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This work provides the first finite-time convergence guarantees for linearly constrained stochastic bilevel optimization using only first-order methods, requiring solely gradient information without any Hessian computations or second-order…

Optimization and Control · Mathematics 2025-11-18 Cac Phan , Kai Wang

The Subgraph Isomorphism problem is of considerable importance in computer science. We examine the problem when the pattern graph H is of bounded treewidth, as occurs in a variety of applications. This problem has a well-known algorithm via…

Data Structures and Algorithms · Computer Science 2021-05-12 Karl Bringmann , Jasper Slusallek

In this paper, we present a new exact algorithm for counting perfect matchings, which relies on neither inclusion-exclusion principle nor tree-decompositions. For any bipartite graph of $2n$ nodes and $\Delta n$ edges such that $\Delta \geq…

Data Structures and Algorithms · Computer Science 2012-08-14 Taisuke Izumi , Tadashi Wadayama

The article studies edge coverage for control flow graphs extended with explicit constraints. Achieving a given level of white-box coverage for a given code is a classic problem in software testing. We focus on designing test sets that…

Computational Complexity · Computer Science 2026-02-24 Jakub Ruszil , Artur Polański , Adam Roman , Jakub Zelek

This paper is concerned with the analysis of elastic wave scattering of a time-harmonic plane wave by a biperiodic rigid surface, where the wave propagation is governed by the three-dimensional Navier equation. An exact transparent boundary…

Numerical Analysis · Mathematics 2016-11-18 Xue Jiang , Peijun Li , Junliang Lv , Weiying Zheng

In this work we revisit the elementary scheduling problem $1||\sum p_j U_j$. The goal is to select, among $n$ jobs with processing times and due dates, a subset of jobs with maximum total processing time that can be scheduled in sequence…

Data Structures and Algorithms · Computer Science 2025-07-23 Nick Fischer , Leo Wennmann

The pooling problem is a classical NP-hard problem in the chemical process and petroleum industries. This problem is modeled as a nonlinear, nonconvex network flow problem in which raw materials with different specifications are blended in…

Optimization and Control · Mathematics 2023-06-21 Mosayeb Jalilian , Burak Kocuk

On solving a convex-concave bilinear saddle-point problem (SPP), there have been many works studying the complexity results of first-order methods. These results are all about upper complexity bounds, which can determine at most how many…

Optimization and Control · Mathematics 2018-08-10 Yuyuan Ouyang , Yangyang Xu

We present the first non-trivial fully dynamic algorithm maintaining exact single-source distances in unweighted graphs. This resolves an open problem stated by Sankowski [COCOON 2005] and van den Brand and Nanongkai [FOCS 2019]. Previous…

Data Structures and Algorithms · Computer Science 2023-09-29 Jan van den Brand , Adam Karczmarz

We improve both upper and lower bounds for the distribution-free testing of monotone conjunctions. Given oracle access to an unknown Boolean function $f:\{0,1\}^n \rightarrow \{0,1\}$ and sampling oracle access to an unknown distribution…

Discrete Mathematics · Computer Science 2015-11-12 Xi Chen , Jinyu Xie

We consider the problem of online Min-cost Perfect Matching with Delays (MPMD) recently introduced by Emek et al, (STOC 2016). This problem is defined on an underlying $n$-point metric space. An adversary presents real-time requests online…

Data Structures and Algorithms · Computer Science 2016-10-18 Yossi Azar , Ashish Chiplunkar , Haim Kaplan

We propose and analyze a temporal concatenation heuristic for solving large-scale finite-horizon Markov decision processes (MDP), which divides the MDP into smaller sub-problems along the time horizon and generates an overall solution by…

Optimization and Control · Mathematics 2022-06-22 Ruiyang Song , Kuang Xu

The congested clique model of distributed computing has been receiving attention as a model for densely connected distributed systems. While there has been significant progress on the side of upper bounds, we have very little in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-25 Janne H. Korhonen , Jukka Suomela

In this paper, we present a Branch and Bound algorithm called QuickBB for computing the treewidth of an undirected graph. This algorithm performs a search in the space of perfect elimination ordering of vertices of the graph. The algorithm…

Data Structures and Algorithms · Computer Science 2012-07-19 Vibhav Gogate , Rina Dechter

We establish the optimal nonergodic sublinear convergence rate of the proximal point algorithm for maximal monotone inclusion problems. First, the optimal bound is formulated by the performance estimation framework, resulting in an infinite…

Optimization and Control · Mathematics 2019-07-15 Guoyong Gu , Junfeng Yang

We study the $c$-approximate near neighbor problem under the continuous Fr\'echet distance: Given a set of $n$ polygonal curves with $m$ vertices, a radius $\delta > 0$, and a parameter $k \leq m$, we want to preprocess the curves into a…

Computational Geometry · Computer Science 2021-11-05 Karl Bringmann , Anne Driemel , André Nusser , Ioannis Psarros

One approach for reducing run time and improving efficiency of machine learning is to reduce the convergence rate of the optimization algorithm used. Shuffling is an algorithm technique that is widely used in machine learning, but it only…

Machine Learning · Computer Science 2023-06-29 Yuetong Xu , Baharan Mirzasoleiman

The filtering-clustering models, including trend filtering and convex clustering, have become an important source of ideas and modeling tools in machine learning and related fields. The statistical guarantee of optimal solutions in these…

Machine Learning · Statistics 2022-01-26 Nhat Ho , Tianyi Lin , Michael I. Jordan

We consider the problem of collaborative tree exploration posed by Fraigniaud, Gasieniec, Kowalski, and Pelc where a team of $k$ agents is tasked to collectively go through all the edges of an unknown tree as fast as possible. Denoting by…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-01 Romain Cosson , Laurent Massoulié , Laurent Viennot

In Polyamorous Scheduling, we are given an edge-weighted graph and must find a periodic schedule of matchings in this graph which minimizes the maximal weighted waiting time between consecutive occurrences of the same edge. This NP-hard…

Data Structures and Algorithms · Computer Science 2024-11-12 Yuriy Biktairov , Leszek Gąsieniec , Wanchote Po Jiamjitrak , Namrata , Benjamin Smith , Sebastian Wild
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