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We first describe three algorithms for computing the Lyndon array that have been suggested in the literature, but for which no structured exposition has been given. Two of these algorithms execute in quadratic time in the worst case, the…

Data Structures and Algorithms · Computer Science 2016-05-31 Frantisek Franek , A. S. M. Sohidull Islam , M. Sohel Rahman , W. F. Smyth

Neural Turing Machines (NTM) contain memory component that simulates "working memory" in the brain to store and retrieve information to ease simple algorithms learning. So far, only linearly organized memory is proposed, and during…

Artificial Intelligence · Computer Science 2015-10-27 Wei Zhang , Yang Yu , Bowen Zhou

An efficient algorithm to enumerate the vertices of a two-dimensional (2D) projection of a polytope, is presented in this paper. The proposed algorithm uses the support function of the polytope to be projected and enumerated for vertices.…

Computational Geometry · Computer Science 2016-12-01 Amit Gurung , Rajarshi Ray

The Suffix Array is a classic text index enabling on-line pattern matching queries via simple binary search. The main drawback of the Suffix Array is that it takes linear space in the text's length, even if the text itself is extremely…

Data Structures and Algorithms · Computer Science 2025-03-19 Davide Cenzato , Lore Depuydt , Travis Gagie , Sung-Hwan Kim , Giovanni Manzini , Francisco Olivares , Nicola Prezza

Treemaps have been widely applied to the visualization of hierarchical data. A treemap takes a weighted tree and visualizes its leaves in a nested planar geometric shape, with sub-regions partitioned such that each sub-region has an area…

Graphics · Computer Science 2023-09-01 Mehdi Behroozi , Reyhaneh Mohammadi , Cody Dunne

Numeracy is the ability to understand and work with numbers. It is a necessary skill for composing and understanding documents in clinical, scientific, and other technical domains. In this paper, we explore different strategies for…

Computation and Language · Computer Science 2021-03-29 Georgios P. Spithourakis , Sebastian Riedel

In this article, we give a brief overview of the current state and future potential of symbolic computation within the Python statistical modeling and machine learning community. We detail the use of miniKanren as an underlying framework…

Programming Languages · Computer Science 2020-06-01 Brandon T. Willard

The \emph{index set} of a computable structure $\mathcal{A}$ is the set of indices for computable copies of $\mathcal{A}$. We determine the complexity of the index sets of various mathematically interesting structures, including arbitrary…

Logic · Mathematics 2008-03-25 Wesley Calvert , Valentina S. Harizanov , Julia F. Knight , Sara Miller

As applications continue to generate multi-dimensional data at exponentially increasing rates, fast analytics to extract meaningful results is becoming extremely important. The database community has developed array databases that alleviate…

Databases · Computer Science 2018-03-19 Weijie Zhao , Florin Rusu , Bin Dong , Kesheng Wu , Anna Y. Q. Ho , Peter Nugent

This paper proposes Scalene, a profiler specialized for Python. Scalene combines a suite of innovations to precisely and simultaneously profile CPU, memory, and GPU usage, all with low overhead. Scalene's CPU and memory profilers help…

Programming Languages · Computer Science 2023-03-24 Emery D. Berger , Sam Stern , Juan Altmayer Pizzorno

Monte Carlo Tree Search is a popular method for solving decision making problems. Faster implementations allow for more simulations within the same wall clock time, directly improving search performance. To this end, we present an…

Artificial Intelligence · Computer Science 2025-08-29 James Ragan , Fred Y. Hadaegh , Soon-Jo Chung

The analysis of experimental results with Python often requires writing many code scripts which all need access to the same set of functions. In a common field of research, this set will be nearly the same for many users. The qspec Python…

Computational Physics · Physics 2025-03-18 Patrick Müller , Wilfried Nörtershäuser

Unary coding is useful but it is redundant in its standard form. Unary coding can also be seen as spatial coding where the value of the number is determined by its place in an array. Motivated by biological finding that several neurons in…

Neural and Evolutionary Computing · Computer Science 2014-12-22 Subhash Kak

Memristive Processing In-Memory (PIM) is one of the promising techniques for overcoming the Von-Neumann bottleneck. Reduction of data transfer between processor and memory and data processing by memristors in data-intensive applications…

Emerging Technologies · Computer Science 2024-10-15 Seyed Erfan Fatemieh , Bahareh Bagheralmoosavi , Mohammad Reza Reshadinezhad

Classification is one of the most important tasks in Machine Learning (ML) and with recent advancements in artificial intelligence (AI) it is important to find efficient ways to implement it. Generally, the choice of classification…

Machine Learning · Computer Science 2023-12-27 Anuja Dixit , Shreya Byreddy , Guanqun Song , Ting Zhu

We introduce "TriMap"; a dimensionality reduction technique based on triplet constraints, which preserves the global structure of the data better than the other commonly used methods such as t-SNE, LargeVis, and UMAP. To quantify the global…

Machine Learning · Computer Science 2022-03-29 Ehsan Amid , Manfred K. Warmuth

NIMFA is an open-source Python library that provides a unified interface to nonnegative matrix factorization algorithms. It includes implementations of state-of-the-art factorization methods, initialization approaches, and quality scoring.…

Machine Learning · Computer Science 2018-08-07 Marinka Zitnik , Blaz Zupan

Mathematical models allow us to gain a deeper understanding of real-world dynamical systems. One of the most powerful mathematical frameworks for modeling real-world phenomena are systems of differential equations. In the majority of fields…

Disordered Systems and Neural Networks · Physics 2023-05-02 Richard Gast , Thomas R. Knösche , Ann Kennedy

Merging two sorted arrays is a prominent building block for sorting and other functions. Its efficient parallelization requires balancing the load among compute cores, minimizing the extra work brought about by parallelization, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-23 Oded Green , Saher Odeh , Yitzhak Birk

Structural Equation Modeling (SEM) is an umbrella term that includes numerous multivariate statistical techniques that are employed throughout a plethora of research areas, ranging from social to natural sciences. Until recently, SEM…

Applications · Statistics 2021-06-10 Georgy Meshcheryakov , Anna A. Igolkina , Maria G. Samsonova