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Predicting stock returns with machine learning: Global versus sector models

Author: Witter, Johannes
Publisher: Planegg: Junior Management Science e. V.
Year: 2025
DOI: 10.5282/jums/v10i3pp561-581
Source: https://www.econstor.eu/bitstream/10419/326965/1/1935981846.pdf
Wi e , Johannes
A icle
P edic ing s ock e u ns wi h machine lea ning: Global
e sus sec o models
Junio Managemen Science (JUMS)
P o ided in Coope a ion wi h:
Junio Managemen Science e. V.
Sugges ed Ci a ion: Wi e , Johannes (2025) : P edic ing s ock e u ns wi h machine lea ning: Global
e sus sec o models, Junio Managemen Science (JUMS), ISSN 2942-1861, Junio Managemen
Science e. V., Planegg, Vol. 10, Iss. 3, pp. 561-581,
h ps://doi.o g/10.5282/jums/ 10i3pp561-581
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Junio Managemen Science 10(3) (2025) 561-581
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ISSN: 2942-1861
Edi o :
DOMINIK VAN AAKEN
Ad iso y Edi o ial Boa d:
FREDERIK AHLEMANN
JAN-PHILIPP AHRENS
THOMAS BAHLINGER
MARKUS BECKMANN
SULEIKA BORT
ROLF BRÜHL
KATRIN BURMEISTER-LAMP
CATHERINE CLEOPHAS
NILS CRASSELT
BENEDIKT DOWNAR
KERSTIN FEHRE
MATTHIAS FINK
DAVID FLORYSIAK
GUNTHER FRIEDL
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WOLFGANG GÜTTEL
NINA KATRIN HANSEN
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ARJAN KOZICA
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ANDREAS OSTERMAIER
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ARTHUR POSCH
MARCEL PROKOPCZUK
TANJA RABL
SASCHA RAITHEL
NICOLE RATZINGER-SAKEL
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THOMAS RUSSACK
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UTE SCHMIEL
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MARTIN SCHNEIDER
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LARS SCHWEIZER
DAVID SEIDL
THORSTEN SELLHORN
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BARBARA E. WEISSENBERGER
ISABELL M. WELPE
HANNES WINNER
THOMAS WRONA
THOMAS ZWICK
Volume 10, Issue 3, Sep embe 2025
JUNIOR
MANAGEMENT
SCIENCE
Johannes Wi e ,P edic ing S ock Re u ns Wi h Machine
Lea ning: Global Ve sus Sec o Models
Robin Roskosch, Bewa e o Bullshi –A Quali a i e S udy on
Young Adul s’ Sus ainabili y Awa eness o Online
Se ices
Nadhilla Mazaya,Boa d Gende Di e si y: E idence F om
Indonesia
Alexande Sake, Value C ea ion Oppo uni ies o Gene a i e
AI –A Case S udy
Jus us Olb ich, The E ec o Changes in In e nal Con ol
Sys ems on Audi Risk
Jan Oli e Ho s mann, Manda o y ESG Disclosu e and Fi m
Value –A Quan i a i e Analysis o he E ec o
Di ec i e 2014/95/EU on Fi m Value
Me e Anna Gläse , Go e nmen In e en ions Du ing he
COVID-19 Pandemic, Cul u e, and Co po a e Cos
Beha iou
Zewei Shi, Modeling he Impac o Emission C edi Sys ems on
Au omo i e P oduc Po olios: A Ma hema ical
Analysis o Policy E ec s in Eu ope, China, and he
U.S. Unde Di e en Demand Scena ios
Hagen Alexande Höne loh, Nume ical S udies o he
Scheduling o Con inuous Annealing Lines
Lea Wedel, KPIs o Sus ainabili y: De ining he S a egy o a
Sus ainable Fu u e in he Insu ance Indus y
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ISSN: 2942-1861
P edic ing S ock Re u ns Wi h Machine Lea ning: Global Ve sus Sec o Models
Johannes Wi e
Technical Uni e si y o Munich
Abs ac
Recen s udies highligh he supe io pe o mance o non-linea machine lea ning models, such as neu al ne wo ks, o e
adi ional linea models in p edic ing c oss-sec ional s ock e u ns. These models a e capable o cap u ing complex non-linea
in e ac ions be ween p edic i e signals and u u e e u ns. This hesis esea ches whe he sec o -speci ic neu al ne wo ks
can de ec sec o - ela ed ela ionships o ou pe o m a global neu al ne wo k. I e alua es he p edic i e powe o hese
models a he s ock le el and in po olios based on e u n o ecas s, cons uc ing long-sho po olios om he ne wo ks’
so ed p edic ions. A global neu al ne wo k model ained on he ull sample o s ocks domina es neu al ne wo ks ained
on indi idual GICS sec o s in p edic ing he c oss-sec ion o US s ock e u ns. Sec o -speci ic neu al ne wo ks ail o gain
an ad an age by cap u ing complex sec o -speci ic in e ac ions. They unde pe o m he global neu al ne wo k especially in
he ea ly ou -o -sample pe iod. The smalle sample size o each GICS sec o equi es a ade-o be ween model complexi y
and obus model es ima ion. Pooling he da a o he global model sol es his p oblem and suppo s he p edic i e powe o
neu al ne wo ks o s ock e u ns.
Keywo ds: c oss-sec ion o s ock e u ns; machine lea ning; neu al ne wo ks; e u n p edic ion; sec o models
1. In oduc ion
I compa e a global neu al ne wo k wi h sec o -speci ic
neu al ne wo ks o p edic he c oss-sec ion o US s ock e-
u ns. The e o e, I e alua e he p edic i e powe o he wo
di e en models a he s ock le el and in po olios con-
s uc ed based on e u n o ecas s. Recen esea ch demon-
s a es he abili y o non-linea machine lea ning models
such as neu al ne wo ks o ou pe o m adi ional linea
models in p edic ing he c oss-sec ion o e u ns. I show
how hese neu al ne wo ks pe o m be e when ained on
pooled da a ac oss sec o s han on sec o -speci ic da a om
GICS sec o s. My da a sample co e s he sample pe iod om
July 1963 o Decembe 2022, wi h an ou -o -sample pe iod
om Janua y 1994 o Decembe 2022. The global neu al
I would like o exp ess my g a i ude o all he people who ha e suppo ed
me in he ealiza ion o his hesis. In pa icula , I would like o hank my
supe iso , D . Ma hias Hanaue , o gi ing me he oppo uni y o wo k
on his in e es ing opic and o his guidance and inspi a ion h oughou
he wo k on my hesis.
ne wo k achie es a highe posi i e ou -o -sample R2
OOS han
he sec o models, which unde pe o m a nai e o ecas o
ze o. Fo long-sho po olios based on he so ed p edic-
ions o he neu al ne wo ks, he global model ou pe o ms
he sec o models in e ms o gene a ed mon hly e u ns
and Sha pe a io. The compa ison o sec o neu al ne wo ks
wi h simple OLS models highligh s he necessa y ade-o
be ween es ima ing a s able model wi hou o e i ing and
cap u ing complex sec o -speci ic in e ac ions.
I ollow he machine lea ning aining app oach o Gu e
al. (2020). I ain neu al ne wo ks wi h h ee hidden lay-
e s on 212 s ock-speci ic signals om p io li e a u e o p e-
dic he c oss-sec ion o e u ns o he US s ock ma ke . The
neu al ne wo ks a e ained using a ecu si e scheme wi h
inc easing aining samples and a ixed size olling sample
o alida ion. I e i all models once pe yea in Decembe
and p edic mon hly ou -o -sample e u ns o e he ollowing
yea .
In o al, I ain ele en di e en neu al ne wo k models.
A global model is ained on he ull sample o s ocks. The
DOI: h ps://doi.o g/10.5282/jums/ 10i3pp561-581
© The Au ho (s) 2025. Published by Junio Managemen Science.
This is an Open Access a icle dis ibu ed unde he e ms o he CC-BY-4.0
(A ibu ion 4.0 In e na ional). Open Access unding p o ided by ZBW.
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581562
sec o model consis s o en sec o -speci ic neu al ne wo ks
ained on subse s o he sample da a il e ed o each o he
en sec o s de ined by he Global Indus y Classi ica ion S an-
da d (GICS). To assign s ocks o sec o s, I use exis ing da a
on GICS classi ica ions and a cus om mapping om he S an-
da d Indus ial Classi ica ion (SIC) sys em o GICS sec o s.
Fi s , I e alua e he wo models on hei he ou -o -sample
p edic i e pe o mance o indi idual s ock e u n o ecas s.
The global model ou pe o ms he sec o models in all indi-
idual GICS sec o s and in he ull sample. The global neu al
ne wo k p oduces a mon hly R2
OOS o 3.37% in he ull sam-
ple and a posi i e R2
OOS o each o he en sec o s. The sec o
models achie e a mon hly R2
OOS o -6.06% in he ull sample,
so hey unde pe o m a nai e o ecas o ze o o all mon hly
s ock e u ns. Sec o models pe o m pa icula ly poo ly in
p edic ing s ock e u ns in sec o s wi h small sample sizes.
