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We present two stable mergesort variants, "peeksort" and "powersort", that exploit existing runs and find nearly-optimal merging orders with practically negligible overhead. Previous methods either require substantial effort for determining…

Data Structures and Algorithms · Computer Science 2019-05-07 J. Ian Munro , Sebastian Wild

Clustering is a fundamental problem in unsupervised machine learning with many applications in data analysis. Popular clustering algorithms such as Lloyd's algorithm and $k$-means++ can take $\Omega(ndk)$ time when clustering $n$ points in…

Machine Learning · Computer Science 2023-10-26 Moses Charikar , Monika Henzinger , Lunjia Hu , Maxmilian Vötsch , Erik Waingarten

Sorting is the one of the fundamental tasks of modern data management systems. With Disk I/O being the most-accused performance bottleneck and more computation-intensive workloads, it has come to our attention that in heterogeneous…

Databases · Computer Science 2019-09-19 Yuanjing Shi , Zhaoxing Li

The aim of this paper is to investigate an attempt to build a binary classification algorithm using principles of geometry such as vectors, planes, and vector algebra. The basic idea behind the proposed algorithm is that a hyperplane can be…

Machine Learning · Computer Science 2025-03-04 Vatsal Srivastava

Modern deep learning usually treats models as separate artifacts: trained independently, specialized for particular purposes, and replaced when improved versions appear. This thesis studies model merging as an alternative paradigm:…

Machine Learning · Computer Science 2026-05-05 Donato Crisostomi

This paper proposes a new class of online policies for scheduling in input-buffered crossbar switches. Our policies are throughput optimal for a large class of arrival processes which satisfy strong-law of large numbers. Given an initial…

Networking and Internet Architecture · Computer Science 2009-02-09 Gagan Raj Gupta , Sujay Sanghavi , Ness B. Shroff

We explore the fundamental problem of sorting through the lens of learning-augmented algorithms, where algorithms can leverage possibly erroneous predictions to improve their efficiency. We consider two different settings: In the first…

Data Structures and Algorithms · Computer Science 2023-11-03 Xingjian Bai , Christian Coester

Sliding-window aggregation is a foundational stream processing primitive that efficiently summarizes recent data. The state-of-the-art algorithms for sliding-window aggregation are highly efficient when stream data items are evicted or…

Databases · Computer Science 2023-10-03 Kanat Tangwongsan , Martin Hirzel , Scott Schneider

While modern general-purpose computing systems have ample amounts of memory, it is still the case that embedded computer systems, such as in a refrigerator, are memory limited; hence, such embedded systems motivate the need for strictly…

Data Structures and Algorithms · Computer Science 2026-03-09 Ofek Gila , Michael T. Goodrich , Vinesh Sridhar

Networks are one of the most powerful structures for modeling problems in the real world. Downstream machine learning tasks defined on networks have the potential to solve a variety of problems. With link prediction, for instance, one can…

Machine Learning · Computer Science 2019-11-27 Nino Arsov , Georgina Mirceva

The original Leapfrogging Samplesort operates on a sorted sample of size $s$ and an unsorted part of size $s+1$. We generalize this to a sorted sample of size $s$ and an unsorted part of size $(2^k-1)(s+1)$, where $k = O(1)$. We present a…

Data Structures and Algorithms · Computer Science 2018-01-30 Eliezer A. Albacea

Binary size reduction is an increasingly important optimization objective for compilers. One emerging technique is function merging, where multiple similar functions are merged into one, thereby eliminating redundancy. The SOTA approach to…

Programming Languages · Computer Science 2026-04-17 Amir K. Goharshady , Kerim Kochekov , Tian Shu , Ahmed Khaled Zaher

Spike sorting is essential for extracting neuronal information from neural signals and understanding brain function. With the advent of high-density microelectrode arrays (HDMEAs), the challenges and opportunities in multi-channel spike…

Signal Processing · Electrical Eng. & Systems 2024-12-30 Yuntao Han , Shiwei Wang , Alister Hamilton

We present a simple, work-optimal and synchronization-free solution to the problem of stably merging in parallel two given, ordered arrays of m and n elements into an ordered array of m+n elements. The main contribution is a new, simple,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-11-13 Christian Siebert , Jesper Larsson Träff

In this paper, we introduce a new class of stochastic multilayer networks. A stochastic multilayer network is the aggregation of $M$ networks (one per layer) where each is a subgraph of a foundational network $G$. Each layer network is the…

Social and Information Networks · Computer Science 2018-07-11 Bo Jiang , Philippe Nain , Don Towsley , Saikat Guha

We study the impact of merging routines in merge-based sorting algorithms. More precisely, we focus on the galloping routine that TimSort uses to merge monotonic sub-arrays, hereafter called runs, and on the impact on the number of element…

Data Structures and Algorithms · Computer Science 2023-12-04 Elahe Ghasemi , Vincent Jugé , Ghazal Khalighinejad , Helia Yazdanyar

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

Data Structures and Algorithms · Computer Science 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

We present a deterministic sorting algorithm, SPMS (Sample, Partition, and Merge Sort), that interleaves the partitioning of a sample sort with merging. Sequentially, it sorts $n$ elements in $O(n \log n)$ time cache-obliviously with an…

Data Structures and Algorithms · Computer Science 2017-11-03 Richard Cole , Vijaya Ramachandran

Graphs are naturally used to describe the structures of various real-world systems in biology, society, computer science etc., where subgraphs or motifs as basic blocks play an important role in function expression and information…

Social and Information Networks · Computer Science 2021-02-11 Jinhuan Wang , Pengtao Chen , Bin Ma , Jiajun Zhou , Zhongyuan Ruan , Guanrong Chen , Qi Xuan
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