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Several problems in modeling and control of stochastically-driven dynamical systems can be cast as regularized semi-definite programs. We examine two such representative problems and show that they can be formulated in a similar manner. The…

Optimization and Control · Mathematics 2019-12-30 Armin Zare , Hesameddin Mohammadi , Neil K. Dhingra , Tryphon T. Georgiou , Mihailo R. Jovanović

Depth separation results propose a possible theoretical explanation for the benefits of deep neural networks over shallower architectures, establishing that the former possess superior approximation capabilities. However, there are no known…

Machine Learning · Computer Science 2023-02-03 Itay Safran , Jason D. Lee

This paper presents a transformative framework for artificial neural networks over graded vector spaces, tailored to model hierarchical and structured data in fields like algebraic geometry and physics. By exploiting the algebraic…

Artificial Intelligence · Computer Science 2026-01-07 Tony Shaska

Accurately modeling contact behaviors for real-world, near-rigid materials remains a grand challenge for existing rigid-body physics simulators. This paper introduces a data-augmented contact model that incorporates analytical solutions…

Robotics · Computer Science 2022-06-23 Yifeng Jiang , Jiazheng Sun , C. Karen Liu

Data augmentation is a widely used technique in classification to increase data used in training. It improves generalization and reduces amount of annotated human activity data needed for training which reduces labour and time needed with…

Machine Learning · Computer Science 2021-09-07 Sandeep Ramachandra , Alexander Hoelzemann , Kristof Van Laerhoven

Machine learning has become increasingly popular for efficiently modelling the dynamics of complex physical systems, demonstrating a capability to learn effective models for dynamics which ignore redundant degrees of freedom. Learned…

Machine Learning · Computer Science 2022-11-29 Ameya Daigavane , Arthur Kosmala , Miles Cranmer , Tess Smidt , Shirley Ho

We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

Data augmentation has proved extremely useful by increasing training data variance to alleviate overfitting and improve deep neural networks' generalization performance. In medical image analysis, a well-designed augmentation policy usually…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Yunhe Gao , Zhiqiang Tang , Mu Zhou , Dimitris Metaxas

Neural networks, especially the recent proposed neural operator models, are increasingly being used to find the solution operator of differential equations. Compared to traditional numerical solvers, they are much faster and more efficient…

Machine Learning · Computer Science 2022-12-09 Ye Li , Yiwen Pang , Bin Shan

In this paper, we propose two novel decentralized optimization frameworks for multi-agent nonlinear optimal control problems in robotics. The aim of this work is to suggest architectures that inherit the computational efficiency and…

Systems and Control · Electrical Eng. & Systems 2022-08-09 Augustinos D. Saravanos , Yuichiro Aoyama , Hongchang Zhu , Evangelos A. Theodorou

As interactions with autonomous agents-ranging from robots in physical settings to avatars in virtual and augmented realities-become more prevalent, developing advanced cognitive architectures is critical for enhancing the dynamics of…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Antonio Grotta , Marco Coraggio , Antonio Spallone , Francesco De Lellis , Mario di Bernardo

Differentiable simulation enables gradients to be back-propagated through physics simulations. In this way, one can learn the dynamics and properties of a physics system by gradient-based optimization or embed the whole differentiable…

Machine Learning · Computer Science 2023-05-02 Yaofeng Desmond Zhong , Jiequn Han , Biswadip Dey , Georgia Olympia Brikis

High-fidelity physics simulation is essential for scalable robotic learning, but the sim-to-real gap persists, especially for tasks involving complex, dynamic, and discontinuous interactions like physical contacts. Explicit system…

Robotics · Computer Science 2026-01-21 Changwei Jing , Jai Krishna Bandi , Jianglong Ye , Yan Duan , Pieter Abbeel , Xiaolong Wang , Sha Yi

Data augmentations are useful in closing the sim-to-real domain gap when training on synthetic data. This is because they widen the training data distribution, thus encouraging the model to generalize better to other domains. Many image…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Bram Vanherle , Nick Michiels , Frank Van Reeth

Recent advances in garment simulation have brought high-quality results closer to real-time performance. Physics-based simulators can produce accurate motion, but remain too computationally expensive for interactive applications. In…

In the past few years, following the differentiable programming paradigm, there has been a growing interest in computing the gradient information of physical processes (e.g., physical simulation, image rendering). However, such processes…

Robotics · Computer Science 2022-06-24 Quentin Le Lidec , Louis Montaut , Cordelia Schmid , Ivan Laptev , Justin Carpentier

Sim2Real aims at training policies in high-fidelity simulation environments and effectively transferring them to the real world. Despite the developments of accurate simulators and Sim2Real RL approaches, the policies trained purely in…

Machine Learning · Computer Science 2025-10-21 Akhil S Anand , Shambhuraj Sawant , Jasper Hoffmann , Dirk Reinhardt , Sebastien Gros

Data augmentation is an effective technique to improve the generalization of deep neural networks. Recently, AutoAugment proposed a well-designed search space and a search algorithm that automatically finds augmentation policies in a…

Computer Vision and Pattern Recognition · Computer Science 2021-10-08 Chih-Yang Chen , Che-Han Chang

Accurate simulation of soft mechanisms under dynamic actuation is critical for the design of soft robots. We address this gap with our differentiable simulation tool by learning the material parameters of our soft robotic fish. On the…

Identifying predictive world models for robots in novel environments from sparse online observations is essential for robot task planning and execution in novel environments. However, existing methods that leverage differentiable…

Robotics · Computer Science 2025-05-13 Yifan Zhu , Tianyi Xiang , Aaron Dollar , Zherong Pan