To unde s and he di e ences in p edic i e pe o mance,
I examine he impo ance o each inpu a iable in p edic ing
e u ns wi h he neu al ne wo k models. Va iable impo ance
is de e mined by he educ ion in R2
OOS ha esul s om se -
ing all alues o a pa icula signal o ze o while holding
all o he model es ima es ixed. The di e en models sha e
mos o hei mos impo an a iables. Analogous o Bli z
e al. (2023), Size is he mos in luen ial signal in p edic -
ing e u ns in he global model and in mos sec o models.
The neu al ne wo ks end o pe o m well in ou -o -sample
e u n o ecas ing when hei ela i e impo ance is skewed
owa ds Size. Sec o models wi h a b oade se o in luen ial
cha ac e is ics unde pe o m ou -o -sample.
I compa e he p o i abili y o po olios based on he
so ed p edic ions o he global model wi h he sec o mod-
els. A he end o each mon h, I so he s ocks in o decile
po olios and calcula e he alue-weigh ed e u ns o hold-
ing he decile po olios o e he nex mon h. A long-sho
po olio buys s ocks wi h he highes expec ed e u ns and
sells hose wi h he lowes . Po olio s a egies based on he
ou -o -sample p edic ions o he global model ou pe o m
he sec o -speci ic models. A long-sho po olio based on
he global model’s o ecas s achie es an a e age mon hly
ou -o -sample e u n o 2.71% and an annualized Sha pe
a io o 2.07. A long-sho po olio based on he o ecas s
o he sec o models gene a es an ou -o -sample mon hly e-
u n o 0.99% and an annualized Sha pe a io o 1.14. The
ou pe o mance o he global neu al ne wo k is pa icula ly
s ong in he ea ly yea s o he ou -o -sample pe iod. Du ing
his pe iod, he global model achie es i s highes e u ns
while he sec o models s uggle o emain p o i able.
The sec o -speci ic neu al ne wo ks con inue o unde pe -
o m when compa ed o simple o dina y leas squa es (OLS)
models. A long-sho po olio based on he so ed p edic-
ions o he OLS sec o models gene a es a highe alue-
weigh ed e u n han he sec o neu al ne wo ks. Howe e ,
he OLS ou pe o mance comes only om he i s hal o
he ou -o -sample pe iod when less aining da a is a ailable.
Small sec o sample sizes equi e a ade-o be ween s able
model es ima ion and cap u ing complex sec o -speci ic in-
e ac ions. The global neu al ne wo k ained on pooled da a
signi ican ly ou pe o ms he OLS models.
The global neu al ne wo k shows some ou -o -sample sec-
o alloca ion powe . In he c oss-sec ion o sec o s, i co -
ec ly p edic s highe ela i e e u ns o he mos p o i able
sec o s and lowe e u ns o he leas p o i able sec o s. As
a esul , he e u ns gene a ed by he global model a e lowe
wi h sec o -neu al po olios.
Sec ion 2 e iews he ecen li e a u e on machine lea n-
ing o e u n o ecas ing and global e sus indus y-speci ic
models. Sec ion 3p esen s he sou ces o s ock da a and in-
pu signals o e u n p edic ion and explains he sec o clas-
si ica ions. Sec ion 4desc ibes he me hodology used o ain
neu al ne wo ks o e u n p edic ion and o cons uc po -
olios based on hese p edic ions. Sec ion 5p esen s he e-
sul s o compa ing he o ecas ing pe o mance o he global
model wi h he sec o models. Sec ion 6concludes.
2. Li e a u e e iew
The pas decades p oduced a a ie y o li e a u e ocus-
ing on p edic ing he c oss-sec ion o s ock e u ns. Au ho s
explo e a a ie y o a iables in linea models, bu he e is
s ill a lack o consensus ega ding which a iables a e e-
la ed o expec ed s ock e u ns. This p oblem is o en e-
e ed o as ac o zoo. Linea models canno deal wi h many
a iables and hei po en ial nonlinea i ies and in e ac ions.
The e o e, ecen esea ch ocuses on mo e complex machine
lea ning models o handle he high dimensionali y in he ac-
o zoo.
Ea ly li e a u e ocuses on single machine lea ning mod-
els and hei abili y o ou pe o m adi ional me hods.
Mo i z and Zimme mann (2016) p opose ee-based con-
di ional po olio so s as a machine lea ning app oach. In
hei models, ecen pas e u ns wi hin he las six mon hs
p edic u u e e u ns and ou pe o m linea models like
Fama-MacBe h eg essions. Excess e u ns pe sis e en a e
accoun ing o ansac ion cos s and common isk ac o s.
T adi ional me hodologies wi h linea assump ions ail o
cap u e a nonlinea ela ionship be ween pas and u u e
e u ns.
A nonpa ame ic model using adap i e g oup leas abso-
lu e sh inkage and selec ion ope a ion (LASSO) isola es el-
e an p edic o s in a high-dimensional se ing in F eybe ge
e al. (2020). A small subse o a iables, including size, o-
al ola ili y, and ecen e u n-based me ics, p o ide unique
p edic i e powe . Thei model signi ican ly ou pe o ms lin-
ea app oaches like hose o Lewellen (2015) wi h highe
ou -o -sample Sha pe a ios. The nonpa ame ic model se-
lec s ewe a iables in-sample han he linea models bu
cap u es nonlinea in e ac ions.
Gu e al. (2020) a e among he i s o p esen a com-
pa a i e analysis o machine lea ning models o p edic ing
s ock e u ns. Thei models ag ee on a small se o domi-
nan a iables, wi h p ice ends, liquidi y, and ola ili y as
he mos in luen ial p edic o s. Neu al ne wo ks pe o m
he bes among all machine lea ning models, and po o-
lios so ed on neu al ne wo k e u n p edic ions double he
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581 563
Sha pe a ios o linea models. Shallow neu al ne wo ks ou -
pe o m deepe ones due o he limi ed da a and low signal-
o-noise a io in empi ical asse p icing. In e ac ions and
nonlinea ela ions be ween a iables d i e he ou pe o -
mance o machine lea ning me hods. Aze edo and Hoegne
(2023) epo simila esul s wi h ee-based and neu al ne -
wo k app oaches. Thei machine lea ning me hods unco e
in e ac ion e ec s challenging adi ional isk-based expla-
na ions in asse p icing. Neu al ne wo k models u ilize 299
s ock ma ke anomalies o achie e mon hly ou -o -sample e-
u ns 1% highe han a linea benchma k. Linea eg essions
a e easy o in e p e bu unde pe o m hei machine lea n-
ing models using s a is ical signi icances and e u ns.
Mos ecen li e a u e uses echnically mo e ad anced
machine lea ning s a egies. Aze edo e al. (2024) examine
he expec ed e u ns o deep lea ning s a egies. Thei long
sho - e m memo y (LSTM) models yield ne e u ns o up o
1.42% pe mon h, e en a e accoun ing o he ecen e a o
high liquidi y, ansac ion cos s, and pos -publica ion decay.
S a egies combining se e al machine lea ning models con-
s an ly achie e signi ican e u ns a e cos . Cos mi iga ion
echniques educe u no e and ading cos s bu do no im-
p o e ne pe o mance. L. Chen e al. (2024) combine h ee
deep neu al ne wo k models wi h no-a bi age cons ain s
o es ima e asse p icing models o US s ocks. Inco po a -
ing speci ic domain knowledge in o he echnical implemen-
a ion enhances p edic ion accu acy and ou -o -sample pe -
o mance. Thei deep lea ning s a egies wi h no-a bi age
cons ain s ou pe o m o he machine lea ning benchma ks
in Sha pe a io and iden i y he co e a iables d i ing asse
p ices.
O he esea ch ocuses on using machine lea ning o p e-
dic s ock e u ns no only in he US bu globally. Tobek
and H onec (2021) agg ega e 153 anomalies ac oss global
ma ke s in o one misp icing signal using machine lea ning.
Thei s a egy ou pe o ms linea models ou -o -sample in
a ious in e na ional ma ke s. Ex ending he aining sam-
ple wi h in e na ional da a does no imp o e ou -o -sample
pe o mance o he US ma ke . Howe e , machine lea ning
models ained on US s ocks pe o m well in ma ke s ou side
he US. Cakici e al. (2023) in es iga e machine lea ning’s
c oss-sec ional e u n p edic abili y ac oss 46 global s ock
ma ke s. Combining p edic ions om mul iple machine
lea ning models deli e s obus ou -o -sample e u ns ac oss
di e se ma ke s. De eloped ma ke s show highe p o i abil-
i y han eme ging ones. Fi m size and idiosync a ic isk a e
he mos impo an a iables o p edic ions, wi h highe
e u ns in smalle i ms and ma ke s wi h mo e idiosync a ic
isk. Aze edo e al. (2023) also ocus on he ou -o -sample
pe o mance o di e en machine lea ning models ac oss an
in e na ional da a sample. Neu al ne wo ks and composi e
p edic o s pe o m he bes . These models achie e signi -
ican mon hly long-sho e u ns o a ound 2%. Po olio
e u ns emain signi ican e en a e ansac ion cos s and
ou pe o m linea benchma k models. D obe z and O o
(2021) use machine lea ning s a egies o p edic Eu opean
s ock e u ns. Like in he US ma ke , machine lea ning
models ou pe o m adi ional linea models by cap u ing
nonlinea i ies and a iable in e ac ions. Neu al ne wo ks
and classi ica ion-based app oaches pe o m bes and gene -
a e signi ican e u ns e en a e ansac ion cos s. Suppo
ec o machines, which classi y s ocks in o decile po olios,
deli e e en highe e u ns by elimina ing he noise o ex-
pec ed e u ns a he s ock le el. Leippold e al. (2022) apply
machine lea ning models o he Chinese s ock ma ke . In a
ma ke domina ed by e ail in es o s, liquidi y and ola ili y
indica o s ha e p edic i e powe o e adi ional a iables
like alua ion a ios. Neu al ne wo ks pe o m bes , pa icu-
la ly o small-cap and non-s a e-owned i ms. They achie e
highe p edic abili y in China han in he US due o dis inc
asse p icing dynamics d i en by local in es o beha io .
