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The dictionary matching is a task to find all occurrences of patterns in a set $D$ (called a dictionary) on a text $T$. The Aho-Corasick-automaton (AC-automaton) is a data structure which enables us to solve the dictionary matching problem…

Data Structures and Algorithms · Computer Science 2019-02-22 Diptarama Hendrian , Shunsuke Inenaga , Ryo Yoshinaka , Ayumi Shinohara

The system that we study in this paper contains a set of users that observe a discrete memoryless multiple source and communicate via noise-free channels with the aim of attaining omniscience, the state that all users recover the entire…

Information Theory · Computer Science 2017-01-24 Ni Ding , Rodney A. Kennedy , Parastoo Sadeghi

Given a text $T$ of length $n$ and a pattern $P$ of length $m$, the string matching problem is a task to find all occurrences of $P$ in $T$. In this study, we propose an algorithm that solves this problem in $O((n + m)q)$ time considering…

Data Structures and Algorithms · Computer Science 2020-04-14 Satoshi Kobayashi , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

This paper studies visual search using structured queries. The structure is in the form of a 2D composition that encodes the position and the category of the objects. The transformation of the position and the category of the objects leads…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Mert Kilickaya , Arnold W. M. Smeulders

We propose a projection-free conditional gradient-type algorithm for smooth stochastic multi-level composition optimization, where the objective function is a nested composition of $T$ functions and the constraint set is a closed convex…

Optimization and Control · Mathematics 2022-10-11 Tesi Xiao , Krishnakumar Balasubramanian , Saeed Ghadimi

An optimal binary search tree for an access sequence on elements is a static tree that minimizes the total search cost. Constructing perfectly optimal binary search trees is expensive so the most efficient algorithms construct almost…

Data Structures and Algorithms · Computer Science 2018-06-28 Mordecai Golin , John Iacono , Stefan Langerman , J. Ian Munro , Yakov Nekrich

High dimensional space-time data pose known computational challenges when fitting spatio-temporal models. Such data show dependence across several dimensions of space as well as in time, and can easily involve hundreds of thousands of…

Methodology · Statistics 2025-06-02 Staci Hepler , Rob Erhardt

We consider online algorithms for the $k$-server problem on trees. Chrobak and Larmore proposed a $k$-competitive algorithm for this problem that has the optimal competitive ratio. However, a naive implementation of their algorithm has…

Data Structures and Algorithms · Computer Science 2021-07-29 Ruslan Kapralov , Kamil Khadiev , Joshua Mokut , Yixin Shen , Maxim Yagafarov

In this paper we present current trends in real-time music tracking (a.k.a. score following). Casually speaking, these algorithms "listen" to a live performance of music, compare the audio signal to an abstract representation of the score,…

Multimedia · Computer Science 2017-08-08 Andreas Arzt , Matthias Dorfer

As the demand for computational power grows, optimizing code through compilers becomes increasingly crucial. In this context, we focus on fully automatic code optimization techniques that automate the process of selecting and applying code…

Programming Languages · Computer Science 2025-11-11 Yacine Hakimi , Riyadh Baghdadi

We consider a new kind of interpretation over relational structures: finite sets interpretations. Those interpretations are defined by weak monadic second-order (WMSO) formulas with free set variables. They transform a given structure into…

Logic in Computer Science · Computer Science 2017-01-11 Thomas Colcombet , Christof Löding

We develop a general framework for the specification and implementation of systems whose executions are words, or partial orders, over an infinite alphabet. As a model of an implementation, we introduce class register automata, a one-way…

Formal Languages and Automata Theory · Computer Science 2012-01-10 Benedikt Bollig

We introduce a novel transition system for discontinuous constituency parsing. Instead of storing subtrees in a stack --i.e. a data structure with linear-time sequential access-- the proposed system uses a set of parsing items, with…

Computation and Language · Computer Science 2019-04-02 Maximin Coavoux , Shay B. Cohen

We study a variant of the classical membership problem in automata theory, which consists of deciding whether a given input word is accepted by a given automaton. We do so under a different perspective, that is, we consider a dynamic…

Formal Languages and Automata Theory · Computer Science 2020-02-18 Alejandro Grez , Filip Mazowiecki , Michał Pilipczuk , Gabriele Puppis , Cristian Riveros

We consider an alternative derivation of the GSO Projection in the free fermionic construction of the weakly coupled heterotic string in terms of root systems, as well as the interpretation of the GSO Projection in this picture. We then…

High Energy Physics - Theory · Physics 2009-12-15 M. Robinson , G. Cleaver , M. Hunziker

The study of node selection query languages for (finite) trees has been a major topic in the recent research on query languages for Web documents. On one hand, there has been an extensive study of XPath and its various extensions. On the…

Databases · Computer Science 2018-11-15 Diego Calvanese , Giuseppe De Giacomo , Maurizio Lenzerini , Moshe Y. Vardi

The B-tree is a fundamental secondary index structure that is widely used for answering one-dimensional range reporting queries. Given a set of $N$ keys, a range query can be answered in $O(\log_B \nm + \frac{K}{B})$ I/Os, where $B$ is the…

Data Structures and Algorithms · Computer Science 2008-11-27 Ke Yi

The edit distance is a fundamental measure of sequence similarity, defined as the minimum number of character insertions, deletions, and substitutions needed to transform one string into the other. Given two strings of length at most $n$,…

Data Structures and Algorithms · Computer Science 2023-07-17 Tomasz Kociumaka , Anish Mukherjee , Barna Saha

Given a static reference string $R$ and a source string $S$, a relative compression of $S$ with respect to $R$ is an encoding of $S$ as a sequence of references to substrings of $R$. Relative compression schemes are a classic model of…

Data Structures and Algorithms · Computer Science 2016-09-19 Philip Bille , Patrick Hagge Cording , Inge Li Gørtz , Frederik Rye Skjoldjensen , Hjalte Wedel Vildhøj , Søren Vind

Causal modeling has long been an attractive topic for many researchers and in recent decades there has seen a surge in theoretical development and discovery algorithms. Generally discovery algorithms can be divided into two approaches:…

Machine Learning · Statistics 2017-02-06 Ridho Rahmadi , Perry Groot , Marianne Heins , Hans Knoop , Tom Heskes
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