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Linear regression is a widely used technique to fit linear models and finds widespread applications across different areas such as machine learning and statistics. In most real-world scenarios, however, linear regression problems are often…

Quantum Physics · Physics 2023-05-02 Shantanav Chakraborty , Aditya Morolia , Anurudh Peduri

Text and time series data offer complementary views of financial markets: news articles provide narrative context about company events, while stock prices reflect how markets react to those events. However, despite their complementary…

Computational Engineering, Finance, and Science · Computer Science 2025-09-25 Ross Koval , Nicholas Andrews , Xifeng Yan

We move beyond "Is Machine Learning Useful for Macroeconomic Forecasting?" by adding the "how". The current forecasting literature has focused on matching specific variables and horizons with a particularly successful algorithm. In…

The crossed random effects model is widely used, finding applications in various fields such as longitudinal studies, e-commerce, and recommender systems, among others. However, these models encounter scalability challenges, as the…

Methodology · Statistics 2025-10-21 Disha Ghandwani , Swarnadip Ghosh , Trevor Hastie , Art B. Owen

Foundation models have become a dominant paradigm in machine learning, achieving remarkable performance across diverse tasks through large-scale pretraining. However, these models often yield overconfident, uncalibrated predictions. The…

Machine Learning · Computer Science 2026-01-30 Mehmet Ozgur Turkoglu , Dominik J. Mühlematter , Alexander Becker , Konrad Schindler , Helge Aasen

Analyzing large samples of high-dimensional data under dependence is a challenging statistical problem as long time series may have change points, most importantly in the mean and the marginal covariances, for which one needs valid tests.…

Methodology · Statistics 2022-11-07 Fabian Mies , Ansgar Steland

Combining multi-site data can strengthen and uncover trends, but is a task that is marred by the influence of site-specific covariates that can bias the data and therefore any downstream analyses. Post-hoc multi-site correction methods…

Image and Video Processing · Electrical Eng. & Systems 2021-11-09 Pedro Borges , Richard Shaw , Thomas Varsavsky , Kerstin Klaser , David Thomas , Ivana Drobnjak , Sebastien Ourselin , M Jorge Cardoso

Scale invariance, collective behaviours and structural reorganization are crucial for portfolio management (portfolio composition, hedging, alternative definition of risk, etc.). This lack of any characteristic scale and such elaborated…

Statistical Finance · Quantitative Finance 2014-03-24 Thomas Bury

Maximum-type statistics of certain functions of the sample covariance matrix of high-dimensional vector time series are studied to statistically confirm or reject the null hypothesis that a data set has been collected under normal…

Statistics Theory · Mathematics 2023-10-13 Ansgar Steland

We introduce Spatio-Temporal Momentum strategies, a class of models that unify both time-series and cross-sectional momentum strategies by trading assets based on their cross-sectional momentum features over time. While both time-series and…

Portfolio Management · Quantitative Finance 2023-12-08 Wee Ling Tan , Stephen Roberts , Stefan Zohren

We propose a novel variational Bayes approach to estimate high-dimensional vector autoregression (VAR) models with hierarchical shrinkage priors. Our approach does not rely on a conventional structural VAR representation of the parameter…

Econometrics · Economics 2023-07-03 Mauro Bernardi , Daniele Bianchi , Nicolas Bianco

It is well known that modeling and forecasting realized covariance matrices of asset returns play a crucial role in the field of finance. The availability of high frequency intraday data enables the modeling of the realized covariance…

Computational Engineering, Finance, and Science · Computer Science 2021-07-23 Yanwen Fang , Philip L. H. Yu , Yaohua Tang

Matrix learning is at the core of many machine learning problems. A number of real-world applications such as collaborative filtering and text mining can be formulated as a low-rank matrix completion problem, which recovers incomplete…

Machine Learning · Computer Science 2021-02-23 Yaqing Wang , Quanming Yao , James T. Kwok

To predict the future movements of stock markets, numerous studies concentrate on daily data and employ various machine learning (ML) models as benchmarks that often vary and lack standardization across different research works. This paper…

Computational Finance · Quantitative Finance 2024-07-16 Han Gui

We present a parsimonious neural network approach, which does not rely on dynamic programming techniques, to solve dynamic portfolio optimization problems subject to multiple investment constraints. The number of parameters of the…

Computational Finance · Quantitative Finance 2023-03-17 Pieter M. van Staden , Peter A. Forsyth , Yuying Li

Standard supervised learning breaks down under data distribution shift. However, the principle of independent causal mechanisms (ICM, Peters et al. (2017)) can turn this weakness into an opportunity: one can take advantage of distribution…

Machine Learning · Computer Science 2021-02-09 Jens Müller , Robert Schmier , Lynton Ardizzone , Carsten Rother , Ullrich Köthe

We study the estimation of the high-dimensional covariance matrix andits eigenvalues under dynamic volatility models. Data under such modelshave nonlinear dependency both cross-sectionally and temporally. We firstinvestigate the empirical…

Statistics Theory · Mathematics 2022-11-22 Yi Ding , Xinghua Zheng

Metric regularity is among the central concepts of nonlinear and variational analysis, constrained optimization, and their numerous applications. However, metric regularity can be elusive for some important ill-posed classes of problems…

Optimization and Control · Mathematics 2025-03-30 Mario Jelitte , Boris S. Mordukhovich

Recent literature provides many computational and modeling approaches for covariance matrices estimation in a penalized Gaussian graphical models but relatively little study has been carried out on the choice of the tuning parameter. This…

Methodology · Statistics 2009-09-08 Heng Lian

In this paper, we consider the problem of determining the presence of a given signal in a high-dimensional observation with unknown covariance matrix by using an adaptive matched filter. Traditionally such filters are formed from the sample…

Statistics Theory · Mathematics 2021-12-06 Benjamin D. Robinson , Robert Malinas , Alfred O. Hero