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This paper proposes a novel method of algorithmic subsampling (data sketching) for multiway cluster dependent data. We establish a new uniform weak law of large numbers and a new central limit theorem for the multiway algorithmic subsample…

计量经济学 · 经济学 2025-01-15 Harold D. Chiang , Jiatong Li , Yuya Sasaki

The integration of data from multiple sources is increasingly used to achieve larger sample sizes and enhance population diversity. Our previous work established that, under random sampling from the same underlying population, integrating…

统计方法学 · 统计学 2026-01-01 Farimah Shamsi , Andriy Derkach

Sample-based learning model predictive control (LMPC) strategies have recently attracted attention due to their desirable theoretical properties and their good empirical performance on robotic tasks. However, prior analysis of LMPC…

系统与控制 · 电气工程与系统科学 2020-05-19 Brijen Thananjeyan , Ashwin Balakrishna , Ugo Rosolia , Joseph E. Gonzalez , Aaron Ames , Ken Goldberg

We present a new Subset Simulation approach using Hamiltonian neural network-based Monte Carlo sampling for reliability analysis. The proposed strategy combines the superior sampling of the Hamiltonian Monte Carlo method with…

Robust control design for quantum systems has been recognized as a key task in the development of practical quantum technology. In this paper, we present a systematic numerical methodology of sampling-based learning control (SLC) for…

量子物理 · 物理学 2016-03-29 Daoyi Dong , Mohamed A. Mabrok , Ian R. Petersen , Bo Qi , Chunlin Chen , Herschel Rabitz

Approximate Bayesian Computation (ABC) is a powerful method for carrying out Bayesian inference when the likelihood is computationally intractable. However, a drawback of ABC is that it is an approximate method that induces a systematic…

统计方法学 · 统计学 2015-09-29 Minh Ngoc Tran , Robert Kohn

As uncertainty and sensitivity analysis of complex models grows ever more important, the difficulty of their timely realizations highlights a need for more efficient numerical operations. Non-intrusive Polynomial Chaos methods are highly…

数值分析 · 数学 2022-04-14 Konstantin Weise , Erik Müller , Lucas Poßner , Thomas R. Knösche

This paper presents a distributed stochastic model predictive control (SMPC) approach for large-scale linear systems with private and common uncertainties in a plug-and-play framework. Using the so-called scenario approach, the centralized…

最优化与控制 · 数学 2019-01-09 V. Rostampour , T. Keviczky

Accurate simulation of complex physical systems enables the development, testing, and certification of control strategies before they are deployed into the real systems. As simulators become more advanced, the analytical tractability of the…

机器人学 · 计算机科学 2020-05-27 Lucas Barcelos , Rafael Oliveira , Rafael Possas , Lionel Ott , Fabio Ramos

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

We propose a general and scalable approximate sampling strategy for probabilistic models with discrete variables. Our approach uses gradients of the likelihood function with respect to its discrete inputs to propose updates in a…

机器学习 · 计算机科学 2021-06-08 Will Grathwohl , Kevin Swersky , Milad Hashemi , David Duvenaud , Chris J. Maddison

Stochastic finite automata arise naturally in many language and speech processing tasks. They include stochastic acceptors, which represent certain probability distributions over random strings. We consider the problem of efficient…

计算与语言 · 计算机科学 2019-09-24 Martin Jansche , Alexander Gutkin

This work aims to improve the sample efficiency of parallel large-scale ranking and selection (R&S) problems by leveraging correlation information. We modify the commonly used "divide and conquer" framework in parallel computing by adding a…

统计方法学 · 统计学 2026-02-16 Zishi Zhang , Yijie Peng

Anomaly detection when observing a large number of data streams is essential in a variety of applications, ranging from epidemiological studies to monitoring of complex systems. High-dimensional scenarios are usually tackled with…

统计方法学 · 统计学 2025-12-18 Ivo V. Stoepker , Rui M. Castro , Ery Arias-Castro , Edwin van den Heuvel

Imitation learning has enabled robots to perform complex, long-horizon tasks in challenging dexterous manipulation settings. As new methods are developed, they must be rigorously evaluated and compared against corresponding baselines…

Animal movement studies have become ubiquitous in animal ecology for estimation of space use and analysis of movement behavior. In these studies, animal movement data are primarily collected at regular time intervals. We propose an…

应用统计 · 统计学 2019-11-13 Elizabeth Eisenhauer , Ephraim Hanks

In certain situations that shall be undoubtedly more and more common in the Big Data era, the datasets available are so massive that computing statistics over the full sample is hardly feasible, if not unfeasible. A natural approach in this…

机器学习 · 统计学 2015-01-12 Stéphan Clémençon , Patrice Bertail , Emilie Chautru , Guillaume Papa

Estimating reliable geometric model parameters from the data with severe outliers is a fundamental and important task in computer vision. This paper attempts to sample high-quality subsets and select model instances to estimate parameters…

计算机视觉与模式识别 · 计算机科学 2024-03-12 Guobao Xiao , Jun Yu , Jiayi Ma , Deng-Ping Fan , Ling Shao

Optimization algorithms and Monte Carlo sampling algorithms have provided the computational foundations for the rapid growth in applications of statistical machine learning in recent years. There is, however, limited theoretical…

机器学习 · 统计学 2022-06-08 Yi-An Ma , Yuansi Chen , Chi Jin , Nicolas Flammarion , Michael I. Jordan

A Learning Model Predictive Controller (LMPC) for linear system in presented. The proposed controller is an extension of the LMPC [1] and it aims to decrease the computational burden. The control scheme is reference-free and is able to…

最优化与控制 · 数学 2019-10-31 Ugo Rosolia , Francesco Borrelli
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