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This paper presents a supervised learning method to generate continuous cost-to-go functions of non-holonomic systems directly from the workspace description. Supervision from informative examples reduces training time and improves network…

Robotics · Computer Science 2021-03-23 Jinwook Huh , Daniel D. Lee , Volkan Isler

We introduce a methodology to study the possible matter flows of an ecosystem defined by observational biomass data and realistic biological constraints. The flows belong to a polyhedron in a multi dimensional space making statistical…

Adaptation and Self-Organizing Systems · Physics 2021-02-04 Jean-Guy Caputo , Valerie Girardin , Arnaud Knippel , Hieu Nguyen , Nathalie Niquil , Quentin Nogues

Matrix completion tackles the task of predicting missing values in a low-rank matrix based on a sparse set of observed entries. It is often assumed that the observation pattern is generated uniformly at random or has a very specific…

Machine Learning · Statistics 2025-03-18 Yudong Chen , Xumei Xi , Christina Lee Yu

Studying the propagation of uncertainties in a nonlinear dynamical system usually involves generating a set of samples in the stochastic parameter space and then repeated simulations with different sampled parameters. The main difficulty…

Numerical Analysis · Mathematics 2017-09-19 Nan Jiang , Michael Schneier

Motivated by the problem of estimating bottleneck capacities on the Internet, we formulate and study the problem of vantage point selection. We are given a graph $G=(V, E)$ whose edges $E$ have unknown capacity values that are to be…

Data Structures and Algorithms · Computer Science 2025-06-27 Vikrant Ashvinkumar , Rezaul Chowdhury , Jie Gao , Mayank Goswami , Joseph S. B. Mitchell , Valentin Polishchuk

Many resource allocation problems in the cloud can be described as a basic Virtual Network Embedding Problem (VNEP): finding mappings of request graphs (describing the workloads) onto a substrate graph (describing the physical…

Networking and Internet Architecture · Computer Science 2018-03-14 Matthias Rost , Stefan Schmid

Objectives: Functional connectivity triggered by naturalistic stimulus (e.g., movies) and machine learning techniques provide a great insight in exploring the brain functions such as fluid intelligence. However, functional connectivity are…

Artificial Intelligence · Computer Science 2021-01-07 Xiaobo Liu , Su Yang

Energy saving is becoming an important issue in the design and use of computer networks. In this work we propose a problem that considers the use of rate adaptation as the energy saving strategy in networks. The problem is modeled as an…

Networking and Internet Architecture · Computer Science 2013-02-04 Lin Wang , Antonio Fernández Anta , Fa Zhang , Chenying Hou , Zhiyong Liu

Coflow is a network abstraction used to represent communication patterns in data centers. The coflow scheduling problem encountered in large data centers is a challenging $\mathcal{NP}$-hard problem. This paper tackles the scheduling…

Data Structures and Algorithms · Computer Science 2023-12-29 Chi-Yeh Chen

A proof of convergence is given for a novel evolving surface finite element semi-discretization of Willmore flow of closed two-dimensional surfaces, and also of surface diffusion flow. The numerical method proposed and studied here…

Numerical Analysis · Mathematics 2020-07-31 Balázs Kovács , Buyang Li , Christian Lubich

Data association problems are an important component of many computer vision applications, with multi-object tracking being one of the most prominent examples. A typical approach to data association involves finding a graph matching or…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Samuel Schulter , Paul Vernaza , Wongun Choi , Manmohan Chandraker

We devise the first constant-factor approximation algorithm for finding an integral multi-commodity flow of maximum total value for instances where the supply graph together with the demand edges can be embedded on an orientable surface of…

Data Structures and Algorithms · Computer Science 2021-12-14 Chien-chung Huang , Mathieu Mari , Claire Mathieu , Jens Vygen

We present a computationally efficient framework, called $\texttt{FlowDRO}$, for solving flow-based distributionally robust optimization (DRO) problems with Wasserstein uncertainty sets while aiming to find continuous worst-case…

Machine Learning · Computer Science 2024-02-27 Chen Xu , Jonghyeok Lee , Xiuyuan Cheng , Yao Xie

We consider the online unrelated-machine load balancing problem with recourse, where the algorithm is allowed to re-assign prior jobs. We give a $(2+\epsilon)$-competitive algorithm for the problem with $O_\epsilon(\log n)$ amortized…

Data Structures and Algorithms · Computer Science 2022-11-30 Ravishankar Krishnaswamy , Shi Li , Varun Suriyanarayana

The balanced hypergraph partitioning problem is to partition a hypergraph into $k$ disjoint blocks of bounded size such that the sum of the number of blocks connected by each hyperedge is minimized. We present an improvement to the…

Data Structures and Algorithms · Computer Science 2020-03-30 Lars Gottesbüren , Michael Hamann , Sebastian Schlag , Dorothea Wagner

The coflow scheduling problem has emerged as a popular abstraction in the last few years to study data communication problems within a data center. In this basic framework, each coflow has a set of communication demands and the goal is to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-18 Mosharaf Chowdhury , Samir Khuller , Manish Purohit , Sheng Yang , Jie You

We present an algebraic approach to the watershed adapted to edge or node weighted graphs. Starting with the flooding adjunction, we introduce the flooding graphs, for which node and edge weights may be deduced one from the other. Each node…

Computer Vision and Pattern Recognition · Computer Science 2012-04-16 Fernand Meyer

In this paper, we generalize the minimum flow decomposition problem (MFD) to incorporate uncertain edge capacities and tackle it from the perspective of robust optimization. In the classical flow decomposition problem, a network flow is…

Optimization and Control · Mathematics 2025-10-17 Moritz Stinzendörfer , Philine Schiewe , Fabricio Oliveira

Collective communications are ubiquitous in parallel applications. We present two new algorithms for performing a reduction. The operation associated with our reduction needs to be associative and commutative. The two algorithms are…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-18 Bradley R. Lowery , Julien Langou

We introduce a class of budgeted prize-collecting covering subgraph problems. For an input graph with prizes on the vertices and costs on the edges, the aim of these problems is to find a connected subgraph such that the cost of its edges…

Optimization and Control · Mathematics 2021-08-05 Nicola Morandi , Roel Leus , Hande Yaman
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