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Bayesian Neural Networks for Financial Asset Forecasting
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematical Statistics.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematical Statistics.
2019 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesisAlternative title
Bayesianska neurala nätverk för prediktion av finansiella tillgångar (Swedish)
Abstract [en]

Neural networks are powerful tools for modelling complex non-linear mappings, but they often suffer from overfitting and provide no measures of uncertainty in their predictions. Bayesian techniques are proposed as a remedy to these problems, as these both regularize and provide an inherent measure of uncertainty from their posterior predictive distributions. By quantifying predictive uncertainty, we attempt to improve a systematic trading strategy by scaling positions with uncertainty. Exact Bayesian inference is often impossible, and approximate techniques must be used. For this task, this thesis compares dropout, variational inference and Markov chain Monte Carlo. We find that dropout and variational inference provide powerful regularization techniques, but their predictive uncertainties cannot improve a systematic trading strategy. Markov chain Monte Carlo provides powerful regularization as well as promising estimates of predictive uncertainty that are able to improve a systematic trading strategy. However, Markov chain Monte Carlo suffers from an extreme computational cost in the high-dimensional setting of neural networks.

Abstract [sv]

Neurala nätverk är kraftfulla verktyg för att modellera komplexa icke-linjära avbildningar, men de lider ofta av överanpassning och tillhandahåller inga mått på osäkerhet i deras prediktioner. Bayesianska tekniker har föreslagits för att råda bot på dessa problem, eftersom att de både har en regulariserande effekt, samt har ett inneboende mått på osäkerhet genom den prediktiva posteriora fördelningen. Genom att kvantifiera prediktiv osäkerhet försöker vi förbättra en systematisk tradingstrategi genom att skala modellens positioner med den skattade osäkerheten. Exakt Bayesiansk inferens är oftast omöjligt, och approximativa metoder måste användas. För detta ändamål jämför detta examensarbete dropout, variational inference och Markov chain Monte Carlo. Resultaten indikerar att både dropout och variational inference är kraftfulla regulariseringstekniker, men att deras prediktiva osäkerheter inte kan användas för att förbättra en systematisk tradingstrategi. Markov chain Monte Carlo ger en kraftfull regulariserande effekt, samt lovande skattningar av osäkerhet som kan användas för att förbättra en systematisk tradingstrategi. Dock lider Markov chain Monte Carlo av en enorm beräkningsmässig komplexitet i ett så högdimensionellt problem som neurala nätverk.

Place, publisher, year, edition, pages
2019.
Series
TRITA-SCI-GRU ; 2019:095
Keywords [en]
Bayesian neural networks, variational inference, Markov chain Monte Carlo, dropout, systematic trading, futures contracts
Keywords [sv]
Bayesianska neurala nätverk, variational inference, Markov chain Monte Carlo, dropout, systematisk trading, terminskontrakt
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:kth:diva-252562OAI: oai:DiVA.org:kth-252562DiVA, id: diva2:1320142
External cooperation
Lynx Asset Management
Subject / course
Financial Mathematics
Supervisors
Examiners
Available from: 2019-06-04 Created: 2019-06-04 Last updated: 2019-06-04Bibliographically approved

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