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In this work, we investigate the effect of momentum on the optimisation trajectory of gradient descent. We leverage a continuous-time approach in the analysis of momentum gradient descent with step size $\gamma$ and momentum parameter…

机器学习 · 计算机科学 2024-03-11 Hristo Papazov , Scott Pesme , Nicolas Flammarion

Successful visual navigation depends upon capturing images that contain sufficient useful information. In this letter, we explore a data-driven approach to account for environmental lighting changes, improving the quality of images for use…

机器人学 · 计算机科学 2022-07-12 Justin Tomasi , Brandon Wagstaff , Steven L. Waslander , Jonathan Kelly

A new wave energy device features a submerged ballasted air bag connected at the top to a rigid float. Under wave action, the bag expands and contracts, creating a reciprocating air flow through a turbine between the bag and another volume…

流体动力学 · 物理学 2017-06-21 A. Kurniawan , J. R. Chaplin , M. R. Hann , D. M. Greaves , F. J. M. Farley

Dynamic and continuous jumping remains an open yet challenging problem in bipedal robot control. Real-time planning with full body dynamics over the entire jumping trajectory presents unsolved challenges in computation burden. In this…

机器人学 · 计算机科学 2024-09-24 Junheng Li , Omar Kolt , Quan Nguyen

The vertical trajectory optimization for the en route descent phase is studied in the presence of both along track and cross winds, which are both modeled as functions of altitude. The flight range covers some portion of a cruise segment…

最优化与控制 · 数学 2015-08-11 Sang Gyun Park , John-Paul Clarke

We propose a unifying framework for the automated computer-assisted worst-case analysis of cyclic block coordinate algorithms in the unconstrained smooth convex optimization setup. We compute exact worst-case bounds for the cyclic…

最优化与控制 · 数学 2022-12-01 Yassine Kamri , Julien M. Hendrickx , François Glineur

We consider the problem of quantum phase estimation with access to arbitrary measurements in a single suboptimal basis. The achievable sensitivity limit in this case is determined by the classical Cram\'{e}r-Rao bound with respect to the…

量子物理 · 物理学 2019-09-19 Manuel Gessner

Elastic waves of short wavelength propagating through the upper layer of the Earth appear to move faster at large separations of source and receiver than at short separations. This scale dependent velocity is a manifestation of Fermat's…

无序系统与神经网络 · 物理学 2007-05-23 J. Tworzydlo , C. W. J. Beenakker

This paper deals with the robust estimation problem of a signal given noisy observations. We assume that the actual statistics of the signal and observations belong to a ball about the nominal statistics. This ball is formed by placing a…

最优化与控制 · 数学 2017-05-02 Mattia Zorzi

Tail dependence models for distributions attracted to a max-stable law are fitted using observations above a high threshold. To cope with spatial, high-dimensional data, a rank-based M-estimator is proposed relying on bivariate margins…

统计方法学 · 统计学 2015-01-12 John Einmahl , Anna Kiriliouk , Andrea Krajina , Johan Segers

We consider the least-squares regression problem and provide a detailed asymptotic analysis of the performance of averaged constant-step-size stochastic gradient descent (a.k.a. least-mean-squares). In the strongly-convex case, we provide…

机器学习 · 计算机科学 2014-12-02 Alexandre Défossez , Francis Bach

Experiments on the motion of a particle on an inclined rough plane have yielded some surprising results. For example, it was found that the frictional force acting on the ball is viscous, {\it i.e.} proportional to the velocity rather than…

凝聚态物理 · 物理学 2009-10-28 G. G. Batrouni , S. Dippel , L. Samson

This paper studies a novel movable antenna (MA)-enhanced multiuser multiple-input multiple-output downlink system designed to improve wireless communication performance. We aim to maximize the average achievable sum rate through…

信息论 · 计算机科学 2025-09-05 Xintai Chen , Biqian Feng , Yongpeng Wu , Derrick Wing Kwan Ng , Robert Schober

For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction…

物理与社会 · 物理学 2007-05-23 Armin Seyfried , Bernhard Steffen , Thomas Lippert

Bike usage in Smart Cities becomes paramount for sustainable urban development. Cycling provides tremendous opportunities for a more healthy lifestyle, lower energy consumption and carbon emissions as well as reduction of traffic jams.…

计算机与社会 · 计算机科学 2019-05-22 David Castells-Graells , Christopher Salahub , Evangelos Pournaras

We study the convergence of accelerated stochastic gradient descent for strongly convex objectives under the growth condition, which states that the variance of stochastic gradient is bounded by a multiplicative part that grows with the…

最优化与控制 · 数学 2023-11-01 You-Lin Chen , Sen Na , Mladen Kolar

The problem of biped locomotion at steady speeds is discussed through a Lagrangian formulation developed for velocity-dependent, body driving forces. Human walking on a level surface is analyzed in terms of the data on the resultant…

生物物理 · 物理学 2013-05-29 Valery B. Kokshenev

In this paper, we study when we might expect the optimization curve induced by gradient descent to be \emph{convex} -- precluding, for example, an initial plateau followed by a sharp decrease, making it difficult to decide when optimization…

最优化与控制 · 数学 2025-07-01 Guy Barzilai , Ohad Shamir , Moslem Zamani

In this contribution first results of experiments on pedestrian flow through bottlenecks are presented and then compared to simulation results obtained with the Social Force Model in the Vissim simulation framework. Concerning the…

多智能体系统 · 计算机科学 2008-09-10 Tobias Kretz , Stefan Hengst , Peter Vortisch

The augmentation of algorithms with predictions of the optimal solution, such as from a machine-learning algorithm, has garnered significant attention in recent years, particularly in facility location problems. Moving beyond the…

计算机科学与博弈论 · 计算机科学 2026-02-05 Haris Aziz , Yuhang Guo , Alexander Lam , Houyu Zhou