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Backpropagation algorithm is the cornerstone for neural network analysis. Paper extends it for training any derivatives of neural network's output with respect to its input. By the dint of it feedforward networks can be used to solve or…

神经与进化计算 · 计算机科学 2017-12-13 V. I. Avrutskiy

Feedback optimization refers to a class of methods that steer a control system to a steady state that solves an optimization problem. Despite tremendous progress on the topic, an important problem remains open: enforcing state constraints…

最优化与控制 · 数学 2026-02-11 Giannis Delimpaltadakis , Pol Mestres , Jorge Cortés , W. P. M. H. Heemels

The goal of inverse reinforcement learning (IRL) is to infer a reward function that explains the behavior of an agent performing a task. The assumption that most approaches make is that the demonstrated behavior is near-optimal. In many…

机器学习 · 计算机科学 2020-11-20 Luis Haug , Ivan Ovinnikov , Eugene Bykovets

Designing an effective reward function has long been a challenge in reinforcement learning, particularly for complex tasks in unstructured environments. To address this, various learning paradigms have emerged that leverage different forms…

机器学习 · 计算机科学 2025-04-29 Muhammad Qasim Elahi , Somtochukwu Oguchienti , Maheed H. Ahmed , Mahsa Ghasemi

The objective of this research is to enable safety-critical systems to simultaneously learn and execute optimal control policies in a safe manner to achieve complex autonomy. Learning optimal policies via trial and error, i.e., traditional…

系统与控制 · 电气工程与系统科学 2022-04-05 S M Nahid Mahmud , Moad Abudia , Scott A Nivison , Zachary I. Bell , Rushikesh Kamalapurkar

This paper investigates the comparative performance of two fundamental approaches to solving linear regression problems: the closed-form Moore-Penrose pseudoinverse and the iterative gradient descent method. Linear regression is a…

机器学习 · 计算机科学 2025-05-30 Alex Adams

Recent works in deep learning have shown that integrating differentiable physics simulators into the training process can greatly improve the quality of results. Although this combination represents a more complex optimization task than…

机器学习 · 计算机科学 2022-03-22 Patrick Schnell , Philipp Holl , Nils Thuerey

Metasurfaces are subwavelength-structured artificial media that can shape and localize electromagnetic waves in unique ways. The inverse design of these devices is a non-convex optimization problem in a high dimensional space, making global…

计算物理 · 物理学 2019-11-22 Jiaqi Jiang , Jonathan A. Fan

The development of inverse design, where computational optimization techniques are used to design devices based on certain specifications, has led to the discovery of many compact, non-intuitive structures with superior performance. Among…

光学 · 物理学 2019-02-25 Tyler W. Hughes , Momchil Minkov , Ian A. D. Williamson , Shanhui Fan

Inverse Reinforcement Learning (IRL) describes the problem of learning an unknown reward function of a Markov Decision Process (MDP) from observed behavior of an agent. Since the agent's behavior originates in its policy and MDP policies…

人工智能 · 计算机科学 2016-04-14 Michael Herman , Tobias Gindele , Jörg Wagner , Felix Schmitt , Wolfram Burgard

When robots enter everyday human environments, they need to understand their tasks and how they should perform those tasks. To encode these, reward functions, which specify the objective of a robot, are employed. However, designing reward…

机器人学 · 计算机科学 2022-10-21 Erdem Bıyık

This paper develops an online inverse reinforcement learning algorithm aimed at efficiently recovering a reward function from ongoing observations of an agent's actions. To reduce the computation time and storage space in reward estimation,…

机器人学 · 计算机科学 2017-08-01 Kun Li , Joel W. Burdick

A neural networks (NN) compensator is designed for systems with multi-segment piecewise-linear nonlinearities. The compensator uses the back stepping technique with NN for inverting the multi-segment piecewise-linear nonlinearities in the…

系统与控制 · 电气工程与系统科学 2021-10-04 Jun Oh Jang

In computational design and fabrication, neural networks are becoming important surrogates for bulky forward simulations. A long-standing, intertwined question is that of inverse design: how to compute a design that satisfies a desired…

图形学 · 计算机科学 2022-08-30 Navid Ansari , Hans-Peter Seidel , Vahid Babaei

Mathematical optimization is one of the cornerstones of modern engineering research and practice. Yet, throughout all application domains, mathematical optimization is, for the most part, considered to be a numerical discipline.…

最优化与控制 · 数学 2024-01-09 Adrian Hauswirth , Zhiyu He , Saverio Bolognani , Gabriela Hug , Florian Dörfler

We theoretically analyze the Feedback Alignment (FA) algorithm, an efficient alternative to backpropagation for training neural networks. We provide convergence guarantees with rates for deep linear networks for both continuous and discrete…

机器学习 · 计算机科学 2021-10-22 Manuela Girotti , Ioannis Mitliagkas , Gauthier Gidel

The success of deep neural networks hinges on our ability to accurately and efficiently optimize high-dimensional, non-convex functions. In this paper, we empirically investigate the loss functions of state-of-the-art networks, and how…

机器学习 · 计算机科学 2017-12-11 Daniel Jiwoong Im , Michael Tao , Kristin Branson

We consider the task of Inverse Reinforcement Learning in Contextual Markov Decision Processes (MDPs). In this setting, contexts, which define the reward and transition kernel, are sampled from a distribution. In addition, although the…

机器学习 · 计算机科学 2021-01-01 Stav Belogolovsky , Philip Korsunsky , Shie Mannor , Chen Tessler , Tom Zahavy

This paper addresses the problem of online inverse reinforcement learning for nonlinear systems with modeling uncertainties while in the presence of unknown disturbances. The developed approach observes state and input trajectories for an…

系统与控制 · 电气工程与系统科学 2021-07-07 Ryan Self , Moad Abudia , Rushikesh Kamalapurkar

The problem of Reinforcement Learning (RL) in an unknown nonlinear dynamical system is equivalent to the search for an optimal feedback law utilizing the simulations/ rollouts of the dynamical system. Most RL techniques search over a…

机器学习 · 计算机科学 2022-03-25 Ran Wang , Karthikeya S. Parunandi , Aayushman Sharma , Raman Goyal , Suman Chakravorty