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Harmonic potentials provide globally convergent potential fields that are provably free of local minima. Due to its analytical format, it is particularly suitable for generating safe and reliable robot navigation policies. However, for…

机器人学 · 计算机科学 2024-11-11 Shuaikang Wang , Meng Guo

Optimization problems with continuous data appear in, e.g., robust machine learning, functional data analysis, and variational inference. Here, the target function is given as an integral over a family of (continuously) indexed target…

机器学习 · 计算机科学 2023-11-01 Kexin Jin , Jonas Latz , Chenguang Liu , Carola-Bibiane Schönlieb

Distributed optimization problems usually face inexact communication issues induced by channel noise, communication quantization or differential privacy protection. Most existing algorithms need a two-timescale setting of the stepsize of…

最优化与控制 · 数学 2026-03-03 Shengchao Zhao , Yongchao Liu

Many physical AI tasks are governed by implicit equilibrium: an agent actuates a subset of degrees of freedom (boundary DoFs), while the remaining free DoFs settle by minimizing a total potential energy. Even seemingly basic tasks such as…

机器人学 · 计算机科学 2026-05-06 Dezhong Tong , Jiawen Wang , Hengyi Zhou , Yinglong Shen , Xiaonan Huang , M. Khalid Jawed

We present a multilevel stochastic gradient descent method for the optimal control of systems governed by partial differential equations under uncertain input data. The gradient descent method used to find the optimal control leverages a…

最优化与控制 · 数学 2025-06-04 Niklas Baumgarten , David Schneiderhan

With the increasing scale and dynamics of data, distributed online optimization has become essential for real-time decision-making in various applications. However, existing algorithms often rely on bounded gradient assumptions and overlook…

机器学习 · 计算机科学 2025-08-29 Xinli Shi , Xingxing Yuan , Longkang Zhu , Guanghui Wen

This paper explores the development of learning-based tunable control gains using EMT-in-the-loop simulation framework (e.g., PSCAD interfaced with Python-based learning modules) to address critical sub-synchronous oscillations. Since…

系统与控制 · 电气工程与系统科学 2025-11-11 Sayak Mukherjee , Ramij R. Hossain , Kaustav Chatterjee , Sameer Nekkalapu , Marcelo Elizondo

This paper proposes a control method to address the physical Human-Robot Interaction (pHRI) challenge in the context of hierarchical tasks. A common approach to managing hierarchical tasks is Hierarchical Quadratic Programming (HQP), which,…

机器人学 · 计算机科学 2024-10-23 Mengxin Xu , Weiwei Wan , Hesheng Wang , Kensuke Harada

A major obstacle to achieving global convergence in distributed and federated learning is the misalignment of gradients across clients, or mini-batches due to heterogeneity and stochasticity of the distributed data. In this work, we show…

机器学习 · 计算机科学 2021-12-14 Yatin Dandi , Luis Barba , Martin Jaggi

The adaptive gradient online learning method known as AdaGrad has seen widespread use in the machine learning community in stochastic and adversarial online learning problems and more recently in deep learning methods. The method's…

机器学习 · 计算机科学 2016-10-05 Nishant A. Mehta , Alistair Rendell , Anish Varghese , Christfried Webers

In this paper, we proposed a new technique, {\em variance controlled stochastic gradient} (VCSG), to improve the performance of the stochastic variance reduced gradient (SVRG) algorithm. To avoid over-reducing the variance of gradient by…

机器学习 · 计算机科学 2021-02-22 Jia Bi , Steve R. Gunn

Adaptive gradient algorithms perform gradient-based updates using the history of gradients and are ubiquitous in training deep neural networks. While adaptive gradient methods theory is well understood for minimization problems, the…

最优化与控制 · 数学 2020-12-29 Mingrui Liu , Youssef Mroueh , Jerret Ross , Wei Zhang , Xiaodong Cui , Payel Das , Tianbao Yang

Adaptive gradient methods are typically used for training over-parameterized models. To better understand their behaviour, we study a simplistic setting -- smooth, convex losses with models over-parameterized enough to interpolate the data.…

机器学习 · 计算机科学 2021-02-22 Sharan Vaswani , Issam Laradji , Frederik Kunstner , Si Yi Meng , Mark Schmidt , Simon Lacoste-Julien

We present the remote stochastic gradient (RSG) method, which computes the gradients at configurable remote observation points, in order to improve the convergence rate and suppress gradient noise at the same time for different curvatures.…

机器学习 · 计算机科学 2020-09-08 Yushu Chen , Hao Jing , Wenlai Zhao , Zhiqiang Liu , Ouyi Li , Liang Qiao , Wei Xue , Guangwen Yang

Multimodal learning has developed very fast in recent years. However, during the multimodal training process, the model tends to rely on only one modality based on which it could learn faster, thus leading to inadequate use of other…

机器学习 · 计算机科学 2024-11-05 Zirun Guo , Tao Jin , Jingyuan Chen , Zhou Zhao

Stochastic Gradient Descent (SGD) is the standard numerical method used to solve the core optimization problem for the vast majority of machine learning (ML) algorithms. In the context of large scale learning, as utilized by many Big Data…

分布式、并行与集群计算 · 计算机科学 2015-10-06 Janis Keuper , Franz-Josef Pfreundt

Fine-tuning is the primary mechanism for adapting foundation models to downstream tasks; however, standard approaches largely optimize task objectives in isolation and do not account for secondary yet critical alignment objectives (e.g.,…

机器学习 · 计算机科学 2026-02-06 Gaurav Bhatt , Aditya Chinchure , Jiawei Zhou , Leonid Sigal

Fusing multiple modalities has proven effective for multimodal information processing. However, the incongruity between modalities poses a challenge for multimodal fusion, especially in affect recognition. In this study, we first analyze…

计算与语言 · 计算机科学 2023-11-14 Yaoting Wang , Yuanchao Li , Paul Pu Liang , Louis-Philippe Morency , Peter Bell , Catherine Lai

In multi-robot systems, achieving coordinated missions remains a significant challenge due to the coupled nature of coordination behaviors and the lack of global information for individual robots. To mitigate these challenges, this paper…

机器人学 · 计算机科学 2024-08-22 Zechen Hu , Daigo Shishika , Xuesu Xiao , Xuan Wang

Stochastic distributed optimization methods that solve an optimization problem over a multi-agent network have played an important role in a variety of large-scale signal processing and machine leaning applications. Among the existing…

最优化与控制 · 数学 2023-02-06 Songyang Ge , Tsung-Hui Chang
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