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We present some first results concerning a gradient-based dynamic approach to multi-objective optimization problems, involving inertial effects. We prove the existence of global solution trajectories for this second-order differential…

最优化与控制 · 数学 2015-06-10 Hédy Attouch , Guillaume Garrigos

Inverse Reinforcement Learning addresses the problem of inferring an expert's reward function from demonstrations. However, in many applications, we not only have access to the expert's near-optimal behavior, but we also observe part of her…

机器学习 · 计算机科学 2021-09-03 Giorgia Ramponi , Gianluca Drappo , Marcello Restelli

Inverse problems consist of recovering a signal from a collection of noisy measurements. These are typically cast as optimization problems, with classic approaches using a data fidelity term and an analytic regularizer that stabilizes…

机器学习 · 计算机科学 2021-04-15 Howard Heaton , Samy Wu Fung , Alex Tong Lin , Stanley Osher , Wotao Yin

Recent literature has demonstrated promising results for training Generative Adversarial Networks by employing a set of discriminators, in contrast to the traditional game involving one generator against a single adversary. Such methods…

机器学习 · 计算机科学 2019-01-28 Isabela Albuquerque , João Monteiro , Thang Doan , Breandan Considine , Tiago Falk , Ioannis Mitliagkas

Contrastive representation learning has been recently proved to be very efficient for self-supervised training. These methods have been successfully used to train encoders which perform comparably to supervised training on downstream…

机器学习 · 计算机科学 2020-12-03 Ibrahim Merad , Yiyang Yu , Emmanuel Bacry , Stéphane Gaïffas

We prove a convergence theorem for stochastic gradient descents on manifolds with adaptive learning rate and apply it to the weighted low-rank approximation problem.

最优化与控制 · 数学 2025-04-01 Peiqi Yang , Conglong Xu , Hao Wu

In this paper, we propose a generalized conditional gradient method for multiobjective optimization, which can be viewed as an improved extension of the classical Frank-Wolfe (conditional gradient) method for single-objective optimization.…

最优化与控制 · 数学 2025-03-25 Anteneh Getachew Gebrie , Ellen Hidemi Fukuda

In this work, we present a method for obtaining an implicit objective function for vision-based navigation. The proposed methodology relies on Imitation Learning, Model Predictive Control (MPC), and an interpretation technique used in Deep…

机器人学 · 计算机科学 2021-04-12 Keuntaek Lee , Bogdan Vlahov , Jason Gibson , James M. Rehg , Evangelos A. Theodorou

Meta learning with multiple objectives can be formulated as a Multi-Objective Bi-Level optimization Problem (MOBLP) where the upper-level subproblem is to solve several possible conflicting targets for the meta learner. However, existing…

机器学习 · 计算机科学 2021-02-16 Feiyang Ye , Baijiong Lin , Zhixiong Yue , Pengxin Guo , Qiao Xiao , Yu Zhang

Recently, adversarial imitation learning has shown a scalable reward acquisition method for inverse reinforcement learning (IRL) problems. However, estimated reward signals often become uncertain and fail to train a reliable statistical…

机器学习 · 计算机科学 2023-01-06 Dong-Sig Han , Hyunseo Kim , Hyundo Lee , Je-Hwan Ryu , Byoung-Tak Zhang

Inverse Reinforcement Learning infers a reward function from expert demonstrations, aiming to encode the behavior and intentions of the expert. Current approaches usually do this with generative and uni-modal models, meaning that they…

机器学习 · 计算机科学 2021-11-16 Niklas Freymuth , Philipp Becker , Gerhard Neumann

Reinforcement learning in complex environments is a challenging problem. In particular, the success of reinforcement learning algorithms depends on a well-designed reward function. Inverse reinforcement learning (IRL) solves the problem of…

机器学习 · 计算机科学 2021-01-20 Rakhoon Hwang , Hanjin Lee , Hyung Ju Hwang

We study inverse reinforcement learning (IRL) and imitation learning (IM), the problems of recovering a reward or policy function from expert's demonstrated trajectories. We propose a new way to improve the learning process by adding a…

机器学习 · 计算机科学 2022-08-23 The Viet Bui , Tien Mai , Patrick Jaillet

Numerous real-world applications of uncertain multiobjective optimization problems (UMOPs) can be found in science, engineering, business, and management. To handle the solution of uncertain optimization problems, robust optimization is a…

最优化与控制 · 数学 2025-03-11 Shubham Kumar , Nihar Kumar Mahatoa , Debdas Ghosh

In this work, we propose a novel inverse reinforcement learning (IRL) algorithm for constrained Markov decision process (CMDP) problems. In standard IRL problems, the inverse learner or agent seeks to recover the reward function of the MDP,…

机器学习 · 计算机科学 2024-01-08 Nirjhar Das , Arpan Chattopadhyay

When minimizing a multiobjective optimization problem (MOP) using multiobjective gradient descent methods, the imbalances among objective functions often decelerate the convergence. In response to this challenge, we propose two types of the…

最优化与控制 · 数学 2023-08-10 Jian Chen , Liping Tang , Xinmin Yang

In this paper we propose a variant of the random coordinate descent method for solving linearly constrained convex optimization problems with composite objective functions. If the smooth part of the objective function has Lipschitz…

最优化与控制 · 数学 2013-02-14 Ion Necoara , Andrei Patrascu

We study multi-objective optimization over probability distributions in Wasserstein space. Recently, Nguyen et al. (2025) introduced Multiple Wasserstein Gradient Descent (MWGraD) algorithm, which exploits the geometric structure of…

机器学习 · 计算机科学 2026-01-28 Dai Hai Nguyen , Duc Dung Nguyen , Atsuyoshi Nakamura , Hiroshi Mamitsuka

Various methods for solving the inverse reinforcement learning (IRL) problem have been developed independently in machine learning and economics. In particular, the method of Maximum Causal Entropy IRL is based on the perspective of entropy…

机器学习 · 计算机科学 2021-03-05 Navyata Sanghvi , Shinnosuke Usami , Mohit Sharma , Joachim Groeger , Kris Kitani

In inverse reinforcement learning (IRL), the central objective is to infer underlying reward functions from observed expert behaviors in a way that not only explains the given data but also generalizes to unseen scenarios. This ensures…

机器学习 · 计算机科学 2023-10-19 Ali Baheri