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We recast the forward pass of a multilayered convolutional neural network (CNN) as the solution to the problem of sparse least squares migration (LSM). The CNN filters and feature maps are shown to be analogous, but not equivalent, to the…

Geophysics · Physics 2020-05-26 Zhaolun Liu , Yuqing Chen , Gerard Schuster

Observed clusters should be modelled by considering the distribution function to be a random variable that quantifies the degree of excitation of the system's normal modes. A system of canonical coordinates for the space of DFs is…

Astrophysics of Galaxies · Physics 2021-08-11 Jun Yan Lau , James Binney

This paper presents distributed adaptive algorithms based on the conjugate gradient (CG) method for distributed networks. Both incremental and diffusion adaptive solutions are all considered. The distributed conventional (CG) and modified…

Information Theory · Computer Science 2013-06-19 Songcen Xu , Rodrigo C. de Lamare

Understanding the how the distribution of an economic outcome, such as income, changes with respect to space and covariates is a key concern for policy makers. To address this, we develop a Bayesian nonparametric model, the Normalised…

Methodology · Statistics 2026-04-28 Ziyou Wang , Jim Griffin , Maria Kalli

Dirichlet Process Mixture Models (DPMMs) are widely used to address clustering problems. Their main advantage lies in their ability to automatically estimate the number of clusters during the inference process through the Bayesian…

Machine Learning · Statistics 2023-12-19 Reda Khoufache , Mustapha Lebbah , Hanene Azzag , Etienne Goffinet , Djamel Bouchaffra

This paper presents the machine learning-based ensemble conditional mean filter (ML-EnCMF) -- a filtering method based on the conditional mean filter (CMF) previously introduced in the literature. The updated mean of the CMF matches that of…

Machine Learning · Computer Science 2022-08-02 Truong-Vinh Hoang , Sebastian Krumscheid , Hermann G. Matthies , Raúl Tempone

Normalizing flow (NF) has gained popularity over traditional maximum likelihood based methods due to its strong capability to model complex data distributions. However, the standard approach, which maps the observed data to a normal…

Machine Learning · Computer Science 2022-11-22 Hanze Dong , Shizhe Diao , Weizhong Zhang , Tong Zhang

We consider the least-squares regression problem and provide a detailed asymptotic analysis of the performance of averaged constant-step-size stochastic gradient descent (a.k.a. least-mean-squares). In the strongly-convex case, we provide…

Machine Learning · Computer Science 2014-12-02 Alexandre Défossez , Francis Bach

Markov chain Monte Carlo (MCMC) is a commonly used method for approximating expectations with respect to probability distributions. Uncertainty assessment for MCMC estimators is essential in practical applications. Moreover, for…

Methodology · Statistics 2024-09-04 Hyebin Song , Stephen Berg

Employing Bayesian inference to calibrate constitutive model parameters has grown substantially in recent years. Among the available techniques, Markov Chain Monte Carlo (MCMC) sampling remains one of the most widely used approaches for…

Computational Engineering, Finance, and Science · Computer Science 2026-04-02 Aricia Rinkens , Rodrigo L. S. Silva , Erik Quaeghebeur , Nick Jaensson , Clemens Verhoosel

This work develops robust diffusion recursive least squares algorithms to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. The first algorithm minimizes an exponentially…

Machine Learning · Computer Science 2019-02-05 Y. Yu , H. Zhao , R. C. de Lamare , Y. Zakharov , L. Lu

In this technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems. The stochastic uncertainty is assumed to enter multiplicatively in system dynamics through input and output…

Optimization and Control · Mathematics 2018-02-09 Sai Pushpak , Amit Diwadkar , Umesh Vaidya

Normalizing Flows (NF) are powerful generative models with increasing applications in augmenting Monte Carlo algorithms due to their high flexibility and expressiveness. In this work we explore the integration of NF in Diagrammatic Monte…

Strongly Correlated Electrons · Physics 2024-07-10 Luca Leoni , Cesare Franchini

Modern analysis on parton distribution functions (PDFs) requires calculations of the log-likelihood functions from thousands of experimental data points, and scans of multi-dimensional parameter space with tens of degrees of freedom. In…

High Energy Physics - Phenomenology · Physics 2022-08-24 DianYu Liu , ChuanLe Sun , Jun Gao

Supervised convolutional neural networks (CNNs) are widely used to solve imaging inverse problems, achieving state-of-the-art performance in numerous applications. However, despite their empirical success, these methods are poorly…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Minh Hai Nguyen , Quoc Bao Do , Edouard Pauwels , Pierre Weiss

Partial diffusion-based recursive least squares (PDRLS) is an effective method for reducing computational load and power consumption in adaptive network implementation. In this method, each node shares a part of its intermediate estimate…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-20 Vahid Vahidpour , Amir Rastegarnia , Azam Khalili , Saeid Sanei

In this work, we revisit the problem of estimating the mean and covariance of an unknown $d$-dimensional Gaussian distribution in the presence of an $\varepsilon$-fraction of adversarial outliers. The pioneering work of [DKK+16] gave a…

Data Structures and Algorithms · Computer Science 2021-10-25 Pravesh K. Kothari , Peter Manohar , Brian Hu Zhang

We establish convergence results for a spatial semidiscretization of Mean Curvature Flow (MCF) for surfaces with fixed boundaries. Our analysis is based on Huisken's evolution equations for the mean curvature and the normal vector, enabling…

Numerical Analysis · Mathematics 2025-04-29 Bárbara Solange Ivaniszyn , Pedro Morin , M. Sebastián Pauletti

In recent work, we studied the problem of causally reconstructing time sequences of spatially sparse signals, with unknown and slow time-varying sparsity patterns, from a limited number of linear "incoherent" measurements. We proposed a…

Information Theory · Computer Science 2016-11-17 Namrata Vaswani

Sequential Bayesian Filtering aims to estimate the current state distribution of a Hidden Markov Model, given the past observations. The problem is well-known to be intractable for most application domains, except in notable cases such as…

Machine Learning · Statistics 2024-02-16 Théophile Cantelobre , Carlo Ciliberto , Benjamin Guedj , Alessandro Rudi
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