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In this article, we primarily propose a novel Bayesian characterization of stationary and nonstationary stochastic processes. In practice, this theory aims to distinguish between global stationarity and nonstationarity for both parametric…

统计理论 · 数学 2020-05-04 Sucharita Roy , Sourabh Bhattacharya

Classifications of $\rm{SL}(n)$ covariant function-valued valuations are established with some assumptions of continuity. New valuations, for example, weighted moment functions, are introduced and our classifications give unified…

度量几何 · 数学 2021-12-21 Jin Li

Affect (emotion) recognition has gained significant attention from researchers in the past decade. Emotion-aware computer systems and devices have many applications ranging from interactive robots, intelligent online tutor to emotion based…

人机交互 · 计算机科学 2016-07-12 Amol Patwardhan , Gerald Knapp

We give a new heuristic for all of the main terms in the integral moments of various families of primitive L-functions. The results agree with previous conjectures for the leading order terms. Our conjectures also have an almost identical…

Head-pose estimation has many applications, such as social event analysis, human-robot and human-computer interaction, driving assistance, and so forth. Head-pose estimation is challenging because it must cope with changing illumination…

计算机视觉与模式识别 · 计算机科学 2017-03-09 Vincent Drouard , Radu Horaud , Antoine Deleforge , Silèye Ba , Georgios Evangelidis

An unbiased estimator for the ellipticity of an object in a noisy image is given in terms of the image moments. Three assumptions are made: i) the pixel noise is normally distributed, although with arbitrary covariance matrix, ii) the image…

宇宙学与河外天体物理 · 物理学 2017-08-09 Nicolas Tessore

The performance of modern deep learning-based systems dramatically depends on the quality of input objects. For example, face recognition quality would be lower for blurry or corrupted inputs. However, it is hard to predict the influence of…

计算机视觉与模式识别 · 计算机科学 2022-09-13 Roman Kail , Kirill Fedyanin , Nikita Muravev , Alexey Zaytsev , Maxim Panov

Real-time magnetic resonance imaging (MRI) methods generally shorten the measuring time by acquiring less data than needed according to the sampling theorem. In order to obtain a proper image from such undersampled data, the reconstruction…

数值分析 · 数学 2013-12-05 Housen Li , Markus Haltmeier , Shuo Zhang , Jens Frahm , Axel Munk

In this work, a method for obtaining pixel-wise error bounds in Bayesian regularization of inverse imaging problems is introduced. The proposed method employs estimates of the posterior variance together with techniques from conformal…

计算机视觉与模式识别 · 计算机科学 2024-08-01 Dominik Narnhofer , Andreas Habring , Martin Holler , Thomas Pock

Using the large deviation principle (LDP) for a re-scaled fractional Brownian motion $B^H_t$ where the rate function is defined via the reproducing kernel Hilbert space, we compute small-time asymptotics for a correlated fractional…

证券定价 · 定量金融 2021-03-17 Martin Forde , Hongzhong Zhang

Facial expression recognition has been an active research area over the past few decades, and it is still challenging due to the high intra-class variation. Traditional approaches for this problem rely on hand-crafted features such as SIFT,…

计算机视觉与模式识别 · 计算机科学 2019-02-05 Shervin Minaee , Amirali Abdolrashidi

Computer Vision techniques represent a class of algorithms that are highly computation and data intensive in nature. Generally, performance of these algorithms in terms of execution speed on desktop computers is far from real-time. Since…

计算机视觉与模式识别 · 计算机科学 2015-04-30 Shoaib Ehsan , Adrian F. Clark , Klaus D. McDonald-Maier

Fractional moments have been investigated by many authors to represent the density of univariate and bivariate random variables in different contexts. Fractional moments are indeed important when the density of the random variable has…

统计力学 · 物理学 2009-11-18 Giulio Cottone , Mario Di Paola , Ralf Metzler

Real-world time series data are often generated from several sources of variation. Learning representations that capture the factors contributing to this variability enables a better understanding of the data via its underlying generative…

机器学习 · 计算机科学 2022-02-14 Sana Tonekaboni , Chun-Liang Li , Sercan Arik , Anna Goldenberg , Tomas Pfister

This work introduces a novel deep-learning approach for estimating age from a single facial image by refining an initial age estimate. The refinement leverages a reference face database of individuals with similar ages and appearances. We…

计算机视觉与模式识别 · 计算机科学 2025-02-10 Ran Sandhaus , Yosi Keller

In this paper we address smoothing-that is, optimisation-based-estimation techniques for localisation problems in the case where motion sensors are very accurate. Our mathematical analysis focuses on the difficult limit case where motion…

系统与控制 · 电气工程与系统科学 2022-04-12 Paul Chauchat , Silvere Bonnabel , Axel Barrau

This paper focuses on visual motion-based invariants that result in a representation of 3D points in which the stationary environment remains invariant, ensuring shape constancy. This is achieved even as the images undergo constant change…

计算机视觉与模式识别 · 计算机科学 2023-10-17 Juan D. Yepes , Daniel Raviv

Classifying facial expressions into different categories requires capturing regional distortions of facial landmarks. We believe that second-order statistics such as covariance is better able to capture such distortions in regional facial…

计算机视觉与模式识别 · 计算机科学 2018-05-15 Dinesh Acharya , Zhiwu Huang , Danda Paudel , Luc Van Gool

We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

机器学习 · 计算机科学 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

Function registration, also referred to as alignment, has been one of the fundamental problems in the field of functional data analysis. Classical registration methods such as the Fisher-Rao alignment focus on estimating optimal time…

统计方法学 · 统计学 2024-10-22 Yijia Ma , Wei Wu