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Latent Factor Model (LFM) is one of the most successful methods for Collaborative filtering (CF) in the recommendation system, in which both users and items are projected into a joint latent factor space. Base on matrix factorization…

Information Retrieval · Computer Science 2021-05-19 Jiansheng Fang , Xiaoqing Zhang , Yan Hu , Yanwu Xu , Ming Yang , Jiang Liu

In this work, we consider robust submodular maximization with matroid constraints. We give an efficient bi-criteria approximation algorithm that outputs a small family of feasible sets whose union has (nearly) optimal objective value. This…

Data Structures and Algorithms · Computer Science 2018-07-26 Sebastian Pokutta , Mohit Singh , Alfredo Torrico

Running machine learning algorithms on large and rapidly growing volumes of data is often computationally expensive, one common trick to reduce the size of a data set, and thus reduce the computational cost of machine learning algorithms,…

Machine Learning · Computer Science 2022-01-25 Shaojie Tang , Jing Yuan

The latest industrial inference engines, such as FasterTransformer and TurboTransformers, have verified that half-precision floating point (FP16) and 8-bit integer (INT8) quantization can greatly improve model inference speed. However, the…

Machine Learning · Computer Science 2023-12-19 Rong Tian , Zijing Zhao , Weijie Liu , Haoyan Liu , Weiquan Mao , Zhe Zhao , Kan Zhou

Gaussian processes are a powerful class of non-linear models, but have limited applicability for larger datasets due to their high computational complexity. In such cases, approximate methods are required, for example, the recently…

Methodology · Statistics 2026-03-24 Soham Mukherjee , Manfred Claassen , Paul-Christian Bürkner

We speed up marginal inference by ignoring factors that do not significantly contribute to overall accuracy. In order to pick a suitable subset of factors to ignore, we propose three schemes: minimizing the number of model factors under a…

Machine Learning · Computer Science 2012-03-19 Sebastian Riedel , David A. Smith , Andrew McCallum

This paper introduces a computational framework to incorporate flexible regularization techniques in ensemble Kalman methods for nonlinear inverse problems. The proposed methodology approximates the maximum a posteriori (MAP) estimate of a…

Computation · Statistics 2022-05-20 Hwanwoo Kim , Daniel Sanz-Alonso , Alexander Strang

We propose subsampling as a unified algorithmic technique for submodular maximization in centralized and online settings. The idea is simple: independently sample elements from the ground set, and use simple combinatorial techniques (such…

Data Structures and Algorithms · Computer Science 2021-04-08 Christopher Harshaw , Ehsan Kazemi , Moran Feldman , Amin Karbasi

This paper proposes a new approach for Bayesian and maximum likelihood parameter estimation for stationary Gaussian processes observed on a large lattice with missing values. We propose an MCMC approach for Bayesian inference, and a Monte…

Computation · Statistics 2014-02-19 Jonathan R. Stroud , Michael L. Stein , Shaun Lysen

We consider influence maximization (IM) in social networks, which is the problem of maximizing the number of users that become aware of a product by selecting a set of "seed" users to expose the product to. While prior work assumes a known…

Machine Learning · Computer Science 2018-05-25 Sharan Vaswani , Branislav Kveton , Zheng Wen , Mohammad Ghavamzadeh , Laks Lakshmanan , Mark Schmidt

Distributions over exchangeable matrices with infinitely many columns, such as the Indian buffet process, are useful in constructing nonparametric latent variable models. However, the distribution implied by such models over the number of…

Methodology · Statistics 2012-09-07 Sinead Williamson , Zoubin Ghahramani , Steven N. MacEachern , Eric P. Xing

We consider the problem of estimating the expected value of information (the knowledge gradient) for Bayesian learning problems where the belief model is nonlinear in the parameters. Our goal is to maximize some metric, while simultaneously…

Machine Learning · Statistics 2016-11-23 Xinyu He , Warren B. Powell

Probabilistic circuits (PCs) such as sum-product networks efficiently represent large multi-variate probability distributions. They are preferred in practice over other probabilistic representations such as Bayesian and Markov networks…

Machine Learning · Computer Science 2024-02-07 Shivvrat Arya , Tahrima Rahman , Vibhav Gogate

Latent Gaussian models have a rich history in statistics and machine learning, with applications ranging from factor analysis to compressed sensing to time series analysis. The classical method for maximizing the likelihood of these models…

Machine Learning · Computer Science 2023-06-07 Alexander Lin , Bahareh Tolooshams , Yves Atchadé , Demba Ba

This paper proposes a novel approach for the generation of memory-efficient table-based function approximation circuits for FPGAs. Given a function f(x) to be approximated in a given interval [x0,x0+a] and a maximum approximation error Ea,…

Hardware Architecture · Computer Science 2022-04-26 Chetana Pradhan , Martin Letras , Jürgen Teich

In this paper, we study the classic submodular maximization problem subject to a group equality constraint under both non-adaptive and adaptive settings. It has been shown that the utility function of many machine learning applications,…

Machine Learning · Computer Science 2023-08-30 Shaojie Tang , Jing Yuan

We present a practical and powerful new framework for both unconstrained and constrained submodular function optimization based on discrete semidifferentials (sub- and super-differentials). The resulting algorithms, which repeatedly compute…

Data Structures and Algorithms · Computer Science 2013-08-13 Rishabh Iyer , Stefanie Jegelka , Jeff Bilmes

We study iterative blind symbol detection for block-fading linear inter-symbol interference channels. Based on the factor graph framework, we design a joint channel estimation and detection scheme that combines the expectation maximization…

Information Theory · Computer Science 2024-08-06 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen

A number of recent results on optimization problems involving submodular functions have made use of the multilinear relaxation of the problem. These results hold typically in the value oracle model, where the objective function is…

Data Structures and Algorithms · Computer Science 2013-01-31 Jan Vondrak

Generalized linear mixed models are useful in studying hierarchical data with possibly non-Gaussian responses. However, the intractability of likelihood functions poses challenges for estimation. We develop a new method suitable for this…

Methodology · Statistics 2022-01-26 Zexi Song , Zhiqiang Tan