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Matrix-parametrized models, including multiclass logistic regression and sparse coding, are used in machine learning (ML) applications ranging from computer vision to computational biology. When these models are applied to large-scale ML…

Machine Learning · Computer Science 2015-11-30 Pengtao Xie , Jin Kyu Kim , Yi Zhou , Qirong Ho , Abhimanu Kumar , Yaoliang Yu , Eric Xing

Matrix-parametrized models, including multiclass logistic regression and sparse coding, are used in machine learning (ML) applications ranging from computer vision to computational biology. When these models are applied to large-scale ML…

Machine Learning · Computer Science 2015-09-08 Pengtao Xie , Jin Kyu Kim , Yi Zhou , Qirong Ho , Abhimanu Kumar , Yaoliang Yu , Eric Xing

Non-negative matrix factorization (NMF) is a new knowledge discovery method that is used for text mining, signal processing, bioinformatics, and consumer analysis. However, its basic property as a learning machine is not yet clarified, as…

Statistics Theory · Mathematics 2019-06-10 Naoki Hayashi , Sumio Watanabe

The purpose if this master's thesis is to study and develop a new algorithmic framework for Collaborative Filtering to produce recommendations in the top-N recommendation problem. Thus, we propose Lanczos Latent Factor Recommender (LLFR); a…

Machine Learning · Statistics 2016-06-15 Maria Kalantzi

Nonnegative matrix factorization (NMF) is a powerful tool for data mining. However, the emergence of `big data' has severely challenged our ability to compute this fundamental decomposition using deterministic algorithms. This paper…

Machine Learning · Statistics 2018-05-02 N. Benjamin Erichson , Ariana Mendible , Sophie Wihlborn , J. Nathan Kutz

Bounded model finding is a key technique for validating software designs, usually obtained by translating high-level specifications into SAT/SMT problems. Although effective, such translations introduce a semantic gap and a dependency on…

Logic in Computer Science · Computer Science 2026-03-24 Artur Boronat

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 ubiquitous tool for data analysis. An important variant is the sparse NMF problem which arises when we explicitly require the learnt features to be sparse. A natural measure of sparsity is…

Machine Learning · Computer Science 2013-03-20 Vamsi K. Potluru , Sergey M. Plis , Jonathan Le Roux , Barak A. Pearlmutter , Vince D. Calhoun , Thomas P. Hayes

Simplex-structured matrix factorization (SSMF) is a common task encountered in signal processing and machine learning. Minimum-volume constrained unmixing (MVCU) algorithms are among the most widely used methods to perform this task. While…

Despite the prominence of neural network approaches in the field of recommender systems, simple methods such as matrix factorization with quadratic loss are still used in industry for several reasons. These models can be trained with…

Information Retrieval · Computer Science 2022-05-24 Dmitrii Beloborodov , Andrei Zimovnov , Petr Molodyk , Dmitrii Kirillov

Non-Negative Matrix Factorization (NMF) is a widely used dimension reduction method that factorizes a non-negative data matrix into two lower dimensional non-negative matrices: One is the basis or feature matrix which consists of the…

Applications · Statistics 2022-11-03 Yun Cai , Hong Gu , Toby Kenney

Gradient Boosted Decision Trees (GBDTs) are widely used for building ranking and relevance models in search and recommendation. Considerations such as latency and interpretability dictate the use of as few features as possible to train…

Machine Learning · Statistics 2021-09-07 Cuize Han , Nikhil Rao , Daria Sorokina , Karthik Subbian

Nonnegative matrix factorization (NMF) has become a widely used tool for the analysis of high-dimensional data as it automatically extracts sparse and meaningful features from a set of nonnegative data vectors. We first illustrate this…

Machine Learning · Statistics 2014-12-10 Nicolas Gillis

Collaborative filtering (CF) is a popular technique in today's recommender systems, and matrix approximation-based CF methods have achieved great success in both rating prediction and top-N recommendation tasks. However, real-world…

Machine Learning · Computer Science 2018-11-07 Dongsheng Li , Chao Chen , Qin Lv , Junchi Yan , Li Shang , Stephen M. Chu

Existing works based on latent factor models have focused on representing the rating matrix as a product of user and item latent factor matrices, both being dense. Latent (factor) vectors define the degree to which a trait is possessed by…

Information Retrieval · Computer Science 2015-05-08 Anupriya Gogna , Angshul Majumdar

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

Automated per-instance algorithm selection and configuration have shown promising performances for a number of classic optimization problems, including satisfiability, AI planning, and TSP. The techniques often rely on a set of features…

Neural and Evolutionary Computing · Computer Science 2020-10-01 Tome Eftimov , Gorjan Popovski , Quentin Renau , Peter Korosec , Carola Doerr

Multi-behavior recommendation systems enhance effectiveness by leveraging auxiliary behaviors (such as page views and favorites) to address the limitations of traditional models that depend solely on sparse target behaviors like purchases.…

Information Retrieval · Computer Science 2024-08-23 Haojie Li , Zhiyong Cheng , Xu Yu , Jinhuan Liu , Guanfeng Liu , Junwei Du

Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available supervisory information (usually in the form of pairwise constraints) to improve the clustering ability of SNMF. The previous methods introduce the…

Machine Learning · Computer Science 2024-10-29 Yuheng Jia , Jia-Nan Li , Wenhui Wu , Ran Wang

Many machine learning applications such as in vision, biology and social networking deal with data in high dimensions. Feature selection is typically employed to select a subset of features which im- proves generalization accuracy as well…

Machine Learning · Computer Science 2016-06-15 Yamuna Prasad , Dinesh Khandelwal , K. K. Biswas