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Deep learning searches for nonlinear factors for predicting asset returns. Predictability is achieved via multiple layers of composite factors as opposed to additive ones. Viewed in this way, asset pricing studies can be revisited using…

Machine Learning · Statistics 2018-04-27 Guanhao Feng , Jingyu He , Nicholas G. Polson

This paper presents an augmented deep factor model that generates latent factors for cross-sectional asset pricing. The conventional security sorting on firm characteristics for constructing long-short factor portfolio weights is nonlinear…

Methodology · Statistics 2024-12-11 Guanhao Feng , Jingyu He , Nicholas G. Polson , Jianeng Xu

High dimensional data reduction techniques are provided by using partial least squares within deep learning. Our framework provides a nonlinear extension of PLS together with a disciplined approach to feature selection and architecture…

Methodology · Statistics 2021-06-29 Nicholas Polson , Vadim Sokolov , Jianeng Xu

The residuals in factor models prevalent in asset pricing presents opportunities to exploit the mis-pricing from unexplained cross-sectional variation for arbitrage. We performed a replication of the methodology of Guijarro-Ordonez et al.…

Statistical Finance · Quantitative Finance 2025-01-06 Wo Long , Victor Xiao

Deep fundamental factor models are developed to automatically capture non-linearity and interaction effects in factor modeling. Uncertainty quantification provides interpretability with interval estimation, ranking of factor importances and…

Machine Learning · Statistics 2020-08-28 Matthew F. Dixon , Nicholas G. Polson

Partial Least Squares (PLS) is a widely used method for data integration, designed to extract latent components shared across paired high-dimensional datasets. Despite decades of practical success, a precise theoretical understanding of its…

Machine Learning · Statistics 2025-12-18 Victor Léger , Florent Chatelain

In this paper, we propose deep partial least squares for the estimation of high-dimensional nonlinear instrumental variable regression. As a precursor to a flexible deep neural network architecture, our methodology uses partial least…

Methodology · Statistics 2023-06-06 Maria Nareklishvili , Nicholas Polson , Vadim Sokolov

In this study, MLP models with dynamic structure are applied to factor models for asset pricing tasks. Concretely, the MLP pyramid model structure was employed on firm-characteristic-sorted portfolio factors for modelling the large-capital…

Pricing of Securities · Quantitative Finance 2025-05-07 Shanyan Lai

This paper investigates some theoretical properties of the Partial Least Square (PLS) method. We focus our attention on the single component case, that provides a useful framework to understand the underlying mechanism. We provide a…

Statistics Theory · Mathematics 2023-10-17 Luca Castelli , Clément Marteau , Irène Gannaz

This paper introduces a consistent estimator and rate of convergence for the precision matrix of asset returns in large portfolios using a non-linear factor model within the deep learning framework. Our estimator remains valid even in low…

Machine Learning · Statistics 2023-08-30 Mehmet Caner , Maurizio Daniele

The matrix factor model has drawn growing attention for its advantage in achieving two-directional dimension reduction simultaneously for matrix-structured observations. In this paper, we propose a simple iterative least squares algorithm…

Methodology · Statistics 2023-08-02 Yong He , Ran Zhao , Wen-Xin Zhou

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

This study proposes a behaviorally-informed multi-factor stock selection framework that integrates short-cycle technical alpha signals with deep learning. We design a dual-task multilayer perceptron (MLP) that jointly predicts five-day…

Trading and Market Microstructure · Quantitative Finance 2025-08-21 Yuqi Luan

It is shown that the computational efficiency of the discrete least-squares (DLS) approximation of solutions of stochastic elliptic PDEs is improved by incorporating a reduced-basis method into the DLS framework. The goal is to recover the…

Numerical Analysis · Mathematics 2017-11-09 Max Gunzburger , Michael Schneier , Clayton Webster , Guannan Zhang

A linear multi-factor model is one of the most important tools in equity portfolio management. The linear multi-factor models are widely used because they can be easily interpreted. However, financial markets are not linear and their…

Machine Learning · Computer Science 2019-02-01 Kei Nakagawa , Tomoki Ito , Masaya Abe , Kiyoshi Izumi

We develop novel estimation procedures with supporting econometric theory for a dynamic latent-factor model with high-dimensional asset characteristics, that is, the number of characteristics is on the order of the sample size. Utilizing…

Econometrics · Economics 2024-05-27 Adam Baybutt

We use deep neural networks to estimate an asset pricing model for individual stock returns that takes advantage of the vast amount of conditioning information, while keeping a fully flexible form and accounting for time-variation. The key…

Statistical Finance · Quantitative Finance 2021-08-12 Luyang Chen , Markus Pelger , Jason Zhu

This paper studies an unsupervised deep learning-based numerical approach for solving partial differential equations (PDEs). The approach makes use of the deep neural network to approximate solutions of PDEs through the compositional…

Machine Learning · Computer Science 2020-08-26 Zhiqiang Cai , Jingshuang Chen , Min Liu , Xinyu Liu

Recursive least squares (RLS) algorithms were once widely used for training small-scale neural networks, due to their fast convergence. However, previous RLS algorithms are unsuitable for training deep neural networks (DNNs), since they…

Machine Learning · Computer Science 2021-09-08 Chunyuan Zhang , Qi Song , Hui Zhou , Yigui Ou , Hongyao Deng , Laurence Tianruo Yang

Partial Least Square (PLS) is a dimension reduction method used to remove multicollinearities in a regression model. However contrary to Principal Components Analysis (PCA) the PLS components are also choosen to be optimal for predicting…

Statistics Theory · Mathematics 2014-05-26 Mélanie Blazère , Fabrice Gamboa , Jean-Michel Loubes
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