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This work proposes a hyper-reduction method for nonlinear parametric dynamical systems characterized by gradient fields such as Hamiltonian systems and gradient flows. The gradient structure is associated with conservation of invariants or…

Numerical Analysis · Mathematics 2023-07-24 Cecilia Pagliantini , Federico Vismara

Line segment extraction is effective for capturing geometric features of human-made environments. Event-based cameras, which asynchronously respond to contrast changes along edges, enable efficient extraction by reducing redundant data.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Mikihiro Ikura , Arren Glover , Masayoshi Mizuno , Chiara Bartolozzi

Hamiltonian neural networks (HNNs) are state-of-the-art models that regress the vector field of a dynamical system under the learning bias of Hamilton's equations. A recent observation is that embedding a bias regarding the additive…

Machine Learning · Computer Science 2024-08-16 Zi-Yu Khoo , Dawen Wu , Jonathan Sze Choong Low , Stéphane Bressan

Computational neuroscience studies that have examined human visual system through functional magnetic resonance imaging (fMRI) have identified a model where the mammalian brain pursues two distinct pathways (for recognition of biological…

Computer Vision and Pattern Recognition · Computer Science 2015-09-15 Bardia Yousefi , C. K. Loo

Feature extraction is a key step in image processing for pattern recognition and machine learning processes. Its purpose lies in reducing the dimensionality of the input data through the computing of features which accurately describe the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-14 Thomas Lacombe , Hugues Favreliere , Maurice Pillet

Lattice Hamiltonian systems underpin models across condensed matter, nonlinear optics, and biophysics, yet learning their dynamics from data is obstructed by two unknowns: the interaction topology and whether node dynamics are homogeneous.…

Machine Learning · Computer Science 2026-04-28 Ru Geng , Panayotis Kevrekidis , Yixian Gao , Hong-Kun Zhang , Jian Zu

A new method is proposed to get image features' geometric information. Using Gaussian as an input signal, a theoretical optimal solution to calculate feature's affine shape is proposed. Based on analytic result of a feature model, the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Xiaopeng Xu , Xiaochun Zhang

We present a progressive image decomposition method based on a novel non-linear filter named Sub-window Variance filter. Our method is specifically designed for image detail enhancement purpose; this application requires extraction of image…

Computer Vision and Pattern Recognition · Computer Science 2021-07-23 Kin-Ming Wong

In this paper, we developed the solution of roadside LiDAR object detection using a combination of two unsupervised learning algorithms. The 3D point clouds are firstly converted into spherical coordinates and filled into the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Tianya Zhang , Peter J. Jin

The proposed feature selection method builds a histogram of the most stable features from random subsets of a training set and ranks the features based on a classifier based cross-validation. This approach reduces the instability of…

Artificial Intelligence · Computer Science 2012-02-07 Alex Pappachen James , Akshay Maan

We propose Power Slow Feature Analysis, a gradient-based method to extract temporally slow features from a high-dimensional input stream that varies on a faster time-scale, as a variant of Slow Feature Analysis (SFA) that allows end-to-end…

Machine Learning · Computer Science 2019-07-19 Merlin Schüler , Hlynur Davíð Hlynsson , Laurenz Wiskott

This study introduces a novel expert generation method that dynamically reduces task and computational complexity without compromising predictive performance. It is based on a new hierarchical classification network topology that combines…

Machine Learning · Computer Science 2024-11-21 André Kelm , Niels Hannemann , Bruno Heberle , Lucas Schmidt , Tim Rolff , Christian Wilms , Ehsan Yaghoubi , Simone Frintrop

This paper introduces a novel feature extraction technique for the analysis of spectral line Stokes profiles. The procedure is based on the use of an auto-associative artificial neural network containing non-linear hidden layers. The neural…

Astrophysics · Physics 2009-11-10 H. Socas-Navarro

In histopathological image analysis, feature extraction for classification is a challenging task due to the diversity of histology features suitable for each problem as well as presence of rich geometrical structure. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Tiep H. Vu , Hojjat S. Mousavi , Vishal Monga , UK Arvind Rao , Ganesh Rao

When performing data classification over a stream of continuously occurring instances, a key challenge is to develop an open-world classifier that anticipates instances from an unknown class. Studies addressing this problem, typically…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Yang Gao , Swarup Chandra , Zhuoyi Wang , Latifur Khan

We explore object detection with two attributes: color and material. The task aims to simultaneously detect objects and infer their color and material. A straight-forward approach is to add attribute heads at the very end of a usual object…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Zhaoheng Zheng , Arka Sadhu , Ram Nevatia

We introduce a novel gradient descent algorithm extending the well-known Gradient Sampling methodology to the class of stratifiably smooth objective functions, which are defined as locally Lipschitz functions that are smooth on some regular…

Computational Geometry · Computer Science 2021-09-06 Jacob Leygonie , Mathieu Carrière , Théo Lacombe , Steve Oudot

Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is fully determined…

Numerical Analysis · Mathematics 2022-06-28 Elena Celledoni , Andrea Leone , Davide Murari , Brynjulf Owren

Feature selection is an important task in many problems occurring in pattern recognition, bioinformatics, machine learning and data mining applications. The feature selection approach enables us to reduce the computation burden and the…

Machine Learning · Computer Science 2016-08-30 Hadi Zare , Mojtaba Niazi

Research on human face processing using eye movements has provided evidence that we recognize face images successfully focusing our visual attention on a few inner facial regions, mainly on the eyes, nose and mouth. To understand how we…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 Carlos E. Thomaz , Vagner Amaral , Gilson A. Giraldi , Duncan F. Gillies , Daniel Rueckert