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In this work, we investigate the use of data-driven equation discovery for dynamical systems to model and forecast continuous-time dynamics of unconstrained optimization problems. To avoid expensive evaluations of the objective function and…

Optimization and Control · Mathematics 2026-02-19 Grant Norman , Conor Rowan , Kurt Maute , Alireza Doostan

A large class of non-smooth practical optimization problems can be written as minimization of a sum of smooth and partly smooth functions. We examine such structured problems which also depend on a parameter vector and study the problem of…

Optimization and Control · Mathematics 2024-10-28 Sheheryar Mehmood , Peter Ochs

A computational revolution unleashed the power of artificial neural networks. At the heart of that revolution is automatic differentiation, which calculates the derivative of a performance measure relative to a large number of parameters.…

Quantitative Methods · Quantitative Biology 2023-12-27 Steven A. Frank

Predictive simulations of complex systems are essential for applications ranging from weather forecasting to drug design. The veracity of these predictions hinges on their capacity to capture the effective system dynamics. Massively…

Computational Physics · Physics 2021-10-20 Pantelis R. Vlachas , Georgios Arampatzis , Caroline Uhler , Petros Koumoutsakos

With the evolution of various advanced driver assistance system (ADAS) platforms, the design of autonomous driving system is becoming more complex and safety-critical. The autonomous driving system simultaneously activates multiple ADAS…

Robotics · Computer Science 2019-05-15 MyungJae Shin , Joongheon Kim

We present a method for efficient differentiable simulation of articulated bodies. This enables integration of articulated body dynamics into deep learning frameworks, and gradient-based optimization of neural networks that operate on…

Machine Learning · Computer Science 2021-09-17 Yi-Ling Qiao , Junbang Liang , Vladlen Koltun , Ming C. Lin

Automatic differentiation (AD), a technique for constructing new programs which compute the derivative of an original program, has become ubiquitous throughout scientific computing and deep learning due to the improved performance afforded…

Machine Learning · Computer Science 2023-01-10 Gaurav Arya , Moritz Schauer , Frank Schäfer , Chris Rackauckas

This article aims to demonstrate and discuss the applications of automatic differentiation (AD) for finding derivatives in PDE-constrained optimization problems and Jacobians in non-linear finite element analysis. The main idea is to…

Numerical Analysis · Mathematics 2025-06-03 Julian Andrej , Tzanio Kolev , Boyan Lazarov

One critical challenge in deploying highly performant machine learning models in real-life applications is out of distribution (OOD) detection. Given a predictive model which is accurate on in distribution (ID) data, an OOD detection system…

Machine Learning · Computer Science 2022-05-24 Conor Igoe , Youngseog Chung , Ian Char , Jeff Schneider

Solving sequential decision prediction problems, including those in imitation learning settings, requires mitigating the problem of covariate shift. The standard approach, DAgger, relies on capturing expert behaviour in all states that the…

Machine Learning · Computer Science 2019-06-20 Paul Budnarain , Renato Ferreira Pinto Junior , Ilan Kogan

Performing anomaly detection in hybrid systems is a challenging task since it requires analysis of timing behavior and mutual dependencies of both discrete and continuous signals. Typically, it requires modeling system behavior, which is…

Machine Learning · Computer Science 2020-10-30 Nemanja Hranisavljevic , Oliver Niggemann , Alexander Maier

Alignment of large language models remains a central challenge in natural language processing. Preference optimization has emerged as a popular and effective method for improving alignment, typically through training-time or prompt-based…

Machine Learning · Computer Science 2025-10-01 Frédéric Berdoz , Luca A. Lanzendörfer , René Caky , Roger Wattenhofer

Differentiable programming is a fresh programming paradigm which composes parameterized algorithmic components and trains them using automatic differentiation (AD). The concept emerges from deep learning but is not only limited to training…

Strongly Correlated Electrons · Physics 2019-09-11 Hai-Jun Liao , Jin-Guo Liu , Lei Wang , Tao Xiang

Automatic differentiation is a key component in deep learning. This topic is well studied and excellent surveys such as Baydin et al. (2018) have been available to clearly describe the basic concepts. Further, sophisticated implementations…

Machine Learning · Computer Science 2024-12-18 Yu-Hsueh Fang , He-Zhe Lin , Jie-Jyun Liu , Chih-Jen Lin

Deep learning and deep architectures are emerging as the best machine learning methods so far in many practical applications such as reducing the dimensionality of data, image classification, speech recognition or object segmentation. In…

Machine Learning · Computer Science 2018-07-10 The-Hien Dang-Ha

Autonomous vehicle (AV) systems rely on robust perception models as a cornerstone of safety assurance. However, objects encountered on the road exhibit a long-tailed distribution, with rare or unseen categories posing challenges to a…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Mingfu Liang , Jong-Chyi Su , Samuel Schulter , Sparsh Garg , Shiyu Zhao , Ying Wu , Manmohan Chandraker

Solving inverse problems, such as parameter estimation and optimal control, is a vital part of science. Many experiments repeatedly collect data and rely on machine learning algorithms to quickly infer solutions to the associated inverse…

Machine Learning · Computer Science 2022-10-14 Philipp Holl , Vladlen Koltun , Nils Thuerey

Many computer vision and image processing problems can be posed as solving partial differential equations (PDEs). However, designing PDE system usually requires high mathematical skills and good insight into the problems. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2011-09-07 Risheng Liu , Zhouchen Lin , Wei Zhang , Kewei Tang , Zhixun Su

Arguably the biggest challenge in applying neural networks is tuning the hyperparameters, in particular the learning rate. The sensitivity to the learning rate is due to the reliance on backpropagation to train the network. In this paper we…

Machine Learning · Statistics 2018-08-08 Francois Fagan , Garud Iyengar

In recent years, Artificial intelligence (AI) has become ubiquitous, empowering various fields, especially integrating artificial intelligence and traditional science (AI for Science: Artificial intelligence for science), which has…