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In this work we propose a new kind of parameterized outer estimate of the united solution set to an interval parametric linear system. The new method has several advantages compared to the methods obtaining parameterized solutions…

Numerical Analysis · Mathematics 2020-04-02 Evgenija D. Popova

We develop a general framework for estimating function-valued parameters under equality or inequality constraints in infinite-dimensional statistical models. Such constrained learning problems are common across many areas of statistics and…

Machine Learning · Statistics 2025-07-22 Razieh Nabi , Nima S. Hejazi , Mark J. van der Laan , David Benkeser

We propose to use deep learning to estimate parameters in statistical models when standard likelihood estimation methods are computationally infeasible. We show how to estimate parameters from max-stable processes, where inference is…

Methodology · Statistics 2021-08-02 Amanda Lenzi , Julie Bessac , Johann Rudi , Michael L. Stein

Modeling is crucial to understanding the effect of greenhouse gases, warming, and ice sheet melting on the ocean. At the same time, ocean processes affect phenomena such as hurricanes and droughts. Parameters in the models that cannot be…

Deep learning models are widely used across computer vision and other domains. When working on the model induction, selecting the right architecture for a given dataset often relies on repetitive trial-and-error procedures. This procedure…

Machine Learning · Computer Science 2026-01-06 Yen-Chia Chen , Hsing-Kuo Pao , Hanjuan Huang

Impulse response estimation in high noise and in-the-wild settings, with minimal control of the underlying data distributions, is a challenging problem. We propose a novel framework for parameterizing and estimating impulse responses based…

Sound · Computer Science 2022-02-08 Alexander Richard , Peter Dodds , Vamsi Krishna Ithapu

We present a graph neural network (GNN) based surrogate framework for molecular dynamics simulations that directly predicts atomic displacements and learns the underlying evolution operator of an atomistic system. Unlike conventional…

Materials Science · Physics 2025-12-29 Judah Immanuel , Avik Mahata , Aniruddha Maiti

Modeling complex dynamical systems under varying conditions is computationally intensive, often rendering high-fidelity simulations intractable. Although reduced-order models (ROMs) offer a promising solution, current methods often struggle…

Machine Learning · Computer Science 2026-01-16 Andrew F. Ilersich , Kevin Course , Prasanth B. Nair

Complex and nonlinear dynamical systems often involve parameters that change with time, accurate tracking of which is essential to tasks such as state estimation, prediction, and control. Existing machine-learning methods require full state…

Machine Learning · Computer Science 2023-11-16 Zheng-Meng Zhai , Mohammadamin Moradi , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

The dominant paradigm for power system dynamic simulation is to build system-level simulations by combining physics-based models of individual components. The sheer size of the system along with the rapid integration of inverter-based…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Matthew Bossart , Jose Daniel Lara , Ciaran Roberts , Rodrigo Henriquez-Auba , Duncan Callaway , Bri-Mathias Hodge

This work applies concepts of artificial neural networks to identify the parameters of a mathematical model based on phase fields for damage and fracture. Damage mechanics is the part of the continuum mechanics that models the effects of…

Materials Science · Physics 2021-07-21 Carlos J. G. Rojas , Marco L. Bitterncourt , José L. Boldrini

We investigate the capabilities of neural inverse procedural modeling to infer high-quality procedural yarn models with fiber-level details from single images of depicted yarn samples. While directly inferring all parameters of the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Elena Trunz , Jonathan Klein , Jan Müller , Lukas Bode , Ralf Sarlette , Michael Weinmann , Reinhard Klein

Self-supervised pretraining from static structures of drug-like compounds and proteins enable powerful learned feature representations. Learned features demonstrate state of the art performance on a range of predictive tasks including…

Biomolecules · Quantitative Biology 2025-09-12 Derek Jones , Yue Yang , Felice C. Lightstone , Niema Moshiri , Jonathan E. Allen , Tajana S. Rosing

Simulations of crystal growth are performed by using Convolutional Recurrent Neural Network surrogate models, trained on a dataset of time sequences computed by numerical integration of Allen-Cahn dynamics including faceting via kinetic…

Materials Science · Physics 2026-04-24 Matteo Rigoni , Daniele Lanzoni , Francesco Montalenti , Roberto Bergamaschini

We consider the task of solving generic inverse problems, where one wishes to determine the hidden parameters of a natural system that will give rise to a particular set of measurements. Recently many new approaches based upon deep learning…

Machine Learning · Computer Science 2021-10-13 Simiao Ren , Willie Padilla , Jordan Malof

AI-driven surrogate modeling has become an increasingly effective alternative to physics-based simulations for 3D design, analysis, and manufacturing. These models leverage data-driven methods to predict physical quantities traditionally…

Machine Learning · Computer Science 2025-05-06 Yu-hsuan Chen , Jing Bi , Cyril Ngo Ngoc , Victor Oancea , Jonathan Cagan , Levent Burak Kara

Computational Fluid Dynamics (CFD)-driven training combines machine learning (ML) with CFD solvers to develop physically consistent closure models with improved predictive accuracy. In the original framework, each ML-generated candidate…

Machine Learning · Computer Science 2025-12-23 Yuan Fang , Fabian Waschkowski , Maximilian Reissmann , Richard D. Sandberg , Takuo Oda , Koichi Tanimoto

Surrogate models are used to reduce the burden of expensive-to-evaluate objective functions in optimization. By creating models which map genomes to objective values, these models can estimate the performance of unknown inputs, and so be…

Neural and Evolutionary Computing · Computer Science 2019-07-17 Alexander Hagg , Martin Zaefferer , Jörg Stork , Adam Gaier

This work introduces a surrogate-based model for efficiently estimating the frequency response of dynamic mechanical metamaterials, particularly when dealing with large parametric perturbations and aperiodic substructures. The research…

Computational Engineering, Finance, and Science · Computer Science 2025-11-06 J. Pereira , R. O. Ruiz

Continuum robots enable dexterous manipulation in constrained environments, but require accurate and efficient models for real-time manipulation and control. Traditional physics-based models can be computationally expensive and may suffer…

Robotics · Computer Science 2026-05-20 Branden Frieden , James M. Ferguson , Alan Kuntz , Varun Shankar
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