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Automated high-stake decision-making such as medical diagnosis requires models with high interpretability and reliability. As one of the interpretable and reliable models with good prediction ability, we consider Sparse High-order…

Machine Learning · Statistics 2021-06-10 Diptesh Das , Vo Nguyen Le Duy , Hiroyuki Hanada , Koji Tsuda , Ichiro Takeuchi

Detecting interaction effects among predictors on the response variable is a crucial step in various applications. In this paper, we first propose a simple method for sure screening interactions (SSI). Although its computation complexity is…

Methodology · Statistics 2020-12-16 Min Zhou , Mingwei Dai , Yuan Yao , Jin Liu , Can Yang , Heng Peng

Taking into account high-order interactions among covariates is valuable in many practical regression problems. This is, however, computationally challenging task because the number of high-order interaction features to be considered would…

Machine Learning · Statistics 2015-06-29 Kazuya Nakagawa , Shinya Suzumura , Masayuki Karasuyama , Koji Tsuda , Ichiro Takeuchi

Logistic Regression (LR) is a widely used statistical method in empirical binary classification studies. However, real-life scenarios oftentimes share complexities that prevent from the use of the as-is LR model, and instead highlight the…

Machine Learning · Computer Science 2024-05-15 Michela C. Massi , Nicola R. Franco , Francesca Ieva , Andrea Manzoni , Anna Maria Paganoni , Paolo Zunino

Finding interactions between variables in large and high-dimensional datasets is often a serious computational challenge. Most approaches build up interaction sets incrementally, adding variables in a greedy fashion. The drawback is that…

Machine Learning · Statistics 2016-04-27 Rajen Dinesh Shah , Nicolai Meinshausen

Protein interactions are important in a broad range of biological processes. Traditionally, computational methods have been developed to automatically predict protein interface from hand-crafted features. Recent approaches employ deep…

Machine Learning · Computer Science 2020-07-21 Yi Liu , Hao Yuan , Lei Cai , Shuiwang Ji

Detecting beneficial feature interactions is essential in recommender systems, and existing approaches achieve this by examining all the possible feature interactions. However, the cost of examining all the possible higher-order feature…

Information Retrieval · Computer Science 2022-06-29 Yixin Su , Yunxiang Zhao , Sarah Erfani , Junhao Gan , Rui Zhang

Understanding the contribution of individual features in predictive models remains a central goal in interpretable machine learning, and while many model-agnostic methods exist to estimate feature importance, they often fall short in…

Machine Learning · Computer Science 2025-07-08 Ivan Lazic , Chiara Barà , Marta Iovino , Sebastiano Stramaglia , Niksa Jakovljevic , Luca Faes

We propose a novel kernel based post selection inference (PSI) algorithm, which can not only handle non-linearity in data but also structured output such as multi-dimensional and multi-label outputs. Specifically, we develop a PSI algorithm…

Machine Learning · Statistics 2016-10-17 Makoto Yamada , Yuta Umezu , Kenji Fukumizu , Ichiro Takeuchi

An important problem in the field of bioinformatics is to identify interactive effects among profiled variables for outcome prediction. In this paper, a logistic regression model with pairwise interactions among a set of binary covariates…

Artificial Intelligence · Computer Science 2016-12-30 Easton Li Xu , Xiaoning Qian , Tie Liu , Shuguang Cui

The problem of interaction selection has recently caught much attention in high dimensional data analysis. This note aims to address and clarify several fundamental issues in interaction selection for linear regression models, especially…

Methodology · Statistics 2015-10-08 Ning Hao , Hao Helen Zhang

Computational protein-protein interaction (PPI) prediction techniques can contribute greatly in reducing time, cost and false-positive interactions compared to experimental approaches. Sequence is one of the key and primary information of…

Machine Learning · Computer Science 2022-03-29 Soumyadeep Debnath , Ayatullah Faruk Mollah

Predicting protein interactions is one of the more interesting challenges of the post-genomic era. Many algorithms address this problem as a binary classification problem: given two proteins represented as two vectors of features, predict…

Molecular Networks · Quantitative Biology 2011-11-01 Ossnat Bar-Shira , Gal Chechik

Detecting influential features in non-linear and/or high-dimensional data is a challenging and increasingly important task in machine learning. Variable selection methods have thus been gaining much attention as well as post-selection…

Statistics Theory · Mathematics 2021-06-18 Tobias Freidling , Benjamin Poignard , Héctor Climente-González , Makoto Yamada

We propose probabilistic Shapley inference (PSI), a novel probabilistic framework to model and infer sufficient statistics of feature attributions in flexible predictive models, via latent random variables whose mean recovers Shapley…

Machine Learning · Computer Science 2025-09-09 Mert Ketenci , Iñigo Urteaga , Victor Alfonso Rodriguez , Noémie Elhadad , Adler Perotte

Feature and Interaction Importance (FII) methods are essential in supervised learning for assessing the relevance of input variables and their interactions in complex prediction models. In many domains, such as personalized medicine, local…

Machine Learning · Statistics 2025-12-15 Kata Vuk , Nicolas Alexander Ihlo , Merle Behr

This paper is concerned with the problems of interaction screening and nonlinear classification in a high-dimensional setting. We propose a two-step procedure, IIS-SQDA, where in the first step an innovated interaction screening (IIS)…

Machine Learning · Statistics 2015-06-04 Yingying Fan , Yinfei Kong , Daoji Li , Zemin Zheng

Measuring divergence between two distributions is essential in machine learning and statistics and has various applications including binary classification, change point detection, and two-sample test. Furthermore, in the era of big data,…

In the current era of vast data and transparent machine learning, it is essential for techniques to operate at a large scale while providing a clear mathematical comprehension of the internal workings of the method. Although there already…

Machine Learning · Statistics 2024-02-05 David Rügamer

There is a renewed interest in polynomial regression in the form of identifying influential interactions between features. In many settings, this takes place in a high-dimensional model, making the number of interactions unwieldy or…

Methodology · Statistics 2020-02-19 Kory D. Johnson , Robert A. Stine , Dean P. Foster
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