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In this paper a novel stochastic optimization and extremum seeking algorithm is presented, one which is based on time-delayed random perturbations and step size adaptation. For the case of a one-dimensional quadratic unconstrained…

Optimization and Control · Mathematics 2024-10-29 Naum Dimitrieski , Michael Reyer , Mohamed-Ali Belabbas , Christian Ebenbauer

Time series data are often corrupted by outliers or other kinds of anomalies. Identifying the anomalous points can be a goal on its own (anomaly detection), or a means to improving performance of other time series tasks (e.g. forecasting).…

Machine Learning · Computer Science 2021-12-30 François-Xavier Aubet , Daniel Zügner , Jan Gasthaus

We present an inference scheme of long timescale, non-exponential kinetics from Molecular Dynamics simulations accelerated by stochastic resetting. Standard simulations provide valuable insight into chemical processes but are limited to…

Chemical Physics · Physics 2024-10-15 Ofir Blumer , Shlomi Reuveni , Barak Hirshberg

In this contribution, we propose a generic online (also sometimes called adaptive or recursive) version of the Expectation-Maximisation (EM) algorithm applicable to latent variable models of independent observations. Compared to the…

Computation · Statistics 2017-03-02 Olivier Cappé , Eric Moulines

A large fraction of data generated via human activities such as online purchases, health records, spatial mobility etc. can be represented as a sequence of events over a continuous-time. Learning deep learning models over these…

Machine Learning · Computer Science 2022-08-29 Vinayak Gupta , Srikanta Bedathur , Sourangshu Bhattacharya , Abir De

The goal of branch length estimation in phylogenetic inference is to estimate the divergence time between a set of sequences based on compositional differences between them. A number of software is currently available facilitating branch…

Populations and Evolution · Quantitative Biology 2012-07-06 Ania Kedzierska , Marta Casanellas

Estimating the Individual Treatment Effect from observational data, defined as the difference between outcomes with and without treatment or intervention, while observing just one of both, is a challenging problems in causal learning. In…

Machine Learning · Computer Science 2020-05-07 Céline Beji , Michaël Bon , Florian Yger , Jamal Atif

This paper deals with the problem of clustering data returned by a radar sensor network that monitors a region where multiple moving targets are present. The network is formed by nodes with limited functionalities that transmit the…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Linjie Yan , Pia Addabbo , Nicomino Fiscante , Carmine Clemente , Chengpeng Hao , Gaetano Giunta , Danilo Orlando

(Neal and Hinton, 1998) recast maximum likelihood estimation of any given latent variable model as the minimization of a free energy functional $F$, and the EM algorithm as coordinate descent applied to $F$. Here, we explore alternative…

Computation · Statistics 2023-02-21 Juan Kuntz , Jen Ning Lim , Adam M. Johansen

We show how the expectation-maximization (EM) algorithm can be applied exactly for the fitting of mixtures of general multivariate skew t (MST) distributions, eliminating the need for computationally expensive Monte Carlo estimation. Finite…

Methodology · Statistics 2012-09-06 S. X. Lee , G. J. McLachlan

This paper deals with non-observed dyads during the sampling of a network and consecutive issues in the inference of the Stochastic Block Model (SBM). We review sampling designs and recover Missing At Random (MAR) and Not Missing At Random…

Methodology · Statistics 2019-01-10 Timothée Tabouy , Pierre Barbillon , Julien Chiquet

Many retailers today employ inventory management systems based on Re-Order Point Policies, most of which rely on the assumption that all decreases in product inventory levels result from product sales. Unfortunately, it usually happens that…

Machine Learning · Statistics 2016-04-06 Luis I. Reyes-Castro , Andres G. Abad

A non linear regression approach which consists of a specific regression model incorporating a latent process, allowing various polynomial regression models to be activated preferentially and smoothly, is introduced in this paper. The model…

Statistics Theory · Mathematics 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

We study the trajectory of iterations and the convergence rates of the Expectation-Maximization (EM) algorithm for two-component Mixed Linear Regression (2MLR). The fundamental goal of MLR is to learn the regression models from unlabeled…

Machine Learning · Computer Science 2024-06-05 Zhankun Luo , Abolfazl Hashemi

A novel approach to perform unsupervised sequential learning for functional data is proposed. Our goal is to extract reference shapes (referred to as templates) from noisy, deformed and censored realizations of curves and images. Our model…

Methodology · Statistics 2016-04-05 Florian Maire , Eric Moulines , Sidonie Lefebvre

Finite mixture models are among the most popular statistical models used in different data science disciplines. Despite their broad applicability, inference under these models typically leads to computationally challenging non-convex…

Machine Learning · Computer Science 2018-09-25 Babak Barazandeh , Meisam Razaviyayn

The combination of new recording techniques in neuroscience and powerful inference methods recently held the promise to recover useful effective models, at the single neuron or network level, directly from observed data. The value of a…

Neurons and Cognition · Quantitative Biology 2018-04-09 Cristiano Capone , Guido Gigante , Paolo Del Giudice

In this work, we present an extension to the context of Stochastic Reaction Networks (SRNs) of the forward-reverse representation introduced in "Simulation of forward-reverse stochastic representations for conditional diffusions", a 2014…

Numerical Analysis · Mathematics 2015-04-17 Christian Bayer , Alvaro Moraes , Raul Tempone , Pedro Vilanova

We present a method for enhanced sampling of molecular dynamics simulations using stochastic resetting. Various phenomena, ranging from crystal nucleation to protein folding, occur on timescales that are unreachable in standard simulations.…

Chemical Physics · Physics 2023-02-09 Ofir Blumer , Shlomi Reuveni , Barak Hirshberg

We derive an efficient stochastic algorithm for inverse problems that present an unknown linear forcing term and a set of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of the problem is…

Numerical Analysis · Mathematics 2019-09-17 Darko Volkov
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