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We present a numerical method for convergence acceleration for multifidelity models of parameterized ordinary differential equations. The hierarchy of models is defined as trajectories computed using different timesteps in a time…

数值分析 · 数学 2018-08-13 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

In this article, we introduce parallel-in-time methods for state and parameter estimation in general nonlinear non-Gaussian state-space models using the statistical linear regression and the iterated statistical posterior linearization…

统计计算 · 统计学 2023-04-06 Fatemeh Yaghoobi , Adrien Corenflos , Sakira Hassan , Simo Särkkä

We introduce a new sequential methodology to calibrate the fixed parameters and track the stochastic dynamical variables of a state-space system. The proposed method is based on the nested hybrid filtering (NHF) framework of [1], that…

统计计算 · 统计学 2021-03-24 Sara Pérez-Vieites , Joaquín Míguez

We study clustered multitask learning in a semiparametric setting where tasks share a latent cluster structure in their target parameters but exhibit heterogeneous, potentially infinite-dimensional nuisance components. Such heterogeneity…

机器学习 · 统计学 2026-05-05 Hanxiao Chen , Debarghya Mukherjee

We present a distributed (non-Bayesian) learning algorithm for the problem of parameter estimation with Gaussian noise. The algorithm is expressed as explicit updates on the parameters of the Gaussian beliefs (i.e. means and precision). We…

最优化与控制 · 数学 2016-12-08 Angelia Nedić , Alex Olshevsky , César A. Uribe

An efficient numerical algorithm is presented for massively parallel simulations of dispersion-managed wavelength-division-multiplexed optical fiber systems. The algorithm is based on a weak nonlinearity approximation and independent…

斑图形成与孤子 · 物理学 2009-11-07 P. M. Lushnikov

We consider learning problems over training sets in which both, the number of training examples and the dimension of the feature vectors, are large. To solve these problems we propose the random parallel stochastic algorithm (RAPSA). We…

机器学习 · 计算机科学 2016-06-17 Aryan Mokhtari , Alec Koppel , Alejandro Ribeiro

We describe an adaptation of the simulated annealing algorithm to nonparametric clustering and related probabilistic models. This new algorithm learns nonparametric latent structure over a growing and constantly churning subsample of…

机器学习 · 统计学 2019-10-25 Fritz Obermeyer , Jonathan Glidden , Eric Jonas

We present a parallelized primal-dual algorithm for solving constrained convex optimization problems. The algorithm is "block-based," in that vectors of primal and dual variables are partitioned into blocks, each of which is updated only by…

最优化与控制 · 数学 2022-05-04 Katherine Hendrickson , Matthew Hale

We present a parallelized primal-dual algorithm for solving constrained convex optimization problems. The algorithm is "block-based," in that vectors of primal and dual variables are partitioned into blocks, each of which is updated only by…

最优化与控制 · 数学 2020-09-01 Katherine Hendrickson , Matthew Hale

Simulations of chaotic systems can only produce high-fidelity trajectories if the initial and boundary conditions are well specified. When these conditions are unknown but measurements are available, variational state estimation can…

动力系统 · 数学 2026-05-29 Noah B. Frank , Joshua L. Pughe-Sanford , Samuel J. Grauer

We present a hybrid continuum-atomistic scheme which combines molecular dynamics (MD) simulations with on-the-fly machine learning techniques for the accurate and efficient prediction of multiscale fluidic systems. By using a Gaussian…

流体动力学 · 物理学 2016-03-16 David Stephenson , James R Kermode , Duncan A Lockerby

In this paper, we address the problem of simultaneous classification and estimation of hidden parameters in a sensor network with communications constraints. In particular, we consider a network of noisy sensors which measure a common…

多智能体系统 · 计算机科学 2012-06-19 Fabio Fagnani , Sophie M. Fosson , Chiara Ravazzi

We analyse the performance of a recursive Monte Carlo method for the Bayesian estimation of the static parameters of a discrete--time state--space Markov model. The algorithm employs two layers of particle filters to approximate the…

统计计算 · 统计学 2016-03-31 Dan Crisan , Joaquin Miguez

In this work, we present a methodology that enables an agent to make efficient use of its exploratory actions by autonomously identifying possible objectives in its environment and learning them in parallel. The identification of objectives…

人工智能 · 计算机科学 2019-01-11 Thommen George Karimpanal , Erik Wilhelm

We propose a multi-level method to increase the accuracy of machine learning algorithms for approximating observables in scientific computing, particularly those that arise in systems modeled by differential equations. The algorithm relies…

数值分析 · 数学 2020-07-06 Kjetil O. Lye , Siddhartha Mishra , Roberto Molinaro

Discrete variational methods show excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative procedure for the solution of discrete variational equations for boundary value…

Inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight, furnishing accurate predictions, enabling robust control, and establishing appropriate designs for future…

统计方法学 · 统计学 2018-02-06 M. Chung , M. Binois , R. B. Gramacy , D. J. Moquin , A. P. Smith , A. M. Smith

This article addresses the challenge of adapting data-based models over time. We propose a novel two-fold modelling architecture designed to correct plant-model mismatch caused by two types of uncertainty. Out-of-domain uncertainty arises…

系统与控制 · 电气工程与系统科学 2025-07-17 Laura Boca de Giuli , Alessio La Bella , Riccardo Scattolini

This paper describes a novel method to solve average-reward semi-Markov decision processes, by reducing them to a minimal sequence of cumulative reward problems. The usual solution methods for this type of problems update the gain (optimal…

机器学习 · 计算机科学 2015-04-21 Reinaldo Uribe Muriel , Fernando Lozando , Charles Anderson