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Recent work in scientific machine learning has developed so-called physics-informed neural network (PINN) models. The typical approach is to incorporate physical domain knowledge as soft constraints on an empirical loss function and use…

机器学习 · 计算机科学 2021-11-12 Aditi S. Krishnapriyan , Amir Gholami , Shandian Zhe , Robert M. Kirby , Michael W. Mahoney

Sample complexity and safety are major challenges when learning policies with reinforcement learning for real-world tasks, especially when the policies are represented using rich function approximators like deep neural networks. Model-based…

机器学习 · 计算机科学 2017-03-07 Aravind Rajeswaran , Sarvjeet Ghotra , Balaraman Ravindran , Sergey Levine

Constraint admissible positively invariant (CAPI) sets play a pivotal role in ensuring safety in control and planning applications, such as the recursive feasibility guarantee of explicit reference governor and model predictive control.…

系统与控制 · 电气工程与系统科学 2024-10-01 Dabin Kim , H. Jin Kim

Physics-informed neural networks (PINNs) incorporate physical knowledge from the problem domain as a soft constraint on the loss function, but recent work has shown that this can lead to optimization difficulties. Here, we study the impact…

机器学习 · 计算机科学 2022-07-12 Shashank Subramanian , Robert M. Kirby , Michael W. Mahoney , Amir Gholami

Physics-Informed Neural Networks (PINNs) are mesh-free approaches for the numerical approximation of partial differential equations, where a neural network is trained by minimizing a loss function derived from the governing equations and…

数值分析 · 数学 2026-04-03 Medard Govoeyi , Thomas Richter

Physics-inspired neural networks (NNs), such as Hamiltonian or Lagrangian NNs, dramatically outperform other learned dynamics models by leveraging strong inductive biases. These models, however, are challenging to apply to many real world…

机器学习 · 计算机科学 2022-02-15 Nate Gruver , Marc Finzi , Samuel Stanton , Andrew Gordon Wilson

When a large feedforward neural network is trained on a small training set, it typically performs poorly on held-out test data. This "overfitting" is greatly reduced by randomly omitting half of the feature detectors on each training case.…

神经与进化计算 · 计算机科学 2012-07-04 Geoffrey E. Hinton , Nitish Srivastava , Alex Krizhevsky , Ilya Sutskever , Ruslan R. Salakhutdinov

Logic-based problems such as planning, theorem proving, or puzzles, typically involve combinatoric search and structured knowledge representation. Artificial neural networks are very successful statistical learners, however, for many years,…

机器学习 · 计算机科学 2017-12-11 Gadi Pinkas , Shimon Cohen

Imitation learning considerably simplifies policy synthesis compared to alternative approaches by exploiting access to expert demonstrations. For such imitation policies, errors away from the training samples are particularly critical. Even…

机器学习 · 计算机科学 2024-03-19 Kaustubh Sridhar , Souradeep Dutta , Dinesh Jayaraman , James Weimer , Insup Lee

Deep learning models are increasingly deployed in safety-critical tasks where predictions must satisfy hard constraints, such as physical laws, fairness requirements, or safety limits. However, standard architectures lack built-in…

机器学习 · 计算机科学 2025-11-26 Gonzalo E. Constante-Flores , Hao Chen , Can Li

In most optimization problems, users have a clear understanding of the function to optimize (e.g., minimize the makespan for scheduling problems). However, the constraints may be difficult to state and their modelling often requires…

人工智能 · 计算机科学 2021-11-24 Mohamed-Bachir Belaid , Arnaud Gotlieb , Nadjib Lazaar

An increasing trend in the use of neural networks in control systems is being observed. The aim of this paper is to reveal that the straightforward application of learning neural network feedforward controllers with closed-loop data may…

系统与控制 · 电气工程与系统科学 2023-03-31 Johan Kon , Marcel Heertjes , Tom Oomen

Realtime model learning proves challenging for complex dynamical systems, such as drones flying in variable wind conditions. Machine learning technique such as deep neural networks have high representation power but is often too slow to…

机器人学 · 计算机科学 2022-05-26 Michael O'Connell , Guanya Shi , Xichen Shi , Soon-Jo Chung

The recent ground-breaking advances in deep learning networks ( DNNs ) make them attractive for embedded systems. However, it can take a long time for DNNs to make an inference on resource-limited embedded devices. Offloading the…

性能 · 计算机科学 2018-05-14 Ben Taylor , Vicent Sanz Marco , Willy Wolff , Yehia Elkhatib , Zheng Wang

Deep Neural Networks (DNNs) have become increasingly popular in computer vision, natural language processing, and other areas. However, training and fine-tuning a deep learning model is computationally intensive and time-consuming. We…

机器学习 · 计算机科学 2018-07-04 Jiayi Liu , Samarth Tripathi , Unmesh Kurup , Mohak Shah

Physics-informed neural networks (PINNs) have gained prominence in recent years and are now effectively used in a number of applications. However, their performance remains unstable due to the complex landscape of the loss function. To…

机器学习 · 计算机科学 2025-09-30 Dmitry Bylinkin , Mikhail Aleksandrov , Savelii Chezhegov , Aleksandr Beznosikov

Quadratic programming is a workhorse of modern nonlinear optimization, control, and data science. Although regularized methods offer convergence guarantees under minimal assumptions on the problem data, they can exhibit the slow…

最优化与控制 · 数学 2026-05-18 Jeremy Bertoncini , Alberto De Marchi , Matthias Gerdts , Simon Gottschalk

Convolutional neural networks (CNNs) tend to become a standard approach to solve a wide array of computer vision problems. Besides important theoretical and practical advances in their design, their success is built on the existence of…

计算机视觉与模式识别 · 计算机科学 2015-12-08 Adrian Popescu , Etienne Gadeski , Hervé Le Borgne

Data driven models of dynamical systems help planners and controllers to provide more precise and accurate motions. Most model learning algorithms will try to minimize a loss function between the observed data and the model's predictions.…

人工智能 · 计算机科学 2021-02-12 Clark Zhang , Santiago Paternain , Alejandro Ribeiro

Convolutional Neural Networks (CNNs) do not have a predictable recognition behavior with respect to the input resolution change. This prevents the feasibility of deployment on different input image resolutions for a specific model. To…

计算机视觉与模式识别 · 计算机科学 2020-07-14 Duo Li , Anbang Yao , Qifeng Chen