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The classical comparison-based sorting problem asks us to find the underlying total order of a given set of elements, where we can only access the elements via comparisons. In this paper, we study a restricted version, where, as a hint, a…

Data Structures and Algorithms · Computer Science 2025-07-21 Benjamin Aram Berendsohn

Mining Time Series data has a tremendous growth of interest in today's world. To provide an indication various implementations are studied and summarized to identify the different problems in existing applications. Clustering time series is…

Information Retrieval · Computer Science 2010-05-25 V. Kavitha , M. Punithavalli

Sorting is needed in many application domains. The data is read from memory and sent to a general purpose processor or application specific hardware for sorting. The sorted data is then written back to the memory. Reading/writing data…

Emerging Technologies · Computer Science 2022-02-08 Mohsen Riahi Alam , M. Hassan Najafi , Nima TaheriNejad

Given a sequence of $n$ numbers and $k$ parallel First-in-First-Out (FIFO) queues, how close can one bring the sequence to sorted order? It is known that $k$ queues suffice to sort the sequence if the Longest Decreasing Subsequence (LDS) of…

Data Structures and Algorithms · Computer Science 2025-09-17 Andreas Karrenbauer , Kurt Mehlhorn , Pranabendu Misra , Paolo Luigi Rinaldi , Anna Twelsiek , Alireza Haqi , Siavash Rahimi Shateranloo

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

Machine Learning · Computer Science 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

Grouping elements into families to analyse them separately is a standard analysis procedure in many areas of sciences. We propose herein a new algorithm based on the simple idea that members from a family look like each other, and don't…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Axel Descamps , Sélène Forget , Aliénor Lahlou , Claire Lavergne , Camille Berthelot , Guillaume Stirnemann , Rodolphe Vuilleumier , Nicolas Chéron

Conventional rule learning algorithms aim at finding a set of simple rules, where each rule covers as many examples as possible. In this paper, we argue that the rules found in this way may not be the optimal explanations for each of the…

Machine Learning · Computer Science 2023-01-27 Van Quoc Phuong Huynh , Johannes Fürnkranz , Florian Beck

Retrieving the most similar objects in a large-scale database for a given query is a fundamental building block in many application domains, ranging from web searches, visual, cross media, and document retrievals. State-of-the-art…

Machine Learning · Computer Science 2018-03-15 Muge Li , Liangyue Li , Feiping Nie

The era of huge data necessitates highly efficient machine learning algorithms. Many common machine learning algorithms, however, rely on computationally intensive subroutines that are prohibitively expensive on large datasets. Oftentimes,…

Machine Learning · Computer Science 2023-09-26 Mo Tiwari

In this paper, we study the MapReduce framework from an algorithmic standpoint and demonstrate the usefulness of our approach by designing and analyzing efficient MapReduce algorithms for fundamental sorting, searching, and simulation…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-11 Michael T. Goodrich , Nodari Sitchinava , Qin Zhang

Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies…

Databases · Computer Science 2020-03-11 Mujahid Sultan

Karp et al. (1988) described Deferred Data Structures for Multisets as "lazy" data structures which partially sort data to support online rank and select queries, with the minimum amount of work in the worst case over instances of size $n$…

Data Structures and Algorithms · Computer Science 2016-10-03 Jérémy Barbay , Carlos Ochoa , Srinivasa Rao Satti

Sorting is a primitive operation that is a building block for countless algorithms. As such, it is important to design sorting algorithms that approach peak performance on a range of hardware architectures. Graphics Processing Units (GPUs)…

Data Structures and Algorithms · Computer Science 2017-03-31 Henri Casanova , John Iacono , Ben Karsin , Nodari Sitchinava , Volker Weichert

In recent years, there have been unprecedented technological advances in sensor technology, and sensors have become more affordable than ever. Thus, sensor-driven data collection is increasingly becoming an attractive and practical option…

Machine Learning · Computer Science 2021-12-30 Alireza Abdoli

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

Numerical Analysis · Mathematics 2024-12-24 Guy B. Oldaker , Maria Emelianenko

A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the…

Machine Learning · Computer Science 2018-01-08 Reinhard Heckel , Max Simchowitz , Kannan Ramchandran , Martin J. Wainwright

We present the first in-place algorithm for sorting an array of size n that performs, in the worst case, at most O(n log n) element comparisons and O(n) element transports. This solves a long-standing open problem, stated explicitly, e.g.,…

Data Structures and Algorithms · Computer Science 2007-05-23 Gianni Franceschini , Viliam Geffert

This paper discusses about a sorting algorithm which uses the concept of buckets where each bucket represents a certain number of digits. A two dimensional data structure is used where one dimension represents buckets i. e; number of digits…

Data Structures and Algorithms · Computer Science 2014-06-10 Ankit Chadha , Rishikesh Misal , Tanaya Mokashi , Aman Chadha

Artificial intelligence has made remarkable progress in handling complex tasks, thanks to advances in hardware acceleration and machine learning algorithms. However, to acquire more accurate outcomes and solve more complex issues,…

Machine Learning · Computer Science 2023-09-12 Mohammad Dehghani , Zahra Yazdanparast