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In mathematics the signature of a path is a collection of iterated integrals, commonly used for solving differential equations. We show that the path signature, used as a set of features for consumption by a convolutional neural network…

Computer Vision and Pattern Recognition · Computer Science 2013-12-03 Benjamin Graham

In this work, a feature extraction method for offline signature verification is presented that harnesses the power of sparse representation in order to deliver state-of-the-art verification performance in several signature datasets like…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Elias N. Zois , Dimitrios Tsourounis , Ilias Theodorakopoulos , Anastasios Kesidis , George Economou

Topological methods for data analysis present opportunities for enforcing certain invariances of broad interest in computer vision, including view-point in activity analysis, articulation in shape analysis, and measurement invariance in…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Anirudh Som , Kowshik Thopalli , Karthikeyan Natesan Ramamurthy , Vinay Venkataraman , Ankita Shukla , Pavan Turaga

Signature kernels, inner products of path signatures, underpin several machine learning algorithms for multivariate time series analysis. For bounded variation paths, signature kernels were recently shown to solve a Goursat PDE. However,…

Machine Learning · Computer Science 2025-06-03 Maud Lemercier , Terry Lyons , Cristopher Salvi

The area of Handwritten Signature Verification has been broadly researched in the last decades, but remains an open research problem. The objective of signature verification systems is to discriminate if a given signature is genuine…

Computer Vision and Pattern Recognition · Computer Science 2019-01-25 Luiz G. Hafemann , Robert Sabourin , Luiz S. Oliveira

Processing of symbolic sequences represented by mapping of symbolic data into numerical signals is commonly used in various applications. It is a particularly popular approach in genomic and proteomic sequence analysis. Numerous mappings of…

Information Theory · Computer Science 2015-05-13 Liming Wang , Dan Schonfeld

Machine learning (ML) is a promising approach for predicting small molecule properties in drug discovery. Here, we provide a comprehensive overview of various ML methods introduced for this purpose in recent years. We review a wide range of…

Biomolecules · Quantitative Biology 2023-08-25 Nikolai Schapin , Maciej Majewski , Alejandro Varela , Carlos Arroniz , Gianni De Fabritiis

We introduce the notions of tree-like path and tree-like equivalence between paths and prove that the latter is an equivalence relation for paths of finite length. We show that the equivalence classes form a group with some similarity to a…

Classical Analysis and ODEs · Mathematics 2013-05-06 Ben Hambly , Terry Lyons

This paper presents a novel approach to the digital signing of electronic documents through the use of a camera-based interaction system, single-finger tracking for sign recognition, and multi commands executing hand gestures. The proposed…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 P. Sarveswarasarma , T. Sathulakjan , V. J. V. Godfrey , Thanuja D. Ambegoda

Signed graphs are graphs with signed edges. They are commonly used to represent positive and negative relationships in social networks. While balance theory and clusterizable graphs deal with signed graphs to represent social interactions,…

Discrete Mathematics · Computer Science 2014-05-21 Anne-Marie Kermarrec , Christopher Thraves

Although secular, handwritten signature is one of the most reliable biometric methods used by most countries. In the last ten years, the application of technology for verification of handwritten signatures has evolved strongly, including…

Computer Vision and Pattern Recognition · Computer Science 2020-06-01 Celso A. M. Lopes Junior , Matheus Henrique M. da Silva , Byron Leite Dantas Bezerra , Bruno Jose Torres Fernandes , Donato Impedovo

Network embedding is aimed at mapping nodes in a network into low-dimensional vector representations. Graph Neural Networks (GNNs) have received widespread attention and lead to state-of-the-art performance in learning node representations.…

Social and Information Networks · Computer Science 2023-03-17 Junjie Huang , Huawei Shen , Liang Hou , Xueqi Cheng

Regularization is used in many different areas of optimization when solutions are sought which not only minimize a given function, but also possess a certain degree of regularity. Popular applications are image denoising, sparse regression…

Optimization and Control · Mathematics 2021-11-15 Bennet Gebken , Katharina Bieker , Sebastian Peitz

Network embedding, which aims to learn low-dimensional representations of nodes, has been used for various graph related tasks including visualization, link prediction and node classification. Most existing embedding methods rely solely on…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Homa Hosseinmardi , Emilio Ferrara , Aram Galstyan

Graphs provide a powerful representation formalism that offers great promise to benefit tasks like handwritten signature verification. While most state-of-the-art approaches to signature verification rely on fixed-size representations,…

Computer Vision and Pattern Recognition · Computer Science 2019-06-26 Paul Maergner , Nicholas R. Howe , Kaspar Riesen , Rolf Ingold , Andreas Fischer

Palmprint is one of the most useful physiological biometrics that can be used as a powerful means in personal recognition systems. The major features of the palmprints are palm lines, wrinkles and ridges, and many approaches use them in…

Computer Vision and Pattern Recognition · Computer Science 2015-06-25 Shervin Minaee , AmirAli Abdolrashidi

Statistical learning is the process of estimating an unknown probabilistic input-output relationship of a system using a limited number of observations. A statistical learning machine (SLM) is the algorithm, function, model, or rule, that…

Machine Learning · Statistics 2026-04-26 Waleed A. Yousef

Finding efficient means of fingerprinting microstructural information is a critical step towards harnessing data-centric machine learning approaches. A statistical framework is systematically developed for compressed characterisation of a…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Michael D. White , Alexander Tarakanov , Christopher P. Race , Philip J. Withers , Kody J. H. Law

A subgraph is constructed by using a subset of vertices and edges of a given graph. There exist many graph properties that are hereditary for subgraphs. Hence, researchers from different communities have paid a great deal of attention in…

Combinatorics · Mathematics 2023-06-06 Kai Siong Yow , Ningyi Liao , Siqiang Luo , Reynold Cheng , Chenhao Ma , Xiaolin Han

Machine learning is often viewed as a black box when it comes to understanding its output, be it a decision or a score. Automatic anomaly detection is no exception to this rule, and quite often the astronomer is left to independently…