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Sorting is a fundamental algorithmic pre-processing technique which often allows to represent data more compactly and, at the same time, speeds up search queries on it. In this paper, we focus on the well-studied problem of sorting and…

Data Structures and Algorithms · Computer Science 2023-04-24 Sung-Hwan Kim , Francisco Olivares , Nicola Prezza

Mergesort is one of the few efficient sorting algorithms and, despite being the oldest one, often still the method of choice today. In contrast to some alternative algorithms, it always runs efficiently using O(n log n) element comparisons…

Data Structures and Algorithms · Computer Science 2025-09-30 Christian Siebert

In-place associative integer sorting technique was proposed for integer lists which requires only constant amount of additional memory replacing bucket sort, distribution counting sort and address calculation sort family of algorithms. The…

Data Structures and Algorithms · Computer Science 2012-09-18 A. Emre Cetin

Sorting is an essential operation which is widely used and is fundamental to some very basic day to day utilities like searches, databases, social networks and much more. Optimizing this basic operation in terms of complexity as well as…

Data Structures and Algorithms · Computer Science 2021-07-06 Peeyush Kumar , Ayushe Gangal , Sunita Kumari , Sunita Tiwari

Collaborative filtering (CF) is a long-standing problem of recommender systems. Many novel methods have been proposed, ranging from classical matrix factorization to recent graph convolutional network-based approaches. After recent fierce…

Information Retrieval · Computer Science 2021-08-19 Jeongwhan Choi , Jinsung Jeon , Noseong Park

Checklists have been widely recognized as effective tools for completing complex tasks in a systematic manner. Although originally intended for use in procedural tasks, their interpretability and ease of use have led to their adoption for…

Machine Learning · Computer Science 2024-11-27 Yukti Makhija , Edward De Brouwer , Rahul G. Krishnan

The expected number of pairwise comparisons needed to learn a partial order on n elements is shown to be at least n*n/4-o(n*n), and an algorithm is given that needs only n*n/4+o(n*n) comparisons on average. In addition, the optimal strategy…

Combinatorics · Mathematics 2007-05-23 Jobst Heitzig

Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we…

Machine Learning · Computer Science 2026-04-07 Nikita Gabdullin , Ilya Androsov

Graded posets frequently arise throughout combinatorics, where it is natural to try to count the number of elements of a fixed rank. These counting problems are often $\#\textbf{P}$-complete, so we consider approximation algorithms for…

Data Structures and Algorithms · Computer Science 2023-04-11 Prateek Bhakta , Ben Cousins , Matthew Fahrbach , Dana Randall

Sorting is a foundational primitive in modern data processing, influencing the execution speed of high-performance data pipelines. However, the algorithmic landscape is currently bifurcated by a pervasive "Stability Tax": practitioners must…

Data Structures and Algorithms · Computer Science 2026-05-15 Hriday Jain , Ketan Sabale , Aditya Shastri , Hiren Kumar Thakkar , Ashutosh Londhe

Over the past few years several quantum machine learning algorithms were proposed that promise quantum speed-ups over their classical counterparts. Most of these learning algorithms either assume quantum access to data -- making it unclear…

Quantum Physics · Physics 2021-07-14 Yunchao Liu , Srinivasan Arunachalam , Kristan Temme

We present new randomized algorithms that improve the complexity of the classic $(\Delta+1)$-coloring problem, and its generalization $(\Delta+1)$-list-coloring, in three well-studied models of distributed, parallel, and centralized…

Data Structures and Algorithms · Computer Science 2018-11-06 Yi-Jun Chang , Manuela Fischer , Mohsen Ghaffari , Jara Uitto , Yufan Zheng

LWF chain graphs combine directed acyclic graphs and undirected graphs. We present a PC-like algorithm that finds the structure of chain graphs under the faithfulness assumption to resolve the problem of scalability of the proposed…

Artificial Intelligence · Computer Science 2020-05-29 Mohammad Ali Javidian , Marco Valtorta , Pooyan Jamshidi

Learning to hash pictures a list-wise sorting problem. Its testing metrics, e.g., mean-average precision, count on a sorted candidate list ordered by pair-wise code similarity. However, scarcely does one train a deep hashing model with the…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Jiaguo Yu , Yuming Shen , Menghan Wang , Haofeng Zhang , Philip H. S. Torr

A noticeable fraction of Algorithms papers in the last few decades improve the running time of well-known algorithms for fundamental problems by logarithmic factors. For example, the $O(n^2)$ dynamic programming solution to the Longest…

Computational Complexity · Computer Science 2018-05-01 Amir Abboud , Karl Bringmann

In this paper we are proposing a new sorting algorithm, List Sort algorithm, is based on the dynamic memory allocation. In this research study we have also shown the comparison of various efficient sorting techniques with List sort. Due the…

Data Structures and Algorithms · Computer Science 2013-10-30 Adarsh Kumar Verma , Prashant Kumar

Sorting is one of the oldest computing problems and is still very important in the age of big data. Various algorithms and implementation techniques have been proposed. In this study, we focus on comparison based, internal sorting…

Data Structures and Algorithms · Computer Science 2016-09-16 Hantao Zhang , Baoluo Meng , Yiwen Liang

Motivated by settings such as medical treatments or aircraft maintenance, we consider a scheduling problem with jobs that consist of two operations, a test and a processing part. The time required to execute the test is known in advance…

Data Structures and Algorithms · Computer Science 2024-06-25 Konstantinos Dogeas , Thomas Erlebach , Ya-Chun Liang

Sorted Table Search Procedures are the quintessential query-answering tool, with widespread usage that now includes also Web Applications, e.g, Search Engines (Google Chrome) and ad Bidding Systems (AppNexus). Speeding them up, at very…

Machine Learning · Computer Science 2020-07-31 Domenico Amato , Giosué Lo Bosco , Raffaele Giancarlo

Modern machine learning forces practitioners to choose between powerful but expensive deep networks and fast but limited classical algorithms. Here we introduce Soft Learning, a framework that maintains a library of heterogeneous…

Machine Learning · Computer Science 2026-05-20 Mohammed Aledhari , Ali Aledhari , Fatimah Aledhari , Mohamed Rahouti