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Independence screening is a powerful method for variable selection for `Big Data' when the number of variables is massive. Commonly used independence screening methods are based on marginal correlations or variations of it. In many…

Statistics Theory · Mathematics 2012-11-02 Emre Barut , Jianqing Fan , Anneleen Verhasselt

Supervised fine-tuning (SFT) is a pivotal approach to adapting large language models (LLMs) for downstream tasks; however, performance often suffers from the ``seesaw phenomenon'', where indiscriminate parameter updates yield progress on…

Computation and Language · Computer Science 2025-09-22 Yao Wang , Di Liang , Minlong Peng

Recent discussion of the success of feature selection methods has argued that focusing on a relatively small number of features has been counterproductive. Instead, it is suggested, the number of significant features can be in the thousands…

Statistics Theory · Mathematics 2014-07-10 Peter Hall , Jiashun Jin , Hugh Miller

Interpretability and stability are two important features that are desired in many contemporary big data applications arising in economics and finance. While the former is enjoyed to some extent by many existing forecasting approaches, the…

Statistics Theory · Mathematics 2018-09-14 Yingying Fan , Jinchi Lv , Mahrad Sharifvaghefi , Yoshimasa Uematsu

Machine learning predictions are increasingly used to supplement incomplete or costly-to-measure outcomes in fields such as biomedical research, environmental science, and social science. However, treating predictions as ground truth…

Machine Learning · Statistics 2026-01-29 Yilin Song , Dan M. Kluger , Harsh Parikh , Tian Gu

Given an imperfect predictor, we exploit additional features at test time to improve the predictions made, without retraining and without knowledge of the prediction function. This scenario arises if training labels or data are proprietary,…

Machine Learning · Computer Science 2021-11-05 Kwang In Kim , James Tompkin

In this paper we study the problem of estimating the alpha-, beta- and phi-mixing coefficients between two random variables, that can either assume values in a finite set or the set of real numbers. In either case, explicit closed-form…

Computation · Statistics 2013-07-04 Mehmet Eren Ahsen , Mathukumalli Vidyasagar

The covariance matrix is a foundation in numerous statistical and machine-learning applications such as Principle Component Analysis, Correlation Heatmap, etc. However, missing values within datasets present a formidable obstacle to…

Machine Learning · Statistics 2025-01-22 Tuan L. Vo , Quan Huu Do , Uyen Dang , Thu Nguyen , Pål Halvorsen , Michael A. Riegler , Binh T. Nguyen

The knockoff filter of Barber and Candes (arXiv:1404.5609) is a flexible framework for multiple testing in supervised learning models, based on introducing synthetic predictor variables to control the false discovery rate (FDR). Using the…

Methodology · Statistics 2024-11-26 Yixiang Luo , William Fithian , Lihua Lei

A central goal of probabilistic programming languages (PPLs) is to separate modelling from inference. However, this goal is hard to achieve in practice. Users are often forced to re-write their models in order to improve efficiency of…

Programming Languages · Computer Science 2022-02-21 Maria I. Gorinova , Andrew D. Gordon , Charles Sutton , Matthijs Vákár

Competing risks data arise frequently in clinical trials. When the proportional subdistribution hazard assumption is violated or two cumulative incidence function (CIF) curves cross, rather than comparing the overall treatment effects,…

Applications · Statistics 2021-06-22 Jinbao Chen , Yawen Hou , Zheng Chen

Feature selection is a classical problem in statistics and machine learning, and it continues to remain an extremely challenging problem especially in the context of unknown non-linear relationships with dependent features. On the other…

Machine Learning · Statistics 2026-04-17 Chenghui Zheng , Garvesh Raskutti

Fields like public health, public policy, and social science often want to quantify the degree of dependence between variables whose relationships take on unknown functional forms. Typically, in fact, researchers in these fields are…

Statistics Theory · Mathematics 2019-12-10 Octavio César Mesner , Cosma Rohilla Shalizi

Although there is growing interest in measuring integrated information in computational and cognitive systems, current methods for doing so in practice are computationally unfeasible. Existing and novel integration measures are investigated…

Neurons and Cognition · Quantitative Biology 2017-02-08 Max Tegmark

Testing multiple hypotheses of conditional independence with provable error rate control is a fundamental problem with various applications. To infer conditional independence with family-wise error rate (FWER) control when only summary…

Methodology · Statistics 2023-10-17 Catherine Xinrui Yu , Jiaqi Gu , Zhaomeng Chen , Zihuai He

We develop a simple and computationally efficient significance test for the features of a machine learning model. Our forward-selection approach applies to any model specification, learning task and variable type. The test is…

Machine Learning · Statistics 2019-10-15 Enguerrand Horel , Kay Giesecke

Compositional data (i.e., data comprising random variables that sum up to a constant) arises in many applications including microbiome studies, chemical ecology, political science, and experimental designs. Yet when compositional data serve…

Methodology · Statistics 2025-01-03 Ritwik Bhaduri , Siyuan Ma , Lucas Janson

Science and technology have a growing need for effective mechanisms that ensure reliable, controlled performance from black-box machine learning algorithms. These performance guarantees should ideally hold conditionally on the input-that is…

Machine Learning · Computer Science 2025-03-28 Vincent Blot , Anastasios N Angelopoulos , Michael I Jordan , Nicolas J-B Brunel

Machine learning is central to modern science, industry, and policy, yet its predictive power often comes at the cost of transparency: we rarely know which input features truly drive a model's predictions. Without such understanding,…

Machine Learning · Statistics 2026-04-03 Kay Giesecke , Enguerrand Horel , Chartsiri Jirachotkulthorn

A data analysis pipeline is a structured sequence of steps that transforms raw data into meaningful insights by integrating various analysis algorithms. In this paper, we propose a novel statistical test to assess the significance of data…

Machine Learning · Statistics 2024-10-15 Tomohiro Shiraishi , Tatsuya Matsukawa , Shuichi Nishino , Ichiro Takeuchi