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In recent years, a large amount of multi-disciplinary research has been conducted on sparse models and their applications. In statistics and machine learning, the sparsity principle is used to perform model selection---that is,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-09 Julien Mairal , Francis Bach , Jean Ponce

In-network distributed estimation of sparse parameter vectors via diffusion LMS strategies has been studied and investigated in recent years. In all the existing works, some convex regularization approach has been used at each node of the…

Machine Learning · Computer Science 2016-11-15 Bijit Kumar Das , Mrityunjoy Chakraborty , Jerónimo Arenas-García

This paper studies offline reinforcement learning with linear function approximation in a setting with decision-theoretic, but not estimation sparsity. The structural restrictions of the data-generating process presume that the transitions…

Machine Learning · Statistics 2024-01-24 Angela Zhou

In this paper, we propose a novel sequential data-driven method for dealing with equilibrium based chemical simulations, which can be seen as a specific machine learning approach called active learning. The underlying idea of our approach…

Machine Learning · Statistics 2024-01-26 Mary Savino , Céline Lévy-Leduc , Marc Leconte , Benoit Cochepin

The adoption of detailed mechanisms for chemical kinetics often poses two types of severe challenges: First, the number of degrees of freedom is large; and second, the dynamics is characterized by widely disparate time scales. As a result,…

Dynamical Systems · Mathematics 2025-10-01 Eliodoro Chiavazzo , C. William Gear , Carmeline J. Dsilva , Neta Rabin , Ioannis G. Kevrekidis

Steady state is an essential concept in reaction networks. Its stability reflects fundamental characteristics of several biological phenomena such as cellular signal transduction and gene expression. Because biochemical reactions occur at…

Molecular Networks · Quantitative Biology 2019-04-19 Tan Van Vu , Yoshihiko Hasegawa

Sparse coding networks, which utilize unsupervised learning to maximize coding efficiency, have successfully reproduced response properties found in primary visual cortex \cite{AN:OlshausenField96}. However, conventional sparse coding…

Neurons and Cognition · Quantitative Biology 2011-05-25 William K. Coulter , Christopher J. Hillar , Friedrich T. Sommer

Chemical reaction network theory is a field of applied mathematics concerned with modeling chemical systems, and can be used in other contexts such as in systems biology to study cellular signaling pathways or epidemiology to study the…

Algebraic Geometry · Mathematics 2024-06-17 Maize Curiel , Elise Farr , Galileo Fries , Luis David García Puente , Julian Hutchins , Vuong Nguyen Hoang

It is now well established that sparse signal models are well suited to restoration tasks and can effectively be learned from audio, image, and video data. Recent research has been aimed at learning discriminative sparse models instead of…

Computer Vision and Pattern Recognition · Computer Science 2009-09-29 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro , Andrew Zisserman

This paper presents Sparse Partitioning, a Bayesian method for identifying predictors that either individually or in combination with others affect a response variable. The method is designed for regression problems involving binary or…

Quantitative Methods · Quantitative Biology 2011-08-31 Doug Speed , Simon Tavaré

We propose a framework for the joint inference of network topology, multi-type interaction kernels, and latent type assignments in heterogeneous interacting particle systems from multi-trajectory data. This learning task is a challenging…

Machine Learning · Statistics 2026-02-05 Quanjun Lang , Xiong Wang , Fei Lu , Mauro Maggioni

Reliability on complex biological networks reconstructions remains a concern. Although observations are getting more and more precise, the data collection process is yet error prone and the proofs display uneven certitude. In the case of…

Molecular Networks · Quantitative Biology 2010-08-20 M. Ángeles Serrano , Francesc Sagués

Stochastic modeling and simulation provide powerful predictive methods for the intrinsic understanding of fundamental mechanisms in complex biochemical networks. Typically, such mathematical models involve networks of coupled jump…

Information Theory · Computer Science 2013-08-02 Yannis Pantazis , Markos A. Katsoulakis , Dionisios G. Vlachos

Sequential experimental design to discover interventions that achieve a desired outcome is a key problem in various domains including science, engineering and public policy. When the space of possible interventions is large, making an…

Machine Learning · Computer Science 2023-08-17 Jiaqi Zhang , Louis Cammarata , Chandler Squires , Themistoklis P. Sapsis , Caroline Uhler

The growing demand for robots to operate effectively in diverse environments necessitates the need for robust real-time anomaly detection techniques during robotic operations. However, deep learning-based models in robotics face significant…

Robotics · Computer Science 2025-06-24 Taewook Kang , Bum-Jae You , Juyoun Park , Yisoo Lee

This paper presents novel cascaded channel estimation techniques for an intelligent reflecting surface-aided multiple-input multiple-output system. Motivated by the channel angular sparsity at higher frequency bands, the channel estimation…

Signal Processing · Electrical Eng. & Systems 2023-10-17 Yanbin He , Geethu Joseph

Many machine learning tasks such as multiple instance learning, 3D shape recognition, and few-shot image classification are defined on sets of instances. Since solutions to such problems do not depend on the order of elements of the set,…

Machine Learning · Computer Science 2019-05-28 Juho Lee , Yoonho Lee , Jungtaek Kim , Adam R. Kosiorek , Seungjin Choi , Yee Whye Teh

Sparse regression on a library of candidate features has developed as the prime method to discover the partial differential equation underlying a spatio-temporal data-set. These features consist of higher order derivatives, limiting model…

Machine Learning · Computer Science 2021-05-05 Gert-Jan Both , Gijs Vermarien , Remy Kusters

Moment dynamics in stochastic chemical kinetics often involve an infinite chain of coupled equations, where lower-order moments depend on higher-order ones, making them analytically intractable. Moment bounding via semidefinite programming…

Optimization and Control · Mathematics 2026-04-07 Tomoki Sadatoshi , Antonis Papachristodoulou , Yutaka Hori

Chemical reaction prediction remains a fundamental challenge in organic chemistry, where existing machine learning models face two critical limitations: sensitivity to input permutations (molecule/atom orderings) and inadequate modeling of…

Machine Learning · Computer Science 2026-02-03 Runhan Shi , Letian Chen , Gufeng Yu , Yang Yang
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