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The route planning problem based on the greedy algorithm represents a method of identifying the optimal or near-optimal route between a given start point and end point. In this paper, the PCA method is employed initially to downscale the…

人工智能 · 计算机科学 2024-10-23 Yiquan Wang

We analyze the performance of the greedy algorithm, and also a discrete semi-gradient based algorithm, for maximizing the sum of a suBmodular and suPermodular (BP) function (both of which are non-negative monotone non-decreasing) under two…

离散数学 · 计算机科学 2018-01-24 Wenruo Bai , Jeffrey A. Bilmes

In this paper, we address the challenge of differential privacy in the context of graph cuts, specifically focusing on the multiway cut and the minimum $k$-cut. We introduce edge-differentially private algorithms that achieve nearly optimal…

密码学与安全 · 计算机科学 2024-12-04 Rishi Chandra , Michael Dinitz , Chenglin Fan , Zongrui Zou

In this work we consider the problem of differentially private computation of quantiles for the data, especially the highest quantiles such as maximum, but with an unbounded range for the dataset. We show that this can be done efficiently…

数据结构与算法 · 计算机科学 2023-10-17 David Durfee

This paper employs a powerful argument, called an algorithmic argument, to prove lower bounds of the quantum query complexity of a multiple-block ordered search problem in which, given a block number i, we are to find a location of a target…

量子物理 · 物理学 2016-05-24 Harumichi Nishimura , Tomoyuki Yamakami

Many robotic systems deal with uncertainty by performing a sequence of information gathering actions. In this work, we focus on the problem of efficiently constructing such a sequence by drawing an explicit connection to submodularity.…

In this paper, we propose the greedy and random Broyden's method for solving nonlinear equations. Specifically, the greedy method greedily selects the direction to maximize a certain measure of progress for approximating the current…

数值分析 · 数学 2021-10-19 Haishan Ye , Dachao Lin , Zhihua Zhang

We study how an e-commerce firm should make real-time fulfillment decisions in a two-layer distribution network when multi-item customer orders arrive sequentially and future demand is unknown. The central managerial tension is whether to…

机器学习 · 计算机科学 2026-05-26 Xi Chen , Yuze Chen , Ziyi Chen , Yuan Zhou

Finding a maximum-weight matching is a classical and well-studied problem in computer science, solvable in cubic time in general graphs. We consider the specialization called assignment problem where the input is a bipartite graph, and…

数据结构与算法 · 计算机科学 2024-10-15 Romaric Duvignau , Noël Gillet , Ralf Klasing

We propose a locally differentially private graph clustering algorithm. Previous works have explored this problem, including approaches that apply spectral clustering to graphs generated via the randomized response algorithm. However, these…

数据结构与算法 · 计算机科学 2025-05-19 Vorapong Suppakitpaisarn , Sayan Mukherjee

In this article, we derive a novel convergence estimate for the weak POD-Greedy method with multiple POD modes and variable greedy thresholds in terms of the entropy numbers of the parametric solution manifold. Combining the POD with the…

数值分析 · 数学 2025-01-15 Yuwen Li , Yupeng Wang

Mobile edge computing (MEC) has empowered mobile devices (MDs) in supporting artificial intelligence (AI) applications through collaborative efforts with proximal MEC servers. Unfortunately, despite the great promise of device-edge…

系统与控制 · 电气工程与系统科学 2024-12-31 Wenhao Zhuang , Yuyi Mao

Kernel mean embedding is a useful tool to represent and compare probability measures. Despite its usefulness, kernel mean embedding considers infinite-dimensional features, which are challenging to handle in the context of differentially…

机器学习 · 计算机科学 2022-06-24 Margarita Vinaroz , Mohammad-Amin Charusaie , Frederik Harder , Kamil Adamczewski , Mijung Park

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

机器学习 · 计算机科学 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

We consider a class of multi-agent optimal coverage problems in which the goal is to determine the optimal placement of a group of agents in a given mission space so that they maximize a coverage objective that represents a blend of…

系统与控制 · 电气工程与系统科学 2024-03-26 Shirantha Welikala , Christos G. Cassandras

We present the notion of \emph{reasonable utility} for binary mechanisms, which applies to all utility functions in the literature. This notion induces a partial ordering on the performance of all binary differentially private (DP)…

Since Tinhofer proposed the MinGreedy algorithm for maximum cardinality matching in 1984, several experimental studies found the randomized algorithm to perform excellently for various classes of random graphs and benchmark instances. In…

数据结构与算法 · 计算机科学 2015-05-19 Bert Besser , Matthias Poloczek

Coded multicasting has been shown to improve the caching performance of content delivery networks with multiple caches downstream of a common multicast link. However, the schemes that have been shown to achieve order-optimal perfor- mance…

The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hypercube {0,1}^n, we show a lower bound of Omega(2^{n/4}/n) on…

量子物理 · 物理学 2007-05-23 Scott Aaronson

In this paper, we propose a novel offloading learning approach to compromise energy consumption and latency in multi-tier network with mobile edge computing. In order to solve this integer programming problem, instead of using conventional…

信息论 · 计算机科学 2019-12-10 Shuhan Zhu , Wei Xu , Lisheng Fan , Kezhi Wang , George K. Karagiannidis