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Operator products occur naturally in a range of regularized boundary integral equation formulations. However, while a Galerkin discretisation only depends on the domain space and the test (or dual) space of the operator, products require a…

Numerical Analysis · Mathematics 2017-11-30 Timo Betcke , Matthew Scroggs , Wojciech Smigaj

We present Jade, a differentiable physics engine for articulated rigid bodies. Jade models contacts as the Linear Complementarity Problem (LCP). Compared to existing differentiable simulations, Jade offers features including…

Robotics · Computer Science 2023-09-12 Gang Yang , Siyuan Luo , Lin Shao

We introduce a practical method to enforce partial differential equation (PDE) constraints for functions defined by neural networks (NNs), with a high degree of accuracy and up to a desired tolerance. We develop a differentiable…

Machine Learning · Computer Science 2023-04-19 Geoffrey Négiar , Michael W. Mahoney , Aditi S. Krishnapriyan

Distributed aggregative optimization underpins many cooperative optimization and multi-agent control systems, where each agent's objective function depends both on its local optimization variable and an aggregate of all agents' optimization…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Ziqin Chen , Yongqiang Wang

We introduce Lineax, a library bringing linear solves and linear least-squares to the JAX+Equinox scientific computing ecosystem. Lineax uses general linear operators, and unifies linear solves and least-squares into a single,…

Mathematical Software · Computer Science 2023-11-30 Jason Rader , Terry Lyons , Patrick Kidger

The adoption of differential privacy is growing but the complexity of designing private, efficient and accurate algorithms is still high. We propose a novel programming framework and system, Ektelo, for implementing both existing and new…

The tension between data privacy and model utility has become the defining bottleneck for the practical deployment of large language models (LLMs) trained on sensitive corpora including healthcare. Differentially private stochastic gradient…

Machine Learning · Computer Science 2025-07-31 Afshin Khadangi , Amir Sartipi , Igor Tchappi , Ramin Bahmani , Gilbert Fridgen

The top-k operator returns a sparse vector, where the non-zero values correspond to the k largest values of the input. Unfortunately, because it is a discontinuous function, it is difficult to incorporate in neural networks trained…

Machine Learning · Computer Science 2023-06-06 Michael E. Sander , Joan Puigcerver , Josip Djolonga , Gabriel Peyré , Mathieu Blondel

We establish a well-posedness and error-estimation framework that solves Hamilton-Jacobi equations by minimizing the least-squares residual of monotone finite-difference discretizations. This approach also applies naturally to second-order…

Numerical Analysis · Mathematics 2026-05-13 Olivier Bokanowski , Carlos Esteve-Yagüe , Richard Tsai

Designing scalable estimation algorithms is a core challenge in modern statistics. Here we introduce a framework to address this challenge based on parallel approximants, which yields estimators with provable properties that operate on the…

Methodology · Statistics 2023-08-04 Aritra Chakravorty , William S. Cleveland , Patrick J. Wolfe

Differentiable simulators promise faster computation time for reinforcement learning by replacing zeroth-order gradient estimates of a stochastic objective with an estimate based on first-order gradients. However, it is yet unclear what…

Machine Learning · Computer Science 2022-08-23 H. J. Terry Suh , Max Simchowitz , Kaiqing Zhang , Russ Tedrake

Numerical solutions of partial differential equations enable a broad range of scientific research. The Dedalus Project is a flexible, open-source, parallelized computational framework for solving general partial differential equations using…

Instrumentation and Methods for Astrophysics · Physics 2020-04-29 Keaton J. Burns , Geoffrey M. Vasil , Jeffrey S. Oishi , Daniel Lecoanet , Benjamin P. Brown

Different activation functions work best for different deep learning models. To exploit this, we leverage recent advancements in gradient-based search techniques for neural architectures to efficiently identify high-performing activation…

Machine Learning · Computer Science 2024-08-14 Lukas Strack , Mahmoud Safari , Frank Hutter

Deep Audio Analyzer is an open source speech framework that aims to simplify the research and the development process of neural speech processing pipelines, allowing users to conceive, compare and share results in a fast and reproducible…

Sound · Computer Science 2023-10-31 Valerio Francesco Puglisi , Oliver Giudice , Sebastiano Battiato

An important field in robotics is the optimization of controllers. Currently, robots are often treated as a black box in this optimization process, which is the reason why derivative-free optimization methods such as evolutionary algorithms…

Neural and Evolutionary Computing · Computer Science 2018-11-27 Jonas Degrave , Michiel Hermans , Joni Dambre , Francis wyffels

While federated learning (FL) and differential privacy (DP) have been extensively studied, their application to automatic speech recognition (ASR) remains largely unexplored due to the challenges in training large transformer models.…

Speech data collected in real-world scenarios often encounters two issues. First, multiple sources may exist simultaneously, and the number of sources may vary with time. Second, the existence of background noise in recording is inevitable.…

Sound · Computer Science 2020-05-21 Yuan-Kuei Wu , Chao-I Tuan , Hung-yi Lee , Yu Tsao

The auto differentiable simulation is a type of simulation that outputs of the simulation include not only the simulation result itself, but also their derivatives with respect to various input parameters. It provides an efficient method to…

Computational Physics · Physics 2025-12-01 Ji Qianga , Yue Hao , Allen Qiang , Jinyu Wan

While models in audio and speech processing are becoming deeper and more end-to-end, they as a consequence need expensive training on large data, and are often brittle. We build on a classical model of human hearing and make it…

Sound · Computer Science 2024-09-16 Ruolan Leslie Famularo , Dmitry N. Zotkin , Shihab A. Shamma , Ramani Duraiswami

The distributed linearly separable computation problem finds extensive applications across domains such as distributed gradient coding, distributed linear transform, real-time rendering, etc. In this paper, we investigate this problem in a…

Information Theory · Computer Science 2024-01-30 Haoning Chen , Minquan Cheng , Zhenhao Huang , Youlong Wu