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We consider the problem of function estimation in the case where the data distribution may shift between training and test time, and additional information about it may be available at test time. This relates to popular scenarios such as…

机器学习 · 统计学 2013-06-05 Bernhard Schölkopf , Dominik Janzing , Jonas Peters , Kun Zhang

We explore the feasibility of foundation models for the simulation of physical phenomena, with emphasis on continuum (solid and fluid) mechanics. Although so-called learned simulators have shown some success when applied to specific tasks,…

计算工程、金融与科学 · 计算机科学 2024-10-21 Alicia Tierz , Mikel M. Iparraguirre , Iciar Alfaro , David Gonzalez , Francisco Chinesta , Elias Cueto

Autonomous vehicles have the potential to lower the accident rate when compared to human driving. Moreover, it is the driving force of the automated vehicles' rapid development over the last few years. In the higher Society of Automotive…

机器人学 · 计算机科学 2022-08-30 Dhanoop Karunakaran , Julie Stephany Berrio , Stewart Worrall , Eduardo Nebot

This paper addresses two important estimation problems for linear systems, namely system identification and model-free state estimation. Our focus is on ARMAX models with unknown parameters. We first provide a reinforcement learning…

系统与控制 · 电气工程与系统科学 2022-05-10 Minyue Fu

We introduce a mathematical framework for retrosynthetic analysis, an important research method in synthetic chemistry. Our approach represents molecules and their interaction using string diagrams in layered props - a recently introduced…

计算机科学中的逻辑 · 计算机科学 2023-11-08 Ella Gale , Leo Lobski , Fabio Zanasi

This is the second paper of a three-part work the main aim of which is to provide a unified consistent framework for the phase-field modelling of cohesive fracture. Building on the theoretical foundations of the first paper, where…

偏微分方程分析 · 数学 2025-07-17 Roberto Alessi , Francesco Colasanto , Matteo Focardi

Several aspects influence corrosive processes in RC structures, such as environmental conditions, structural geometry, and mechanical properties. Since these aspects present large randomnesses, probabilistic models allow a more accurate…

数值分析 · 数学 2021-04-20 Karolinne O. Coelho , Edson D. Leonel , Julio Flórez-López

Automated drifting presents a challenge problem for vehicle control, requiring models and control algorithms that can precisely handle nonlinear, coupled tire forces at the friction limits. We present a neural network architecture for…

系统与控制 · 电气工程与系统科学 2024-07-19 Nicholas Drake Broadbent , Trey Weber , Daiki Mori , J. Christian Gerdes

The learning curve expresses the error rate of a predictive modeling procedure as a function of the sample size of the training dataset. It typically is a decreasing, convex function with a positive limiting value. An estimate of the…

应用统计 · 统计学 2012-03-14 Eric B. Laber , Kerby Shedden , Yang Yang

We consider a one-dimensional "gas" of inelastically colliding particles where kinetic energy is dissipated by the excitation of vibrational degrees of freedom. In our model the coefficient of restitution is a stochastic quantity whose…

凝聚态物理 · 物理学 2007-05-23 Goetz Giese

Inverse reinforcement learning (IRL) is computationally challenging, with common approaches requiring the solution of multiple reinforcement learning (RL) sub-problems. This work motivates the use of potential-based reward shaping to reduce…

机器学习 · 计算机科学 2023-12-19 Lauren H. Cooke , Harvey Klyne , Edwin Zhang , Cassidy Laidlaw , Milind Tambe , Finale Doshi-Velez

The coefficient of restitution of colliding viscoelastic spheres is analytically known as a complete series expansion in terms of the impact velocity where all (infinitely many) coefficients are known. While beeing analytically exact, this…

材料科学 · 物理学 2015-05-27 Patric Mueller , Thorsten Poeschel

We start with a brief introduction to reinforcement learning (RL), about its successful stories, basics, an example, issues, the ICML 2019 Workshop on RL for Real Life, how to use it, study material and an outlook. Then we discuss a…

机器学习 · 计算机科学 2019-08-21 Yuxi Li

We consider the problem of estimating the slope parameter in circular functional linear regression, where scalar responses Y1,...,Yn are modeled in dependence of 1-periodic, second order stationary random functions X1,...,Xn. We consider an…

统计理论 · 数学 2010-10-01 Fabienne Comte , Jan Johannes

Models for vehicle dynamics play an important role in maneuver planning for automated driving. They are used to derive trajectories from given control inputs, or to evaluate a given trajectory in terms of constraint violation or optimality…

机器人学 · 计算机科学 2024-05-15 J. R. Ziehn , M. Ruf , M. Roschani , J. Beyerer

Varying-coefficient functional linear models consider the relationship between a response and a predictor, where the response depends not only the predictor but also an exogenous variable. It then accounts for the relation of the predictors…

统计方法学 · 统计学 2022-03-22 Hidetoshi Matsui

Accidental damage is a typical component of motor insurance claim. Modeling of this nature generally involves analysis of past claim history and different characteristics of the insured objects and the policyholders. Generalized linear…

应用统计 · 统计学 2017-10-11 Sen Hu , Adrian O'Hagan , Thomas Brendan Murphy

Functional linear regression analysis aims to model regression relations which include a functional predictor. The analog of the regression parameter vector or matrix in conventional multivariate or multiple-response linear regression…

统计理论 · 数学 2011-02-28 Yichao Wu , Jianqing Fan , Hans-Georg Müller

Urban traffic regulation policies are increasingly used to address congestion, emissions, and accessibility in cities, yet their impacts are difficult to assess due to the socio-technical complexity of urban mobility systems. Recent…

计算机与社会 · 计算机科学 2026-03-13 Arianna Burzacchi , Marco Pistore

Dynamical theories of speech use computational models of articulatory control to generate quantitative predictions and advance understanding of speech dynamics. The addition of a nonlinear restoring force to task dynamic models is a…

计算与语言 · 计算机科学 2025-02-04 Sam Kirkham