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Strict linear feasibility or linear separation is usually tackled using efficient approximation/stochastic algorithms (that may even run in sub-linear times in expectation). However, today state of the art for solving…

Data Structures and Algorithms · Computer Science 2026-02-17 Adrien Chan-Hon-Tong

EigenDecomposition (ED) is at the heart of many computer vision algorithms and applications. One crucial bottleneck limiting its usage is the expensive computation cost, particularly for a mini-batch of matrices in deep neural networks. Our…

Machine Learning · Computer Science 2026-05-01 Yue Song

As an approximate nearest neighbor search technique, hashing has been widely applied in large-scale image retrieval due to its excellent efficiency. Most supervised deep hashing methods have similar loss designs with embedding learning,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Shen Chen , Liujuan Cao , Mingbao Lin , Yan Wang , Xiaoshuai Sun , Chenglin Wu , Jingfei Qiu , Rongrong Ji

Image hashing is one of the fundamental problems that demand both efficient and effective solutions for various practical scenarios. Adversarial autoencoders are shown to be able to implicitly learn a robust, locality-preserving hash…

Information Retrieval · Computer Science 2020-05-27 Khoa D. Doan , Saurav Manchanda , Sarkhan Badirli , Chandan K. Reddy

EigenAI is a verifiable AI platform built on top of the EigenLayer restaking ecosystem. At a high level, it combines a deterministic large-language model (LLM) inference engine with a cryptoeconomically secured optimistic re-execution…

Cryptography and Security · Computer Science 2026-02-03 David Ribeiro Alves , Vishnu Patankar , Matheus Pereira , Jamie Stephens , Nima Vaziri , Sreeram Kannan

In the context of kernel methods, the similarity between data points is encoded by the kernel function which is often defined thanks to the Euclidean distance, a common example being the squared exponential kernel. Recently, other distances…

Machine Learning · Computer Science 2020-02-06 Henri De Plaen , Michaël Fanuel , Johan A. K. Suykens

We propose an approach for capturing the signal variability in hyperspectral imagery using the framework of the Grassmann manifold. Labeled points from each class are sampled and used to form abstract points on the Grassmannian. The…

Computer Vision and Pattern Recognition · Computer Science 2015-02-04 Sofya Chepushtanova , Michael Kirby

Coins are integral part of our day to day life. We use coins everywhere like grocery store, banks, buses, trains etc. So it becomes a basic need that coins can be sorted and counted automatically. For this it is necessary that coins can be…

Computer Vision and Pattern Recognition · Computer Science 2013-12-24 Shatrughan Modi , Dr. Seema Bawa

The reliable measurement of confidence in classifiers' predictions is very important for many applications and is, therefore, an important part of classifier design. Yet, although deep learning has received tremendous attention in recent…

Artificial Intelligence · Computer Science 2020-07-01 Amit Mandelbaum , Daphna Weinshall

The self-consistent procedure in electronic structure calculations is revisited using a highly efficient and robust algorithm for solving the non-linear eigenvector problem i.e. H({{\psi}}){\psi} = E{\psi}. This new scheme is derived from a…

Computational Physics · Physics 2015-06-12 Brendan Gavin , Eric Polizzi

We develop an accelerated gradient descent algorithm on the Grassmann manifold to compute the subspace spanned by a number of leading eigenvectors of a symmetric positive semi-definite matrix. This has a constant cost per iteration and a…

Optimization and Control · Mathematics 2024-06-27 Foivos Alimisis , Simon Vary , Bart Vandereycken

Building meaningful interoperation with external software units requires performing the conceptual interoperability analysis that starts with identifying the conceptual interoperability constraints of each software unit, then it compares…

Software Engineering · Computer Science 2018-12-06 Hadil Abukwaik , Mohammed Abufouda , Thejashree Nair , Dieter Rombach

The nested distance builds on the Wasserstein distance to quantify the difference of stochastic processes, including also the information modelled by filtrations. The Sinkhorn divergence is a relaxation of the Wasserstein distance, which…

Optimization and Control · Mathematics 2021-02-11 Alois Pichler , Michael Weinhardt

Pattern recognition constitutes a particularly important task underlying a great deal of scientific and technologica activities. At the same time, pattern recognition involves several challenges, including the choice of features to…

Machine Learning · Computer Science 2024-09-04 Alexandre Benatti , Luciano da F. Costa

There are different measures to classify a network's data set that, depending on the problem, have different success. For example, the resistance distance and eigenvector centrality measures have been successful in revealing ecological…

Physics and Society · Physics 2021-02-03 Caracé Gutiérrez , Juan Gancio , Cecilia Cabeza , Nicolás Rubido

Efron [Biometrika 58 (1971) 403--417] developed a restricted randomization procedure to promote balance between two treatment groups in a sequential clinical trial. He called this the biased coin design. He also introduced the concept of…

Statistics Theory · Mathematics 2010-10-05 Tigran Markaryan , William F. Rosenberger

As the amount of economic and other data generated worldwide increases vastly, a challenge for future generations of econometricians will be to master efficient algorithms for inference in empirical models with large information sets. This…

Computation · Statistics 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

The counterfeit coin problem requires us to find all false coins from a given bunch of coins using a balance scale. We assume that the balance scale gives us only ``balanced'' or ``tilted'' information and that we know the number k of false…

Quantum Physics · Physics 2013-12-05 Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Junichi Teruyama

Bayesian modelling enables us to accommodate complex forms of data and make a comprehensive inference, but the effect of partial misspecification of the model is a concern. One approach in this setting is to modularize the model, and…

Methodology · Statistics 2026-03-18 Yang Liu , Robert J. B. Goudie

A simple computer-based algorithm has been developed to identify pre-modern coins minted from the same dies, intending mainly coins minted by hand-made dies designed to be applicable to images taken from auction websites or catalogs. Though…

Data Analysis, Statistics and Probability · Physics 2019-07-05 Luca Lista