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Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

Numerical Analysis · Mathematics 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

In many applications such as color image processing, data has more than one piece of information associated with each spatial coordinate, and in such cases the classical optimal mass transport (OMT) must be generalized to handle…

Optimization and Control · Mathematics 2018-06-19 Ernest K. Ryu , Yongxin Chen , Wuchen Li , Stanley Osher

In this paper, we study the MapReduce framework from an algorithmic standpoint and demonstrate the usefulness of our approach by designing and analyzing efficient MapReduce algorithms for fundamental sorting, searching, and simulation…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-11 Michael T. Goodrich , Nodari Sitchinava , Qin Zhang

Bit vectors with support for fast rank and select are a fundamental building block for compressed data structures. We close a gap between theory and practice by analyzing an important part of the design space and experimentally evaluating a…

Data Structures and Algorithms · Computer Science 2025-09-23 Florian Kurpicz , Niccolò Rigi-Luperti , Peter Sanders

Sparse storage formats are techniques for storing and processing the sparse matrix data efficiently. The performance of these storage formats depend upon the distribution of non-zeros, within the matrix in different dimensions. In order to…

Mathematical Software · Computer Science 2012-02-28 Muhammad Taimoor Khan , Anila Usman

The exponential growth of artificial intelligence (AI) and machine learning (ML) applications has necessitated the development of efficient storage solutions for vector and tensor data. This paper presents a novel approach for tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-14 Zhiwei Bao , Liu Liao-Liao , Zhiyu Wu , Yifan Zhou , Dan Fan , Michal Aibin , Yvonne Coady , Andrew Brownsword

Storing tabular data to balance storage and query efficiency is a long-standing research question in the database community. In this work, we argue and show that a novel DeepMapping abstraction, which relies on the impressive memorization…

Databases · Computer Science 2024-09-27 Lixi Zhou , K. Selçuk Candan , Jia Zou

We present a novel area matching algorithm for merging two different 2D grid maps. There are many approaches to address this problem, nevertheless, most previous work is built on some assumptions, such as rigid transformation, or similar…

Robotics · Computer Science 2019-11-19 Jiawei Hou , Haofei Kuang , Sören Schwertfeger

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

We introduce a kernel Lasso (kLasso) optimization that simultaneously accounts for spatial regularity and network sparsity to reconstruct spatial complex networks from data. Through a kernel function, the proposed approach exploits spatial…

Data Analysis, Statistics and Probability · Physics 2017-07-05 Jie Sun , Fernando J. Quevedo , Erik Bollt

This paper presents planning algorithms for a robotic manipulator with a fixed base in order to grasp a target object in cluttered environments. We consider a configuration of objects in a confined space with a high density so no…

Robotics · Computer Science 2022-02-09 Changjoo Nam , Jinhwi Lee , Younggil Cho , Jeongho Lee , Dong Hwan Kim , ChangHwan Kim

The growing urban complexity demands an efficient algorithm to acquire and process various sensor information from autonomous vehicles. In this paper, we introduce an algorithm to utilize object detection results from the image to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Madhumitha Sakthi , Ahmed Tewfik

Existing data race detectors for task-based programs incur significant run time and space overheads. The overheads arise because of frequent lookups in fine-grained tree data structures to check whether two accesses can happen in parallel.…

Programming Languages · Computer Science 2022-04-06 Shivam Kumar , Anupam Agrawal , Swarnendu Biswas

Treemaps have been widely applied to the visualization of hierarchical data. A treemap takes a weighted tree and visualizes its leaves in a nested planar geometric shape, with sub-regions partitioned such that each sub-region has an area…

Graphics · Computer Science 2023-09-01 Mehdi Behroozi , Reyhaneh Mohammadi , Cody Dunne

Subspace clustering methods have been widely studied recently. When the inputs are 2-dimensional (2D) data, existing subspace clustering methods usually convert them into vectors, which severely damages inherent structures and relationships…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Chong Peng , Qian Zhang , Zhao Kang , Chenglizhao Chen , Qiang Cheng

This paper proposes a novel framework for accelerating support vector clustering. The proposed method first computes much smaller compressed data sets while preserving the key cluster properties of the original data sets based on a novel…

Machine Learning · Computer Science 2023-05-16 Yuxuan Song , Yongyu Wang

Scientific computations or measurements may result in huge volumes of data. Often these can be thought of representing a real-valued function on a high-dimensional domain, and can be conceptually arranged in the format of a tensor of high…

Numerical Analysis · Mathematics 2019-09-24 Mike Espig , Wolfgang Hackbusch , Alexander Litvinenko , Hermann G. Matthies , Elmar Zander

We propose the Selective Densification method for fast motion planning through configuration space. We create a sequence of roadmaps by iteratively adding configurations. We organize these roadmaps into layers and add edges between…

Robotics · Computer Science 2020-02-13 Brad Saund , Dmitry Berenson

The proliferation of location-based services has led to massive spatial data generation. Spatial join is a crucial database operation that identifies pairs of objects from two spatial datasets based on spatial relationships. Due to the…

Databases · Computer Science 2025-04-03 Yongyi Liu , Ahmed Mahmood , Amr Magdy , Minyao Zhu

Order-preserving pattern matching was introduced recently but it has already attracted much attention. Given a reference sequence and a pattern, we want to locate all substrings of the reference sequence whose elements have the same…

Data Structures and Algorithms · Computer Science 2018-12-11 Gianni Decaroli , Travis Gagie , Giovanni Manzini