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In this paper we introduce the notion of cofrontal mappings, as the dual objects to frontal mappings, and study their basic local and global properties. Cofrontals are very special mappings and far from generic nor stable except for the…

Differential Geometry · Mathematics 2018-11-06 Goo Ishikawa

We extend Random Access, a fundamental operation that enables efficient search and exploration algorithms, to the modern interactive data systems based on Ranked Retrieval and Similarity Search, where orderings are dynamically defined over…

Data Structures and Algorithms · Computer Science 2026-05-26 Mohsen Dehghankar , Abolfazl Asudeh , Raghav Mittal , Suraj Shetiya , Gautam Das

Scattered data fitting is a frequently encountered problem for reconstructing an unknown function from given scattered data. Radial basis function (RBF) methods have proven to be highly useful to deal with this problem. We describe two…

Numerical Analysis · Mathematics 2021-12-21 Lingxia Cui , Hua Xiang

Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance. Recently proposed cyclotomic…

Information Theory · Computer Science 2015-05-19 Xuebin Wu , Meghanad Wagh , Ning Chen , Zhiyuan Yan , Ying Wang

Errors in the published version of the paper are corrected, and new figures are provided.

High Energy Physics - Phenomenology · Physics 2008-11-26 E. L. Berger , M. Klasen , T. M. P. Tait

This paper studies the underlying combinatorial structure of a class of object rearrangement problems, which appear frequently in applications. The problems involve multiple, similar-geometry objects placed on a flat, horizontal surface,…

Robotics · Computer Science 2017-11-21 Shuai D Han , Nicholas M Stiffler , Athanasios Krontiris , Kostas E Bekris , Jingjin Yu

In low altitude UAV communications, accurate channel estimation remains challenging due to the dynamic nature of air to ground links, exacerbated by high node mobility and the use of large scale antenna arrays, which introduce hybrid near…

Information Theory · Computer Science 2025-10-24 Wenli Yuan , Kan Yu , Xiaowu Liu , Kaixuan Li , Qixun Zhang , Zhiyong Feng

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

Establishing bounds on the accuracy achievable by localization techniques represents a fundamental technical issue. Bounds on localization accuracy have been derived for cases in which the position of an agent is estimated on the basis of a…

Information Theory · Computer Science 2013-03-12 Francesco Montorsi , Santiago Mazuelas , Giorgio M. Vitetta , Moe Z. Win

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

Data Structures and Algorithms · Computer Science 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan

Recognizing precise geometrical configurations of groups of objects is a key capability of human spatial cognition, yet little studied in the deep learning literature so far. In particular, a fundamental problem is how a machine can learn…

Machine Learning · Computer Science 2020-07-20 Laetitia Teodorescu , Katja Hofmann , Pierre-Yves Oudeyer

This study presents novel methods for computing fixed points of positive concave mappings and for characterizing the existence of fixed points. These methods are particularly important in planning and optimization tasks in wireless…

Information Theory · Computer Science 2020-09-30 Renato L. G. Cavalcante , Yuxiang Shen , Slawomir Stańczak

Distributed optimization algorithms have emerged as a superior approaches for solving machine learning problems. To accommodate the diverse ways in which data can be stored across devices, these methods must be adaptable to a wide range of…

Optimization and Control · Mathematics 2024-04-23 Sergey Stanko , Timur Karimullin , Aleksandr Beznosikov , Alexander Gasnikov

In this paper we aim to determine the location and orientation of a ground-level query image by matching to a reference database of overhead (e.g. satellite) images. For this task we collect a new dataset with one million pairs of street…

Computer Vision and Pattern Recognition · Computer Science 2017-03-24 Nam Vo , James Hays

Recently, the influence of potentially present symmetries has begun to be studied in complex networks. A typical way of studying symmetries is via the automorphism group of the corresponding graph. Since complex networks are often subject…

Social and Information Networks · Computer Science 2025-02-26 David Hartman , Jaroslav Hlinka , Anna Pidnebesna , František Szczepanik

Parking spots are essential components, providing vital mobile resources for residents in a city. Accurate Global Positioning System (GPS) points of parking spots are the core data for subsequent applications,e.g., parking management,…

Machine Learning · Computer Science 2025-10-16 Jiaxing Deng , Junbiao Pang , Zhicheng Wang , Haitao Yu

In this paper, we examine the problem of rearranging many objects on a tabletop in a cluttered setting using overhand grasps. Efficient solutions for the problem, which capture a common task that we solve on a daily basis, are essential in…

Robotics · Computer Science 2021-10-26 Kai Gao , Darren Lau , Baichuan Huang , Kostas E. Bekris , Jingjin Yu

One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix--the minimum rank of a matrix which is entrywise close to the…

Computational Complexity · Computer Science 2021-03-09 Troy Lee , Adi Shraibman

We propose a new class of random feature methods for linearizing softmax and Gaussian kernels called hybrid random features (HRFs) that automatically adapt the quality of kernel estimation to provide most accurate approximation in the…