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We study the design of local algorithms for massive graphs. A local algorithm is one that finds a solution containing or near a given vertex without looking at the whole graph. We present a local clustering algorithm. Our algorithm finds a…

Data Structures and Algorithms · Computer Science 2008-09-19 Daniel A. Spielman , Shang-Hua Teng

In this paper, we discuss a method for identifying a seed word that would best represent a class of named entities in a graphical representation of words and their similarities. Word networks, or word graphs, are representations of…

Computation and Language · Computer Science 2018-07-13 Miguel Feria , Juan Paolo Balbin , Francis Michael Bautista

We study how to learn multiple dictionaries from a dataset, and approximate any data point by the sum of the codewords each chosen from the corresponding dictionary. Although theoretically low approximation errors can be achieved by the…

Computer Vision and Pattern Recognition · Computer Science 2015-01-06 Jianfeng Wang , Shuicheng Yan , Yi Yang , Mohan S Kankanhalli , Shipeng Li , Jingdong Wang

We give an overview of different approaches to measuring the similarity of, or the distance between, two graphs, highlighting connections between these approaches. We also discuss the complexity of computing the distances.

Discrete Mathematics · Computer Science 2025-03-19 Martin Grohe

We propose a novel distributed algorithm to cluster graphs. The algorithm recovers the solution obtained from spectral clustering without the need for expensive eigenvalue/vector computations. We prove that, by propagating waves through the…

Discrete Mathematics · Computer Science 2015-03-13 Tuhin Sahai , Alberto Speranzon , Andrzej Banaszuk

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2017-11-06 He Sun , Luca Zanetti

The goal of universal machine translation is to learn to translate between any pair of languages, given a corpus of paired translated documents for \emph{a small subset} of all pairs of languages. Despite impressive empirical results and an…

Machine Learning · Computer Science 2020-08-12 Han Zhao , Junjie Hu , Andrej Risteski

Artificial Neural networks are mathematical models at their core. This truismpresents some fundamental difficulty when networks are tasked with Natural Language Processing. A key problem lies in measuring the similarity or distance among…

Computation and Language · Computer Science 2021-06-07 Thomas Conley , Jugal Kalita

This paper proposes a simple but effective graph-based agglomerative algorithm, for clustering high-dimensional data. We explore the different roles of two fundamental concepts in graph theory, indegree and outdegree, in the context of…

Computer Vision and Pattern Recognition · Computer Science 2015-03-20 Wei Zhang , Xiaogang Wang , Deli Zhao , Xiaoou Tang

One of the major challenges that NLP faces is metaphor detection, especially by automatic means, a task that becomes even more difficult for languages lacking in linguistic resources and tools. Our purpose is the automatic differentiation…

Computation and Language · Computer Science 2019-02-12 Eirini Florou , Konstantinos Perifanos , Dionysis Goutsos

Distributional learning provides a framework for studying the learnability of structured languages from positive data. In this paper, we extend this framework to graph languages generated by fixed-interface clause systems. We formulate…

Formal Languages and Automata Theory · Computer Science 2026-04-30 Takayoshi Shoudai , Satoshi Matsumoto , Yusuke Suzuki , Tomoyuki Uchida

This thesis presents two similarity-based approaches to sparse data problems. The first approach is to build soft, hierarchical clusters: soft, because each event belongs to each cluster with some probability; hierarchical, because cluster…

cmp-lg · Computer Science 2008-02-03 Lillian Lee

There have been several efforts to extend distributional semantics beyond individual words, to measure the similarity of word pairs, phrases, and sentences (briefly, tuples; ordered sets of words, contiguous or noncontiguous). One way to…

Machine Learning · Computer Science 2013-10-21 Peter D. Turney

We propose a Label Propagation based algorithm for weakly supervised text classification. We construct a graph where each document is represented by a node and edge weights represent similarities among the documents. Additionally, we…

Computation and Language · Computer Science 2017-12-08 Sachin Pawar , Nitin Ramrakhiyani , Swapnil Hingmire , Girish K. Palshikar

Graph clustering is a fundamental technique in data analysis with applications in many different fields. While there is a large body of work on clustering undirected graphs, the problem of clustering directed graphs is much less understood.…

Physics and Society · Physics 2025-01-31 James Martin , Tim Rogers , Luca Zanetti

We present our experience in applying distributional semantics (neural word embeddings) to the problem of representing and clustering documents in a bilingual comparable corpus. Our data is a collection of Russian and Ukrainian academic…

Computation and Language · Computer Science 2016-04-20 Andrey Kutuzov , Mikhail Kopotev , Tatyana Sviridenko , Lyubov Ivanova

Local graph clustering methods aim to detect small clusters in very large graphs without the need to process the whole graph. They are fundamental and scalable tools for a wide range of tasks such as local community detection, node ranking…

Social and Information Networks · Computer Science 2023-06-14 Shenghao Yang , Kimon Fountoulakis

Most graph kernels are an instance of the class of $\mathcal{R}$-Convolution kernels, which measure the similarity of objects by comparing their substructures. Despite their empirical success, most graph kernels use a naive aggregation of…

Machine Learning · Computer Science 2019-10-31 Matteo Togninalli , Elisabetta Ghisu , Felipe Llinares-López , Bastian Rieck , Karsten Borgwardt

In low-resource multilingual speech-to-text translation, uniform architectural sharing across languages frequently introduces representation conflicts that impede convergence. This work proposes a principled methodology to automatically…

Computation and Language · Computer Science 2026-03-30 Ruiyan Sun , Satoshi Nakamura

In this paper, we develop semi-external and external memory algorithms for graph partitioning and clustering problems. Graph partitioning and clustering are key tools for processing and analyzing large complex networks. We address both…

Data Structures and Algorithms · Computer Science 2014-09-24 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz
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