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The aim of this article is to employ the Lazy Set algorithm as an example for a mathematical framework for proving the linearizability of distributed systems. The proof in this approach is divided into two stages of lower and higher…

Logic in Computer Science · Computer Science 2018-11-05 Uri Abraham

We present scalable parallel algorithms with sublinear per-processor communication volume and low latency for several fundamental problems related to finding the most relevant elements in a set, for various notions of relevance: We begin…

Data Structures and Algorithms · Computer Science 2015-10-20 Lorenz Hübschle-Schneider , Peter Sanders , Ingo Müller

miniKanren is a lightweight embedded language for logic and relational programming. Many of its useful features come from a distinctive search strategy, called interleaving search. However, with interleaving search conventional ways of…

Programming Languages · Computer Science 2022-03-07 Dmitry Rozplokhas , Dmitry Boulytchev

Range Minimum Query (RMQ) is an important building brick of many compressed data structures and string matching algorithms. Although this problem is essentially solved in theory, with sophisticated data structures allowing for constant time…

Data Structures and Algorithms · Computer Science 2017-07-12 Szymon Grabowski , Tomasz Kowalski

We consider the problem of designing succinct data structures for interval graphs with $n$ vertices while supporting degree, adjacency, neighborhood and shortest path queries in optimal time in the $\Theta(\log n)$-bit word RAM model. The…

Data Structures and Algorithms · Computer Science 2020-04-28 Hüseyin Acan , Sankardeep Chakraborty , Seungbum Jo , Srinivasa Rao Satti

Budget Minimization is a scheduling problem with precedence constraints, i.e., a scheduling problem on a partially ordered set of jobs $(N, \unlhd)$. A job $j \in N$ is available for scheduling, if all jobs $i \in N$ with $i \unlhd j$ are…

Discrete Mathematics · Computer Science 2019-06-27 Marinus Gottschau , Felix Happach , Marcus Kaiser , Clara Waldmann

We develop a family of accelerated stochastic algorithms that minimize sums of convex functions. Our algorithms improve upon the fastest running time for empirical risk minimization (ERM), and in particular linear least-squares regression,…

Machine Learning · Statistics 2015-06-25 Roy Frostig , Rong Ge , Sham M. Kakade , Aaron Sidford

For a given set of intervals on the real line, we consider the problem of ordering the intervals with the goal of minimizing an objective function that depends on the exposed interval pieces (that is, the pieces that are not covered by…

Data Structures and Algorithms · Computer Science 2011-12-05 Christoph Dürr , Maurice Queyranne , Frits C. R. Spieksma , Fabrice Talla Nobibon , Gerhard J. Woeginger

Concurrent data structures often require additional memory for handling synchronization issues in addition to memory for storing elements. Depending on the amount of this additional memory, implementations can be more or less…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Vitaly Aksenov , Nikita Koval , Petr Kuznetsov , Anton Paramonov

We investigate dynamic algorithms for the interval scheduling problem. Our algorithm runs in amortised time $O(\log n)$ for query operation and $O(d\log^2 n)$ for insertion and removal operations, where $n$ and $d$ are the maximal numbers…

Data Structures and Algorithms · Computer Science 2014-12-30 Alex Gavryushkin , Bakhadyr Khoussainov , Mikhail Kokho , Jiamou Liu

We describe an algorithm that, given any full-rank matrix A having fewer rows than columns, can rapidly compute the orthogonal projection of any vector onto the null space of A, as well as the orthogonal projection onto the row space of A,…

Numerical Analysis · Computer Science 2011-05-26 Vladimir Rokhlin , Mark Tygert

Automatic extraction of temporal relations between event pairs is an important task for several natural language processing applications such as Question Answering, Information Extraction, and Summarization. Since most existing methods are…

Machine Learning · Computer Science 2014-01-27 Seyed Abolghasem Mirroshandel , Gholamreza Ghassem-Sani

In this paper, we describe a new type of match between a pattern and a text that aren't necessarily maximal in the query, but still contain useful matching information: locally maximal exact matches (LEMs). There are usually a large amount…

Data Structures and Algorithms · Computer Science 2025-05-22 Ahsan Sanaullah , Degui Zhi , Shaojie Zhang

We study online convex optimization under stochastic sub-gradient observation faults, where we introduce adaptive algorithms with minimax optimal regret guarantees. We specifically study scenarios where our sub-gradient observations can be…

Machine Learning · Computer Science 2019-04-23 Hakan Gokcesu , Suleyman S. Kozat

Semantic communication systems introduce a new paradigm in wireless communications, focusing on transmitting the intended meaning rather than ensuring strict bit-level accuracy. These systems often rely on Deep Neural Networks (DNNs) to…

Recently, the iterative approach named linear tabling has received considerable attention because of its simplicity, ease of implementation, and good space efficiency. Linear tabling is a framework from which different methods can be…

Programming Languages · Computer Science 2007-05-25 Neng-Fa Zhou , Taisuke Sato , Yi-Dong Shen

A string $w$ is called a minimal absent word (MAW) for a string $S$ if $w$ does not occur as a substring in $S$ and all proper substrings of $w$ occur in $S$. MAWs are well-studied combinatorial string objects that have potential…

Data Structures and Algorithms · Computer Science 2023-08-01 Kouta Okabe , Takuya Mieno , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai

We propose an interval extension of Signal Temporal Logic (STL) called Interval Signal Temporal Logic (\ISTL). Given an STL formula, we consider an interval inclusion function for each of its predicates. Then, we use minimal inclusion…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Luke Baird , Akash Harapanahalli , Samuel Coogan

Logistics networks arise whenever there is a transfer of material substance or objects (such as checked baggage on international flights) as well as energy, information, or finance through links (channels). A general concept of logistics…

Data Structures and Algorithms · Computer Science 2016-03-09 Serge Lawrencenko , Irina A. Duborkina

Node connectivity plays a central role in temporal network analysis. We provide a comprehensive study of various concepts of walks in temporal graphs, that is, graphs with fixed vertex sets but edge sets changing over time. Taking into…

Data Structures and Algorithms · Computer Science 2020-03-12 Anne-Sophie Himmel , Matthias Bentert , André Nichterlein , Rolf Niedermeier