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Existing high-dimensional online learning methods often face the challenge that their error bounds, or per-batch sample sizes, diverge as the number of data batches increases. To address this issue, we propose an asynchronous decomposition…

Machine Learning · Statistics 2026-03-24 Shixiang Liu , Zhifan Li , Hanming Yang , Jianxin Yin

We consider a multi-stage distributed detection scenario, where $n$ sensors and a fusion center (FC) are deployed to accomplish a binary hypothesis test. At each time stage, local sensors generate binary messages, assumed to be spatially…

Signal Processing · Electrical Eng. & Systems 2023-01-04 Guangyang Zeng , Xiaoqiang Ren , Junfeng Wu

In a variety of applications, we need to keep track of the development of a data set over time. For maintaining and querying this multi version data I/O-efficiently, external memory data structures are required. In this paper, we present a…

General Literature · Computer Science 2007-05-23 Saju Jude Dominic , G. Sajith

The Subset Sum problem, which asks whether a set of $n$ integers has a subset summing to a target $t$, is a fundamental NP-complete problem in cryptography and combinatorial optimization. The classical meet-in-the-middle (MIM) algorithm of…

Data Structures and Algorithms · Computer Science 2025-12-04 Jesus Salas

Estimating structures in "big data" and clustering them are among the most fundamental problems in computer vision, pattern recognition, data mining, and many other other research fields. Over the past few decades, many studies have been…

Machine Learning · Computer Science 2019-01-09 Maryam Jaberi , Marianna Pensky , Hassan Foroosh

Given an input $x$, and a search problem $F$, local computation algorithms (LCAs) implement access to specified locations of $y$ in a legal output $y \in F(x)$, using polylogarithmic time and space. Mansour et al., (2012), had previously…

Data Structures and Algorithms · Computer Science 2014-04-23 Omer Reingold , Shai Vardi

In the Bin Packing problem one is given $n$ items with weights $w_1,\ldots,w_n$ and $m$ bins with capacities $c_1,\ldots,c_m$. The goal is to find a partition of the items into sets $S_1,\ldots,S_m$ such that $w(S_j) \leq c_j$ for every bin…

Data Structures and Algorithms · Computer Science 2023-09-11 Jesper Nederlof , Jakub Pawlewicz , Céline M. F. Swennenhuis , Karol Węgrzycki

The Hierarchical Clustering (HC) problem consists of building a hierarchy of clusters to represent a given dataset. Motivated by the modern large-scale applications, we study the problem in the \streaming model, in which the memory is…

Data Structures and Algorithms · Computer Science 2022-06-16 Sepehr Assadi , Vaggos Chatziafratis , Jakub Łącki , Vahab Mirrokni , Chen Wang

In this paper, anew algorithm which is based on geometrical moments and local binary patterns (LBP) for content based image retrieval (CBIR) is proposed. In geometrical moments, each vector is compared with the all other vectors for edge…

Computer Vision and Pattern Recognition · Computer Science 2013-01-14 Mohamed Eisa , Amira Eletrebi , Ebrahim Elhenawy

Recently Rubinfeld et al. (ICS 2011, pp. 223--238) proposed a new model of sublinear algorithms called \emph{local computation algorithms}. In this model, a computation problem $F$ may have more than one legal solution and each of them…

Data Structures and Algorithms · Computer Science 2011-12-01 Noga Alon , Ronitt Rubinfeld , Shai Vardi , Ning Xie

Inferring cluster structure in microarray datasets is a fundamental task for the -omic sciences. A fundamental question in Statistics, Data Analysis and Classification, is the prediction of the number of clusters in a dataset, usually…

Data Structures and Algorithms · Computer Science 2011-02-16 Filippo Utro

Storing a counter incremented $N$ times would naively consume $O(\log N)$ bits of memory. In 1978 Morris described the very first streaming algorithm: the "Morris Counter". His algorithm's space bound is a random variable, and it has been…

Data Structures and Algorithms · Computer Science 2022-04-01 Jelani Nelson , Huacheng Yu

Operations over data streams typically hinge on efficient mechanisms to aggregate or summarize history on a rolling basis. For high-volume data steams, it is critical to manage state in a manner that is fast and memory efficient --…

Data Structures and Algorithms · Computer Science 2024-09-24 Matthew Andres Moreno , Luis Zaman , Emily Dolson

Binary hashing is a well-known approach for fast approximate nearest-neighbor search in information retrieval. Much work has focused on affinity-based objective functions involving the hash functions or binary codes. These objective…

Machine Learning · Computer Science 2016-02-05 Miguel Á. Carreira-Perpiñán , Ramin Raziperchikolaei

This paper studies the problem of enumerating all maximal collinear subsets of size at least three in a given set of $n$ points. An algorithm for this problem, besides solving degeneracy testing and the exact fitting problem, can also help…

Computational Geometry · Computer Science 2017-06-20 Ali Gholami Rudi , Raimi Ayinde Rufai

In this paper we describe algorithms for computing the BWT and for building (compressed) indexes in external memory. The innovative feature of our algorithms is that they are lightweight in the sense that, for an input of size $n$, they use…

Data Structures and Algorithms · Computer Science 2009-09-25 Paolo Ferragina , Travis Gagie , Giovanni Manzini

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

Methodology · Statistics 2016-01-15 Florencia Leonardi , Peter Bühlmann

Spatial range joins have many applications, including geographic information systems, location-based social networking services, neuroscience, and visualization. However, joins incur not only expensive computational costs but also too large…

Databases · Computer Science 2025-08-22 Daichi Amagata

Many data-fitting applications require the solution of an optimization problem involving a sum of large number of functions of high dimensional parameter. Here, we consider the problem of minimizing a sum of $n$ functions over a convex…

Optimization and Control · Mathematics 2016-02-29 Farbod Roosta-Khorasani , Michael W. Mahoney

We show an optimal data-dependent hashing scheme for the approximate near neighbor problem. For an $n$-point data set in a $d$-dimensional space our data structure achieves query time $O(d n^{\rho+o(1)})$ and space $O(n^{1+\rho+o(1)} +…

Data Structures and Algorithms · Computer Science 2015-07-17 Alexandr Andoni , Ilya Razenshteyn