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We introduce a compressed representation of sets of sets that exploits how much they differ from each other. Our representation supports access, membership, predecessor and successor queries on the sets within logarithmic time. In addition,…

Data Structures and Algorithms · Computer Science 2026-02-02 Travis Gagie , Meng He , Gonzalo Navarro

Kernel-based K-means clustering has gained popularity due to its simplicity and the power of its implicit non-linear representation of the data. A dominant concern is the memory requirement since memory scales as the square of the number of…

Machine Learning · Statistics 2016-12-05 Farhad Pourkamali-Anaraki , Stephen Becker

Recently, the field of machine learning has undergone a transition from model-centric to data-centric. The advancements in diverse learning tasks have been propelled by the accumulation of more extensive datasets, subsequently facilitating…

Machine Learning · Computer Science 2023-10-20 Yao Lu , Yutian Huang , Jiaqi Nie , Zuohui Chen , Qi Xuan

The paper provides typology for space filling into what we call "soft" and "hard" methods along with introducing the central notion of privacy sets for dealing with the latter. A heuristic algorithm based on this notion is presented and we…

Methodology · Statistics 2015-10-20 Eva Benková , Radoslav Harman , Werner G. Müller

We introduce a new combinatorial structure: the superselector. We show that superselectors subsume several important combinatorial structures used in the past few years to solve problems in group testing, compressed sensing, multi-channel…

Data Structures and Algorithms · Computer Science 2010-10-07 Ferdinando Cicalese , Ugo Vaccaro

We introduce K-tree in an information retrieval context. It is an efficient approximation of the k-means clustering algorithm. Unlike k-means it forms a hierarchy of clusters. It has been extended to address issues with sparse…

Information Retrieval · Computer Science 2010-01-07 Christopher M. De Vries , Shlomo Geva

In this paper we describe a new efficient (in fact optimal) data structure for the {\em top-$K$ color problem}. Each element of an array $A$ is assigned a color $c$ with priority $p(c)$. For a query range $[a,b]$ and a value $K$, we have to…

Data Structures and Algorithms · Computer Science 2010-10-19 Marek Karpinski , Yakov Nekrich

As the proliferation of high-throughput approaches in materials science is increasing the wealth of data in the field, the gap between accumulated-information and derived-knowledge widens. We address the issue of scientific discovery in…

With the rapid advancements in medical data acquisition and production, increasingly richer representations exist to characterize medical information. However, such large-scale data do not usually meet computing resource constraints or…

Sequence classification has numerous applications in various fields. Despite extensive studies in the last decades, many challenges still exist, particularly in pattern-based methods. Existing pattern-based methods measure the…

Machine Learning · Computer Science 2023-10-23 Junjie Dong , Mudi Jiang , Lianyu Hu , Zengyou He

These notes provide a self-contained introduction to kernel methods and their geometric foundations in machine learning. Starting from the construction of Hilbert spaces, we develop the theory of positive definite kernels, reproducing…

Kernel methods have great promise for learning rich statistical representations of large modern datasets. However, compared to neural networks, kernel methods have been perceived as lacking in scalability and flexibility. We introduce a…

Machine Learning · Computer Science 2014-12-22 Zichao Yang , Alexander J. Smola , Le Song , Andrew Gordon Wilson

Scaling clustering algorithms to massive data sets is a challenging task. Recently, several successful approaches based on data summarization methods, such as coresets and sketches, were proposed. While these techniques provide provably…

Machine Learning · Statistics 2018-02-21 Olivier Bachem , Mario Lucic , Silvio Lattanzi

Recent advances in social and mobile technology have enabled an abundance of digital traces (in the form of mobile check-ins, association of mobile devices to specific WiFi hotspots, etc.) revealing the physical presence history of diverse…

Databases · Computer Science 2020-03-23 Yifan Li , Xiaohui Yu , Nick Koudas

This paper presents a general coding method where data in a Hilbert space are represented by finite dimensional coding vectors. The method is based on empirical risk minimization within a certain class of linear operators, which map the set…

Machine Learning · Statistics 2011-09-05 Andreas Maurer Massimiliano Pontil

This paper is a primer on cryptographic accumulators and how to apply them practically. A cryptographic accumulator is a space- and time-efficient data structure used for set-membership tests. Since it is possible to represent any…

Cryptography and Security · Computer Science 2021-03-09 Ilker Ozcelik , Sai Medury , Justin Broaddus , Anthony Skjellum

The rapid expansion of genomic sequence data calls for new methods to achieve robust sequence representations. Existing techniques often neglect intricate structural details, emphasizing mainly contextual information. To address this, we…

Machine Learning · Computer Science 2023-12-08 Kacper Kapuśniak , Manuel Burger , Gunnar Rätsch , Amir Joudaki

The third-generation long reads sequencing technologies, such as PacBio and Nanopore, have great advantages over second-generation Illumina sequencing in de novo assembly studies. However, due to the inherent low base accuracy,…

Genomics · Quantitative Biology 2020-03-27 Hengchao Wang , Bo Liu , Yan Zhang , Fan Jiang , Yuwei Ren , Lijuan Yin , Hangwei Liu , Sen Wang , Wei Fan

In the last decade, key-value data storage systems have gained significantly more interest from academia and industry. These systems face numerous challenges concerning storage space- and read optimization. There exists a large potential…

Databases · Computer Science 2020-04-07 Martin Weise

The k-means algorithm is one of the most common clustering algorithms and widely used in data mining and pattern recognition. The increasing computational requirement of big data applications makes hardware acceleration for the k-means…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-23 Zhehao Li , Jifang Jin , Lingli Wang