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We propose novel compression algorithms for time-varying channel state information (CSI) in wireless communications. The proposed scheme combines (lossy) vector quantisation and (lossless) compression. First, the new vector quantisation…

Information Theory · Computer Science 2022-10-04 Henrique K. Miyamoto , Sheng Yang

This paper introduces a new data structure, log_vector, with the following properties: constant time random access to individual elements; constant time element addition to the end; constant time element removal from the end; constant time…

Data Structures and Algorithms · Computer Science 2012-03-23 Anatolijs Gorbunovs

This paper proposes an efficient and novel method to address range search on multidimensional points in $\theta(t)$ time, where $t$ is the number of points reported in $\Re^k$ space. This is accomplished by introducing a new data structure,…

Computational Geometry · Computer Science 2016-07-04 T. Hema , K. S. Easwarakumar

Spatiotemporal data is increasingly available due to emerging sensor and data acquisition technologies that track moving objects. Spatiotemporal clustering addresses the need to efficiently discover patterns and trends in moving object…

Machine Learning · Computer Science 2024-04-16 Olga Dorabiala , Devavrat Vivek Dabke , Jennifer Webster , Nathan Kutz , Aleksandr Aravkin

The tree code for the approximate evaluation of gravitational forces is extended and substantially accelerated by including mutual cell-cell interactions. These are computed by a Taylor series in Cartesian coordinates and in a completely…

Astrophysics · Physics 2009-10-31 Walter Dehnen

Intercepting fast moving objects, by its very nature, is challenging because of its tight time constraints. This problem becomes further complicated in the presence of sensor noise because noisy sensors provide, at best, incomplete…

Robotics · Computer Science 2025-12-02 Gabriel Olin , Lu Chen , Nayesha Gandotra , Maxim Likhachev , Howie Choset

We propose a new succinct representation of labeled trees which represents a tree T using |T|H_k(T) number of bits (plus some smaller order terms), where |T|H_k(T) denotes the k-th order (tree label) entropy, as defined by Ferragina at al.…

Data Structures and Algorithms · Computer Science 2018-07-18 Michał Gańczorz

We introduce a new family of compressed data structures to efficiently store and query large string dictionaries in main memory. Our main technique is a combination of hierarchical Front-coding with ideas from longest-common-prefix…

Data Structures and Algorithms · Computer Science 2019-11-20 Nieves R. Brisaboa , Ana Cerdeira-Pena , Guillermo de Bernardo , Gonzalo Navarro

Modeling data as being sampled from a union of independent subspaces has been widely applied to a number of real world applications. However, dimensionality reduction approaches that theoretically preserve this independence assumption have…

Machine Learning · Computer Science 2016-04-08 Devansh Arpit , Ifeoma Nwogu , Venu Govindaraju

Cartesian tree matching is a form of generalized pattern matching where a substring of the text matches with the pattern if they share the same Cartesian tree. This form of matching finds application for time series of stock prices and can…

Data Structures and Algorithms · Computer Science 2024-11-20 Eric M. Osterkamp , Dominik Köppl

We present a new Compact Trip Representation (CTR) that allows us to manage users' trips (moving objects) over networks. These could be public transportation networks (buses, subway, trains, and so on) where nodes are stations or stops, or…

Data Structures and Algorithms · Computer Science 2016-12-14 Nieves R. Brisaboa , Antonio Fariña , Daniil Galaktionov , M. Andrea Rodríguez

We present a highly optimized implementation of tiered vectors, a data structure for maintaining a sequence of $n$ elements supporting access in time $O(1)$ and insertion and deletion in time $O(n^\epsilon)$ for $\epsilon > 0$ while using…

Data Structures and Algorithms · Computer Science 2017-11-02 Philip Bille , Anders Roy Christiansen , Mikko Berggren Ettienne , Inge Li Gørtz

We describe an algorithm for compressing a partially ordered set, or \emph{poset}, so that it occupies space matching the information theory lower bound (to within lower order terms), in the worst case. Using this algorithm, we design a…

Data Structures and Algorithms · Computer Science 2012-04-24 J. Ian Munro , Patrick K. Nicholson

In this paper, we revisit the problem of indexing multi-dimensional data in memory for the efficient support of multi-dimensional range queries and nearest neighbor queries. This is a classic problem in main-memory databases, where there is…

Databases · Computer Science 2026-05-06 Achilleas Michalopoulos , Dimitrios Tsitsigkos , Nikos Mamoulis

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

We present $k^{O(k^2)} m$ time algorithms for various problems about decomposing a given undirected graph by edge cuts or vertex separators of size $<k$ into parts that are ``well-connected'' with respect to cuts or separators of size $<k$;…

Data Structures and Algorithms · Computer Science 2024-11-06 Tuukka Korhonen

Structured, or tabular, data is the most common format in data science. While deep learning models have proven formidable in learning from unstructured data such as images or speech, they are less accurate than simpler approaches when…

In this paper we consider methods for dynamically storing a set of different objects ("modules") in a physical array. Each module requires one free contiguous subinterval in order to be placed. Items are inserted or removed, resulting in a…

Data Structures and Algorithms · Computer Science 2011-01-31 Michael A. Bender , Sándor P. Fekete , Tom Kamphans , Nils Schweer

In this work we introduce a new linear time compression algorithm, called "Re-pair for Trees", which compresses ranked ordered trees using linear straight-line context-free tree grammars. Such grammars generalize straight-line context-free…

Data Structures and Algorithms · Computer Science 2010-08-02 Markus Lohrey , Sebastian Maneth , Roy Mennicke

We consider preprocessing a set $S$ of $n$ points in convex position in the plane into a data structure supporting queries of the following form: given a point $q$ and a directed line $\ell$ in the plane, report the point of $S$ that is…

Computational Geometry · Computer Science 2017-10-16 Boris Aronov , Prosenjit Bose , Erik D. Demaine , Joachim Gudmundsson , John Iacono , Stefan Langerman , Michiel Smid