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Development of models and dedicated numerical methods for dynamics in fractured rocks is an active research field, with research moving towards increasingly advanced process couplings and complex fracture networks. The inclusion of coupled…

Fitting a theoretical model to experimental data in a Bayesian manner using Markov chain Monte Carlo typically requires one to evaluate the model thousands (or millions) of times. When the model is a slow-to-compute physics simulation,…

Machine Learning · Statistics 2022-08-25 Steven Stetzler , Michael Grosskopf , Earl Lawrence

In order to make accurate predictions of material properties, current machine-learning approaches generally require large amounts of data, which are often not available in practice. In this work, an all-round framework is presented which…

Materials Science · Physics 2021-07-09 Pierre-Paul De Breuck , Geoffroy Hautier , Gian-Marco Rignanese

Frictional contact has been extensively studied as the core underlying behavior of legged locomotion and manipulation, and its nearly-discontinuous nature makes planning and control difficult even when an accurate model of the robot is…

Robotics · Computer Science 2021-03-30 Mihir Parmar , Mathew Halm , Michael Posa

We demonstrate that embedding physics-driven constraints into machine learning process can dramatically improve accuracy and generalizability of the resulting model. Physics-informed learning is illustrated on the example of analysis of…

Computational Physics · Physics 2021-12-16 Abantika Ghosh , Mohannad Elhamod , Jie Bu , Wei-Cheng Lee , Anuj Karpatne , Viktor A Podolskiy

In this paper, we study the problem of learning one-dimensional Gaussian mixture models (GMMs) with a specific focus on estimating both the model order and the mixing distribution from independent and identically distributed (i.i.d.)…

Machine Learning · Statistics 2026-02-24 Xinyu Liu , Hai Zhang

Geometric embeddings have recently received attention for their natural ability to represent transitive asymmetric relations via containment. Box embeddings, where objects are represented by n-dimensional hyperrectangles, are a particularly…

Machine Learning · Computer Science 2020-10-30 Shib Sankar Dasgupta , Michael Boratko , Dongxu Zhang , Luke Vilnis , Xiang Lorraine Li , Andrew McCallum

We investigate the role of microstructural bridging on the fracture toughness of composite materials. To achieve this, a new computational framework is presented that integrates phase field fracture and cohesive zone models to simulate…

Applied Physics · Physics 2022-01-11 W. Tan , E. Martínez-Pañeda

In the realm of statistical learning, the increasing volume of accessible data and increasing model complexity necessitate robust methodologies. This paper explores two branches of robust Bayesian methods in response to this trend. The…

Methodology · Statistics 2024-12-02 Masahiro Tanaka

State-space models are successfully used in many areas of science, engineering and economics to model time series and dynamical systems. We present a fully Bayesian approach to inference \emph{and learning} (i.e. state estimation and system…

Machine Learning · Statistics 2013-12-18 Roger Frigola , Fredrik Lindsten , Thomas B. Schön , Carl E. Rasmussen

The focus of this work is a posteriori error estimation for stochastic Galerkin approximations of parameter-dependent linear elasticity equations. The starting point is a three-field PDE model in which the Young's modulus is an affine…

Numerical Analysis · Mathematics 2018-10-18 Arbaz Khan , Alex Bespalov , Catherine E. Powell , David J. Silvester

Accurate prediction of fracture toughness under complex loading conditions, like mixed mode I/II, is essential for reliable failure assessment. This paper aims to develop a machine learning framework for predicting fracture toughness and…

Computational Physics · Physics 2025-03-04 Amir Mohammad Mirzaei

Polymer composite joints are critical aerospace components for reinforcing lightweight structures and achieving high eco-efficiency transportation standards. Optimizing complex structural joints is an iterative process. Fast and reliable…

In statistical modeling with Gaussian Process regression, it has been shown that combining (few) high-fidelity data with (many) low-fidelity data can enhance prediction accuracy, compared to prediction based on the few high-fidelity data…

Machine Learning · Statistics 2019-04-23 Seungjoon Lee , Felix Dietrich , George E. Karniadakis , Ioannis G. Kevrekidis

In this paper, we propose a real-world benchmark for studying robotic learning in the context of functional manipulation: a robot needs to accomplish complex long-horizon behaviors by composing individual manipulation skills in functionally…

Robotics · Computer Science 2024-09-04 Jianlan Luo , Charles Xu , Fangchen Liu , Liam Tan , Zipeng Lin , Jeffrey Wu , Pieter Abbeel , Sergey Levine

Prognostics aid in the longevity of fielded systems or products. Quantifying the system's current health enable prognosis to enhance the operator's decision-making to preserve the system's health. Creating a prognosis for a system can be…

Artificial Intelligence · Computer Science 2022-08-31 Ryan Nguyen , Shubhendu Kumar Singh , Rahul Rai

This paper presents a method for identifying mechanical parameters of robots or objects, such as their mass and friction coefficients. Key features are the use of off-the-shelf physics engines and the adaptation of a Bayesian optimization…

Robotics · Computer Science 2018-06-14 Shaojun Zhu , Andrew Kimmel , Kostas E. Bekris , Abdeslam Boularias

We have recently proposed an efficient computation method for the frictionless linear elastic axisymmetric contact of coated bodies [A. Perriot and E. Barthel, J. Mat. Res. 19 (2004) 600]. Here we give a brief description of the approach.…

Materials Science · Physics 2009-11-11 Etienne Barthel , Antoine Perriot , Antoine Chateauminois , Christian Frétigny

The inductance/impedance due to thin metallic structures in non-destructive testing (NDT) is difficult to evaluate. In particular, in Finite Element Method (FEM) eddy current simulation, an extremely fine mesh is required to accurately…

Signal Processing · Electrical Eng. & Systems 2019-05-31 Wuliang Yin , Jiawei Tang , Mingyang Lu , Hanyang Xu , Ruochen Huang , Qian Zhao , Zhijie Zhang , Anthony Peyton

Fusing measurements from multiple, heterogeneous, partial sources, observing a common object or process, poses challenges due to the increasing availability of numbers and types of sensors. In this work we propose, implement and validate an…