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Related papers: Distance Oracles for Time-Dependent Networks

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Distributed stochastic non-convex optimization problems have recently received attention due to the growing interest of signal processing, computer vision, and natural language processing communities in applications deployed over…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

We show how to preprocess a weighted undirected $n$-vertex planar graph in $\tilde O(n^{4/3})$ time, such that the distance between any pair of vertices can then be reported in $\tilde O(1)$ time. This improves the previous $\tilde…

Data Structures and Algorithms · Computer Science 2025-03-25 Itai Boneh , Shay Golan , Shay Mozes , Daniel Prigan , Oren Weimann

We study recovering a 1D order from a noisy, locally sampled pairwise comparison matrix under a tight query budget. We recast the task as reconstructing a sparse, noisy line graph and present, to our knowledge, the first method that…

Data Structures and Algorithms · Computer Science 2025-11-13 Fuming Yang , Yaron Meirovitch , Jeff W. Lichtman

Given an undirected unweighted graph $G$ and a source set $S$ of $|S| = \sigma $ sources, we want to build a data structure which can process the following query {\sc Q}$(s,t,e):$ find the shortest distance from $s$ to $t$ avoiding an edge…

Data Structures and Algorithms · Computer Science 2018-05-02 Manoj Gupta , Aditi Singh

All known algorithms for the Fr\'echet distance between curves proceed in two steps: first, they construct an efficient oracle for the decision version; second, they use this oracle to find the optimum from a finite set of critical values.…

Computational Geometry · Computer Science 2016-08-11 Kevin Buchin , Maike Buchin , Rolf van Leusden , Wouter Meulemans , Wolfgang Mulzer

Time series data is often composed of information at multiple time scales, particularly in biomedical data. While numerous deep learning strategies exist to capture this information, many make networks larger, require more data, are more…

Machine Learning · Computer Science 2025-01-22 Trevor Meyer , Camden Shultz , Najim Dehak , Laureano Moro-Velazquez , Pedro Irazoqui

Mastering deep reinforcement learning (DRL) proves challenging in tasks featuring scant rewards. These limited rewards merely signify whether the task is partially or entirely accomplished, necessitating various exploration actions before…

Machine Learning · Computer Science 2024-04-11 Guojian Wang , Faguo Wu , Xiao Zhang

In this paper, our aim is to analyse the generalization capabilities of first-order methods for statistical learning in multiple, different yet related, scenarios including supervised learning, transfer learning, robust learning and…

Machine Learning · Computer Science 2024-07-02 Kevin Scaman , Mathieu Even , Batiste Le Bars , Laurent Massoulié

The classical algorithms for online learning and decision-making have the benefit of achieving the optimal performance guarantees, but suffer from computational complexity limitations when implemented at scale. More recent sophisticated…

Machine Learning · Computer Science 2022-10-19 Guanghui Wang , Zihao Hu , Vidya Muthukumar , Jacob Abernethy

We propose a multi-frequency algorithm for imaging the trajectory of a moving point source from one and sparse far-field observation directions in the frequency domain. The starting and terminal time points of the moving source are both…

Numerical Analysis · Mathematics 2025-08-25 Hongxia Guo , Guanghui Hu , Guanqiu Ma

Given two distributions $\mathcal{P}$ and $\mathcal{Q}$ over a high-dimensional domain $\{0,1\}^n$, and a parameter $\varepsilon$, the goal of distance estimation is to determine the statistical distance between $\mathcal{P}$ and…

Data Structures and Algorithms · Computer Science 2025-09-09 Gunjan Kumar , Kuldeep S. Meel , Yash Pote

We consider the problem of efficiently scheduling jobs with precedence constraints on a set of identical machines in the presence of a uniform communication delay. Such precedence-constrained jobs can be modeled as a directed acyclic graph,…

Data Structures and Algorithms · Computer Science 2022-02-01 Quanquan C. Liu , Manish Purohit , Zoya Svitkina , Erik Vee , Joshua R. Wang

In Internet environment, traffic flow to a link is typically modeled by superposition of ON/OFF based sources. During each ON-period for a particular source, packets arrive according to a Poisson process and packet sizes (hence service…

Probability · Mathematics 2015-08-28 Wanyang Dai

This paper considers a wireless link with randomly arriving data that is queued and served over a time-varying channel. It is known that any algorithm that comes within $\epsilon$ of the minimum average power required for queue stability…

Optimization and Control · Mathematics 2014-11-19 Michael J. Neely

We give an algorithm that computes exact maximum flows and minimum-cost flows on directed graphs with $m$ edges and polynomially bounded integral demands, costs, and capacities in $m^{1+o(1)}$ time. Our algorithm builds the flow through a…

Data Structures and Algorithms · Computer Science 2022-04-26 Li Chen , Rasmus Kyng , Yang P. Liu , Richard Peng , Maximilian Probst Gutenberg , Sushant Sachdeva

We revisit the classic task of finding the shortest tour of $n$ points in $d$-dimensional Euclidean space, for any fixed constant $d \geq 2$. We determine the optimal dependence on $\varepsilon$ in the running time of an algorithm that…

Computational Geometry · Computer Science 2024-09-13 Sándor Kisfaludi-Bak , Jesper Nederlof , Karol Węgrzycki

In this paper we show that set-intersection is harder than distance oracle on sparse graphs. Given a collection of total size n which consists of m sets drawn from universe U, the set-intersection problem is to build a data structure which…

Data Structures and Algorithms · Computer Science 2010-06-08 Hagai Cohen , Ely Porat

Let $P \subset \mathbb{R}^d$ be a set of $n$ points in $d$ dimensions such that each point $p \in P$ has an associated radius $r_p > 0$. The transmission graph $G$ for $P$ is the directed graph with vertex set $P$ such that there is an edge…

Computational Geometry · Computer Science 2020-03-13 Haim Kaplan , Wolfgang Mulzer , Liam Roditty , Paul Seiferth

We present ORACLE, the first hierarchical deep-learning model for real-time, context-aware classification of transient and variable astrophysical phenomena. ORACLE is a recurrent neural network with Gated Recurrent Units (GRUs), and has…

Instrumentation and Methods for Astrophysics · Physics 2025-12-04 Ved G. Shah , Alex Gagliano , Konstantin Malanchev , Gautham Narayan , Alex I. Malz , The LSST Dark Energy Science Collaboration

It is a critical issue to compute the shortest paths between nodes in networks. Exact algorithms for shortest paths are usually inapplicable for large scale networks due to the high computational complexity. In this paper, we propose a…

Social and Information Networks · Computer Science 2015-06-29 Shi-nan Gong , Duan-bing Chen , Hui Gao , Guan-nan Wang , Liang-wei Wang