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Finding statistically significant high-order interaction features in predictive modeling is important but challenging task. The difficulty lies in the fact that, for a recent applications with high-dimensional covariates, the number of…

Machine Learning · Statistics 2015-06-29 S. Suzumura , K. Nakagawa , K. Tsuda , I. Takeuchi

This paper describes the hierarchical infinite relational model (HIRM), a new probabilistic generative model for noisy, sparse, and heterogeneous relational data. Given a set of relations defined over a collection of domains, the model…

Machine Learning · Computer Science 2022-02-25 Feras A. Saad , Vikash K. Mansinghka

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

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

Recent advances in deep learning highlight the need for personalized models that can learn from small samples, handle high-dimensional features, and remain interpretable. To address this, we propose the Sparse Deep Additive Model with…

Machine Learning · Statistics 2026-05-19 Yi-Ting Hung , Li-Hsiang Lin , Vince D. Calhoun

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

Methodology · Statistics 2025-03-14 Matteo D'Alessandro , Magne Thoresen

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

While the SLIM approach obtained high ranking-accuracy in many experiments in the literature, it is also known for its high computational cost of learning its parameters from data. For this reason, we focus in this paper on variants of…

Information Retrieval · Computer Science 2019-05-01 Harald Steck

We study a regression model with a huge number of interacting variables. We consider a specific approximation of the regression function under two ssumptions: (i) there exists a sparse representation of the regression function in a…

Statistics Theory · Mathematics 2009-09-29 Peter J. Bickel , Ya'acov Ritov , Alexander B. Tsybakov

The importance of higher-order relations is widely recognized in a large number of real-world systems. However, annotating them is a tedious and sometimes impossible task. Consequently, current approaches for data modelling either ignore…

Machine Learning · Computer Science 2025-06-06 Iulia Duta , Pietro Liò

Problem definition. In retailing, discrete choice models (DCMs) are commonly used to capture the choice behavior of customers when offered an assortment of products. When estimating DCMs using transaction data, flexible models (such as…

Machine Learning · Computer Science 2025-10-08 Ningyuan Chen , Guillermo Gallego , Zhuodong Tang

Modeling holistic user interests is important for improving recommendation systems but is challenged by high computational cost and difficulty in handling diverse information with full behavior context. Existing search-based methods might…

Information Retrieval · Computer Science 2025-04-10 Yong Bai , Rui Xiang , Kaiyuan Li , Yongxiang Tang , Yanhua Cheng , Xialong Liu , Peng Jiang , Kun Gai

Sparse shrunk additive models and sparse random feature models have been developed separately as methods to learn low-order functions, where there are few interactions between variables, but neither offers computational efficiency. On the…

Machine Learning · Computer Science 2021-12-09 Yuege Xie , Bobby Shi , Hayden Schaeffer , Rachel Ward

As LLMs continue to scale, improving training efficiency increasingly depends on using data more effectively. Data selection addresses this problem by allocating a limited training budget to samples that best promote a target behavior.…

Machine Learning · Computer Science 2026-05-21 Qihao Lin , Guanxu Chen , Dongrui Liu , Jing Shao

Precision medicine is becoming a focus in medical research recently, as its implementation brings values to all stakeholders in the healthcare system. Various statistical methodologies have been developed tackling problems in different…

Quantitative Methods · Quantitative Biology 2019-10-07 Zhen Zeng , Yuefeng Lu , Judong Shen , Wei Zheng , Peter Shaw , Mary Beth Dorr

In statistical learning framework with regressions, interactions are the contributions to the response variable from the products of the explanatory variables. In high-dimensional problems, detecting interactions is challenging due to…

Methodology · Statistics 2019-10-01 Cheng Yong Tang , Ethan X. Fang , Yuexiao Dong

Given its vast application on online social networks, Influence Maximization (IM) has garnered considerable attention over the last couple of decades. Due to the intricacy of IM, most current research concentrates on estimating the…

Social and Information Networks · Computer Science 2023-04-14 Zonghan Zhang , Zhiqian Chen

In the age of big data and interpretable machine learning, approaches need to work at scale and at the same time allow for a clear mathematical understanding of the method's inner workings. While there exist inherently interpretable…

Computation · Statistics 2023-02-02 David Rügamer

Influence maximization in networks is a central problem in machine learning and causal inference, where an intervention on a subset of individuals triggers a diffusion process through the network. Existing approaches typically optimize…

Methodology · Statistics 2026-03-13 Renjie Cao , Zhuoxin Yan , Xinyan Su , Zhiheng Zhang

Large Language Models (LLMs) have achieved remarkable performance by capturing complex interactions between input features. To identify these interactions, most existing approaches require enumerating all possible combinations of features…

Machine Learning · Computer Science 2025-10-27 Landon Butler , Abhineet Agarwal , Justin Singh Kang , Yigit Efe Erginbas , Bin Yu , Kannan Ramchandran
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