Hanaue and Kalsbach (2023) assess a ious machine lea n-
ing models o p edic ing s ock e u ns in a b oad sample o
eme ging ma ke s. Like in de eloped ma ke s, hei mod-
els iden i y nonlinea i ies and in e ac ions among a iables.
T ee-based me hods and neu al ne wo ks deli e supe io
long-sho e u ns and alphas o e linea models. E icien
ading ules ensu e machine lea ning p edic ions ou pe -
o m e en a e ansac ion cos s, sho -selling cons ain s,
and limi ing he sample o big s ocks.
Despi e he s ong pe o mance o machine lea ning mod-
els o s ock ma ke p edic ion, he e a e s ill p oblems in
implemen ing hem in p ac ice. Rasekhscha e and Jones
(2019) ocus on mi iga ing o e i ing in machine lea ning
models. Fea u e enginee ing and o ecas combina ions de-
c ease he isk o o e i ing. These echniques inc ease he
signal- o-noise a io and p oduce mo e obus p edic ions.
A amo e al. (2023) c i icize high limi s- o-a bi age en-
i onmen s and exclude s ocks like mic ocaps and dis essed
i ms. Machine lea ning po olios o en ely on long and
sho posi ions ha a e impossible in p ac ice. The p o i abil-
i y o machine lea ning s a egies is educed when ading
cos s a e conside ed due o high u no e . The au ho s p o-
pose including ading cos s in machine lea ning models and
imposing economic es ic ions. Bli z e al. (2023) epo he
impac o a ying p edic ion ho izons in machine lea ning
models o s ock e u n p edic ions. While one-mon h o e-
cas s yield high g oss e u ns, he ne e u ns conside ing
ansac ion cos s a e minimal a e 2004. Machine lea ning
models wi h longe p edic ion ho izons p o ide signi ican
ne alpha due o educed po olio u no e . One-mon h o e-
cas s ely on sho - e m p ice signals, whe eas longe ho i-
zon p edic ions ely mo e on alue-o ien ed signals. Aligning
he design o machine lea ning models wi h ading ho izons
enhances p o i abili y h ough educed u no e and be e
a e -cos pe o mance.
In his hesis, I ocus on sec o -speci ic e sus global
machine lea ning models. The e o e, i is app op ia e o
conside p io esea ch on he ela ion be ween indus y-
speci ic and ma ke p edic ions. This includes adi ional
me hods o p edic ing he c oss-sec ion o s ock e u ns, like
ac o in es ing and o he linea eg ession models. Kim e
al. (2013) enhance he linea esidual income model (RIM)
wi h indus y-speci ic ac o s using he alue- o-book (V/B)
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581564
a io. Decomposing V/B in o indus y-speci ic componen s
be e p edic s u u e abno mal e u ns and ou pe o ms a-
di ional RIM implemen a ions. Thei indus y-adjus ed RIM
model p o ides supe io p edic i e accu acy o abno mal
e u ns compa ed o con en ional alua ion measu es. Liu
e al. (2014) analyze he p edic i e powe o indus y e -
ec s in op ion-implied ola ili y measu es on s ock e u ns.
Indus y-neu al po olios ou pe o m ull-uni e se po -
olios wi h highe Sha pe a ios and lowe downside isk.
Ca aglia e al. (2006) explo e egion-neu al and indus y-
neu al alue po olios. Indus y-neu al po olios o e
mo e s able e u ns and highe in o ma ion a ios due o
lowe ola ili y and less cyclicali y. They cap u e he global
alue p emium mo e e ec i ely and p o ide a be e isk-
e u n p o ile.
Mode n machine lea ning models also cap u e econom-
ically meaning ul in e dependencies among indus ies. Ra-
pach e al. (2019) examine c oss-indus y e u n p edic abil-
i y wi h machine lea ning models like LASSO. Due o g adual
in o ma ion di usion, lagged e u ns om indus ies like i-
nancial and commodi y sec o s can p edic e u ns in o he
sec o s. An indus y- o a ion s a egy based on hese c oss-
indus y signals ou pe o ms linea me hods. Cine (2019)
uses a andom o es model as a machine lea ning s a egy
o p edic ma ke e u ns wi h indus y e u ns. Indus y e-
u ns p o ide signi ican ou -o -sample p edic i e powe o
he ma ke index. Random o es s ou pe o m adi ional
linea models due o hei capaci y o cap u e bo h linea
and non-linea dynamics. Indus y-le el in o ma ion o e-
cas s ma ke mo emen s in a way ha linea models ail o
cap u e.
This hesis ex ends he exis ing li e a u e on machine
lea ning in empi ical asse p icing by in eg a ing i wi h
indus y-speci ic s a egies. Building upon he wo k o Gu
e al. (2020), I use neu al ne wo ks as well-pe o ming ma-
chine lea ning models o o ecas he c oss-sec ion o s ock
e u ns o he US ma ke . I compa e long-sho po olio
e u ns achie ed by sec o -speci ic models wi h hose o a
global model.
3. Da a
3.1. S ock da a
My sample includes all US s ocks lis ed on he NYSE,
AMEX, and NASDAQ. The sample pe iod uns om July
1963 o Decembe 2022. I sou ce equi y e u ns and o he
s ock ma ke da a om CRSP. Accoun ing da a o eplica e
he Fama and F ench (2015) i e- ac o model is om Com-
pus a .
I calcula e mon hly excess e u ns as he one-mon h s ock
e u n om CRSP o e he isk- ee a e p o ided on Kenne h
R. F ench’s homepage.1To p edic he c oss-sec ion o s ock
e u ns, I sub ac he mon hly c oss-sec ional median excess
1See h p://mba. uck.da mou h.edu/pages/ acul y/ken. ench/da a_lib
a y.h ml (2024).
e u n om he mon hly excess e u n o each s ock. “Re-
u ns” h oughou his hesis deno e hese ela i e mon hly
s ock e u ns wi h he ma ke componen al eady emo ed.
The inpu a iables o he machine lea ning models come
om A. Y. Chen and Zimme mann (2022). I download he
Augus 2023 e sion o signals om hei Open Sou ce Asse
P icing (OSAP) websi e.2This includes 209 i m-le el cha -
ac e is ics eplica ed om he academic asse p icing li e a-
u e. I use he e ms a iables, signals, and cha ac e is ics
in e changeably h oughou his hesis.
In addi ion o he 209 signals om he OSAP da a, I de ine
h ee inpu a iables om CRSP da a. Sho - e m e e sal is
he p io one-mon h e u n, P ice is he na u al loga i hm o
he CRSP p ice da a ield, and Size is he na u al loga i hm
o he p ice mul iplied by he sha es ou s anding.
All inpu a iables a e signed so ha highe alues co e-
spond o highe expec ed e u ns. Following Gu e al. (2020),
Bli z e al. (2023) and o he ecen li e a u e, I ank all inpu
a iables c oss-sec ionally o each mon h in o he in e al o
[-1,1]. This helps neu al ne wo k models deal wi h a ying
anges o alues and di e en a iances ac oss he signals
du ing aining. Missing alues a e illed wi h he mon hly
c oss-sec ional median ank.
I ollow Hou e al. (2020) and Bli z e al. (2023) and ex-
clude mic ocaps om my sample o p e en hem om d i -
ing my esul s. I de ine mic ocaps as all s ocks wi h a mon hly
ma ke capi aliza ion below he 20 h pe cen ile o he NYSE
ma ke capi aliza ion in ha mon h.
A e excluding mic ocaps, my ull sample om July
1963 o Decembe 2022 includes app oxima ely 1.3 million
mon hly s ock obse a ions wi h a mon hly a e age o 1842
s ocks.
3.2. Sec o da a
To ain sec o -speci ic machine lea ning models, I assign
all s ocks in my sample o sec o s acco ding o he Global
Indus y Classi ica ion S anda d (GICS) om MSCI and S&P.
I ca ego ize s ocks in o en sec o s de ined by GICS: Ene gy,
Ma e ials, Indus ials, Consume Disc e iona y, Consume
S aples, Heal h Ca e, Financials, In o ma ion Technology,
Communica ion Se ices, and U ili ies. Due o he small
numbe o obse a ions, I include he Real Es a e sec o in
he Financials sec o . This co esponds o he GICS classi i-
ca ion be o e 2016, be e ep esen ing he bigges pa o
my sample pe iod.
