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In this paper we provide a principled approach to solve a transductive classification problem involving a similar graph (edges tend to connect nodes with same labels) and a dissimilar graph (edges tend to connect nodes with opposing…

Machine Learning · Computer Science 2012-06-27 Sundararajan Sellamanickam , Sathiya Keerthi Selvaraj

We use modular arithmetic to construct a de Bruijn array containing all fillings of an L (a 2 x 2 array with the upper right corner removed) with digits chosen from {0,...,k-1}.

Combinatorics · Mathematics 2013-09-04 Lara Pudwell , Rachel Rockey

The study of strings is an important combinatorial field that precedes the digital computer. Strings can be very long, trillions of letters, so it is important to find compact representations. Here we first survey various forms of one…

Data Structures and Algorithms · Computer Science 2026-04-08 Neerja Mhaskar , W. F. Smyth

After a model is deployed on edge devices, it is desirable for these devices to learn from unlabeled data to continuously improve accuracy. Contrastive learning has demonstrated its great potential in learning from unlabeled data. However,…

Machine Learning · Computer Science 2021-06-08 Yawen Wu , Zhepeng Wang , Dewen Zeng , Yiyu Shi , Jingtong Hu

We study strategies of approximate pattern matching that exploit bidirectional text indexes, extending and generalizing ideas of Lam et al. We introduce a formalism, called search schemes, to specify search strategies of this type, then…

Data Structures and Algorithms · Computer Science 2015-09-08 Gregory Kucherov , Kamil Salikhov , Dekel Tsur

We consider the challenge of preference elicitation in systems that help users discover the most desirable item(s) within a given database. Past work on preference elicitation focused on structured models that provide a factored…

Artificial Intelligence · Computer Science 2012-07-19 Ronen I. Brafman , Carmel Domshlak , Tanya Kogan

We introduce the idea of an n-simplex graph and games upon simplicial complexes. We then define moves on a labeled graph and pose the problem of whether given two labelings of a graph it is possible to change one into another via these…

Combinatorics · Mathematics 2007-05-23 Marc Zucker

A de Bruijn sequence of order n over a k-symbol alphabet is a circular sequence where each length-n sequence occurs exactly once. We present a way of extending de Bruijn sequences by adding a new symbol to the alphabet: the extension is…

Discrete Mathematics · Computer Science 2020-11-23 Verónica Becher , Lucas Cortés

We consider the problem of correlation clustering on graphs with constraints on both the cluster sizes and the positive and negative weights of edges. Our contributions are twofold: First, we introduce the problem of correlation clustering…

Machine Learning · Computer Science 2015-05-25 Gregory J. Puleo , Olgica Milenkovic

Verifying the veracity of claims requires reasoning over a large knowledge base, often in the form of corpora of trustworthy sources. A common approach consists in retrieving short portions of relevant text from the reference documents and…

Information Retrieval · Computer Science 2021-09-14 Misael Mongiovì , Aldo Gangemi

The ability to handle large scale graph data is crucial to an increasing number of applications. Much work has been dedicated to supporting basic graph operations such as subgraph matching, reachability, regular expression matching, etc. In…

Databases · Computer Science 2012-05-31 Zhao Sun , Hongzhi Wang , Haixun Wang , Bin Shao , Jianzhong Li

In this paper, we extend the sampling theory on graphs by constructing a framework that exploits the structure in product graphs for efficient sampling and recovery of bandlimited graph signals that lie on them. Product graphs are graphs…

Information Theory · Computer Science 2018-09-27 Rohan Varma , Jelena Kovačević

A well-known result of Alon shows that the coloring number of a graph is bounded by a function of its choosability. We explore this relationship in a more general setting with relaxed assumptions on color classes, encoded by a graph…

Combinatorics · Mathematics 2019-02-27 Zdeněk Dvořák , Jakub Pekárek , Jean-Sébastien Sereni

In this paper we study the fundamental problem of maintaining a dynamic collection of strings under the following operations: concat - concatenates two strings, split - splits a string into two at a given position, compare - finds the…

Data Structures and Algorithms · Computer Science 2016-04-11 Paweł Gawrychowski , Adam Karczmarz , Tomasz Kociumaka , Jakub Łącki , Piotr Sankowski

The computation of distance measures between nodes in graphs is inefficient and does not scale to large graphs. We explore dense vector representations as an effective way to approximate the same information: we introduce a simple yet…

Computation and Language · Computer Science 2019-06-18 Andrey Kutuzov , Mohammad Dorgham , Oleksiy Oliynyk , Chris Biemann , Alexander Panchenko

In the recent research of data mining, frequent structures in a sequence of graphs have been studied intensively, and one of the main concern is changing structures along a sequence of graphs that can capture dynamic properties of data. On…

Data Structures and Algorithms · Computer Science 2012-06-28 Takeaki Uno , Yushi Uno

Disentangled distributed representations of data are desirable for machine learning, since they are more expressive and can generalize from fewer examples. However, for complex data, the distributed representations of multiple objects…

Machine Learning · Computer Science 2016-01-21 Klaus Greff , Rupesh Kumar Srivastava , Jürgen Schmidhuber

This work is devoted to a certain class of probabilistic snapshots for elements of the observed data stream. We show you how one can control their probabilistic properties and we show some potential applications. Our solution can be used to…

Information Retrieval · Computer Science 2022-06-24 Dominik Bojko , Jacek Cichoń

Finding patterns in data and being able to retrieve information from those patterns is an important task in Information retrieval. Complex search requirements which are not fulfilled by simple string matching and require exploring certain…

Information Retrieval · Computer Science 2017-10-03 Amanpreet Singh , Karthik Venkatesan , Simranjyot Singh Gill

Repeat finding in strings has important applications in subfields such as computational biology. The challenge of finding the longest repeats covering particular string positions was recently proposed and solved by \.{I}leri et al., using a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-28 Yun Tian , Bojian Xu