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Phase-field models of fatigue are capable of reproducing the main phenomenology of fatigue behavior. However, phase-field computations in the high-cycle fatigue regime are prohibitively expensive, due to the need to resolve spatially the…

计算工程、金融与科学 · 计算机科学 2024-12-17 Jonas Heinzmann , Pietro Carrara , Marreddy Ambati , Amir Mohammad Mirzaei , Laura De Lorenzis

The Exponential Moving Average (EMA) is a cornerstone of widely used optimizers such as Adam. However, existing theoretical analyses of Adam-style methods have notable limitations: their guarantees can remain suboptimal in the zero-noise…

机器学习 · 计算机科学 2026-04-17 Ganzhao Yuan

We report peculiar velocity quantization phenomena in the classical motion of an idealized 1D solid lubricant, consisting of a harmonic chain interposed between two periodic sliders. The ratio v_cm/v_ext of the chain center-of-mass velocity…

材料科学 · 物理学 2009-11-11 Andrea Vanossi , Nicola Manini , Giorgio Divitini , Giuseppe E. Santoro , Erio Tosatti

We study the height of the maximal particle at time $t$ of a one dimensional branching Brownian motion with a space-dependent branching rate. The branching rate is set to zero in finitely many intervals (obstacles) of order $t$. We obtain…

概率论 · 数学 2022-07-08 Lisa Hartung , Michèle Lehnen

New scaling relations for the mean velocity and Reynolds shear stress in viscous sublayer were proposed based on the application of matched asymptotic expansion method to the mean momentum balance. It was shown that the new parameter…

流体动力学 · 物理学 2014-03-25 Dmitrii Ph. Sikovsky

We consider the problem of optimizing heat transport through an incompressible fluid layer. Modeling passive scalar transport by advection-diffusion, we maximize the mean rate of total transport by a divergence-free velocity field. Subject…

偏微分方程分析 · 数学 2019-09-18 Charles R. Doering , Ian Tobasco

Road conditions affect both machine and human powered modes of transportation. In the case of human powered transportation, poor road conditions increase the work for the individual to travel. Previous estimates for these parameters have…

机器学习 · 计算机科学 2018-09-27 Nitish Nag , Vaibhav Pandey , Aishwarya Manjunath , Avinash Vaka , Ramesh Jain

By viewing a velocity gradient in a fluid as an internal disturbance and treating it as a constraint on the wave function of a system, a linear evolution equation for the wave function is obtained from the Lagrange multiplier method. It…

统计力学 · 物理学 2012-11-13 M. -L. Zhang , D. A. Drabold

We introduce MVN-Grad (Momentum on Variance-Normalized Gradients), an Adam-style optimizer that improves stability and performance by combining two complementary ideas: variance-based normalization and momentum applied after normalization.…

机器学习 · 计算机科学 2026-02-12 Francisco Patitucci , Aryan Mokhtari

In this paper, I report some investigation discussing team selection, whence hierarchy, through ranking indicators, for example when measuring professional cyclist team's sportive value, in particular in multistage races. A logical, it…

物理与社会 · 物理学 2024-04-05 Marcel Ausloos

In the problem of influence maximization in information networks, the objective is to choose a set of initially active nodes subject to some budget constraints such that the expected number of active nodes over time is maximized. The linear…

社会与信息网络 · 计算机科学 2016-11-06 T. -H. Hubert Chan , Li Ning

Aiming to reduce pollutant emissions, bicycles are regaining popularity specially in urban areas. However, the number of cyclists' fatalities is not showing the same decreasing trend as the other traffic groups. Hence, monitoring cyclists'…

计算机视觉与模式识别 · 计算机科学 2017-04-26 Miguel Costa , Beatriz Quintino Ferreira , Manuel Marques

We consider minimizing a sum of agent-specific nondifferentiable merely convex functions over the solution set of a variational inequality (VI) problem in that each agent is associated with a local monotone mapping. This problem finds an…

最优化与控制 · 数学 2022-12-13 Harshal D. Kaushik , Sepideh Samadi , Farzad Yousefian

Variational Bayes (VB) is a critical method in machine learning and statistics, underpinning the recent success of Bayesian deep learning. The natural gradient is an essential component of efficient VB estimation, but it is prohibitively…

量子物理 · 物理学 2022-06-22 Anna Lopatnikova , Minh-Ngoc Tran

A Cahn-Hilliard equation with stochastic multiplicative noise and a random convection term is considered. The model describes isothermal phase-separation occurring in a moving fluid, and accounts for the randomness appearing at the…

偏微分方程分析 · 数学 2021-04-21 Luca Scarpa

Velocity distribution functions link the micro- and macro-level theories of fluid flow through porous media. Here we study them for the fluid absolute velocity and its longitudinal and lateral components relative to the macroscopic flow…

流体动力学 · 物理学 2016-01-20 Maciej Matyka , Jarosław Gołembiewski , Zbigniew Koza

Recently, Bohmian mechanics has been challenged [Nature 643, 67 (2025)] by studying a system in which the motion of particles cannot be associated only with the gradient of phase of the wave function. We point out that, in general, Bohmian…

量子物理 · 物理学 2025-07-14 Hrvoje Nikolic

Many organisms, from flies to humans, use visual signals to estimate their motion through the world. To explore the motion estimation problem, we have constructed a camera/gyroscope system that allows us to sample, at high temporal…

神经元与认知 · 定量生物学 2021-01-13 Shiva R. Sinha , William Bialek , Rob R. de Ruyter van Steveninck

The main topic of this paper is the analysis and modeling of stop-and-go waves, observable in experiments of single lane movement with pedestrians. The velocity density relation using measurements on a 'microscopic' scale shows the…

物理与社会 · 物理学 2010-03-30 Andrea Portz , Armin Seyfried

Support vector machine (SVM) is a powerful classification method that has achieved great success in many fields. Since its performance can be seriously impaired by redundant covariates, model selection techniques are widely used for SVM…

机器学习 · 统计学 2022-07-25 Chaoxia Yuan , Chao Ying , Zhou Yu , Fang Fang