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Scaling laws describe how learning performance improves with data, compute, or training time, and have become a central theme in modern deep learning. We study this phenomenon in a canonical nonlinear model: phase retrieval with anisotropic…

机器学习 · 统计学 2025-11-25 Guillaume Braun , Bruno Loureiro , Ha Quang Minh , Masaaki Imaizumi

Real-time high-accuracy optical flow estimation is a crucial component in various applications, including localization and mapping in robotics, object tracking, and activity recognition in computer vision. While recent learning-based…

计算机视觉与模式识别 · 计算机科学 2024-03-18 Zhiyong Zhang , Huaizu Jiang , Hanumant Singh

This paper considers online convex optimization with time-varying constraint functions. Specifically, we have a sequence of convex objective functions $\{f_t(x)\}_{t=0}^{\infty}$ and convex constraint functions…

最优化与控制 · 数学 2017-02-20 Michael J. Neely , Hao Yu

Oblivious routing is a well-studied paradigm that uses static precomputed routing tables for selecting routing paths within a network. Existing oblivious routing schemes with polylogarithmic competitive ratio for general networks are…

数据结构与算法 · 计算机科学 2023-12-14 Gramoz Goranci , Monika Henzinger , Harald Räcke , Sushant Sachdeva , A. R. Sricharan

The Self-Optimization (SO) model is a useful computational model for investigating self-organization in "soft" Artificial life (ALife) as it has been shown to be general enough to model various complex adaptive systems. So far, existing…

适应与自组织系统 · 物理学 2023-04-07 Natalya Weber , Werner Koch , Tom Froese

We obtain a criterion for pulsating front speed-up by general periodic incompressible flows in two dimensions and in the presence of KPP nonlinearities. We achieve this by showing that the ratio of the minimal front speed and the effective…

偏微分方程分析 · 数学 2007-05-23 Lenya Ryzhik , Andrej Zlatos

The solution to an optimal power flow (OPF) problem provides a minimum cost operating point for an electric power system. The performance of OPF solution techniques strongly depends on the problem's feasible space. This paper presents an…

最优化与控制 · 数学 2016-08-03 Daniel K. Molzahn

In the unsplittable flow problem on a path, we are given a capacitated path $P$ and $n$ tasks, each task having a demand, a profit, and start and end vertices. The goal is to compute a maximum profit set of tasks, such that for each edge…

数据结构与算法 · 计算机科学 2015-03-19 Paul Bonsma , Jens Schulz , Andreas Wiese

Nonlinear power flow constraints render a variety of power system optimization problems computationally intractable. Emerging research shows, however, that the nonlinear AC power flow equations can be successfully modeled using Neural…

机器学习 · 计算机科学 2021-11-01 Alyssa Kody , Samuel Chevalier , Spyros Chatzivasileiadis , Daniel Molzahn

We present an algorithm for computing $s$-$t$ maximum flows in directed graphs in $\widetilde{O}(m^{4/3+o(1)}U^{1/3})$ time. Our algorithm is inspired by potential reduction interior point methods for linear programming. Instead of using…

数据结构与算法 · 计算机科学 2020-09-08 Tarun Kathuria

We study classical deadline-based preemptive scheduling of tasks in a computing environment equipped with both dynamic speed scaling and sleep state capabilities: Each task is specified by a release time, a deadline and a processing volume,…

数据结构与算法 · 计算机科学 2014-07-04 Antonios Antoniadis , Chien-Chung Huang , Sebastian Ott

Optimal power flow (OPF) is one of the fundamental tasks for power system operations. While machine learning (ML) approaches such as deep neural networks (DNNs) have been widely studied to enhance OPF solution speed and performance, their…

机器学习 · 计算机科学 2026-01-07 Xinyi Liu , Xuan He , Yize Chen

We consider the following node-capacitated network design problem. The input is an undirected graph, set of demands, uniform node capacity and arbitrary node costs. The goal is to find a minimum node-cost subgraph that supports all demands…

数据结构与算法 · 计算机科学 2024-03-12 Ravishankar Krishnaswamy , Viswanath Nagarajan , Kirk Pruhs , Cliff Stein

The problem of minimizing the Potts energy function frequently occurs in computer vision applications. One way to tackle this NP-hard problem was proposed by Kovtun [19,20]. It identifies a part of an optimal solution by running $k$ maxflow…

计算机视觉与模式识别 · 计算机科学 2013-10-08 Igor Gridchyn , Vladimir Kolmogorov

This paper presents a scalable method for improving the solutions of AC Optimal Power Flow (AC OPF) with respect to deviations in predicted power injections from wind and other uncertain generation resources. The focus of the paper is on…

系统与控制 · 计算机科学 2019-01-10 Miles Lubin , Yury Dvorkin , Line Roald

Unsupervised deep learning for optical flow computation has achieved promising results. Most existing deep-net based methods rely on image brightness consistency and local smoothness constraint to train the networks. Their performance…

计算机视觉与模式识别 · 计算机科学 2022-07-15 Yiran Zhong , Pan Ji , Jianyuan Wang , Yuchao Dai , Hongdong Li

We consider the optimal online packet scheduling problem in a single-user energy harvesting wireless communication system, where energy is harvested from natural renewable sources, making future energy arrivals instants and amounts random…

信息论 · 计算机科学 2012-11-22 Rahul Vaze

We study the computation of the flow of water on imprecise terrains. We consider two approaches to modeling flow on a terrain: one where water flows across the surface of a polyhedral terrain in the direction of steepest descent, and one…

计算几何 · 计算机科学 2012-09-27 Anne Driemel , Herman J. Haverkort , Maarten Löffler , Rodrigo Silveira

Online convex optimization is a sequential prediction framework with the goal to track and adapt to the environment through evaluating proper convex loss functions. We study efficient particle filtering methods from the perspective of such…

机器学习 · 计算机科学 2018-07-23 Mahdi Azarafrooz

We derive the bias function that minimizes the statistical error of free energy differences calculated in work-biased fast-switching simulations. The optimum bias function is compared to other bias functions using a particle pulled through…

统计力学 · 物理学 2009-11-13 Harald Oberhofer , Christoph Dellago