I p e e he GICS o e he S anda d Indus ial Classi ica-
ion (SIC) sys em o en used in o he li e a u e on indus y
speci ics. The GICS is he mo e mode n indus y axonomy
wi h a s onge ocus on new indus ies like he compu e ,
so wa e, and in o ma ion echnology sec o s.
I sou ce da a on SIC indus y classi ica ion om CRSP
and da a on GICS sec o classi ica ion om Compus a . GICS
da a has weake co e age han SIC da a, pa icula ly om
2See h ps://www.openasse p icing.com/augus -2023-da a- elease/
(2023).

J. Wi e /Junio Managemen Science 10(3) (2025) 561-581 565
he beginning o my sample un il 1985. The e o e, I de elop
a mapping om SIC indus ies o GICS sec o s desc ibed in
Table 1. I a mon hly s ock obse a ion is no assigned o a
sec o unde GICS bu o a SIC indus y, I ill in he missing
GICS classi ica ion based on he mapping in Table 1.
The mapping is based on wo di e en inpu s. Fi s , I con-
side o e laps be ween he SIC and GICS classi ica ions o
s ock obse a ions wi h bo h da a poin s in my sample. Fo
example, 90% o all s ocks classi ied as Financials in SIC a e
also classi ied as Financials in GICS. Simila ly, o e 80% o all
s ocks classi ied as u ili ies in SIC a e also classi ied as U ili-
ies in GICS. Second, I conside he de ini ions o he indus y
axonomy in bo h classi ica ion sys ems.3Fo example, SIC
includes anspo a ion, communica ions, elec ic, gas, and
sani a y se ices in one Di ision. GICS classi ies T anspo a-
ion as an indus y g oup in he sec o Indus ials, commu-
nica ions belong o he sec o Communica ion Se ices, and
elec ic, gas, and sani a y se ices belong o he sec o U il-
i ies. This enables me o map he co esponding SIC majo
g oups o he GICS sec o s.
Table 1includes he en GICS sec o s used o sec o -
speci ic machine lea ning models. I summa izes all SIC digi
codes and he co esponding indus y desc ip ion mapped o
each GICS sec o . Fo example, I map he SIC codes 1200-
1399 (Majo G oup Coal Mining and Majo G oup Oil And
Gas Ex ac ion) and 2900-2999 (Majo G oup Pe oleum Re-
ining And Rela ed Indus ies) o he GICS sec o Ene gy. The
SIC indus ies mapped o a GICS sec o can be ei he en i e
Di isions (de e mined by a capi al le e ) o mo e de ailed
Majo G oups (de e mined by he i s wo digi s) and Indus-
y G oups (de e mined by he i s h ee digi s).
I I ecognize no clea ela ionship be ween a SIC indus y
and GICS sec o s, hen I don’ include his SIC indus y in he
mapping. A s ock wi h missing GICS da a and a SIC code no
con ained in he mapping will no be assigned o a GICS sec-
o . The same happens o s ocks wi h missing da a o bo h
classi ica ion sys ems. A e applying he mapping, 15,239
ou o 1.3 million mon hly s ock obse a ions in he ull sam-
ple a e no assigned o a GICS sec o . They a e included in
he aining da a o he global neu al ne wo k bu no in he
aining da a o he sec o -speci ic neu al ne wo ks.
4. Me hodology
4.1. Re u n p edic ion using machine lea ning
My me hodology ollows Gu e al. (2020) and Hanaue
and Kalsbach (2023), wi h he di e ence ha I ain one
global model and one sec o -speci ic model o each o he
en GICS sec o s.
I aim o p edic he c oss-sec ion o US s ock e u ns, so
I o ecas he ou pe o mance o a s ock ela i e o he US
s ock ma ke . The ela i e e u n o a s ock is de ined as
3See h ps://www.msci.com/ou -solu ions/indexes/gics o GICS de ini-
ions and h ps://www.osha.go /da a/sic-manual o SIC de ini ions.
el
i, = i, −Mk , (1)
whe e i, is he excess e u n o s ock iin mon h and Mk
is he c oss-sec ional median excess e u n ac oss all s ocks
in he sample in mon h .
I desc ibe he one-mon h-ahead ela i e e u n o a s ock
el
i, +1as an addi i e p edic ion e o model:
el
i, +1=E  el
i, +1|xi, +εi, +1. (2)
E [ el
i, +1|xi, ]is he condi ional expec ed ela i e e u n
o s ock iin mon h o mon h +1. I is condi ional as
i depends on xi, ∈Rp, a ec o o s ock-speci ic pinpu
a iables known a mon h .εi, +1is he p edic ion e o
e m.
I es ima e he expec ed ela i e e u n wi h he unknown
unc ion ∗, ∗:Rp→R. I es ima es he expec ed e u n
depending only on he ec o o ps ock-speci ic inpu a i-
ables a ailable in mon h :
E  el
i, +1|xi, = ∗(xi, ). (3)
In he case o neu al ne wo ks, he unknown unc ion
∗(x)is app oxima ed by a nonlinea unc ion (x,θ,ρ).
This unc ion is pa ame ized by a ec o o coe icien s θ
and a se o hype pa ame e s ρ. When aining neu al ne -
wo ks, he coe icien s θa e es ima ed om he aining da a
wi h espec o he hype pa ame e s ρand a p ede ined loss
unc ion L. The hype pa ame e s ρa e op imized conce n-
ing he loss unc ion Lbased on he es ima ed coe icien s θ
and a ailable da a.
Neu al ne wo ks as a o m o supe ised machine lea n-
ing ou pe o m linea models in p io li e a u e (Aze edo &
Hoegne , 2023; Gu e al., 2020). The e o e, I choose h ee-
laye neu al ne wo ks as he machine lea ning model o his
hesis. Appendix A4 desc ibes he model a chi ec u e and
hype pa ame e s used o ain he neu al ne wo ks. In ad-
di ion, I la e use o dina y leas squa es (OLS) models as a
benchma k o sec o -speci ic neu al ne wo ks.
The global neu al ne wo k model akes he ull sample o
1.3 million mon hly s ock obse a ions as inpu . The sec o -
speci ic machine lea ning models o he en GICS sec o s
ake all mon hly s ock obse a ions assigned o he espec-
i e GICS sec o as inpu . The e o e, he samples used o
ain he sec o -speci ic neu al ne wo ks di e signi ican ly
in hei numbe o obse a ions, depending on he sec o ’s
size.
To a oid da a leakage, I di ide all inpu samples in o h ee
disjoin ime pe iods, which always keep he empo al o de -
ing o he da a: he aining, alida ion, and es ing samples.
Fi s , I es ima e he neu al ne wo k coe icien s o a ange
o hype pa ame e alues on he aining sample. The ali-
da ion sample compa es he loss unc ion esul s o each se
o hype pa ame e s based on he es ima ed model om he
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581566
Table 1: Mapping o SIC o GICS indus ies
This able maps indus ies classi ied unde he S anda d Indus ial Classi ica ion (SIC) sys em o sec o s classi ied unde he Global Indus y Classi ica ion
S anda d (GICS) sys em used in his hesis. The i s column con ains he 11 di e en sec o s o he GICS sys em. Th oughou his hesis, he 11 h sec o ,
Real Es a e, is no conside ed sepa a ely, bu is included in he Financials sec o . The second and hi d columns con ain he SIC indus ies mapped o he
GICS sec o in he i s column. The second column con ains he SIC digi code, and he hi d includes he co esponding indus y desc ip ion. The SIC
indus ies mapped o a GICS sec o can be ei he en i e Di isions (de e mined by a capi al le e ) o mo e de ailed Majo G oups (de e mined by he i s
wo digi s) and Indus y G oups (de e mined by he i s h ee digi s). This mapping is used o classi y indi idual s ocks in o sec o s when GICS sec o
in o ma ion is una ailable in Compus a . I a SIC indus y classi ica ion is a ailable, he GICS sec o is added acco ding o his mapping. I no SIC
classi ica ion is a ailable ei he , he GICS sec o alue is ’Missing’, and he s ock is no included in he aining da a o he sec o models.
