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User preference queries are very important in spatial databases. With the help of these queries, one can found best location among points saved in database. In many situation users evaluate quality of a location with its distance from its…

Databases · Computer Science 2011-12-13 Nasrin Mazaheri Soudani , Ahmad Baraani-Dastgerdi

The Spatial Pattern Matching (SPM) query allows for the retrieval of Points of Interest (POIs) based on spatial patterns defined by keywords and distance criteria. However, it does not consider the connectivity between POIs. In this study,…

Databases · Computer Science 2026-05-01 Carlos Minervino , Claudio Campelo , Maxwell Oliveira , Salatiel Silva

Nearest neighbor search is a basic computational tool used extensively in almost research domains of computer science specially when dealing with large amount of data. However, the use of nearest neighbor search is restricted for the…

Social and Information Networks · Computer Science 2015-11-24 Suman Saha , S. P. Ghrera

This paper considers the problem of finding a landing spot for a drone in a dense urban environment. The conflicting requirement of fast exploration and high resolution is solved using a multi-resolution approach, by which visual…

Robotics · Computer Science 2022-12-21 Barak Pinkovich , Boaz Matalon , Ehud Rivlin , Hector Rotstein

Quadratic Programming (QP) is the well-studied problem of maximizing over {-1,1} values the quadratic form \sum_{i \ne j} a_{ij} x_i x_j. QP captures many known combinatorial optimization problems, and assuming the unique games conjecture,…

Computational Complexity · Computer Science 2015-03-17 Aditya Bhaskara , Moses Charikar , Rajsekar Manokaran , Aravindan Vijayaraghavan

We study the problem of detecting or recovering a planted ranked subgraph from a directed graph, an analog for directed graphs of the well-studied planted dense subgraph model. We suppose that, among a set of $n$ items, there is a subset…

Statistics Theory · Mathematics 2024-12-02 Dmitriy Kunisky , Daniel A. Spielman , Alexander S. Wein , Xifan Yu

This paper studies the \emph{subset sampling} problem. The input is a set $\mathcal{S}$ of $n$ records together with a function $\textbf{p}$ that assigns each record $v\in\mathcal{S}$ a probability $\textbf{p}(v)$. A query returns a random…

Data Structures and Algorithms · Computer Science 2023-07-24 Jinchao Huang , Sibo Wang

[See the paper for the full abstract.] We show tight upper and lower bounds for time-space trade-offs for the $c$-Approximate Near Neighbor Search problem. For the $d$-dimensional Euclidean space and $n$-point datasets, we develop a data…

Data Structures and Algorithms · Computer Science 2019-10-04 Alexandr Andoni , Thijs Laarhoven , Ilya Razenshteyn , Erik Waingarten

The model of population protocols refers to the growing in popularity theoretical framework suitable for studying pairwise interactions within a large collection of simple indistinguishable entities, frequently called agents. In this paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-28 Leszek Gasieniec , Grzegorz Stachowiak

A dynamic graph algorithm is a data structure that supports edge insertions, deletions, and specific problem queries. While extensive research exists on dynamic algorithms for graph problems solvable in polynomial time, most of these…

Data Structures and Algorithms · Computer Science 2024-07-10 Jannick Borowitz , Ernestine Großmann , Christian Schulz

This paper proposes a new algorithm for reducing Approximate Nearest Neighbor problem to Approximate Near Neighbor problem. The advantage of this algorithm is that it achieves O(log n) query time. As a reduction problem, the uery time…

Data Structures and Algorithms · Computer Science 2018-09-27 Hengzhao Ma , Jianzhong Li

It has recently been shown that many of the existing quasi-Newton algorithms can be formulated as learning algorithms, capable of learning local models of the cost functions. Importantly, this understanding allows us to safely start…

Machine Learning · Statistics 2017-04-06 Adrian G. Wills , Thomas B. Schön

We study the problem of approximate near neighbor (ANN) search and show the following results: - An improved framework for solving the ANN problem using locality-sensitive hashing, reducing the number of evaluations of locality-sensitive…

Data Structures and Algorithms · Computer Science 2019-06-25 Tobias Christiani

We present a new algorithm for the approximate near neighbor problem that combines classical ideas from group testing with locality-sensitive hashing (LSH). We reduce the near neighbor search problem to a group testing problem by…

Data Structures and Algorithms · Computer Science 2021-06-23 Joshua Engels , Benjamin Coleman , Anshumali Shrivastava

Most natural language processing tasks can be formulated as the approximated nearest neighbor search problem, such as word analogy, document similarity, machine translation. Take the question-answering task as an example, given a question…

Artificial Intelligence · Computer Science 2017-08-28 Jing Wang

Important applications in robotic and sensor networks require distributed algorithms to solve the so-called relative localization problem: a node-indexed vector has to be reconstructed from measurements of differences between neighbor…

Systems and Control · Computer Science 2013-03-26 Wilbert Samuel Rossi , Paolo Frasca , Fabio Fagnani

Retrieving the most similar objects in a large-scale database for a given query is a fundamental building block in many application domains, ranging from web searches, visual, cross media, and document retrievals. State-of-the-art…

Machine Learning · Computer Science 2018-03-15 Muge Li , Liangyue Li , Feiping Nie

In this paper we study the reachability problem for discrete-time nonlinear stochastic systems. Our goal is to present a unified framework for calculating the probabilistic reachable set of discrete-time systems in the presence of both…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Zishun Liu , Saber Jafarpour , Yongxin Chen

Nearest neighbor is a popular nonparametric method for classification and regression with many appealing properties. In the big data era, the sheer volume and spatial/temporal disparity of big data may prohibit centrally processing and…

Statistics Theory · Mathematics 2018-12-13 Jiexin Duan , Xingye Qiao , Guang Cheng

We study the spatio-temporal prediction problem and introduce a novel point-process-based prediction algorithm. Spatio-temporal prediction is extensively studied in Machine Learning literature due to its critical real-life applications such…

Machine Learning · Statistics 2021-03-17 Oguzhan Karaahmetoglu , Suleyman S. Kozat