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The increasing size of data sets has lead to variable selection in regression becoming increasingly important. Bayesian approaches are attractive since they allow uncertainty about the choice of variables to be formally included in the…

Computation · Statistics 2014-12-30 Jim Griffin , Krzysztof Latuszynski , Mark Steel

We introduce the technique of adaptive discretization to design an efficient model-based episodic reinforcement learning algorithm in large (potentially continuous) state-action spaces. Our algorithm is based on optimistic one-step value…

Machine Learning · Computer Science 2020-10-26 Sean R. Sinclair , Tianyu Wang , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

Sampling-based motion planning under task constraints is challenging because the null-measure constraint manifold in the configuration space makes rejection sampling extremely inefficient, if not impossible. This paper presents a…

Robotics · Computer Science 2022-04-15 Cihan Acar , Keng Peng Tee

In this article we consider an optimization problem where the objective function is evaluated at the fixed-point of a contraction mapping parameterized by a control variable, and optimization takes place over this control variable. Since…

Optimization and Control · Mathematics 2020-05-04 Thomas Flynn

This article describes a full Bayesian treatment for simultaneous fixed-effect selection and parameter estimation in high-dimensional generalized linear mixed models. The approach consists of using a Bayesian adaptive Lasso penalty for…

Methodology · Statistics 2016-08-31 Dao Thanh Tung , Minh-Ngoc Tran , Tran Manh Cuong

Based on neural network and adaptive subspace approximation method, we propose a new machine learning method for solving partial differential equations. The neural network is adopted to build the basis of the finite dimensional subspace.…

Numerical Analysis · Mathematics 2024-12-04 Zhongshuo Lin , Yifan Wang , Hehu Xie

Bayesian mixture models are widely applied for unsupervised learning and exploratory data analysis. Markov chain Monte Carlo based on Gibbs sampling and split-merge moves are widely used for inference in these models. However, both methods…

Machine Learning · Statistics 2014-06-03 Tue Herlau , Morten Mørup , Yee Whye Teh , Mikkel N. Schmidt

It has been shown that cooperative coevolution (CC) can effectively deal with large scale optimization problems (LSOPs) through a divide-and-conquer strategy. However, its performance is severely restricted by the current…

Neural and Evolutionary Computing · Computer Science 2018-03-05 Bei Pang , Zhigang Ren , Yongsheng Liang , An Chen

We propose a scalable method for computing global solutions of nonlinear, high-dimensional dynamic stochastic economic models. First, within a time iteration framework, we approximate economic policy functions using an adaptive,…

General Economics · Economics 2022-02-15 Aryan Eftekhari , Simon Scheidegger

Bayesian approaches have been successfully integrated into training deep neural networks. One popular family is stochastic gradient Markov chain Monte Carlo methods (SG-MCMC), which have gained increasing interest due to their scalability…

Numerical Analysis · Mathematics 2021-03-17 Yating Wang , Wei Deng , Guang Lin

This paper studies the performative policy learning problem, where agents adjust their features in response to a released policy to improve their potential outcomes, inducing an endogenous distribution shift. There has been growing interest…

Machine Learning · Computer Science 2025-02-25 Qianyi Chen , Ying Chen , Bo Li

A new gradient-based adaptive sampling method is proposed for design of experiments applications which balances space filling, local refinement, and error minimization objectives while reducing reliance on delicate tuning parameters. High…

Methodology · Statistics 2024-05-09 Lucas Caparini , Gwynn J. Elfring , Mauricio Ponga

Recently, fitting probabilistic models have gained importance in many areas but estimation of such distributional models with very large data sets is a difficult task. In particular, the use of rather complex models can easily lead to…

In this paper we propose new approaches to estimating large dimensional monotone index models. This class of models has been popular in the applied and theoretical econometrics literatures as it includes discrete choice, nonparametric…

Econometrics · Economics 2023-02-22 Shakeeb Khan , Xiaoying Lan , Elie Tamer , Qingsong Yao

An efficient method, preconditioned conjugate gradient method with a filtering function (PCG-F), is proposed for solving iteratively the Dirac equation in 3D lattice space for nuclear systems. The filtering function is adopted to avoid the…

Nuclear Theory · Physics 2020-10-14 B. Li , Z. X. Ren , P. W. Zhao

The problem is considered of optimizing discrete parameters in the presence of constraints. We use the stochastic sigmoid with temperature and put forward the new adaptive gradient method CONGA. The search for an optimal solution is carried…

Optimization and Control · Mathematics 2024-01-17 Andrei Beinarovich , Sergey Stepanov , Alexander Zaslavsky

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

In contemporary control theory, self-adaptive methodologies are highly esteemed for their inherent flexibility and robustness in managing modeling uncertainties. Particularly, robust adaptive control stands out owing to its potent…

Robotics · Computer Science 2024-07-19 Ye Zhang , Kangtong Mo , Fangzhou Shen , Xuanzhen Xu , Xingyu Zhang , Jiayue Yu , Chang Yu

We propose a novel adaptive approximation approach for test-time resource-constrained prediction. Given an input instance at test-time, a gating function identifies a prediction model for the input among a collection of models. Our…

Machine Learning · Statistics 2017-05-30 Feng Nan , Venkatesh Saligrama

This Paper conducts a thorough simulation study to assess the effectiveness of various acceleration techniques designed to enhance the conjugate gradient algorithm, which is used for solving large linear systems to accelerate Bayesian…

Computation · Statistics 2025-05-06 Zhihao Zhou
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