GICS Sec o SIC Code SIC Desc ip ion
10 - Ene gy 1200–1399 Coal Mining and Oil/Gas Ex ac ion
2900–2999 Pe oleum Re ining and Rela ed Indus ies
15 - Ma e ials Di ision B 1000–1499
(excluding 1200–1399)
Mining (excluding Coal Mining and Oil/Gas Ex ac ion)
2400–2499 Lumbe and Wood P oduc s, Excep Fu ni u e
2600–2699 Pape and Allied P oduc s
3300–3399 P ima y Me al Indus ies
20 - Indus ials Di ision C 1500–1799 Cons uc ion
Di ision E 4000–4999
(excluding 4800–4999)
T anspo a ion (excluding Communica ions and U ili ies)
Di ision J 9100–9999
(excluding 9900–9999)
Public Adminis a ion (excluding Nonclassi iable Es ablishmen s)
3400–3499 Fab ica ed Me al P oduc s, Excep Machine y and T anspo a ion
Equipmen
3500–3599 Indus ial and Comme cial Machine y
7320–7329 C edi Repo ing and Collec ion
7340–7349 Se ices o Dwellings and O he Buildings
7360–7369 Pe sonnel Supply Se ices
7390–7399 Miscellaneous Business Se ices
7500–7599 Au omo i e Repai Se ices and Pa king
7600–7699 Miscellaneous Repai Se ices
8710–8719 Enginee ing A chi ec u al and Su eying Se ices
8740–8749 Managemen and Public Rela ions
8900–8999 Se ices No Elsewhe e Classi ied
25 - Consume
Disc e iona y
Di ision G 5200–5999
(excluding 5400–5499)
Re ail T ade (excluding Food S o es)
Di ision F 5000–5199
(excluding 5140–5189,
5180–5189)
Wholesale T ade (excluding G oce ies and Bee , Wine, and Dis illed
Alcoholic Be e ages)
1500–1599 Building Cons uc ion Gene al Con ac o s and Ope a i e Builde s
2200–2299 Tex ile Mill P oduc s
2300–2399 Appa el and O he Finished P oduc s Made om Fab ics and Simila
Ma e ials
2500–2599 Fu ni u e and Fix u es
3100–3199 Lea he and Lea he P oduc s
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581 567
Table 1— con inued
GICS Sec o SIC Code SIC Desc ip ion
25 - Consume
Disc e iona y
3900–3999 Miscellaneous Manu ac u ing Indus ies
7000–7099 Ho els, Rooming Houses, Camps, and O he Lodging Places
7200–7299 Pe sonal Se ices
7800–7899 Mo ion Pic u es
7900–7999 Amusemen and Rec ea ion Se ices
30 - Consume S aples Di ision A 0100–0999 Ag icul u e, Fo es y, and Fishing
2000–2199 Food P oduc s and Tobacco P oduc s
5140–5159 Wholesale T ade - G oce ies
5180–5189 Wholesale T ade - Bee , Wine, and Dis illed Alcoholic Be e ages
5400–5499 Food S o es
35 - Heal h Ca e 2800–2899 Chemicals and Allied P oduc s (including D ugs)
3840–3849 Su gical Medical and Den al Ins umen s and Supplies
3850–3859 Oph halmic Goods
8000–8099 Heal h Se ices
8300–8399 Social Se ices
8730–8739 Resea ch De elopmen and Tes ing Se ices
9900–9999 Nonclassi iable Es ablishmen s
40 - Financials Di ision H 6000–6799 Finance, Insu ance, and Real Es a e
45 - In o ma ion
Technology
3570–3579 Compu e and O ice Equipmen
3600–3699 Elec onic and O he Elec ical Equipmen and Componen s
3820–3829 Labo a o y Appa a us and Analy ical Op ical Measu ing and Con olling
Ins umen s
7370–7379 Compu e P og amming Da a P ocessing
50 - Communica ion
Se ices
4800–4899 Communica ions
55 - U ili ies 4900–4999 Elec ic, Gas, and Sani a y Se ices
60 - Real Es a e Included in GICS sec o 40 - Financials
aining sample. The op imal hype pa ame e se minimizes
he loss unc ion on he alida ion sample and is hen used
o e ain i e di e en neu al ne wo ks on he aining sam-
ple. I use hese i e models o p edic he mon hly e u ns
o he es sample. The inal p edic ion o each s ock is he
a e age o e he i e indi idual model p edic ions o educe
he a iance in single o ecas s.
Following he aining app oach as in Gu e al. (2020)
and Bli z e al. (2023), I e ain he models once a he end
o e e y yea bu p edic e e y mon h using he la es model
and da a. The i s 18 yea s o my sample (July 1963 o De-
cembe 1981) a e he i s aining sample, and he nex 12
yea s (Janua y 1982 o Decembe 1993) he i s alida ion
sample. The i s one-yea es sample is he ollowing 12
mon hs, so he i s ou -o -sample (OOS) p edic ion is made
o Janua y 1994. To p edic he mon hly e u ns om Jan-
ua y 1995 o Decembe 1995, I ex end he aining sample by
one yea (July 1963 o Decembe 1982) and oll o wa d he
alida ion sample by one yea (Janua y 1983 o Decembe
1994). I epea his p ocedu e o each yea in my sample.
No u u e in o ma ion is leaked om a p e ious pe iod.
To e alua e he p edic i e pe o mance o indi idual
s ock e u n o ecas s on he es sample, I use he pooled
ou -o -sample R2
OOS de ined by Gu e al. (2020):
R2
OOS =1−PT
PN
i el
i, −ˆ
el
i, 2
PT
PN
i el
i, 2. (4)
This me ic compa es he ou -o -sample o ecas s wi h a
nai e o ecas o ze o, be e sui ed o indi idual e u n p e-
dic ions han he ypical o ecas wi h mean e u ns.
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581568
4.2. Va iable impo ance
As a p ima y measu e o in e p e he esul s o he ma-
chine lea ning models, I ank he espec i e inpu a iables
acco ding o hei a iable impo ance. This aims o iden i y
cha ac e is ics ha in luence he c oss-sec ion o expec ed e-
u ns. Following Gu e al. (2020) and Bli z e al. (2023), I
de ine a iable impo ance as he educ ion in panel p edic-
i e ou -o -sample R2
OOS. Fo each annually ained neu al
ne wo k, I i e a i ely se he alues o each inpu a iable o
ze o while holding he model es ima es ixed. In each i e -
a ion, I p edic new mon hly e u ns o he espec i e one-
yea es sample and calcula e he change in ou -o -sample
R2
OOS. I use he a e age a iable impo ance ac oss each an-
nually ained model o ank each ea u e whe e ank one
is he mos impo an cha ac e is ic. To de e mine he ela-
i e impo ance o indi idual a iables o he pe o mance o
each model, I no malize a iable impo ance wi hin a model
o sum o one. I se ing a signal o ze o inc eases he panel
p edic i e ou -o -sample R2
OOS, he a iable impo ance mea-
su e o ha signal is nega i e. The e o e, he no malized
a iable impo ance o o he signals wi hin a model can be
g ea e han 1.
4.3. Machine lea ning po olios
Po olio pe o mance is my p ima y me ic o e alua -
ing he o ecas pe o mance o machine lea ning models. A
he end o each mon h, each model p oduces a p edic ion o
a s ock’s nex mon h’s ela i e e u n ˆ
el
i, +1. Based on hese
o ecas s, I so s ocks om highes o lowes p edic ed e-
u n and assign hem in o decile po olios using NYSE b eak-
poin s.4I eassign and ebalance po olios a he end o
each mon h. I compu e alue-weigh ed e u ns om hold-
ing he decile po olios o e he nex mon h o a oid small
s ocks d i ing he esul s. Finally, I cons uc a ze o-ne in-
es men (long-sho ) po olio ha goes long in he high-
es decile po olio (decile 10) and sho in he lowes decile
po olio (decile 1).
I e alua e he p edic i e pe o mance o h ee di e en
machine lea ning s a egies. The i s s a egy o ms decile
po olios based on he p edic ions o he global neu al ne -
wo k model. The second s a egy o ms decile po olios wi h
sec o -neu al po olio so s based on he global neu al ne -
wo k model p edic ions. This means each sec o ge s indi id-
ual b eakpoin s o he decile so s. The hi d s a egy o ms
decile po olios based on he p edic ions om he sec o -
speci ic neu al ne wo ks. Fi s , I pe o m po olio so s o
each sec o indi idually based on he espec i e model o e-
cas s. Then, I combine he sec o -speci ic decile po olios
in o single decile po olios. Fo example, he op decile po -
olio o mon h con ains all s ocks om he en op decile
po olios ac oss all sec o s in mon h .
4B eakpoin s o he decile so s a e i s de e mined using only s ocks
lis ed on he NYSE. All s ocks a e hen so ed in o decile po olios based
on hese b eakpoin s, ega dless o which exchange hey a e lis ed on. As
he NYSE con ains s ocks wi h la ge a e age ma ke capi aliza ions, his
educes he in luence o small s ocks on he po olio so s.
To compa e he esul s o he h ee neu al ne wo k po -
olio so s, I p o ide each decile po olio’s a e age p edic ed
e u ns, ealized e u ns, and Sha pe a ios. I compu e mean
e u ns and associa ed -s a is ics o he long-sho po olios
o each machine lea ning s a egy. To benchma k he long-
sho e u ns, I conside he adjus ed R2- alue and alphas
om he Capi al Asse P icing Model (CAPM) and Fama and
F ench (2015) i e- ac o model wi h hei associa ed Newey
and Wes (1987) adjus ed -s a is ics using six lags. The ac-
o s a e based on he same sample o 1.3 million mon hly
s ock obse a ions as he neu al ne wo k po olios.
Finally, I benchma k he p edic i e pe o mance o he
sec o -speci ic neu al ne wo ks wi h OLS models in Sec-
ion 5.4. The po olio so s wo k simila ly bu a e based
on p edic ions om sec o -speci ic OLS models. All sec o
models men ioned ou side o Sec ion 5.4 always e e o
sec o -speci ic neu al ne wo ks.
