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In this paper, we present a new data structure called the packed compact trie (packed c-trie) which stores a set $S$ of $k$ strings of total length $n$ in $n \log\sigma + O(k \log n)$ bits of space and supports fast pattern matching queries…

Data Structures and Algorithms · Computer Science 2017-10-11 Takuya Takagi , Shunsuke Inenaga , Kunihiko Sadakane , Hiroki Arimura

We present sorting algorithms that represent the fastest known techniques for a wide range of input sizes, input distributions, data types, and machines. A part of the speed advantage is due to the feature to work in-place. Previously, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Michael Axtmann , Sascha Witt , Daniel Ferizovic , Peter Sanders

It is well known that good initializations can improve the speed and accuracy of the solutions of many nonnegative matrix factorization (NMF) algorithms. Many NMF algorithms are sensitive with respect to the initialization of W or H or…

Numerical Analysis · Computer Science 2014-07-29 Amy N. Langville , Carl D. Meyer , Russell Albright , James Cox , David Duling

Array programming languages allow for concise and generic formulations of numerical algorithms, thereby providing a huge potential for program optimisation such as fusion, parallelisation, etc. One of the restrictions that these languages…

Programming Languages · Computer Science 2017-10-12 Artjoms Sinkarovs , Sven-Bodo Scholz

The size of deep neural networks has grown exponentially in recent years. Unfortunately, hardware devices have not kept pace with the rapidly increasing memory requirements. To cope with this, researchers have turned to techniques such as…

Machine Learning · Computer Science 2022-11-04 Benoit Steiner , Mostafa Elhoushi , Jacob Kahn , James Hegarty

Scalable ordered maps must ensure that range queries, which operate over many consecutive keys, provide intuitive semantics (e.g., linearizability) without degrading the performance of concurrent insertions and removals. These goals are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-11 Matthew Rodriguez , Vitaly Aksenov , Michael Spear

A new array based data structure named black-white array (BWA) is introduced as an effective and efficient alternative to the list or tree based data structures for dynamic data set. It consists of two sub-arrays, one white and one black of…

Data Structures and Algorithms · Computer Science 2020-04-21 Z. George Mou

The long-lived renaming problem appears in shared-memory systems where a set of threads need to register and deregister frequently from the computation, while concurrent operations scan the set of currently registered threads. Instances of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-22 Dan Alistarh , Justin Kopinsky , Alexander Matveev , Nir Shavit

Minimizers sampling is one of the most widely-used mechanisms for sampling strings [Roberts et al., Bioinformatics 2004]. Let $S=S[1]\ldots S[n]$ be a string over a totally ordered alphabet $\Sigma$. Further let $w\geq 2$ and $k\geq 1$ be…

Data Structures and Algorithms · Computer Science 2024-05-08 Hilde Verbeek , Lorraine A. K. Ayad , Grigorios Loukides , Solon P. Pissis

We propose a novel exact algorithm for the transportation problem, one of the paradigmatic network optimization problems. The algorithm, denoted Iterated Inside Out, requires in input a basic feasible solution and is composed by two main…

Optimization and Control · Mathematics 2023-03-30 Roberto Bargetto , Federico Della Croce , Rosario Scatamacchia

Strings in the real world are often encoded with some level of uncertainty. In the character-level uncertainty model, an uncertain string $X$ of length $n$ on an alphabet $\Sigma$ is a sequence of $n$ probability distributions over…

Data Structures and Algorithms · Computer Science 2024-03-22 Esteban Gabory , Chang Liu , Grigorios Loukides , Solon P. Pissis , Wiktor Zuba

Multireader shared registers are basic objects used as communication medium in asynchronous concurrent computation. We propose a surprisingly simple and natural scheme to obtain several wait-free constructions of bounded 1-writer…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Paul Vitanyi

Indexing intervals is a fundamental problem, finding a wide range of applications. Recent work on managing large collections of intervals in main memory focused on overlap joins and temporal aggregation problems. In this paper, we propose…

Databases · Computer Science 2022-03-08 George Christodoulou , Panagiotis Bouros , Nikos Mamoulis

Many parallel algorithms use at least linear auxiliary space in the size of the input to enable computations to be done independently without conflicts. Unfortunately, this extra space can be prohibitive for memory-limited machines,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-02 Yan Gu , Omar Obeya , Julian Shun

We consider encoding problems for range queries on arrays. In these problems the goal is to store a structure capable of recovering the answer to all queries that occupies the information theoretic minimum space possible, to within lower…

Data Structures and Algorithms · Computer Science 2015-06-16 Pawel Gawrychowski , Patrick K. Nicholson

This paper considers an opportunistic scheduling problem over a renewal system. A controller observes a random event at the beginning of each renewal frame and then chooses an action in response to the event, which affects the duration of…

Optimization and Control · Mathematics 2019-06-10 Xiaohan Wei , Michael J. Neely

We present a highly optimized implementation of tiered vectors, a data structure for maintaining a sequence of $n$ elements supporting access in time $O(1)$ and insertion and deletion in time $O(n^\epsilon)$ for $\epsilon > 0$ while using…

Data Structures and Algorithms · Computer Science 2017-11-02 Philip Bille , Anders Roy Christiansen , Mikko Berggren Ettienne , Inge Li Gørtz

For many kinds of prefix-free codes there are efficient and compact alternatives to the traditional tree-based representation. Since these put the codes into canonical form, however, they can only be used when we can choose the order in…

Data Structures and Algorithms · Computer Science 2021-04-02 Antonio Fariña , Travis Gagie , Szymon Grabowski , Giovanni Manzini , Gonzalo Navarro , Alberto Ordóñez

Despite the recent success of stochastic gradient descent in deep learning, it is often difficult to train a deep neural network with an inappropriate choice of its initial parameters. Even if training is successful, it has been known that…

Machine Learning · Computer Science 2023-02-10 Cheolhyoung Lee , Kyunghyun Cho

Research aimed at scaling up neuroscience inspired learning algorithms for neural networks is accelerating. Recently, a key research area has been the study of energy-based learning algorithms such as predictive coding, due to their…

Machine Learning · Computer Science 2026-01-30 Luca Pinchetti , Simon Frieder , Thomas Lukasiewicz , Tommaso Salvatori
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