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Wireless edge caching is a popular strategy to avoid backhaul congestion in the next generation networks, where the content is cached in advance at base stations to serve redundant requests during peak congestion periods. In the edge…

Information Theory · Computer Science 2022-03-01 Navneet Garg , Tharmalingam Ratnarajah

Tensors, also known as multidimensional arrays, are useful data structures in machine learning and statistics. In recent years, Bayesian methods have emerged as a popular direction for analyzing tensor-valued data since they provide a…

Methodology · Statistics 2024-02-02 Yiyao Shi , Weining Shen

RANSAC-based algorithms are the standard techniques for robust estimation in computer vision. These algorithms are iterative and computationally expensive; they alternate between random sampling of data, computing hypotheses, and running…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Valter Piedade , Pedro Miraldo

We propose a general solution to the problem of robust Bayesian inference in complex settings where outliers may be present. In practice, the automation of robust Bayesian analyses is important in the many applications involving large and…

Methodology · Statistics 2022-04-15 Jeremie Houssineau , David J. Nott

The goal of tensor completion is to recover a tensor from a subset of its entries, often by exploiting its low-rank property. Among several useful definitions of tensor rank, the low-tubal-rank was shown to give a valuable characterization…

Machine Learning · Computer Science 2022-10-18 Yicong He , George K. Atia

In this thesis, we introduce Bayesian filtering as a principled framework for tackling diverse sequential machine learning problems, including online (continual) learning, prequential (one-step-ahead) forecasting, and contextual bandits. To…

Machine Learning · Statistics 2025-05-13 Gerardo Duran-Martin

A substantial progress in development of new and efficient tensor factorization techniques has led to an extensive research of their applicability in recommender systems field. Tensor-based recommender models push the boundaries of…

Machine Learning · Computer Science 2018-02-20 Evgeny Frolov , Ivan Oseledets

Supervised learning of time series data has been extensively studied for the case of a categorical target variable. In some application domains, e.g., energy, environment and health monitoring, it occurs that the target variable is…

Machine Learning · Computer Science 2021-05-11 Dominique Gay , Alexis Bondu , Vincent Lemaire , Marc Boullé

Least squares support vector machines are a commonly used supervised learning method for nonlinear regression and classification. They can be implemented in either their primal or dual form. The latter requires solving a linear system,…

Machine Learning · Computer Science 2021-10-27 Maximilian Lucassen , Johan A. K. Suykens , Kim Batselier

In recent years, image recognition method has been a research hotspot in various fields such as video surveillance, biometric identification, unmanned vehicles, human-computer interaction, and medical image recognition. Existing recognition…

Methodology · Statistics 2025-05-12 Yunzhi Jin , Yanqing Zhang , Niansheng Tang

Most contemporary multi-task learning methods assume linear models. This setting is considered shallow in the era of deep learning. In this paper, we present a new deep multi-task representation learning framework that learns cross-task…

Machine Learning · Computer Science 2017-02-20 Yongxin Yang , Timothy Hospedales

In this paper, we present a Bayesian channel estimation algorithm for multicarrier receivers based on pilot symbol observations. The inherent sparse nature of wireless multipath channels is exploited by modeling the prior distribution of…

Machine Learning · Statistics 2013-03-07 Niels Lovmand Pedersen , Carles Navarro Manchón Bernard Henri Fleury

Bayesian variable selection regression (BVSR) is able to jointly analyze genome-wide genetic datasets, but the slow computation via Markov chain Monte Carlo (MCMC) hampered its wide-spread usage. Here we present a novel iterative method to…

Computation · Statistics 2018-07-31 Quan Zhou , Yongtao Guan

Bayes' rule naturally allows for inference refinement in a streaming fashion, without the need to recompute posteriors from scratch whenever new data arrives. In principle, Bayesian streaming is straightforward: we update our prior with the…

Machine Learning · Computer Science 2024-11-12 Tiago da Silva , Daniel Augusto de Souza , Diego Mesquita

In statistical learning for real-world large-scale data problems, one must often resort to "streaming" algorithms which operate sequentially on small batches of data. In this work, we present an analysis of the information-theoretic limits…

Machine Learning · Statistics 2018-01-22 Andre Manoel , Florent Krzakala , Eric W. Tramel , Lenka Zdeborová

This paper studies the data sparsity problem in multi-view learning. To solve data sparsity problem in multiview ratings, we propose a generic architecture of deep transfer tensor factorization (DTTF) by integrating deep learning and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-14 Penghao Jiang , Ke Xin , Chunxi Li

Although linear regression models are fundamental tools in statistical science, the estimation results can be sensitive to outliers. While several robust methods have been proposed in frequentist frameworks, statistical inference is not…

Methodology · Statistics 2020-07-15 Shintaro Hashimoto , Shonosuke Sugasawa

Functional tensor decomposition can analyze multi-dimensional data with real-valued indices, paving the path for applications in machine learning and signal processing. A limitation of existing approaches is the assumption that the tensor…

Machine Learning · Computer Science 2025-12-29 Siyuan Li , Shikai Fang , Lei Cheng , Feng Yin , Yik-Chung Wu , Peter Gerstoft , Sergios Theodoridis

To efficiently express tensor data using the Tucker format, a critical task is to minimize the multilinear rank such that the model would not be over-flexible and lead to overfitting. Due to the lack of rank minimization tools in tensor,…

Signal Processing · Electrical Eng. & Systems 2024-09-11 Xueke Tong , Hancheng Zhu , Lei Cheng , Yik-Chung Wu

With the advent of GPU-assisted hardware and maturing high-efficiency software platforms such as TensorFlow and PyTorch, Bayesian posterior sampling for neural networks becomes plausible. In this article we discuss Bayesian parametrization…

Statistics Theory · Mathematics 2020-03-05 Frederik Heber , Zofia Trstanova , Benedict Leimkuhler