5. Empi ical esul s
5.1. P edic ion pe o mance
The global neu al ne wo k domina es he sec o -speci ic
neu al ne wo ks in ou -o -sample p edic i e pe o mance o
indi idual s ock e u n o ecas s. On he ull sample o e he
ou -o -sample pe iod om Janua y 1994 o Decembe 2022,
he global model achie es a mon hly R2
OOS o 3.37%. The sec-
o models achie e a mon hly R2
OOS o -6.06%, so hey unde -
pe o m a nai e o ecas o ze o o all mon hly s ock e u ns.
Ac oss all en GICS sec o s, he global model ou pe o ms he
espec i e sec o model. Sec o models pe o m pa icula ly
wo se o sec o s wi h only a small sample size.
Table 2compa es he mon hly ou -o -sample s ock-le el
p edic ion pe o mance ac oss all en GICS sec o s be ween
he global model and he en sec o -speci ic models. The sec-
o pe o mance o he global model is de e mined by il-
e ing he ou -o -sample p edic ions o he global neu al ne -
wo k o he espec i e sec o s ocks. In addi ion, Table 2in-
cludes he a e age mon hly obse a ions pe sec o o e he
ull sample pe iod om July 1963 o Decembe 2022. This
demons a es he sample size o each sec o .
The global model p oduces posi i e R2
OOS s a is ics ac oss
all indi idual sec o s. Taking he ull sample o s ocks, he
global model achie es a R2
OOS o 3.37%. The e o e, he p e-
dic ions consis en ly ou pe o m a nai e o ecas o ze o o
all s ocks in all mon hs o e he ou -o -sample pe iod. Excep
o U ili ies, he R2
OOS s a is ics o all sec o s a e la ge han
2%. O e six ou o en sec o s he global model p oduces
R2
OOS abo e 3%, wi h he highes alue a 4.57% o he sec-
o Heal h Ca e. U ili ies appea o be an ou lie wi h 0.11%,
mo e han an o de o magni ude smalle han he R2
OOS o
all o he sec o s. The e is no co ela ion be ween he sec o s’
sample size and he p edic i e pe o mance o he global neu-
al ne wo k. The model achie es a R2
OOS o 3.11% on Com-
munica ion Se ices, he sec o wi h he smalles sample size
and only an a e age o 58 s ocks pe mon h in he sample.
This is mo e han he 2.26% o Financials, he bigges sec o
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581 575
Table 4: S a is ics o neu al ne wo k long-sho po olios
This able summa izes he ou -o -sample s a is ics o he alue-weigh ed long-sho po olios o med om di e en neu al ne wo k model e u n
p edic ions. All s ocks a e so ed in o decile po olios based on hei p edic ed ela i e e u ns (wi h he ma ke componen emo ed) o he nex mon h.
A long-sho po olio buys he highes expec ed e u n s ocks (decile 10) and sells he lowes (decile 1). Resul s a e epo ed o he global model, he
global model wi h sec o -neu al po olio so s, and he sec o models. Panel A p esen s he a e age alue-weigh ed mon hly ull sample mean e u n and
a e age mon hly sub-sample mean e u ns wi h associa ed -s a is ics ( -s a ). Panel B epo s he a e age CAPM alphas and a e age Fama and F ench
(2015) i e- ac o model (FF5) alphas, co esponding Newey and Wes (1987) adjus ed -s a is ics wi h six lags ( -s a α), and co esponding R2. The sample
consis s o US CRSP s ocks, excluding mic ocap s ocks wi h a ma ke capi aliza ion smalle han he 20 h pe cen ile o s ocks lis ed on he NYSE. The
sample uns om Janua y 1994 o Decembe 2022.
Global model Global model +
sec o -neu al so s
Sec o models
Panel A: Pe cen age e u ns
Mean 1994–2022 2.71 2.08 0.99
-s a 11.16 10.36 6.14
Mean 1994–2008 3.24 2.66 0.70
-s a 9.55 9.08 3.06
Mean 2009–2022 2.14 1.46 1.29
-s a 6.24 5.49 5.80
Panel B: Risk-adjus ed pe o mance
CAPM alpha (%) 2.57 2.00 0.98
-s a α8.80 9.55 5.78
R20.03 0.02 -0.003
FF5 alpha (%) 2.44 1.90 0.85
-s a α8.80 8.78 5.98
R20.14 0.12 0.04
mance is signi ican ly mo e subs an ial in he i s hal o he
ou -o -sample pe iod, when i ea ns mo e han ou imes as
much as he sec o neu al ne wo ks.
The global model pe o ms be e om 1994 o 2008
wi h a 3.24% mon hly long-sho e u n and an associa ed
-s a is ic o 9.55 compa ed o a 2.14% e u n om 2009 o
2022 wi h an associa ed -s a is ic o 6.24. This is analogous
o he esul s o Bli z e al. (2023), who ind a weake ou -
o -sample pe o mance o machine lea ning models in hei
la e subsample a e 2004. They base his esul pa ly on
he s eng h o he Size ac o o e di e en ime pe iods.
Size is he mos impo an p edic o o e u ns in my global
neu al ne wo k. Acco ding o Bli z e al. (2023), he s onge
pe o mance o he global model in he ea lie subsample can
be a ibu ed o he excellen pe o mance o he Size ac o
in ea lie pe iods. The Size ac o s a s o pe o m wo se
in he las 20 yea s, which weakens he p o i abili y o he
global neu al ne wo k in he second subsample.
The long-sho po olio based on he so ed p edic ions
o he sec o models unde pe o ms he global model, pa ic-
ula ly in he i s hal o he ou -o -sample pe iod. I achie es
a mon hly mean e u n o 0.7% wi h an associa ed -s a is ic
o 3.06. Al hough s ill less p o i able han he global model,
he sec o -speci ic neu al ne wo ks imp o e in he second
subsample wi h an a e age e u n o 1.29%. Associa ed -
s a is ics a e no a apa , wi h 5.80 o he sec o models
and 6.24 o he global model. The e o e, bo h s a egies a e
simila in isk- e u n p o ile o e he second hal o he ou -
o -sample pe iod.
Two ac o s can d i e he imp o ed pe o mance o he
sec o models in he la e pe iod o he sample. Fi s , no all
sec o neu al ne wo ks ely on Size as an essen ial signal o
he same ex en as he global model. The e o e, hei p o -
i abili y is no as dependen on he pe o mance o he Size
ac o . Second, in he ea lie pa o he sample, he aining
samples o he sec o -speci ic neu al ne wo ks a e iny, wi h
a e y low obse a ions- o-pa ame e s a io. This makes i
mo e challenging o es ima e coe icien s in a neu al ne wo k
wi hou o e i ing on he aining da a.
Table A1 in he Appendix epo s he ou -o -sample pe -
o mance o indi idual GICS sec o long-sho po olios
based on he so ed p edic ions om he en sec o -speci ic
neu al ne wo ks.
Panel B o Table 4summa izes he isk-adjus ed pe o -
mance o he long-sho po olios o each s a egy based
on ac o p icing models. I epo alphas on op o he Cap-
i al Asse P icing Model (CAPM) and he Fama and F ench
(2015) i e- ac o model (FF5) wi h associa ed Newey and

J. Wi e /Junio Managemen Science 10(3) (2025) 561-581576
Wes (1987) adjus ed -s a is ics wi h six lags ( -s a α) and
adjus ed R2wi h espec o each ac o model.
The isk-adjus ed pe o mance yields simila esul s as
he aw long-sho e u ns wi h a supe io global model. All
h ee neu al ne wo k s a egies achie e s a is ically signi i-
can alphas wi h -s a is ics anging om 5.78 o he sec-
o models on he CAPM o 9.55 o he global model wi h
sec o -neu al po olio so s on he CAPM. The global model
p oduces he highes alphas, wi h 2.57% on he CAPM and
2.44% on FF5. The sec o -neu al po olio so s sligh ly
lowe he alphas o he global model o 2.00% on op o he
CAPM and 1.90% on op o FF5. The sec o -speci ic models
span he lowes alphas, wi h 0.98% on he CAPM and 0.85%
on FF5. The CAPM ba ely has any explana o y powe on he
a e age long-sho e u ns o neu al ne wo k o ecas s, wi h
R2ne e exceeding 0.03 o he global model. The i e- ac o
model explains as much as 14% o he a ia ion in he long-
sho po olio based on he global model’s o ecas s. Unsu -
p isingly, he Size ac o is he s a is ically mos signi ican
ac o in eg essions o po olio e u ns on he i e- ac o
model o all neu al ne wo k s a egies.
The esul s o Tables 3and 4a e illus a ed in Figu e 3. I
plo s he cumula i e log e u ns o he alue-weigh ed long
and sho sides o he h ee neu al ne wo k s a egies in he
ou -o -sample pe iod. The long side buys he s ocks in he
highes decile po olio and he sho side sells he lowes
decile po olio. The e o e, e u ns on he sho po olio a e
he ela i e e u ns o he lowes decile s ocks mul iplied by
-1. The cumula i e pe o mance is cu o in Decembe 2008
and es a ed in Janua y 2009 o p esen di e ences in cu-
mula i e e u ns be ween he wo hal es o he ou -o -sample
pe iod.
