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Large-scale dynamic inverse problems are often ill-posed due to model complexity and the high dimensionality of the unknown parameters. Regularization is commonly employed to mitigate ill-posedness by incorporating prior information and…

Numerical Analysis · Mathematics 2026-01-21 Aryeh Keating , Mirjeta Pasha

Bayesian analysis of state-space models includes computing the posterior distribution of the system's parameters as well as filtering, smoothing, and predicting the system's latent states. When the latent states wander around $\mathbb{R}^n$…

Methodology · Statistics 2013-12-24 Jesse Windle , Carlos M. Carvalho

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

This paper presents a general-purpose formulation of a large class of discrete-time planning problems, with hybrid state and control-spaces, as factored transition systems. Factoring allows state transitions to be described as the…

Robotics · Computer Science 2019-02-13 Caelan Reed Garrett , Tomás Lozano-Pérez , Leslie Pack Kaelbling

Matrix factorization is a very common machine learning technique in recommender systems. Bayesian Matrix Factorization (BMF) algorithms would be attractive because of their ability to quantify uncertainty in their predictions and avoid…

Machine Learning · Computer Science 2020-04-15 Tom Vander Aa , Xiangju Qin , Paul Blomstedt , Roel Wuyts , Wilfried Verachtert , Samuel Kaski

Sparsity constraints on the control inputs of a linear dynamical system naturally arise in several practical applications such as networked control, computer vision, seismic signal processing, and cyber-physical systems. In this work, we…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Rupam Kalyan Chakraborty , Geethu Joseph , Chandra R. Murthy

We present a scalable and robust Bayesian inference method for linear state space models. The method is applied to demand forecasting in the context of a large e-commerce platform, paying special attention to intermittent and bursty target…

With the recent success of representation learning methods, which includes deep learning as a special case, there has been considerable interest in developing techniques that incorporate known physical constraints into the learned…

Machine Learning · Computer Science 2024-01-02 Harsha Vardhan Tetali , Joel B. Harley , Benjamin D. Haeffele

This paper introduces factored conditional filters, new filtering algorithms for simultaneously tracking states and estimating parameters in high-dimensional state spaces. The conditional nature of the algorithms is used to estimate…

Artificial Intelligence · Computer Science 2024-07-10 Dawei Chen , Samuel Yang-Zhao , John Lloyd , Kee Siong Ng

We introduce neural information field filter, a Bayesian state and parameter estimation method for high-dimensional nonlinear dynamical systems given large measurement datasets. Solving such a problem using traditional methods, such as…

Machine Learning · Statistics 2024-12-17 Kairui Hao , Ilias Bilionis

Matrix factorization (MF) has become a common approach to collaborative filtering, due to ease of implementation and scalability to large data sets. Two existing drawbacks of the basic model is that it does not incorporate side information…

Machine Learning · Statistics 2014-07-30 Cody Severinski , Ruslan Salakhutdinov

Decentralized recommender system does not rely on the central service provider, and the users can keep the ownership of their ratings. This article brings the theoretically well-studied matrix factorization method into the decentralized…

Information Retrieval · Computer Science 2016-04-29 Wenjie Zheng

Matrix factorization (MF) is extensively used to mine the user preference from explicit ratings in recommender systems. However, the reliability of explicit ratings is not always consistent, because many factors may affect the user's final…

Information Retrieval · Computer Science 2018-06-25 Zhipeng Wu , Hui Tian , Xuzhen Zhu , Shuo Wang

Many businesses are using recommender systems for marketing outreach. Recommendation algorithms can be either based on content or driven by collaborative filtering. We study different ways to incorporate content information directly into…

Machine Learning · Statistics 2013-08-09 Jennifer Nguyen , Mu Zhu

Matrix factorization (MF), a cornerstone of recommender systems, decomposes user-item interaction matrices into latent representations. Traditional MF approaches, however, employ a two-stage, non-end-to-end paradigm, sequentially performing…

Information Retrieval · Computer Science 2025-04-22 Shangde Gao , Ke Liu , Yichao Fu , Hongxia Xu , Jian Wu

This paper presents an adaptive Kalman filter for a linear dynamic system perturbed by an additive disturbance. The objective is to estimate both of the state and the unknown disturbance concurrently, while learning the disturbance as a…

Optimization and Control · Mathematics 2019-10-23 Taeyoung Lee

The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

Recommender system recommends interesting items to users based on users' past information history. Researchers have been paying attention to improvement of algorithmic performance such as MAE and precision@K. Major techniques such as matrix…

Information Retrieval · Computer Science 2021-08-09 Hao Wang

The matrix factorization (MF) technique has been widely adopted for solving the rating prediction problem in recommender systems. The MF technique utilizes the latent factor model to obtain static user preferences (user latent vectors) and…

Social and Information Networks · Computer Science 2015-10-20 Yung-Yin Lo , Wanjiun Liao , Cheng-Shang Chang

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

Machine Learning · Computer Science 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang