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The need for an ontological layer on top of data, associated with advanced reasoning mechanisms able to exploit the semantics encoded in ontologies, has been acknowledged both in the database and knowledge representation communities. We…

人工智能 · 计算机科学 2014-12-16 Sebastian Rudolph , Michaël Thomazo , Jean-François Baget , Marie-Laure Mugnier

In this work, we initiate a thorough study of parameterized graph optimization problems in the distributed setting. In a parameterized problem, an algorithm decides whether a solution of size bounded by a \emph{parameter} $k$ exists and if…

分布式、并行与集群计算 · 计算机科学 2018-08-07 Ran Ben-Basat , Ken-ichi Kawarabayashi , Gregory Schwartzman

The current paper investigates the bounded distance decoding (BDD) problem for ensembles of lattices whose generator matrices have sub-Gaussian entries. We first prove that, for these ensembles the BDD problem is NP-hard in the worst case.…

计算复杂性 · 计算机科学 2025-06-23 Shuhong Gao

We give an FPTAS for computing the number of matchings of size $k$ in a graph $G$ of maximum degree $\Delta$ on $n$ vertices, for all $k \le (1-\delta)m^*(G)$, where $\delta>0$ is fixed and $m^*(G)$ is the matching number of $G$, and an…

数据结构与算法 · 计算机科学 2021-08-04 Vishesh Jain , Will Perkins , Ashwin Sah , Mehtaab Sawhney

Federated Learning (FL) is an intriguing distributed machine learning approach due to its privacy-preserving characteristics. To balance the trade-off between energy and execution latency, and thus accommodate different demands and…

机器学习 · 计算机科学 2025-09-12 Xinyu Zhou , Jun Zhao , Huimei Han , Claude Guet

Lattice Green's Functions (LGFs) are fundamental solutions to discretized linear operators, and as such they are a useful tool for solving discretized elliptic PDEs on domains that are unbounded in one or more directions. The majority of…

数值分析 · 数学 2025-04-01 James Gabbard , Wim M. van Rees

We consider the problem of maximizing a non-negative submodular set function $f:2^N \rightarrow \mathbb{R}_+$ over a ground set $N$ subject to a variety of packing type constraints including (multiple) matroid constraints, knapsack…

离散数学 · 计算机科学 2014-08-14 Chandra Chekuri , Jan Vondrák , Rico Zenklusen

Gaussian Graphical Models (GGMs) or Gauss Markov random fields are widely used in many applications, and the trade-off between the modeling capacity and the efficiency of learning and inference has been an important research problem. In…

机器学习 · 计算机科学 2013-11-12 Ying Liu , Alan S. Willsky

Consider a planar graph $G=(V,E)$ with polynomially bounded edge weight function $w:E\to [0, poly(n)]$. The main results of this paper are NC algorithms for the following problems: - minimum weight perfect matching in $G$, - maximum…

数据结构与算法 · 计算机科学 2018-04-20 Piotr Sankowski

Bounds on the log partition function are important in a variety of contexts, including approximate inference, model fitting, decision theory, and large deviations analysis. We introduce a new class of upper bounds on the log partition…

机器学习 · 计算机科学 2013-01-07 Martin Wainwright , Tommi S. Jaakkola , Alan Willsky

In a standard $f$-connectivity network design problem, we are given an undirected graph $G=(V,E)$, a cut-requirement function $f:2^V \rightarrow {\mathbb{N}}$, and non-negative costs $c(e)$ for all $e \in E$. We are then asked to find a…

最优化与控制 · 数学 2016-04-26 Andreas Emil Feldmann , Jochen Könemann , Kanstantsin Pashkovich , Laura Sanità

In the last few years, much effort has been devoted to developing join algorithms in order to achieve worst-case optimality for join queries over relational databases. Towards this end, the database community has had considerable success in…

数据库 · 计算机科学 2020-03-02 Shaleen Deep , Xiao Hu , Paraschos Koutris

This paper introduces an efficient approach to solve quadratic and nonlinear programming problems subject to linear equality constraints via the Theory of Functional Connections. This is done without using the traditional Lagrange…

数值分析 · 数学 2022-08-26 Tina Mai , Daniele Mortari

The problem of maximizing non-negative submodular functions has been studied extensively in the last few years. However, most papers consider submodular set functions. Recently, several advances have been made for the more general case of…

离散数学 · 计算机科学 2016-11-29 Corinna Gottschalk , Britta Peis

We study the mixing properties of an important optimization algorithm of machine learning: the stochastic gradient Langevin dynamics (SGLD) with a fixed step size. The data stream is not assumed to be independent hence the SGLD is not a…

概率论 · 数学 2023-08-01 Attila Lovas , Miklós Rásonyi

We consider the problem of finding the minimal-size factorization of the provenance of self-join-free conjunctive queries, i.e., we want to find a formula that minimizes the number of variable repetitions. This problem is equivalent to…

数据库 · 计算机科学 2024-05-15 Neha Makhija , Wolfgang Gatterbauer

In this paper, we address the problem of designing an experimental plan with both discrete and continuous factors under fairly general parametric statistical models. We propose a new algorithm, named ForLion, to search for locally optimal…

统计计算 · 统计学 2024-05-24 Yifei Huang , Keren Li , Abhyuday Mandal , Jie Yang

In this paper, we study the problem of monotone (weakly) DR-submodular continuous maximization. While previous methods require the gradient information of the objective function, we propose a derivative-free algorithm LDGM for the first…

机器学习 · 计算机科学 2019-02-26 Yibo Zhang , Chao Qian , Ke Tang

The key to reconciling the polynomial-time intractability of many machine learning tasks in the worst case with the surprising solvability of these tasks by heuristic algorithms in practice seems to be exploiting restrictions on real-world…

机器学习 · 计算机科学 2022-05-11 Todd Wareham

Estimating the output size of a query is a fundamental yet longstanding problem in database query processing. Traditional cardinality estimators used by database systems can routinely underestimate the true output size by orders of…

数据库 · 计算机科学 2024-06-07 Mahmoud Abo Khamis , Vasileios Nakos , Dan Olteanu , Dan Suciu