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We propose a method for variable selection in multiple regression with random predictors. This method is based on a criterion that permits to reduce the variable selection problem to a problem of estimating suitable permutation and…

Statistics Theory · Mathematics 2015-06-29 Alban Mbina Mbina , Guy Martial Nkiet , Assi Nguessan

Considering the case where the response variable is a categorical variable and the predictor is a random function, two novel functional sufficient dimensional reduction (FSDR) methods are proposed based on mutual information and square loss…

Machine Learning · Statistics 2024-02-28 Xinyu Li , Jianjun Xu , Wenquan Cui , Haoyang Cheng

Advances in machine learning technologies have led to increasingly powerful models in particular in the context of big data. Yet, many application scenarios demand for robustly interpretable models rather than optimum model accuracy; as an…

Machine Learning · Computer Science 2020-05-07 Lukas Pfannschmidt , Jonathan Jakob , Fabian Hinder , Michael Biehl , Peter Tino , Barbara Hammer

The problem of relevant and diverse subset selection has a wide range of applications, including recommender systems and retrieval-augmented generation (RAG). For example, in recommender systems, one is interested in selecting relevant…

Machine Learning · Computer Science 2026-03-10 Vu Nguyen , Andrey Kan

We propose a new sufficient dimension reduction approach designed deliberately for high-dimensional classification. This novel method is named maximal mean variance (MMV), inspired by the mean variance index first proposed by Cui, Li and…

Methodology · Statistics 2018-12-11 Xin Chen , Jingjing Wu , Zhigang Yao , Jia Zhang

This paper explores the critical domain of Revenue Management (RM) within Operations Research (OR), focusing on intricate pricing dynamics. Utilizing Mixed Integer Linear Programming (MILP) models, the study enhances revenue optimization by…

Optimization and Control · Mathematics 2024-04-08 Amirreza Talebi , Sayed Pedram Haeri Boroujeni , Abolfazl Razi

The integration of reinforcement learning (RL) into large language models (LLMs) has opened new opportunities for recommender systems by eliciting reasoning and improving user preference modeling. However, RL-based LLM recommendation faces…

Information Retrieval · Computer Science 2026-02-05 Lin Wang , Yang Zhang , Jingfan Chen , Xiaoyan Zhao , Fengbin Zhu , Qing Li , Tat-Seng Chua

Latent variable models represent a useful tool for the analysis of complex data when the constructs of interest are not observable. A problem related to these models is that the integrals involved in the likelihood function cannot be solved…

Methodology · Statistics 2015-03-05 Silvia Bianconcini , Silvia Cagnone , Dimitris Rizopoulos

Subsampling is a widely used and effective approach for addressing the computational challenges posed by massive datasets. Substantial progress has been made in developing non-uniform, probability-based subsampling schemes that prioritize…

Methodology · Statistics 2026-05-07 Dingyi Wang , Haiying Wang , Qingpei Hu

Variable selection in high-dimensional scenarios is of great interested in statistics. One application involves identifying differentially expressed genes in genomic analysis. Existing methods for addressing this problem have some limits or…

Methodology · Statistics 2018-06-19 Liuhua Peng , Long Qu , Dan Nettleton

From a machine learning point of view, identifying a subset of relevant features from a real data set can be useful to improve the results achieved by classification methods and to reduce their time and space complexity. To achieve this…

Machine Learning · Computer Science 2017-05-23 Pietro Cassara , Alessandro Rozza , Mirco Nanni

Distributional Random Forest (DRF) is a flexible forest-based method to estimate the full conditional distribution of a multivariate output of interest given input variables. In this article, we introduce a variable importance algorithm for…

Machine Learning · Statistics 2024-02-15 Clément Bénard , Jeffrey Näf , Julie Josse

Multi-view multi-label data offers richer perspectives for artificial intelligence, but simultaneously presents significant challenges for feature selection due to the inherent complexity of interrelations among features, views and labels.…

Machine Learning · Computer Science 2025-11-18 Yuzhou Liu , Jiarui Liu , Wanfu Gao

This paper proposes Relational Similarity Machines (RSM): a fast, accurate, and flexible relational learning framework for supervised and semi-supervised learning tasks. Despite the importance of relational learning, most existing methods…

Machine Learning · Statistics 2016-08-03 Ryan A. Rossi , Rong Zhou , Nesreen K. Ahmed

In this paper we propose a new methodology to represent the results of the robust ordinal regression approach by means of a family of representative value functions for which, taken two alternatives $a$ and $b$, the following two conditions…

Optimization and Control · Mathematics 2021-07-19 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

Given data on the choices made by consumers for different offer sets, a key challenge is to develop parsimonious models that describe and predict consumer choice behavior while being amenable to prescriptive tasks such as pricing and…

Machine Learning · Statistics 2025-04-15 Yanqiu Ruan , Xiaobo Li , Karthyek Murthy , Karthik Natarajan

The paper considers variable selection in linear regression models where the number of covariates is possibly much larger than the number of observations. High dimensionality of the data brings in many complications, such as (possibly…

Methodology · Statistics 2016-11-29 Haeran Cho , Piotr Fryzlewicz

Providing recommendations that are both relevant and diverse is a key consideration of modern recommender systems. Optimizing both of these measures presents a fundamental trade-off, as higher diversity typically comes at the cost of…

Information Retrieval · Computer Science 2024-08-08 Erica Coppolillo , Giuseppe Manco , Aristides Gionis

Extracting a small subset of representative tuples from a large database is an important task in multi-criteria decision making. The regret-minimizing set (RMS) problem is recently proposed for representative discovery from databases.…

Data Structures and Algorithms · Computer Science 2020-07-21 Yanhao Wang , Michael Mathioudakis , Yuchen Li , Kian-Lee Tan

This paper proposes a new univariate filter feature selection (FFS) algorithm called KGroups. The majority of work in the literature focuses on investigating the relevance or redundancy estimations of feature selection (FS) methods. This…

Machine Learning · Computer Science 2026-03-31 Malick Ebiele , Malika Bendechache , Rob Brennan