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Many algorithms for the computation of correspondences between deformable shapes rely on some variant of nearest neighbor matching in a descriptor space. Such are, for example, various point-wise correspondence recovery algorithms used as a…

Computer Vision and Pattern Recognition · Computer Science 2017-04-10 Matthias Vestner , Roee Litman , Emanuele Rodolà , Alex Bronstein , Daniel Cremers

This paper presents a framework for rigid point-set registration and merging using a robust continuous data representation. Our point-set representation is constructed by training a one-class support vector machine with a Gaussian radial…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Dylan Campbell , Lars Petersson

We present the first sample compression algorithm for nearest neighbors with non-trivial performance guarantees. We complement these guarantees by demonstrating almost matching hardness lower bounds, which show that our bound is nearly…

Machine Learning · Computer Science 2018-03-28 Lee-Ad Gottlieb , Aryeh Kontorovich , Pinhas Nisnevitch

We introduce Bayesian Bits, a practical method for joint mixed precision quantization and pruning through gradient based optimization. Bayesian Bits employs a novel decomposition of the quantization operation, which sequentially considers…

Machine Learning · Computer Science 2020-10-28 Mart van Baalen , Christos Louizos , Markus Nagel , Rana Ali Amjad , Ying Wang , Tijmen Blankevoort , Max Welling

Deep neural networks generally involve some layers with mil- lions of parameters, making them difficult to be deployed and updated on devices with limited resources such as mobile phones and other smart embedded systems. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2016-08-29 Xing Wang , Jie Liang

A new line of research uses compression methods to measure the similarity between signals. Two signals are considered similar if one can be compressed significantly when the information of the other is known. The existing compression-based…

Computer Vision and Pattern Recognition · Computer Science 2019-09-30 Tanaya Guha , Rabab K. Ward

This paper addresses the problem of collaborative navigation in an unknown environment, where two robots, referred to in the sequel as the Seeker and the Supporter, traverse the space simultaneously. The Supporter assists the Seeker by…

Robotics · Computer Science 2025-06-26 Ali Reza Pedram , Evangelos Psomiadis , Dipankar Maity , Panagiotis Tsiotras

This work proposes to reduce visibility data volume using a baseline-dependent lossy compression technique that preserves smearing at the edges of the field-of-view. We exploit the relation of the rank of a matrix and the fact that a…

Instrumentation and Methods for Astrophysics · Physics 2023-04-17 M Atemkeng , S Perkins , E Seck , S Makhathini , O Smirnov , L Bester , B Hugo

Many geometric optimization problems can be reduced to finding points in space (centers) minimizing an objective function which continuously depends on the distances from the centers to given input points. Examples are $k$-Means, Geometric…

Computational Geometry · Computer Science 2021-08-26 Vladimir Shenmaier

Four-dimensional scanning transmission electron microscopy (4D-STEM) generates multi-gigabyte datasets, creating a growing mismatch between acquisition rates and practical storage, transfer, and interactive visualization capabilities. We…

Signal Processing · Electrical Eng. & Systems 2026-04-09 Ondrej Dyck , Andrew R. Lupini , Albina Borisevich , Miaofang Chi , Rama K. Vasudevan , Stephen Jesse

The problem of performing similarity queries on compressed data is considered. We focus on the quadratic similarity measure, and study the fundamental tradeoff between compression rate, sequence length, and reliability of queries performed…

Information Theory · Computer Science 2016-11-18 Amir Ingber , Thomas Courtade , Tsachy Weissman

We propose a method for learning topology-preserving data representations (dimensionality reduction). The method aims to provide topological similarity between the data manifold and its latent representation via enforcing the similarity in…

Machine Learning · Computer Science 2023-05-05 Ilya Trofimov , Daniil Cherniavskii , Eduard Tulchinskii , Nikita Balabin , Evgeny Burnaev , Serguei Barannikov

We investigate the use of the Multiple Optimised Parameter Estimation and Data compression algorithm (MOPED) for data compression and faster evaluation of likelihood functions. Since MOPED only guarantees maintaining the Fisher matrix of…

Instrumentation and Methods for Astrophysics · Physics 2011-05-17 Philip Graff , Mike Hobson , Anthony Lasenby

Frugal computing is becoming an important topic for environmental reasons. In this context, several techniques have been proposed to reduce the storage of scientific data by dedicated compression methods specially tailored for arrays of…

Data Structures and Algorithms · Computer Science 2022-03-01 Matthieu Martel

We present an efficient coresets-based neural network compression algorithm that sparsifies the parameters of a trained fully-connected neural network in a manner that provably approximates the network's output. Our approach is based on an…

Machine Learning · Computer Science 2019-05-21 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus

Given a set of $n$ points in the plane, the Unit Disk Cover (UDC) problem asks to compute the minimum number of unit disks required to cover the points, along with a placement of the disks. The problem is NP-hard and several approximation…

Computational Geometry · Computer Science 2022-05-05 Rachel Friederich , Matthew Graham , Anirban Ghosh , Brian Hicks , Ronald Shevchenko

Optimal transport (OT) is a central framework for modeling distribution shifts. Because OT compares distributions directly in input space, a well-designed ground metric between observations is essential to ensure that the optimizer does not…

Machine Learning · Computer Science 2026-05-07 Philip Naumann , Jacob Kauffmann , Klaus-Robert Müller , Grégoire Montavon

Many modern search domains comprise high-dimensional vectors of floating point numbers derived from neural networks, in the form of embeddings. Typical embeddings range in size from hundreds to thousands of dimensions, making the size of…

Machine Learning · Computer Science 2025-06-03 Richard Connor , Alan Dearle , Ben Claydon

In quantum computation we are given a finite set of gates and we have to perform a desired operation as a product of them. The corresponding computational problem is approximating an arbitrary unitary as a product in a topological…

Quantum Physics · Physics 2007-05-23 Attila B. Nagy

Neural-network-based compressors have proven to be remarkably effective at compressing sources, such as images, that are nominally high-dimensional but presumed to be concentrated on a low-dimensional manifold. We consider a continuous-time…

Information Theory · Computer Science 2020-11-11 Aaron B. Wagner , Johannes Ballé