The global model consis en ly domina es he sec o mod-
els o e ime. Howe e , i s ou pe o mance is mainly in he
i s hal o he ou -o -sample pe iod and ape s o he ea e .
The cumula i e e u ns o all h ee s a egies ollow simila
pa e ns in he second hal o he ou -o -sample pe iod. The
long-sho sp eads a e s ill la ge o he global neu al ne -
wo k a e 2008, bu he magni ude o he e u ns ela i e
o he sec o models is smalle . Sec o -neu al po olio so -
ing p e en s he global model om ou pe o ming he sec o
neu al ne wo ks in he second hal o he ou -o -sample pe-
iod. The pe o mance o long-sho po olios o he global
model is no p edominan ly based on he sho side, which
would aise ques ions abou p ac ical implemen a ion due o
sho ing ic ions.
The e u n se ies o he global model’s long po olio is
s ong ini ially and s a s o shi a e 2000. I s ill deli e s
posi i e esul s, bu wi h highe ola ili y, he o e all magni-
ude o ela i e e u ns is lowe . The s ocks in he op decile
o he global neu al ne wo k’s o ecas s cumula e double he
e u ns in he eigh yea s om 1994 o 2001 han in he ol-
lowing se en yea s. The second hal o he ou -o -sample
pe iod om 2009 o 2023 accumula es oughly he same e-
u ns as he i s eigh yea s. Apa om he shi in he e-
u n se ies du ing he do -com bubble c ash in 2001, global
shocks such as he inancial c isis o 2008 and 2009 o he
COVID-19 pandemic in ea ly 2020 did no cause signi ican
po olio down u ns.
The sho side o he global model gene a es posi i e
e u ns bu unde pe o ms he long po olio in bo h sub-
samples. I s posi i e pe o mance is mainly due o he do -
com bubble c ash om 2000 o 2002. Apa om his pe iod,
cumula i e e u ns inc ease only sligh ly o mo e sideways
o e ex ended pe iods in he plo .
The long and sho sides o he po olios o he global
model wi h sec o -neu al po olios gene ally ollow he
same pa e n. The magni ude o e u ns and he long-sho
sp ead a e smalle . The shi in he e u n se ies a e 2000
is mo e p onounced, and he do -com bubble c ash causes a
po olio down u n.
The op and bo om decile po olios based on he so ed
p edic ions o he sec o neu al ne wo ks do no pe o m well
in he i s hal o he ou -o -sample pe iod. The long po o-
lio gene a es no signi ican e u ns a e 1999 and wipes ou
all accumula ed e u ns in he do -com bubble c ash. The
sho po olio bene i s om his c isis bu o he wise does
no gene a e any subs an ial e u ns. I is he only po olio
o accumula e nega i e e u ns in pa s o he ou -o -sample
pe iod. A e 2008, he cumula i e e u ns o he long and
sho po olios eco e bu ne e each he magni ude o he
global model.
Appendix A2 plo s he cumula i e log e u ns o op and
bo om decile po olios so ed on he ou -o -sample e u n
o ecas s o indi idual sec o -speci ic neu al ne wo k models.
5.4. Benchma king wi h OLS sec o models
Sec o -speci ic neu al ne wo ks unde pe o m a bench-
ma k in he o m o sec o -speci ic o dina y leas squa es
(OLS) models in he ull sample. A long-sho po olio based
on he so ed p edic ions o OLS sec o models gene a es a
highe alue-weigh ed ela i e e u n han he sec o neu-
al ne wo ks. Howe e , he OLS ou pe o mance comes only
om he i s hal o he ou -o -sample pe iod. The ade-
o be ween s able model es ima ion and cap u ing sec o -
speci ic complex in e ac ions is pa icula ly ele an o small
sec o samples. Fo ecas s om he global neu al ne wo k on
he pooled da a ac oss sec o s emain mo e p o i able han
he OLS models.
Sec o models unde pe o m he global model ega ding
s ock-le el o ecas ing and long-sho po olio pe o mance,
e en when sec o -speci ic b eakpoin s so he global model
p edic ions. As a i s s ep owa ds unde s anding he ea-
sons o his obse a ion, I compa e he sec o -speci ic mod-
els wi h ano he machine lea ning echnique. The sec o
models used in his hesis build on a neu al ne wo k a chi-
ec u e wi h h ee hidden laye s (NN3). I compa e hese
wi h sec o -speci ic models based on a simple linea p edic-
i e eg ession model es ima ed by o dina y leas squa es.
The me hodology emains he same; only he machine lea n-
ing model o p edic ing e u ns om s ock-speci ic signals
changes.
Table 5compa es he ou -o -sample pe o mance o long-
sho po olios based on he so ed p edic ions om he wo
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581 577
Figu e 3: Cumula i e pe o mance o op and bo om decile po olios
The igu e plo s he cumula i e log e u ns o op and bo om decile po olios so ed on he ou -o -sample neu al ne wo k e u n o ecas s. Each mon h,
s ocks a e so ed in o alue-weigh ed decile po olios based on he p edic ed ela i e e u ns (wi h he ma ke componen emo ed) om he h ee neu al
ne wo k s a egies. The solid and dash lines ep esen long ( op decile) and sho (bo om decile) posi ions, espec i ely. Fo he sho posi ion, he mon hly
ela i e e u ns o he bo om po olio a e mul iplied by -1. The igu e includes plo s o he cumula i e e u ns o he global model, he global model wi h
sec o -neu al po olio so s, and he sec o models. The sample consis s o US CRSP s ocks, excluding mic ocap s ocks wi h a ma ke capi aliza ion smalle
han he 20 h pe cen ile o s ocks lis ed on he NYSE. The sample uns om Janua y 1994 o Decembe 2022. The cumula i e pe o mance is cu o in
Decembe 2008 and es a ed in Janua y 2009 o p esen di e ences in cumula i e e u ns be ween he wo sub-samples.
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581578
Table 5: Pe o mance o NN3 sec o models e sus OLS sec o models
This able compa es he ou -o -sample pe o mance o he alue-weigh ed long-sho po olios o med om di e en machine lea ning sec o model e u n
p edic ions. Resul s a e epo ed o he NN3 sec o models (same sec o models as in Table 4and Figu e 3) and OLS sec o models. All s ocks a e so ed
in o decile po olios based on hei p edic ed ela i e e u ns (wi h he ma ke componen emo ed) o he nex mon h. A long-sho po olio buys he
highes expec ed e u n s ocks (decile 10) and sells he lowes (decile 1). Panel A compa es he a e age alue-weigh ed mon hly ull sample mean e u n
and a e age mon hly sub-sample mean e u ns wi h associa ed -s a is ics ( -s a ). Panel B isualizes he cumula i e log e u ns o op and bo om decile
po olios so ed on he ou -o -sample e u n o ecas s o he wo machine lea ning s a egies. The solid and dash lines ep esen long ( op decile) and sho
(bo om decile) posi ions, espec i ely. The sample consis s o US CRSP s ocks, excluding mic ocap s ocks wi h a ma ke capi aliza ion smalle han he 20 h
pe cen ile o s ocks lis ed on he NYSE. The sample uns om Janua y 1994 o Decembe 2022.
Panel A: Pe cen age e u ns
Sec o Models Mean
1994-2022
-s a Mean
1994-2008
-s a Mean
2009-2022
-s a
NN3 0.99 6.14 0.70 3.06 1.29 5.80
OLS 1.43 7.80 1.78 6.41 1.05 4.53
Panel B: Cumula i e pe o mance o op and bo om decile po olios
di e en machine lea ning me hods. Panel A epo s a -
e age mon hly alue-weigh ed ou -o -sample e u ns wi h
associa ed -s a is ics ( -s a ). The sec o neu al ne wo ks
(NN3) e u ns a e he same as in Panel A o Table 4. Panel
B isualizes he cumula i e ou -o -sample log e u ns o he
alue-weigh ed long and sho sides o he wo machine
lea ning models.
The OLS sec o models ou pe o m he neu al ne wo k
sec o models o e he whole ou -o -sample pe iod om Jan-
ua y 1994 o Decembe 2022. They achie e a e age mon hly
long-sho po olio e u ns o 1.43% wi h an associa ed -
s a is ic o 7.80. Howe e , he esul s di e o he wo di -
e en subsamples. The ou pe o mance o he OLS models is
based solely on he i s hal o he ou -o -sample pe iod om
1994 o 2008. The OLS sec o models gene a e signi ican ly
highe long-sho e u ns han he NN3 sec o models du ing
his pe iod. The mon hly ela i e e u ns o 1.78% o he
OLS models a e mo e han double he 0.70% achie ed by he
sec o models. The pic u e changes when looking a he la e
subsample om 2009 o 2022. In his pe iod, OLS models
unde pe o m NN3 models, wi h a e age mon hly e u ns o
1.05% and an associa ed -s a is ic o 4.53. Panel B illus a es
hese esul s. The cumula i e log e u ns o he OLS long
and sho po olios emain posi i e h oughou he ou -o -
sample pe iod. They pe o m mo e eliably in he ea ly yea s,
wi h only a iny long-sho sp ead. As wi h all o he machine
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581 579
lea ning models, he gains o he sho po olio a e mainly
due o he do com bubble c ash. The bigges di e ence be-
ween he OLS and NN3 sec o models is he long po olio
in he i s hal o he ou -o -sample pe iod. The cumula i e
e u ns o he op decile s ocks based on OLS o ecas s a e
abou an o de o magni ude highe han hei NN3 coun-
e pa s. In he second subsample om 2009 o 2022, he
e u ns o he OLS long and sho po olios ollow a simila
pa e n o he NN3 e u ns, wi h a sligh unde pe o mance.
These esul s demons a e a ade-o be ween obus
model es ima ion and complex model a chi ec u e o cap-
u e sec o -speci ic nonlinea i ies and a iable in e ac ions.
A simple linea eg ession model such as OLS equi es only
a single pa ame e o each o he 212 signals. The pa-
ame e s o he op imiza ion p oblem a e de i ed om a
closed- o m solu ion. The e o e, OLS models bene i om
a highe a io o obse a ions o pa ame e s and mo e s a-
ble model pa ame e s. Thei ob ious disad an age is he
inabili y o cap u e non-linea i ies and a iable in e ac ions.
The numbe o es ima ed coe icien s in each o my neu al
ne wo k models is 7,489. These numbe s esul in a low
obse a ions- o-pa ame e a io on small da a se s, such as
he indi idual sec o samples, especially a he beginning
o my sampling pe iod when he aining samples a e he
smalles . In low signal- o-noise p oblems like s ock e u n
p edic ion, complex machine lea ning models such as neu al
ne wo ks end o o e i noise a he han ex ac signals.
The NN3 sec o models canno exploi hei ad an age o
being able o cap u e complex sec o -speci ic ela ionships
be ween signals and u u e e u ns. This can lead o he
poo p edic i e pe o mance o neu al ne wo ks o small
sec o s and low po olio e u ns in he i s hal o he ou -
o -sample pe iod. The pooling o da a ac oss sec o s o he
global model imp o es he a io o obse a ions o pa am-
e e s. This explains why i does no su e om he same
p oblems as he sec o al models. The global neu al ne wo k
is s ill able o cap u e nonlinea i ies and a iable in e ac ions
ac oss sec o s and hus signi ican ly ou pe o ms OLS mod-
els in he ull sample, in line wi h p e ious esea ch (e.g.,
Aze edo and Hoegne (2023), Bli z e al. (2023), and Gu
e al. (2020)).
Table A3 in he Appendix summa izes he ou -o -sample
s a is ics o he alue-weigh ed long-sho po olios o med
om di e en sec o -speci ic OLS model e u n p edic ions.
5.5. Sec o alloca ion as a e u n d i e
The global neu al ne wo k demons a es some ou -o -
sample sec o alloca ion powe . In he c oss-sec ion o sec-
o s, i co ec ly p edic s highe ela i e e u ns o he mos
p o i able sec o s and lowe e u ns o he leas p o i able
sec o s. This allows he global model o gene a e highe e-
u ns in he long ( op decile) po olio when po olio so ing
is no sec o -neu al.
As seen in Table 4, sec o -neu al po olio so s wo sen
he p o i abili y o long-sho po olios so ed on he ou -o -
sample e u n o ecas s o he global neu al ne wo k. To be -
e unde s and his di e ence in pe o mance, I b ie ly e alu-
a e he global neu al ne wo k’s po en ial ou -o -sample sec o
alloca ion powe . Table 6summa izes my esul s. Fo each
o he en GICS sec o s, Panel A epo s he a e age alue-
weigh ed ealized mon hly ela i e e u n compa ed o he
a e age p edic ed e u n om he global model. In addi ion,
I epo he a e age mon hly alloca ion o he espec i e sec-
o in he op decile po olio so ed based on o ecas s om
he global model. I ocus on he long po olio, he s onge
d i e o he global model’s p o i abili y han he sho po o-
lio. Panel B plo s he cumula i e alue-weigh ed ela i e log
e u ns pe sec o o e he ou -o -sample pe iod om Jan-
ua y 1994 o Decembe 2022.
In o ma ion Technology ( ech) is he bes -pe o ming sec-
o o e he en i e ou -o -sample pe iod, wi h a mon hly el-
a i e e u n o 0.23%. Heal h Ca e (heal h) ollows in sec-
ond place wi h a e u n o 0.09%, and Ene gy (ene gy) is in
hi d place wi h a e u n o 0.01%, hanks o solid gains a -
e 2020. All o he sec o s gene a e nega i e alue-weigh ed
ela i e e u ns ou -o -sample.5The wo s -pe o ming sec-
o s a e U ili ies (u ili ies), wi h an a e age mon hly e u n o
-0.24%, and Communica ion Se ices (comm), wi h a e u n
o -0.35%. Apa om In o ma ion Technology, he global
model’s e u n p edic ions a e no e y close o he ealized
e u ns, and hey o e s a e expec ed e u ns. S ill, i pe -
o ms ela i ely well in c oss-sec ionally classi ying he sec-
o s in o he co ec ex emes. The global model co ec ly
iden i ies he wo bes -pe o ming sec o s and p edic s U il-
i ies and Communica ion Se ices o be among he h ee
wo s -pe o ming sec o s.
As a esul , he global model shows some (limi ed) ou -
o -sample sec o alloca ion powe . The long po olio based
on global neu al ne wo k o ecas s has high a e age alloca-
ions o In o ma ion Technology (22.93%) and Heal h Ca e
(15.09%). I has an a e age alloca ion o less han 5% o
each o he h ee wo s -pe o ming sec o s: Ma e ials, U il-
i ies, and Communica ion Se ices. The global model gen-
e a es highe e u ns han sec o -neu al po olios by o e -
weigh ing mo e p o i able sec o s and unde weigh ing less
p o i able sec o s in he op decile po olio.
6. Conclusion
I examine he di e ence in p edic i e powe o he c oss-
sec ion o US s ock e u ns be ween a global machine lea n-
ing model and sec o -speci ic models. Based on hei s ong
pe o mance in p e ious esea ch, I use neu al ne wo ks as
he machine lea ning models. The global neu al ne wo k is
ained on he ull sample o s ocks, while he sec o neu-
al ne wo ks a e ained on en di e en GICS sec o s. The
global model consis en ly ou pe o ms he sec o models ou -
o -sample in e ms o p edic i e accu acy and p o i abili y. I
5Equally-weigh ed esul s (no epo ed) show ha almos all sec o s ha e
posi i e ela i e e u ns. On a e age, s ocks wi h smalle ma ke capi al-
iza ion gene a e highe ela i e e u ns. This u he demons a es he
s ong pe o mance o he Size ac o in he sample and jus i ies he high
a iable impo ance o Size in he global neu al ne wo k.
J. Wi e /Junio Managemen Science 10(3) (2025) 561-581580
Table 6: Sec o alloca ion powe o global neu al ne wo k model
This able summa izes pa s o he ou -o -sample sec o alloca ion powe o he global neu al ne wo k model. Panel A compa es he a e age mon hly
ealized ela i e e u ns (wi h he ma ke componen emo ed) pe sec o o he a e age mon hly p edic ed ela i e e u ns om he global model o e he
ou -o -sample pe iod. The sec o s in Panel A a e anked in descending o de o ealized e u ns. Panel A addi ionally epo s he a e age mon hly alloca ion
o each sec o o he long ( op decile) po olio so ed based on he global model’s e u n p edic ions o he nex mon h. Panel B plo s he cumula i e
ela i e log e u ns pe sec o o e he ou -o -sample pe iod. All e u ns a e alue-weigh ed. The ou -o -sample pe iod uns om Janua y 1994 o Decembe
2022. The sample consis s o US CRSP s ocks, excluding mic ocap s ocks wi h a ma ke capi aliza ion smalle han he 20 h pe cen ile o s ocks lis ed on he
NYSE.
Panel A: Pe cen age e u ns and long po olio alloca ion
Sec o Realized e u ns P edic ed e u ns Long po olio alloca ion
In o ma ion Technology 0.23 0.26 22.93
Heal h Ca e 0.09 0.17 15.09
Ene gy 0.01 0.06 7.21
Consume Disc e iona y -0.10 0.14 14.52
Consume S aples -0.11 -0.03 3.74
Indus ials -0.11 0.12 11.54
Financials -0.13 0.14 12.96
Ma e ials -0.16 0.11 4.50
U ili ies -0.24 -0.02 3.96
Communica ion Se ices -0.35 0.05 4.36
Panel B: Cumula i e ela i e log e u ns pe sec o
de i es mos o i s p edic i e powe om Size as an inpu
signal. A long-sho po olio based on he so ed p edic-
ions o he global model gene a es signi ican e u ns and
Sha pe a ios o e he en i e ou -o -sample pe iod. The sec-
o models gene a e nega i e ou -o -sample R2
OOS and hei
long-sho po olio e u ns a e lowe , especially in he ea ly
ou -o -sample pe iod. Complex models such as non-linea
neu al ne wo ks s uggle o exploi hei ad an ages on small
sec o -speci ic samples and unde pe o m simple OLS mod-
els. The esul s o he global model suppo he ecen li e -
a u e on he s ong p edic i e powe o neu al ne wo ks o
he c oss-sec ion o s ock e u ns.
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