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Linear mixed-effects models are widely used in analyzing clustered or repeated measures data. We propose a quasi-likelihood approach for estimation and inference of the unknown parameters in linear mixed-effects models with high-dimensional…

统计方法学 · 统计学 2021-03-10 Sai Li , Tony T. Cai , Hongzhe Li

Inverse reinforcement learning (IRL) is a common technique for inferring human preferences from data. Standard IRL techniques tend to assume that the human demonstrator is stationary, that is that their policy $\pi$ doesn't change over…

机器学习 · 计算机科学 2020-12-02 Harry Giles , Lawrence Chan

This article introduces an imitation learning method for learning maximum entropy policies that comply with constraints demonstrated by expert trajectories executing a task. The formulation of the method takes advantage of results…

机器学习 · 计算机科学 2025-07-10 George Papadopoulos , George A. Vouros

We present an online-adaptive hyperreduced reduced basis element method for model order reduction of parameterized, component-based nonlinear systems. The method, in the offline phase, prepares a library of hyperreduced archetype components…

数值分析 · 数学 2025-08-27 Mehran Ebrahimi , Masayuki Yano

Despite decades of research and recent progress in adaptive control and reinforcement learning, there remains a fundamental lack of understanding in designing controllers that provide robustness to inherent non-asymptotic uncertainties…

机器学习 · 计算机科学 2021-08-13 Benjamin Gravell , Tyler Summers

This paper presents a systematic approach to nonlinear state-feedback control design that has three main advantages: (i) it ensures exponential stability and $ \mathcal{L}_2 $-gain performance with respect to a user-defined set of reference…

系统与控制 · 电气工程与系统科学 2023-08-10 Ruigang Wang , Roland Tóth , Patrick J. W. Koelwijn , Ian R. Manchester

We study a problem of simultaneous system identification and model predictive control of nonlinear systems. Particularly, we provide an algorithm for systems with unknown residual dynamics that can be expressed by Koopman operators. Such…

系统与控制 · 电气工程与系统科学 2025-12-11 Hongyu Zhou , Vasileios Tzoumas

This paper addresses a class of nonsmooth and nonconvex optimization problems defined on complete Riemannian manifolds. The objective function has a composite structure, combining convex, differentiable, and lower semicontinuous terms,…

Lipschitz constants of neural networks allow for guarantees of robustness in image classification, safety in controller design, and generalizability beyond the training data. As calculating Lipschitz constants is NP-hard, techniques for…

机器学习 · 计算机科学 2024-01-09 Anton Xue , Lars Lindemann , Alexander Robey , Hamed Hassani , George J. Pappas , Rajeev Alur

Neural networks are widely used as surrogate models but they do not guarantee physically consistent predictions thereby preventing adoption in various applications. We propose a method that can enforce NNs to satisfy physical laws that are…

机器学习 · 计算机科学 2025-01-30 Giacomo Lastrucci , Tanuj Karia , Zoë Gromotka , Artur M. Schweidtmann

Many scientific problems involve data exhibiting both temporal and cross-sectional dependencies. While linear dependencies have been extensively studied, the theoretical analysis of regression estimators under nonlinear dependencies remains…

统计理论 · 数学 2025-02-27 Marie-Christine Düker , Adam Waterbury

In Online Continual Learning (OCL) a learning system receives a stream of data and sequentially performs prediction and training steps. Important challenges in OCL are concerned with automatic adaptation to the particular non-stationary…

This paper introduces an indirect adaptive fuzzy model predictive control strategy for a nonlinear rotational inverted pendulum with model uncertainties. In the first stage, a nonlinear prediction model is provided based on the fuzzy sets,…

最优化与控制 · 数学 2019-03-20 Roja Eini , Sherif Abdelwahed

This paper introduces and analyses interacting underdamped Langevin algorithms, termed Kinetic Interacting Particle Langevin Monte Carlo (KIPLMC) methods, for statistical inference in latent variable models. We propose a diffusion process…

统计计算 · 统计学 2026-04-17 Paul Felix Valsecchi Oliva , O. Deniz Akyildiz

All Lipschitz dynamics with the weak infinitesimal contraction (WIC) property can be expressed as a Lipschitz nonlinear system in proportional negative feedback -- this statement, a ``structure theorem,'' is true in the $p=1$ and $p=\infty$…

系统与控制 · 电气工程与系统科学 2026-04-02 Simon Kuang , Xinfan Lin

Data-driven prediction and physics-agnostic machine-learning methods have attracted increased interest in recent years achieving forecast horizons going well beyond those to be expected for chaotic dynamical systems. In a separate strand of…

数据分析、统计与概率 · 物理学 2021-05-19 Georg A. Gottwald , Sebastian Reich

Learning operators between infinitely dimensional spaces is an important learning task arising in wide applications in machine learning, imaging science, mathematical modeling and simulations, etc. This paper studies the nonparametric…

机器学习 · 统计学 2022-01-04 Hao Liu , Haizhao Yang , Minshuo Chen , Tuo Zhao , Wenjing Liao

The goal of nonparametric regression is to recover an underlying regression function from noisy observations, under the assumption that the regression function belongs to a pre-specified infinite dimensional function space. In the online…

统计方法学 · 统计学 2021-04-05 Tianyu Zhang , Noah Simon

We consider here together the inference questions and the change-point problem in Poisson autoregressions (see Tj{\o}stheim, 2012). The conditional mean (or intensity) of the process is involved as a non-linear function of it past values…

统计理论 · 数学 2013-05-09 Paul Doukhan , William Kengne

In this work, we propose a dissipativity-based method for Lipschitz constant estimation of 1D convolutional neural networks (CNNs). In particular, we analyze the dissipativity properties of convolutional, pooling, and fully connected layers…

机器学习 · 计算机科学 2023-06-21 Patricia Pauli , Dennis Gramlich , Frank Allgöwer