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We consider a stack sorting algorithm where only the appropriate output values are popped from the stack and then any remaining entries in the stack are run through the stack in reverse order. We identify the basis for the $2$-reverse pass…

Combinatorics · Mathematics 2018-08-14 Toufik Mansour , Howard Skogman , Rebecca Smith

Neighborhood graphs are gaining popularity as a concise data representation in machine learning. However, naive graph construction by pairwise distance calculation takes $O(n^2)$ runtime for $n$ data points and this is prohibitively slow…

Data Structures and Algorithms · Computer Science 2009-04-22 Takeaki Uno , Masashi Sugiyama , Koji Tsuda

Given a set of N points, we have discovered an algorithm that can separate these points from one another by n-dimensional planes. Each point is chosen at random and put into a set S and planes which separate them are determined and put into…

Computational Geometry · Computer Science 2015-10-26 K. Eswaran

Most of the real world networks such as the internet network, collaboration networks, brain networks, citation networks, powerline and airline networks are very large and to study their structure, and dynamics one often requires working…

Physics and Society · Physics 2020-05-05 Richa Tripathi , Amit Reza

In computer science, sorting algorithms are crucial for data processing and machine learning. Large datasets and high efficiency requirements provide challenges for comparison-based algorithms like Quicksort and Merge sort, which achieve…

Data Structures and Algorithms · Computer Science 2024-10-01 Amin Amini

Stacking methods improve the prediction performance of regression models. A simple way to stack base regressions estimators is by combining them linearly, as done by \citet{breiman1996stacked}. Even though this approach is useful from an…

Machine Learning · Computer Science 2020-02-26 Victor Coscrato , Marco Henrique de Almeida Inácio , Rafael Izbicki

Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared. In this paper, we study a more general setting, in which some pairs of objects are incomparable. This generalization is relevant…

Data Structures and Algorithms · Computer Science 2007-07-12 Constantinos Daskalakis , Richard M. Karp , Elchanan Mossel , Samantha Riesenfeld , Elad Verbin

Sorting is a foundational primitive of computer science and optimizations in sorting subroutines can cascade into significant performance gains for high-throughput systems. In this paper, we analyze the inefficiencies of a non-comparison…

Data Structures and Algorithms · Computer Science 2026-02-17 Atharv Pandey , Lakshmanan Kuppusamy

A method for selecting solution constructors in narrowing is presented. The method is based on a sort discipline that describes regular sets of ground constructor terms as sorts. It is extended to cope with regular sets of ground…

Formal Languages and Automata Theory · Computer Science 2019-04-19 Jochen Burghardt

Sampling-based motion planners are an effective means for generating collision-free motion paths. However, the quality of these motion paths (with respect to quality measures such as path length, clearance, smoothness or energy) is often…

Robotics · Computer Science 2015-03-13 Barak Raveh , Angela Enosh , Dan Halperin

The problem of relevance ranking consists of sorting a set of objects with respect to a given criterion. Since users may prefer different relevance criteria, the ranking algorithms should be adaptable to the user needs. Two main approaches…

Machine Learning · Computer Science 2023-11-06 Leonardo Rigutini , Tiziano Papini , Marco Maggini , Franco Scarselli

In this paper we generalize the idea of QuickHeapsort leading to the notion of QuickXsort. Given some external sorting algorithm X, QuickXsort yields an internal sorting algorithm if X satisfies certain natural conditions. With…

Data Structures and Algorithms · Computer Science 2013-07-12 Stefan Edelkamp , Armin Weiß

We give a more space-efficient implementation of adaptive mergesort: Virtual-Memory Powersort. Using internal buffering techniques, we significantly reduce the memory consumption of the algorithm; specifically, for sorting $n$ objects the…

Data Structures and Algorithms · Computer Science 2026-05-27 Finn Moltmann , Tamio-Vesa Nakajima , Sebastian Wild

Frequently, randomly organized data is needed to avoid an anomalous operation of other algorithms and computational processes. An analogy is that a deck of cards is ordered within the pack, but before a game of poker or solitaire the deck…

Data Structures and Algorithms · Computer Science 2008-11-24 William F. Gilreath

Deep neural networks (DNNs) must cater to a variety of users with different performance needs and budgets, leading to the costly practice of training, storing, and maintaining numerous user/task-specific models. There are solutions in the…

The objective behind the Twin Sort technique is to sort the list of unordered data elements efficiently and to allow efficient and simple arrangement of data elements within the data structure with optimization of comparisons and iterations…

Data Structures and Algorithms · Computer Science 2017-10-24 Veeresh D , Thimmaraju S. N , Ravish G. K

Uncovering unknown or missing links in social networks is a difficult task because of their sparsity and because links may represent different types of relationships, characterized by different structural patterns. In this paper, we define…

Social and Information Networks · Computer Science 2025-04-01 Lionel Tabourier , Daniel Faria Bernardes , Anne-Sophie Libert , Renaud Lambiotte

In this paper we extend the knowledge on the problem of empirically searching for sorting networks of minimal depth. We present new search space pruning techniques for the last four levels of a candidate sorting network by considering only…

Discrete Mathematics · Computer Science 2015-02-23 Martin Marinov , David Gregg

Approximate $k$ nearest neighbor (AKNN) search in high-dimensional space is a foundational problem in vector databases with widespread applications. Among the numerous AKNN indexes, Proximity Graph-based indexes achieve state-of-the-art…

Databases · Computer Science 2026-02-20 Liuchang Jing , Mingyu Yang , Lei Li , Jianbin Qin , Wei Wang

We consider the problem of inferring the topology of a network with $M$ sources and $N$ receivers (hereafter referred to as an $M$-by-$N$ network), by sending probes between the sources and receivers. Prior work has shown that this problem…

Networking and Internet Architecture · Computer Science 2014-03-20 Pegah Sattari , Maciej Kurant , Animashree Anandkumar , Athina Markopoulou , Michael Rabbat
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