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The problem of selecting small groups of itemsets that represent the data well has recently gained a lot of attention. We approach the problem by searching for the itemsets that compress the data efficiently. As a compression technique we…

Data Structures and Algorithms · Computer Science 2019-02-08 Nikolaj Tatti , Jilles Vreeken

Sorting is a fundamental computational process, which facilitates subsequent searching of a database. It can be thought of as factorisation of the search process. The location of a desired item in a sorted database can be found by classical…

Quantum Physics · Physics 2009-11-06 Apoorva Patel

In this short communication we introduce the quick clustering algorithm (QUIST), an efficient hierarchical clustering algorithm based on sorting. QUIST is a poly-logarithmic divisive clustering algorithm that does not assume the number of…

Machine Learning · Computer Science 2016-06-02 Sherenaz W. Al-Haj Baddar

This work studies rearrangement problems involving the sorting of robots or objects in stack-like containers, which can be accessed only from one side. Two scenarios are considered: one where every robot or object needs to reach a…

Robotics · Computer Science 2017-07-03 Shuai D. Han , Nicholas M. Stiffler , Kostas E. Bekris , Jingjin Yu

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

Artificial Intelligence · Computer Science 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

In optimization or machine learning problems we are given a set of items, usually points in some metric space, and the goal is to minimize or maximize an objective function over some space of candidate solutions. For example, in clustering…

Machine Learning · Computer Science 2020-11-19 Dan Feldman

Emerging memory technologies have a significant gap between the cost, both in time and in energy, of writing to memory versus reading from memory. In this paper we present models and algorithms that account for this difference, with a focus…

Data Structures and Algorithms · Computer Science 2016-03-15 Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Julian Shun

Chunking data is obviously no new concept; however, I had never found any data structures that used chunking as the basis of their implementation. I figured that by using chunking alongside concurrency, I could create an extremely fast…

Data Structures and Algorithms · Computer Science 2022-02-21 Daniel Szelogowski

We discuss how string sorting algorithms can be parallelized on modern multi-core shared memory machines. As a synthesis of the best sequential string sorting algorithms and successful parallel sorting algorithms for atomic objects, we…

Data Structures and Algorithms · Computer Science 2013-05-07 Timo Bingmann , Peter Sanders

The tremendous expanse of search engines, dictionary and thesaurus storage, and other text mining applications, combined with the popularity of readily available scanning devices and optical character recognition tools, has necessitated…

Databases · Computer Science 2012-07-04 Sourav Dutta , Arnab Bhattacharya

We propose a routing algorithm that takes a sequence of vectors and computes a new sequence with specified length and vector size. Each output vector maximizes "bang per bit," the difference between a net benefit to use and net cost to…

Machine Learning · Computer Science 2022-12-23 Franz A. Heinsen

We investigate how sorting algorithms efficiently overcome the exponential size of the permutation space. Our main contribution is a new continuous-time formulation of sorting as a gradient flow on the permutohedron, yielding an independent…

Data Structures and Algorithms · Computer Science 2025-04-24 Jonathan Landers

We introduce a new sorting device for permutations which makes use of a pop stack augmented with a bypass operation. This results in a sorting machine, which is more powerful than the usual Popstacksort algorithm and seems to have never…

Discrete Mathematics · Computer Science 2025-03-12 Lapo Cioni , Luca Ferrari , Rebecca Smith

Integer sorting is a fundamental problem in computer science. This paper studies parallel integer sort both in theory and in practice. In theory, we show tighter bounds for a class of existing practical integer sort algorithms, which…

Data Structures and Algorithms · Computer Science 2026-05-18 Xiaojun Dong , Laxman Dhulipala , Yan Gu , Yihan Sun

An agent who lacks preferences and instead makes decisions using criteria that are costly to create should select efficient sets of criteria, where the cost of making a given number of choice distinctions is minimized. Under mild…

Artificial Intelligence · Computer Science 2016-06-27 Michael Mandler

Cloud database systems, particularly their middleware and query execution layers, use sorting as a core operation in query processing, indexing and join execution. Distribution-dependence and limited parallelism are key issues inherent in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Michael Dang'ana

When lexicographically sorting strings, it is not always necessary to inspect all symbols. For example, the lexicographical rank of "europar" amongst the strings "eureka", "eurasia", and "excells" only depends on its so called relevant…

Data Structures and Algorithms · Computer Science 2020-06-04 Jonas Ellert , Johannes Fischer , Nodari Sitchinava

Neighborhood algorithms may take a considerable percentage of computer time in discrete element methods (DEM). While the sort-and-sweep algorithm is ideal in some ways, as it only deal with particles whose relative positions change in one…

Computational Physics · Physics 2026-03-06 Dominik Krengel , Yuki Watanabe , Ko Kandori , Jian Chen , Hans-Georg Matuttis

Bob hides a ball in one of four drawers. Alice is to locate it. Classically she has to open up to three drawers, quantally just one. The fundamental reason for this quantum speedup is not known. The usual representation of the quantum…

Quantum Physics · Physics 2015-08-20 Giuseppe Castagnoli

In recent years, two competitive time series classification models, namely, ROCKET and MINIROCKET, have garnered considerable attention due to their low training cost and high accuracy. However, they rely on a large number of random 1-D…

Machine Learning · Computer Science 2024-07-26 Shaowu Chen , Weize Sun , Lei Huang , Xiaopeng Li , Qingyuan Wang , Deepu John