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Recommendation systems often rely on point-wise loss metrics such as the mean squared error. However, in real recommendation settings only few items are presented to a user. This observation has recently encouraged the use of rank-based…

Machine Learning · Computer Science 2015-11-05 Phong Nguyen , Jun Wang , Alexandros Kalousis

In various practical situations, matrix factorization methods suffer from poor data quality, such as high data sparsity and low signal-to-noise ratio (SNR). Here, we consider a matrix factorization problem by utilizing auxiliary…

Machine Learning · Statistics 2026-01-06 Zhiwei Wang , Fa Zhang , Cong Zheng , Xianghong Hu , Mingxuan Cai , Can Yang

There has been an intense development on the estimation of a sparse regression coefficient vector in statistics, machine learning and related fields. In this paper, we focus on the Bayesian approach to this problem, where sparsity is…

Computation · Statistics 2016-02-25 Xichen Huang , Jin Wang , Feng Liang

Recursive Bayesian inference, in which posterior beliefs are updated in light of accumulating data, is a tool for implementing Bayesian models in applications with streaming and/or very large data sets. As the posterior of one iteration…

Methodology · Statistics 2025-08-05 Henry R. Scharf

We propose a novel approach to perform approximate Bayesian inference in complex models such as Bayesian neural networks. The approach is more scalable to large data than Markov Chain Monte Carlo, it embraces more expressive models than…

Machine Learning · Statistics 2022-09-07 Joel Janek Dabrowski , Daniel Edward Pagendam

Datasets are growing not just in size but in complexity, creating a demand for rich models and quantification of uncertainty. Bayesian methods are an excellent fit for this demand, but scaling Bayesian inference is a challenge. In response…

Machine Learning · Statistics 2016-03-23 Elaine Angelino , Matthew James Johnson , Ryan P. Adams

We consider the probabilistic analogue to neural network matrix factorization (Dziugaite & Roy, 2015), which we construct with Bayesian neural networks and fit with variational inference. We find that a linear model fit with variational…

Machine Learning · Statistics 2019-08-16 Onno Kampman , Creighton Heaukulani

Collaborative filtering or recommender systems use a database about user preferences to predict additional topics or products a new user might like. In this paper we describe several algorithms designed for this task, including techniques…

Information Retrieval · Computer Science 2013-02-01 John S. Breese , David Heckerman , Carl Kadie

Factorization machines (FMs) are widely used in recommender systems due to their adaptability and ability to learn from sparse data. However, for the ubiquitous non-interactive features in sparse data, existing FMs can only estimate the…

Information Retrieval · Computer Science 2022-06-20 Chenwang Wu , Defu Lian , Yong Ge , Min Zhou , Enhong Chen , Dacheng Tao

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

Recommendation systems personalise suggestions to individuals to help them in their decision making and exploration tasks. In the ideal case, these recommendations, besides of being accurate, should also be novel and explainable. However,…

Information Retrieval · Computer Science 2019-07-26 Ludovik Coba , Panagiotis Symeonidis , Markus Zanker

We introduce a variational Bayesian neural network where the parameters are governed via a probability distribution on random matrices. Specifically, we employ a matrix variate Gaussian \cite{gupta1999matrix} parameter posterior…

Machine Learning · Statistics 2016-06-24 Christos Louizos , Max Welling

Albeit, the implicit feedback based recommendation problem - when only the user history is available but there are no ratings - is the most typical setting in real-world applications, it is much less researched than the explicit feedback…

Machine Learning · Computer Science 2013-04-05 Balázs Hidasi , Domonkos Tikk

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

We introduce scalable algorithms for online learning of neural network parameters and Bayesian sequential decision making. Unlike classical Bayesian neural networks, which induce predictive uncertainty through a posterior over model…

Machine Learning · Computer Science 2025-10-10 Gerardo Duran-Martin , Leandro Sánchez-Betancourt , Álvaro Cartea , Kevin Murphy

Sequential recommendation refers to recommending the next item of interest for a specific user based on his/her historical behavior sequence up to a certain time. While previous research has extensively examined Markov chain-based…

Information Retrieval · Computer Science 2025-01-06 DongYu Du , Yue Chan

We extend the theory of matrix completion to the case where we make Poisson observations for a subset of entries of a low-rank matrix. We consider the (now) usual matrix recovery formulation through maximum likelihood with proper…

Machine Learning · Statistics 2015-03-26 Yang Cao , Yao Xie

Most modern recommendation algorithms are data-driven: they generate personalized recommendations by observing users' past behaviors. A common assumption in recommendation is that how a user interacts with a piece of content (e.g., whether…

Computers and Society · Computer Science 2024-05-12 Sarah H. Cen , Andrew Ilyas , Jennifer Allen , Hannah Li , Aleksander Madry

In light of recent data science trends, new interest has fallen in alternative matrix factorizations. By this, we mean various ways of factorizing particular data matrices so that the factors have special properties and reveal insights into…

Optimization and Control · Mathematics 2023-02-21 Andries Steenkamp

In this paper we consider the modern theory of the Bayesian brain from cognitive neurosciences in the light of recommender systems and expose potentials for our community. In particular, we elaborate on noisy user feedback and the thus…

Human-Computer Interaction · Computer Science 2017-06-28 Kevin Jasberg , Sergej Sizov