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Related papers: spd-metrics-id: A Python Package for SPD-Aware Dis…

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Representations in the form of Symmetric Positive Definite (SPD) matrices have been popularized in a variety of visual learning applications due to their demonstrated ability to capture rich second-order statistics of visual data. There…

Presentation Attack Detection (PAD) systems are usually designed independently of the fingerprint verification system. While this can be acceptable for use cases where specific user templates are not predetermined, it represents a missed…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Marco Micheletto , Giulia Orrù , Luca Ghiani , Gian Luca Marcialis

Shifted partial derivative (SPD) methods are a central algebraic tool for circuit lower bounds, measuring the dimension of spaces of shifted derivatives of a polynomial. We develop the Shifted Partial Derivative Polynomial (SPDP) framework,…

Computational Complexity · Computer Science 2025-12-25 Darren J. Edwards

Machine learning (ML) models rely heavily on consistent and accurate performance metrics to evaluate and compare their effectiveness. However, existing libraries often suffer from fragmentation, inconsistent implementations, and…

Image Copy Detection (ICD) aims to identify manipulated content between image pairs through robust feature representation learning. While self-supervised learning (SSL) has advanced ICD systems, existing view-level contrastive methods…

Computer Vision and Pattern Recognition · Computer Science 2026-02-26 Yichen Lu , Siwei Nie , Minlong Lu , Xudong Yang , Xiaobo Zhang , Peng Zhang

Symmetric Positive Definite (SPD) matrices have received wide attention in machine learning due to their intrinsic capacity to encode underlying structural correlation in data. Many successful Riemannian metrics have been proposed to…

Machine Learning · Computer Science 2024-08-30 Ziheng Chen , Yue Song , Tianyang Xu , Zhiwu Huang , Xiao-Jun Wu , Nicu Sebe

We introduce geomstats, a python package that performs computations on manifolds such as hyperspheres, hyperbolic spaces, spaces of symmetric positive definite matrices and Lie groups of transformations. We provide efficient and extensively…

Machine Learning · Computer Science 2018-11-07 Nina Miolane , Johan Mathe , Claire Donnat , Mikael Jorda , Xavier Pennec

Representing images and videos with Symmetric Positive Definite (SPD) matrices, and considering the Riemannian geometry of the resulting space, has been shown to yield high discriminative power in many visual recognition tasks.…

Computer Vision and Pattern Recognition · Computer Science 2016-05-23 Mehrtash Harandi , Mathieu Salzmann , Richard Hartley

Similarity measures are fundamental tools for quantifying the alignment between artificial and biological systems. However, the diversity of similarity measures and their varied naming and implementation conventions makes it challenging to…

Neurons and Cognition · Quantitative Biology 2025-09-09 Nathan Cloos , Guangyu Robert Yang , Christopher J. Cueva

ivadomed is an open-source Python package for designing, end-to-end training, and evaluating deep learning models applied to medical imaging data. The package includes APIs, command-line tools, documentation, and tutorials. ivadomed also…

Image and Video Processing · Electrical Eng. & Systems 2020-10-26 Charley Gros , Andreanne Lemay , Olivier Vincent , Lucas Rouhier , Anthime Bucquet , Joseph Paul Cohen , Julien Cohen-Adad

Background and Objective: Deep learning enables tremendous progress in medical image analysis. One driving force of this progress are open-source frameworks like TensorFlow and PyTorch. However, these frameworks rarely address issues…

Image and Video Processing · Electrical Eng. & Systems 2021-04-29 Alain Jungo , Olivier Scheidegger , Mauricio Reyes , Fabian Balsiger

mmid (Multi-Modal Integration and Downstream analyses for healthcare analytics) is a Python package that offers multi-modal fusion and imputation, classification, time-to-event prediction and clustering functionalities under a single…

Computer-aided design (CAD) has become a critical element in the creation of nanopatterned structures and devices. In particular, with the increased adoption of easy-to-learn programming languages like Python there has been a significant…

Superconductivity · Physics 2023-08-17 A. N. McCaughan , A. M. Tait , S. M. Buckley , D. M. Oh , J. T. Chiles , J. M. Shainline , S. W. Nam

The effectiveness of Symmetric Positive Definite (SPD) manifold features has been proven in various computer vision tasks. However, due to the non-Euclidean geometry of these features, existing Euclidean machineries cannot be directly used.…

Computer Vision and Pattern Recognition · Computer Science 2019-05-30 Kun Zhao , Arnold Wiliem , Shaokang Chen , Brian C. Lovell

This paper introduces PyMatching, a fast open-source Python package for decoding quantum error-correcting codes with the minimum-weight perfect matching (MWPM) algorithm. PyMatching includes the standard MWPM decoder as well as a variant,…

Quantum Physics · Physics 2021-07-14 Oscar Higgott

Software metrics capture information about software development processes and products. These metrics support decision-making, e.g., in team management or dependency selection. However, existing metrics tools measure only a snapshot of a…

The Wasserstein distance, also known as the Earth mover distance or optimal transport distance, is a widely used measure of similarity between probability distributions. This paper presents an linear programming based implementation of the…

Computation · Statistics 2025-10-29 Zehao Lu

Symmetric Positive Definite (SPD) matrices have become popular to encode image information. Accounting for the geometry of the Riemannian manifold of SPD matrices has proven key to the success of many algorithms. However, most existing…

Computer Vision and Pattern Recognition · Computer Science 2014-12-16 Sadeep Jayasumana , Richard Hartley , Mathieu Salzmann , Hongdong Li , Mehrtash Harandi

Comparison of graph structure is a ubiquitous task in data analysis and machine learning, with diverse applications in fields such as neuroscience, cyber security, social network analysis, and bioinformatics, among others. Discovery and…

Applications · Statistics 2023-01-11 Peter Wills , Francois G. Meyer

In the domain of pattern recognition, using the SPD (Symmetric Positive Definite) matrices to represent data and taking the metrics of resulting Riemannian manifold into account have been widely used for the task of image set…

Computer Vision and Pattern Recognition · Computer Science 2018-08-13 Kai-Xuan Chen , Xiao-Jun Wu