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Binary matrix factorisation is an essential tool for identifying discrete patterns in binary data. In this paper we consider the rank-k binary matrix factorisation problem (k-BMF) under Boolean arithmetic: we are given an n x m binary…

Optimization and Control · Mathematics 2021-08-05 Reka A. Kovacs , Oktay Gunluk , Raphael A. Hauser

Nonnegative matrix factorization (NMF) is one of the most frequently-used matrix factorization models in data analysis. A significant reason to the popularity of NMF is its interpretability and the `parts of whole' interpretation of its…

Machine Learning · Computer Science 2018-01-19 Sanjar Karaev , James Hook , Pauli Miettinen

Federated recommender system (FRS), which enables many local devices to train a shared model jointly without transmitting local raw data, has become a prevalent recommendation paradigm with privacy-preserving advantages. However, previous…

Information Retrieval · Computer Science 2022-12-27 Honglei Zhang , Fangyuan Luo , Jun Wu , Xiangnan He , Yidong Li

We introduce SMUTF (Schema Matching Using Generative Tags and Hybrid Features), a unique approach for large-scale tabular data schema matching (SM), which assumes that supervised learning does not affect performance in open-domain tasks,…

Computation and Language · Computer Science 2025-05-06 Yu Zhang , Mei Di , Haozheng Luo , Chenwei Xu , Richard Tzong-Han Tsai

Recommending items to potentially interested users has been an important commercial task that faces two main challenges: accuracy and explainability. While most collaborative filtering models rely on statistical computations on a large…

Information Retrieval · Computer Science 2024-05-07 Lei Pan , Von-Wun Soo

Matrix factorization methods are linear models, with limited capability to model complex relations. In our work, we use tropical semiring to introduce non-linearity into matrix factorization models. We propose a method called Sparse…

Machine Learning · Computer Science 2021-04-20 Amra Omanović , Hilal Kazan , Polona Oblak , Tomaž Curk

Matrix factorization is a widely adopted recommender system technique that fits scalar rating values by dot products of user feature vectors and item feature vectors. However, the formulation of matrix factorization as a scalar fitting…

Information Retrieval · Computer Science 2021-12-07 Hao Wang

Recommendation Systems apply Information Retrieval techniques to select the online information relevant to a given user. Collaborative Filtering is currently most widely used approach to build Recommendation System. CF techniques uses the…

Information Retrieval · Computer Science 2015-03-26 Dheeraj kumar Bokde , Sheetal Girase , Debajyoti Mukhopadhyay

The past few years have witnessed the great success of recommender systems, which can significantly help users find out personalized items for them from the information era. One of the most widely applied recommendation methods is the…

Information Retrieval · Computer Science 2015-06-17 Chu-Xu Zhang , Zi-Ke Zhang , Lu Yu , Chuang Liu , Hao Liu , Xiao-Yong Yan

Vision Foundation Models (VFMs) have become the cornerstone of modern computer vision, offering robust representations across a wide array of tasks. While recent advances allow these models to handle varying input sizes during training,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Bocheng Zou , Mu Cai , Mark Stanley , Dingfu Lu , Yong Jae Lee

We introduce MLFMF, a collection of data sets for benchmarking recommendation systems used to support formalization of mathematics with proof assistants. These systems help humans identify which previous entries (theorems, constructions,…

Machine Learning · Computer Science 2023-10-25 Andrej Bauer , Matej Petković , Ljupčo Todorovski

Over the past few years, deep learning has firmly established its prowess across various domains, including computer vision, speech recognition, and natural language processing. Motivated by its outstanding success, researchers have been…

Information Retrieval · Computer Science 2023-08-15 Wen Liang , Zeng Fan , Youzhi Liang , Jianguo Jia

Simplex-structured matrix factorization (SSMF) is a generalization of nonnegative matrix factorization, a fundamental interpretable data analysis model, and has applications in hyperspectral unmixing and topic modeling. To obtain…

Numerical Analysis · Mathematics 2025-01-10 Maryam Abdolali , Giovanni Barbarino , Nicolas Gillis

In this work we describe an efficient implementation of a hierarchy of algorithms for the decomposition of dense matrices over the field with two elements (GF(2)). Matrix decomposition is an essential building block for solving dense…

Mathematical Software · Computer Science 2010-06-10 Martin R. Albrecht , Clément Pernet

Kernel methods are widespread in machine learning; however, they are limited by the quadratic complexity of the construction, application, and storage of kernel matrices. Low-rank matrix approximation algorithms are widely used to address…

Machine Learning · Statistics 2021-05-05 Ruoxi Wang , Yingzhou Li , Michael W. Mahoney , Eric Darve

Nonnegative matrix factorization (NMF) with group sparsity constraints is formulated as a probabilistic graphical model and, assuming some observed data have been generated by the model, a feasible variational Bayesian algorithm is derived…

Computer Vision and Pattern Recognition · Computer Science 2014-05-28 Ivan Ivek

Context-aware recommendation algorithms focus on refining recommendations by considering additional information, available to the system. This topic has gained a lot of attention recently. Among others, several factorization methods were…

Information Retrieval · Computer Science 2015-05-20 Balázs Hidasi , Domonkos Tikk

Nonnegative matrix factorization (NMF) has become a prominent technique for the analysis of image databases, text databases and other information retrieval and clustering applications. In this report, we define an exact version of NMF. Then…

Numerical Analysis · Computer Science 2007-09-27 Stephen A. Vavasis

While recommendation systems generally observe user behavior passively, there has been an increased interest in directly querying users to learn their specific preferences. In such settings, considering queries at different levels of…

Machine Learning · Computer Science 2018-12-03 Yuheng Bu , Kevin Small

Feature selection represents a measure to reduce the complexity of high-dimensional datasets and gain insights into the systematic variation in the data. This aspect is of specific importance in domains that rely on model interpretability,…

Machine Learning · Computer Science 2022-09-07 Anna Jenul , Stefan Schrunner , Jürgen Pilz , Oliver Tomic