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Data scientists seeking a good supervised learning model on a new dataset have many choices to make: they must preprocess the data, select features, possibly reduce the dimension, select an estimation algorithm, and choose hyperparameters…

Machine Learning · Computer Science 2020-06-11 Chengrun Yang , Jicong Fan , Ziyang Wu , Madeleine Udell

Matrix Factorization is one of the most successful recommender system techniques over the past decade. However, the classic probabilistic theory framework for matrix factorization is modeled using normal distributions. To find better…

Information Retrieval · Computer Science 2022-12-21 Hao Wang

We present a matrix-factorization algorithm that scales to input matrices with both huge number of rows and columns. Learned factors may be sparse or dense and/or non-negative, which makes our algorithm suitable for dictionary learning,…

Machine Learning · Statistics 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gael Varoquaux

We present new results on Boolean matrix factorization and a new algorithm based on these results. The results emphasize the significance of factorizations that provide from-below approximations of the input matrix. While the previously…

Numerical Analysis · Computer Science 2015-06-26 Radim Belohlavek , Martin Trnecka

Matrix completion is one of the key problems in signal processing and machine learning. In recent years, deep-learning-based models have achieved state-of-the-art results in matrix completion. Nevertheless, they suffer from two drawbacks:…

Machine Learning · Computer Science 2018-12-05 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

With the advent of online social networks, recommender systems have became crucial for the success of many online applications/services due to their significance role in tailoring these applications to user-specific needs or preferences.…

Social and Information Networks · Computer Science 2014-08-05 Rana Forsati , Mehrdad Mahdavi , Mehrnoush Shamsfard , Mohamed Sarwat

The traditional social recommendation algorithm ignores the following fact: the preferences of users with trust relationships are not necessarily similar, and the consideration of user preference similarity should be limited to specific…

Information Retrieval · Computer Science 2019-03-13 Wei Peng , Baogui Xin

Multiresolution Matrix Factorization (MMF) was recently introduced as an alternative to the dominant low-rank paradigm in order to capture structure in matrices at multiple different scales. Using ideas from multiresolution analysis (MRA),…

Numerical Analysis · Mathematics 2019-10-14 Pramod Kaushik Mudrakarta , Shubhendu Trivedi , Risi Kondor

Knowledge acquisition and exchange are generally crucial yet costly for both businesses and individuals, especially when the knowledge concerns various areas. Question Answering Communities offer an opportunity for sharing knowledge at a…

Information Retrieval · Computer Science 2018-08-08 Chaoran Huang , Lina Yao , Xianzhi Wang , Boualem Benatallah , Shuai Zhang , Manqing Dong

High-dimensional data analysis using traditional models suffers from overparameterization. Two types of techniques are commonly used to reduce the number of parameters - regularization and dimension reduction. In this project, we combine…

Methodology · Statistics 2026-03-26 Xialu Liu , Xin Wang

Data often comes in the form of an array or matrix. Matrix factorization techniques attempt to recover missing or corrupted entries by assuming that the matrix can be written as the product of two low-rank matrices. In other words, matrix…

Machine Learning · Computer Science 2015-12-16 Gintare Karolina Dziugaite , Daniel M. Roy

Recommendation models can effectively estimate underlying user interests and predict one's future behaviors by factorizing an observed user-item rating matrix into products of two sets of latent factors. However, the user-specific embedding…

Information Retrieval · Computer Science 2022-03-08 Qitian Wu , Hengrui Zhang , Xiaofeng Gao , Junchi Yan , Hongyuan Zha

This text investigates relations between two well-known family of algorithms, matrix factorisations and recursive linear filters, by describing a probabilistic model in which approximate inference corresponds to a matrix factorisation…

Machine Learning · Statistics 2015-09-08 Ömer Deniz Akyıldız

We consider the efficiency of multiplexing spatially encoded information across random configurations of a metasurface-programmable chaotic cavity in the microwave domain. The distribution of the effective rank of the channel matrix is…

Applied Physics · Physics 2020-08-05 Philipp del Hougne , Dmitry V. Savin , Olivier Legrand , Ulrich Kuhl

This article provides an original understanding of the behavior of a class of graph-oriented semi-supervised learning algorithms in the limit of large and numerous data. It is demonstrated that the intuition at the root of these methods…

Machine Learning · Computer Science 2017-11-10 Xiaoyi Mai , Romain Couillet

Recommender systems are one of the most successful applications of machine learning and data science. They are successful in a wide variety of application domains, including e-commerce, media streaming content, email marketing, and…

Information Retrieval · Computer Science 2023-04-04 Juan Pablo Equihua , Maged Ali , Henrik Nordmark , Berthold Lausen

Matrix Factorization has many applications such as clustering. When the matrix is Boolean it is favorable to have Boolean factors too. This will save the efforts of quantizing the reconstructed data back, which usually is done using…

Data Structures and Algorithms · Computer Science 2019-03-26 Abdelmoneim Amer Desouki , Michael Röder , Axel-Cyrille Ngonga Ngomo

In recommendation systems, one is interested in the ranking of the predicted items as opposed to other losses such as the mean squared error. Although a variety of ways to evaluate rankings exist in the literature, here we focus on the Area…

Machine Learning · Statistics 2015-08-26 Charanpal Dhanjal , Romaric Gaudel , Stephan Clemencon

Computational drug repositioning aims to discover new therapeutic diseases for marketed drugs and has the advantages of low cost, short development cycle, and high controllability compared to traditional drug development. The matrix…

Machine Learning · Computer Science 2021-11-30 Xinxing Yang , Genke Yangand Jian Chu

We present a novel Bayesian inference tool that uses a neural network to parameterise efficient Markov Chain Monte-Carlo (MCMC) proposals. The target distribution is first transformed into a diagonal, unit variance Gaussian by a series of…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-03 Adam Moss