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In this paper, we introduce a novel high-dimensional Factor-Adjusted sparse Partially Linear regression Model (FAPLM), to integrate the linear effects of high-dimensional latent factors with the nonparametric effects of low-dimensional…

Methodology · Statistics 2025-01-14 Yanmei Shi , Meiling Hao , Yanlin Tang , Xu Guo

Matrix factorization techniques have been widely used as a method for collaborative filtering for recommender systems. In recent times, different variants of deep learning algorithms have been explored in this setting to improve the task of…

Machine Learning · Computer Science 2019-03-26 Vaibhav Krishna , Tian Guo , Nino Antulov-Fantulin

The linear regression (LR) method offers the advantage that optimal parameters can be calculated relatively easily, although its representation capability is limited than that of the deep learning technique. To improve deep reinforcement…

Machine Learning · Computer Science 2025-04-28 Hisato Komatsu

Differential equations offer a foundational yet powerful framework for modeling interactions within complex dynamic systems and are widely applied across numerous scientific fields. One common challenge in this area is estimating the…

Machine Learning · Computer Science 2024-11-14 Wenkui Sun , Xiaoya Fan , Lijuan Jia , Tinyi Chu , Shing-Tung Yau , Rongling Wu , Zhong Wang

There are inefficiencies in financial markets, with unexploited patterns in price, volume, and cross-sectional relationships. While many approaches use large-scale transformers, we take a domain-focused path: feed-forward and recurrent…

Portfolio Management · Quantitative Finance 2025-10-15 Sid Ghatak , Arman Khaledian , Navid Parvini , Nariman Khaledian

The cumulant analysis plays an important role in non Gaussian distributed data analysis. The shares' prices returns are good example of such data. The purpose of this research is to develop the cumulant based algorithm and use it to…

Portfolio Management · Quantitative Finance 2016-11-23 Krzysztof Domino

Partial least squares (PLS) is a dimensionality reduction technique used as an alternative to ordinary least squares (OLS) in situations where the data is colinear or high dimensional. Both PLS and OLS provide mean based estimates, which…

Methodology · Statistics 2021-10-18 Alvaro Mendez Civieta , M. Carmen Aguilera-Morillo , Rosa E. Lillo

We introduce a novel semi-supervised version of the least squares classifier. This implicitly constrained least squares (ICLS) classifier minimizes the squared loss on the labeled data among the set of parameters implied by all possible…

Machine Learning · Statistics 2015-07-27 Jesse H. Krijthe , Marco Loog

We present a large scale benchmark of modern deep learning architectures for a financial time series prediction and position sizing task, with a primary focus on Sharpe ratio optimization. Evaluating linear models, recurrent networks,…

Trading and Market Microstructure · Quantitative Finance 2026-03-03 Adir Saly-Kaufmann , Kieran Wood , Jan Peter-Calliess , Stefan Zohren

We introduce the implicitly constrained least squares (ICLS) classifier, a novel semi-supervised version of the least squares classifier. This classifier minimizes the squared loss on the labeled data among the set of parameters implied by…

Machine Learning · Statistics 2017-01-31 Jesse H. Krijthe , Marco Loog

This work focuses on dimension-reduction techniques for modelling conditional extreme values. Specifically, we investigate the idea that extreme values of a response variable can be explained by nonlinear functions derived from linear…

Methodology · Statistics 2024-05-27 Julyan Arbel , Stéphane Girard , Hadrien Lorenzo

In this paper we propose a computationally efficient algorithm for on-line variable selection in multivariate regression problems involving high dimensional data streams. The algorithm recursively extracts all the latent factors of a…

Machine Learning · Statistics 2009-02-10 Brian McWilliams , Giovanni Montana

We introduce a physics-driven deep latent variable model (PDDLVM) to learn simultaneously parameter-to-solution (forward) and solution-to-parameter (inverse) maps of parametric partial differential equations (PDEs). Our formulation…

Machine Learning · Statistics 2023-08-09 Arnaud Vadeboncoeur , Ömer Deniz Akyildiz , Ieva Kazlauskaite , Mark Girolami , Fehmi Cirak

Functional partial least squares (FPLS) is commonly used for fitting scalar-on-function regression models. For the sake of accuracy, FPLS demands that each realization of the functional predictor is recorded as densely as possible over the…

Methodology · Statistics 2020-07-14 Zhiyang Zhou , Richard A. Lockhart

Partial least squares, as a dimension reduction method, has become increasingly important for its ability to deal with problems with a large number of variables. Since noisy variables may weaken the performance of the model, the sparse…

Methodology · Statistics 2020-06-08 Weijuan Liang , Shuangge Ma , Qingzhao Zhang , Tingyu Zhu

We study differentially private stochastic optimization in convex and non-convex settings. For the convex case, we focus on the family of non-smooth generalized linear losses (GLLs). Our algorithm for the $\ell_2$ setting achieves optimal…

Machine Learning · Computer Science 2021-11-11 Raef Bassily , Cristóbal Guzmán , Michael Menart

Reinforcement learning (RL) has successfully automated the complex process of mining formulaic alpha factors, for creating interpretable and profitable investment strategies. However, existing methods are hampered by the sparse rewards…

Machine Learning · Computer Science 2025-07-29 Junjie Zhao , Chengxi Zhang , Chenkai Wang , Peng Yang

Time-series representation learning is a fundamental task for time-series analysis. While significant progress has been made to achieve accurate representations for downstream applications, the learned representations often lack…

Machine Learning · Computer Science 2021-05-24 Yuening Li , Zhengzhang Chen , Daochen Zha , Mengnan Du , Denghui Zhang , Haifeng Chen , Xia Hu

In this paper we propose a new approach to study the properties of the Partial Least Squares (PLS) estimator. This approach relies on the link between PLS and discrete orthogonal polynomials. Indeed many important PLS objects can be…

Statistics Theory · Mathematics 2014-11-04 Mélanie Blazère , Fabrice Gamboa , Jean-Michel Loubes

Motivated by the recent developments in artificial intelligence, we introduce linear quadratic deep structured teams in this paper. Two notions of equivariant and partially equivariant systems are defined, and it is shown that such systems…

Optimization and Control · Mathematics 2020-09-01 Jalal Arabneydi , Amir G. Aghdam
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