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This paper presents a model for linguistic description based on group theory. A grammar in this model, or "G-grammar", is a collection of lexical expressions which are products of logical forms, phonological forms, and their inverses.…

cmp-lg · 计算机科学 2007-05-23 Marc Dymetman

We describe a computationally efficient, stochastic graph-regularization technique that can be utilized for the semi-supervised training of deep neural networks in a parallel or distributed setting. We utilize a technique, first described…

机器学习 · 统计学 2018-05-31 Sunil Thulasidasan , Jeffrey Bilmes , Garrett Kenyon

The maximization for the independence systems defined on graphs is a generalization of combinatorial optimization problems such as the maximum $b$-matching, the unweighted MAX-SAT, the matchoid, and the maximum timed matching problems. In…

数据结构与算法 · 计算机科学 2022-08-23 Yuki Amano

Bidimensionality is the most common technique to design subexponential-time parameterized algorithms on special classes of graphs, particularly planar graphs. The core engine behind it is a combinatorial lemma of Robertson, Seymour and…

数据结构与算法 · 计算机科学 2019-03-05 Fedor V. Fomin , Daniel Lokshtanov , Fahad Panolan , Saket Saurabh , Meirav Zehavi

A generally intelligent learner should generalize to more complex tasks than it has previously encountered, but the two common paradigms in machine learning -- either training a separate learner per task or training a single learner for all…

机器学习 · 计算机科学 2019-05-09 Michael B. Chang , Abhishek Gupta , Sergey Levine , Thomas L. Griffiths

Graph-based representations such as Scene Graphs enable localization in structured indoor environments by matching a locally observed graph, constructed from sensor data, to a prior map. This process is particularly challenging in…

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

社会与信息网络 · 计算机科学 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan

We present a graph-regularized learning of Gaussian Mixture Models (GMMs) in distributed settings with heterogeneous and limited local data. The method exploits a provided similarity graph to guide parameter sharing among nodes, avoiding…

机器学习 · 计算机科学 2025-09-18 Shamsiiat Abdurakhmanova , Alex Jung

This paper proposes an organized generalization of Newman and Girvan's modularity measure for graph clustering. Optimized via a deterministic annealing scheme, this measure produces topologically ordered graph clusterings that lead to…

机器学习 · 统计学 2010-09-08 Fabrice Rossi , Nathalie Villa-Vialaneix

We study non-terminating graph rewriting models, whose local rules are applied non-deterministically -- and yet enjoy a strong form of determinism, namely space-time determinism. Of course in the case of terminating computation it is…

离散数学 · 计算机科学 2024-10-08 Pablo Arrighi , Marin Costes , Gilles Dowek , Luidnel Maignan

Series-parallel (SP) graphs are binary edge-labeled graphs with a designated source and target vertex, built using serial and parallel composition. A set of graphs is recognizable if membership depends only on its image under a homomorphism…

形式语言与自动机理论 · 计算机科学 2026-04-28 Marius Bozga , Radu Iosif , Florian Zuleger

This article is concerned with automating the decreasing diagrams technique of van Oostrom for establishing confluence of term rewrite systems. We study abstract criteria that allow to lexicographically combine labelings to show local…

计算机科学中的逻辑 · 计算机科学 2015-01-06 Harald Zankl , Bertram Felgenhauer , Aart Middeldorp

Hyperfiniteness or amenability of measurable equivalence relations and group actions has been studied for almost fifty years. Recently, unexpected applications of hyperfiniteness were found in computer science in the context of testability…

泛函分析 · 数学 2012-05-31 Gabor Elek

This note attempts to understand graph limits as defined by Lovasz and Szegedy (2006)} in terms of harmonic analysis on semigroups. This is done by representing probability distributions of random exchangeable graphs as mixtures of…

统计理论 · 数学 2020-08-11 Steffen Lauritzen

Graphs are used to represent and analyze data in domains as diverse as physics, biology, chemistry, planetary science, and the social sciences. Across domains, random graph models relate generative processes to expected graph properties,…

物理与社会 · 物理学 2025-09-12 Cole Mathis , Harrison B. Smith

Representation learning has recently been successfully used to create vector representations of entities in language learning, recommender systems and in similarity learning. Graph embeddings exploit the locality structure of a graph and…

机器学习 · 计算机科学 2020-02-24 Shalin Shah , Venkataramana Kini

An Abstract Graph Machine(AGM) is an abstract model for distributed memory parallel stabilizing graph algorithms. A stabilizing algorithm starts from a particular initial state and goes through series of different state changes until it…

分布式、并行与集群计算 · 计算机科学 2016-04-29 Thejaka Amila Kanewala , Marcin Zalewski , Andrew Lumsdaine

Matrix Graph Grammars (MGG) is a novel approach to the study of graph dynamics ([15]). In the present contribution we look at MGG as a formal grammar and as a model of computation, which is a necessary step in the more ambitious program of…

离散数学 · 计算机科学 2009-11-16 Pedro Pablo Perez Velasco

I define a "group graph" which encodes the symmetry in a dynamical process on a network. Group graphs extend signed networks, where links are labelled with plus or minus one, by allowing link labels from any group and generalising the…

物理与社会 · 物理学 2025-07-18 Tim S. Evans

Graph translation is very promising research direction and has a wide range of potential real-world applications. Graph is a natural structure for representing relationship and interactions, and its translation can encode the intrinsic…

机器学习 · 计算机科学 2021-03-17 Tianxiang Zhao , Xianfeng Tang , Xiang Zhang , Suhang Wang