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We present an improved wavelet tree construction algorithm and discuss its applications to a number of rank/select problems for integer keys and strings. Given a string of length n over an alphabet of size $\sigma\leq n$, our method builds…

Data Structures and Algorithms · Computer Science 2015-05-18 Maxim Babenko , Paweł Gawrychowski , Tomasz Kociumaka , Tatiana Starikovskaya

In many modern applications, including analysis of gene expression and text documents, the data are noisy, high-dimensional, and unordered--with no particular meaning to the given order of the variables. Yet, successful learning is often…

Methodology · Statistics 2008-07-25 Ann B. Lee , Boaz Nadler , Larry Wasserman

We give parallel algorithms for string diagrams represented as structured cospans of ACSets. Specifically, we give linear (sequential) and logarithmic (parallel) time algorithms for composition, tensor product, construction of diagrams from…

Category Theory · Mathematics 2023-05-03 Paul Wilson , Fabio Zanasi

We propose a new linear-size data structure which provides a fast access to all palindromic substrings of a string or a set of strings. This structure inherits some ideas from the construction of both the suffix trie and suffix tree. Using…

Data Structures and Algorithms · Computer Science 2015-08-18 Mikhail Rubinchik , Arseny M. Shur

Neural architecture search (NAS) searches architectures automatically for given tasks, e.g., image classification and language modeling. Improving the search efficiency and effectiveness have attracted increasing attention in recent years.…

Machine Learning · Computer Science 2020-01-03 Yao Shu , Wei Wang , Shaofeng Cai

Suffix trees are key and efficient data structure for solving string problems. A suffix tree is a compressed trie containing all the suffixes of a given text of length $n$ with a linear construction cost. In this work, we introduce an…

Data Structures and Algorithms · Computer Science 2024-06-04 Anas Al-okaily

Data mining has been widely recognized as a powerful tool to explore added value from large-scale databases. Finding frequent item sets in databases is a crucial in data mining process of extracting association rules. Many algorithms were…

Databases · Computer Science 2010-03-23 M. S. Danessh , C. Balasubramanian , K. Duraiswamy

We apply the concept of subset seeds proposed in [1] to similarity search in protein sequences. The main question studied is the design of efficient seed alphabets to construct seeds with optimal sensitivity/selectivity trade-offs. We…

Quantitative Methods · Quantitative Biology 2011-01-18 Mikhail A. Roytberg , Anna Gambin , Laurent Noé , Slawomir Lasota , Eugenia Furletova , Ewa Szczurek , Gregory Kucherov

We propose methods that enable efficient hierarchical classification in parallel. Our methods transform a batch of classification scores and labels, corresponding to given nodes in a semantic tree, to scores and labels corresponding to all…

Machine Learning · Computer Science 2022-09-22 Franz A. Heinsen

The searching procedure of neural architecture search (NAS) is notoriously time consuming and cost prohibitive.To make the search space continuous, most existing gradient-based NAS methods relax the categorical choice of a particular…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Shoufa Chen , Yunpeng Chen , Shuicheng Yan , Jiashi Feng

Sparse suffix sorting is the problem of sorting $b=o(n)$ suffixes of a string of length $n$. Efficient sparse suffix sorting algorithms have existed for more than a decade. Despite the multitude of works and their justified claims for…

Data Structures and Algorithms · Computer Science 2024-07-08 Lorraine A. K. Ayad , Grigorios Loukides , Solon P. Pissis , Hilde Verbeek

Tasks that model the relation between pairs of tokens in a string are a vital part of understanding natural language. Such tasks, in general, require exhaustive pair-wise comparisons of tokens, thus having a quadratic runtime complexity in…

Computation and Language · Computer Science 2023-12-13 Tianyu Liu , Afra Amini , Mrinmaya Sachan , Ryan Cotterell

The supertree construction problem is about combining several phylogenetic trees with possibly conflicting information into a single tree that has all the leaves of the source trees as its leaves and the relationships between the leaves are…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Laura Koponen , Emilia Oikarinen , Tomi Janhunen , Laura Säilä

Over the years, many different indexing techniques and search algorithms have been proposed, including CSS-trees, CSB+ trees, k-ary binary search, and fast architecture sensitive tree search. There have also been papers on how best to set…

Databases · Computer Science 2017-06-22 Florian Gross

The life of the modern world essentially depends on the work of the large artificial homogeneous networks, such as wired and wireless communication systems, networks of roads and pipelines. The support of their effective continuous…

Optimization and Control · Mathematics 2017-01-25 Dmitry Yu. Ignatov , Alexander N. Filippov , Andrey D. Ignatov , Xuecang Zhang

Morphological analysis in the Arabic language is computationally intensive, has numerous forms and rules, and is intrinsically parallel. The investigation presented in this paper confirms that the effective development of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-24 Issam Damaj , Mahmoud Imdoukh , Rached Zantout

Neuromorphic architectures are ideally suited for the implementation of smart sensors able to react, learn, and respond to a changing environment. Our work uses the insect brain as a model to understand how heterogeneous architectures,…

Neural and Evolutionary Computing · Computer Science 2021-04-12 Angel Yanguas-Gil

Providing architectural support is crucial for newly arising applications to achieve high performance and high system efficiency. Currently there is a trend in designing accelerators for special applications, while arguably a debate is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-04 Yuhang Liu , Luming Wang , Xiang Li , Yang Wang , Mingyu Chen , Yungang Bao

The Fenwick tree is a classical implicit data structure that stores an array in such a way that modifying an element, accessing an element, computing a prefix sum and performing a predecessor search on prefix sums all take logarithmic time.…

Data Structures and Algorithms · Computer Science 2019-10-15 Stefano Marchini , Sebastiano Vigna

A family of comparison-based exact pattern matching algorithms is described. They utilize multi-dimensional arrays in order to process more than one adjacent text window in each iteration of the search cycle. This approach leads to a lower…

Data Structures and Algorithms · Computer Science 2016-08-31 Igor O. Zavadskyi
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