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We propose an adaptive optimisation approach for tuning stochastic model predictive control (MPC) hyper-parameters while jointly estimating probability distributions of the transition model parameters based on performance rewards. In…

机器人学 · 计算机科学 2022-06-02 Rel Guzman , Rafael Oliveira , Fabio Ramos

In this article we consider the nonparametric robust estimation problem for regression models in continuous time with semi-Markov noises observed in discrete time moments. An adaptive model selection procedure is proposed. A sharp…

统计理论 · 数学 2020-05-15 Vlad Stefan Barbu , Slim Beltaief , Serguei Pergamenshchikov

Sparse regression and variable selection for large-scale data have been rapidly developed in the past decades. This work focuses on sparse ridge regression, which enforces the sparsity by use of the L0 norm. We first prove that the…

统计计算 · 统计学 2020-06-30 Weijun Xie , Xinwei Deng

Bayesian Optimization (BO) is a sample-efficient optimization algorithm widely employed across various applications. In some challenging BO tasks, input uncertainty arises due to the inevitable randomness in the optimization process, such…

机器学习 · 计算机科学 2023-11-07 Lin Yang , Junlong Lyu , Wenlong Lyu , Zhitang Chen

We consider the problem of robust and adaptive model predictive control (MPC) of a linear system, with unknown parameters that are learned along the way (adaptive), in a critical setting where failures must be prevented (robust). This…

机器学习 · 计算机科学 2020-10-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

We adopt and expand McDonald's (2011) regression framework for measurement precision, integrating two key perspectives: (a) reliability of observed scores and (b) optimal prediction of latent scores. Reliability arises from a measurement…

统计方法学 · 统计学 2025-06-23 Yang Liu , Jolynn Pek , Alberto Maydeu-Olivares

Although the known maximum total generalized correntropy (MTGC) and generalized maximum blakezisserman total correntropy (GMBZTC) algorithms can maintain good performance under the errors-in-variables (EIV) model disrupted by generalized…

信号处理 · 电气工程与系统科学 2024-05-22 Haiquan Zhao , Yi Peng , Zian Cao

RANSAC-based algorithms are the standard techniques for robust estimation in computer vision. These algorithms are iterative and computationally expensive; they alternate between random sampling of data, computing hypotheses, and running…

计算机视觉与模式识别 · 计算机科学 2023-09-27 Valter Piedade , Pedro Miraldo

We explore algorithms and limitations for sparse optimization problems such as sparse linear regression and robust linear regression. The goal of the sparse linear regression problem is to identify a small number of key features, while the…

机器学习 · 计算机科学 2022-06-30 Eric Price , Sandeep Silwal , Samson Zhou

Understanding decisions made by neural networks is key for the deployment of intelligent systems in real world applications. However, the opaque decision making process of these systems is a disadvantage where interpretability is essential.…

机器学习 · 计算机科学 2023-04-12 Kai Fischer , Jonas Schneider

Training deep reinforcement learning (RL) agents necessitates overcoming the highly unstable nonconvex stochastic optimization inherent in the trial-and-error mechanism. To tackle this challenge, we propose a physics-inspired optimization…

机器学习 · 计算机科学 2024-12-10 Yao Lyu , Xiangteng Zhang , Shengbo Eben Li , Jingliang Duan , Letian Tao , Qing Xu , Lei He , Keqiang Li

We study a family of loss functions named label-distributionally robust (LDR) losses for multi-class classification that are formulated from distributionally robust optimization (DRO) perspective, where the uncertainty in the given label…

机器学习 · 计算机科学 2023-06-29 Dixian Zhu , Yiming Ying , Tianbao Yang

In this paper we propose an output-feedback Model Predictive Control (MPC) algorithm for linear discrete-time systems affected by a possibly unbounded additive noise and subject to probabilistic constraints. In case the noise distribution…

系统与控制 · 计算机科学 2014-08-29 Marcello Farina , Luca Giulioni , Lalo Magni , Riccardo Scattolini

As an efficient algorithm to solve the multi-view registration problem,the motion averaging (MA) algorithm has been extensively studied and many MA-based algorithms have been introduced. They aim at recovering global motions from relative…

计算机视觉与模式识别 · 计算机科学 2022-08-25 Yugeng Huang , Haitao Liu , Tian Huang

In this paper we study how the choice of loss functions of non-convex optimization problems affects their robustness and optimization landscape, through the study of noisy matrix sensing. In traditional regression tasks, mean squared error…

机器学习 · 计算机科学 2026-01-06 Xinyuan Song , Ziye Ma

We propose a robust variable selection procedure using a divergence based M-estimator combined with a penalty function. It produces robust estimates of the regression parameters and simultaneously selects the important explanatory…

统计方法学 · 统计学 2020-01-01 Abhijit Mandal , Samiran Ghosh

We study the trade-offs between convergence rate and robustness to gradient errors in designing a first-order algorithm. We focus on gradient descent (GD) and accelerated gradient (AG) methods for minimizing strongly convex functions when…

最优化与控制 · 数学 2019-11-07 Necdet Serhat Aybat , Alireza Fallah , Mert Gurbuzbalaban , Asuman Ozdaglar

Robustness is a fundamental pillar of Machine Learning (ML) classifiers, substantially determining their reliability. Methods for assessing classifier robustness are therefore essential. In this work, we address the challenge of evaluating…

机器学习 · 计算机科学 2026-01-19 Georg Siedel , Silvia Vock , Andrey Morozov , Stefan Voß

In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

系统与控制 · 电气工程与系统科学 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

A robust and sparse estimator for multinomial regression is proposed for high dimensional data. Robustness of the estimator is achieved by trimming the observations, and sparsity of the estimator is obtained by the elastic net penalty,…

统计方法学 · 统计学 2022-05-25 Fatma Sevinç Kurnaz , Peter Filzmoser