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It is a well-known fact that mathematical functions that are timelimited (or spacelimited) cannot be simultaneously bandlimited (in frequency). Yet the finite precision of measurement and computation unavoidably bandlimits our observation…

Data Analysis, Statistics and Probability · Physics 2013-06-14 Frederik J. Simons

Human eyes concentrate different facial regions during distinct cognitive activities. We study utilising facial visual saliency maps to classify different facial expressions into different emotions. Our results show that our novel method of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-13 Zhenyue Qin , Jie Wu

We introduce a new method for studying murmurations, based on random matrix theory. With this method, we exhibit murmurations or similar phenomena: assuming ratios conjectures, for elliptic curves ordered by height, quadratic twists of a…

Number Theory · Mathematics 2025-04-23 Alex Cowan

We propose a new set of rotationally and translationally invariant features for image or pattern recognition and classification. The new features are cubic polynomials in the pixel intensities and provide a richer representation of the…

Computer Vision and Pattern Recognition · Computer Science 2011-11-09 Risi Kondor

In this paper, we develop an analytical formulation for the Slepian spatial-spectral concentration problem on the sphere for a limited colatitude-longitude spatial region on the sphere, defined as the Cartesian product of a range of…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-01 Alice P. Bates , Zubair Khalid , Rodney A. Kennedy

We introduce a new rotationally invariant viewing angle classification method for identifying, among a large number of Cryo-EM projection images, similar views without prior knowledge of the molecule. Our rotationally invariant features are…

Biomolecules · Quantitative Biology 2014-03-19 Zhizhen Zhao , Amit Singer

We tackle the problem of learning a rotation invariant latent factor model when the training data is comprised of lower-dimensional projections of the original feature space. The main goal is the discovery of a set of 3-D bases poses that…

Computer Vision and Pattern Recognition · Computer Science 2016-09-27 Matteo Ruggero Ronchi , Joon Sik Kim , Yisong Yue

Neurons can display highly variable dynamics. While such variability presumably supports the wide range of behaviors generated by the organism, their gene expressions are relatively stable in the adult brain. This suggests that neuronal…

Neurons and Cognition · Quantitative Biology 2023-11-07 Lu Mi , Trung Le , Tianxing He , Eli Shlizerman , Uygar Sümbül

Rotation-invariant recognition of shapes is a common challenge in computer vision. Recent approaches have significantly improved the accuracy of rotation-invariant recognition by encoding the rotational invariance of shapes as hand-crafted…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Yanjie Xu , Handing Xu , Tianmu Wang , Yaguan Li , Yunzhi Chen , Zhenguo Nie

Face recognition in real-time scenarios is mainly affected by illumination, expression and pose variations and also by occlusion. This paper presents the framework for pose adaptive component-based face recognition system. The framework…

Computer Vision and Pattern Recognition · Computer Science 2014-03-07 Shireesha Chintalapati , M. V. Raghunadh

Face recognition has been an active research area in the past few decades. In general, face recognition can be very challenging due to variations in viewpoint, illumination, facial expression, etc. Therefore it is essential to extract…

Computer Vision and Pattern Recognition · Computer Science 2017-12-04 Shervin Minaee , Amirali Abdolrashidi , Yao Wang

We propose a novel recurrent encoder-decoder network model for real-time video-based face alignment. Our proposed model predicts 2D facial point maps regularized by a regression loss, while uniquely exploiting recurrent learning at both…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Xi Peng , Rogerio S. Feris , Xiaoyu Wang , Dimitris N. Metaxas

Slepian functions provide a solution to the optimization problem of joint time-frequency localization. Here, this concept is extended by using a generalized optimization criterion that favors energy concentration in one interval while…

Signal Processing · Electrical Eng. & Systems 2018-08-01 Robin Demesmaeker , Maria Giulia Preti , Dimitri Van De Ville

A rigid-motion scattering computes adaptive invariants along translations and rotations, with a deep convolutional network. Convolutions are calculated on the rigid-motion group, with wavelets defined on the translation and rotation…

Computer Vision and Pattern Recognition · Computer Science 2014-03-10 Laurent SIfre , Stéphane Mallat

Pose-invariant face recognition has become a challenging problem for modern AI-based face recognition systems. It aims at matching a profile face captured in the wild with a frontal face registered in a database. Existing methods perform…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Nikolay Stanishev , Yuhang Lu , Touradj Ebrahimi

Hand action recognition is essential. Communication, human-robot interactions, and gesture control are dependent on it. Skeleton-based action recognition traditionally includes hands, which belong to the classes which remain challenging to…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Katharina Prasse , Steffen Jung , Yuxuan Zhou , Margret Keuper

Unlike conventional frame-based sensors, event-based visual sensors output information through spikes at a high temporal resolution. By only encoding changes in pixel intensity, they showcase a low-power consuming, low-latency approach to…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Rohan Ghosh , Anupam Gupta , Siyi Tang , Alcimar Soares , Nitish Thakor

Bayesian analysis of functions and curves is considered, where warping and other geometrical transformations are often required for meaningful comparisons. We focus on two applications involving the classification of mouse vertebrae shape…

Methodology · Statistics 2013-11-12 Wen Cheng , Ian L. Dryden , Xianzheng Huang

This paper proposes a robust approach for face detection and gender classification in color images. Previous researches about gender recognition suppose an expensive computational and time-consuming pre-processing step in order to alignment…

Artificial Intelligence · Computer Science 2011-08-09 Sahar Yousefi , Morteza Zahedi

We present techniques for improving performance driven facial animation, emotion recognition, and facial key-point or landmark prediction using learned identity invariant representations. Established approaches to these problems can work…

Computer Vision and Pattern Recognition · Computer Science 2016-05-24 David Rim , Sina Honari , Md Kamrul Hasan , Chris Pal