Non-Ergodic Convergence Analysis of Heavy-Ball Algorithms
Proceedings of the AAAI Conference on Artificial Intelligence, 2019 In this paper, we revisit the convergence of the Heavy-ball method, and present improved convergence complexity results in the convex setting. We provide the first non-ergodic O(1/k) rate result of the Heavy-ball algorithm with constant step size for coercive objective functions.
Tao Sun 0005 +5 more
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Applications of ball spaces theory: fixed point theorems in semimetric spaces and ball convergence
Journal of Fixed Point Theory and Applications, 2022 AbstractIn the paper, we apply some of the results from the theory of ball spaces in semimetric setting. This allows us to obtain fixed point theorems which we believe to be unknown to this day. As a byproduct, we obtain the equivalence of some different notions of completeness in semimetric spaces where the distance function is 1-continuous.
Piotr Nowakowski, Filip Turoboś
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A Study of Diagnostic Signatures of a Deep Groove Ball Bearing Based on a Nonlinear Dynamic Mode [PDF]
, 2015 For accurate fault detection and diagnosis, this paper focuses on the study of bearing vibration responses under increasing radial clearances due to investable wear and different bearing grades.
Gu, Fengshou +8 more
core +4 more sources
Stabilized Cubic GeTe With Matched Grain-Boundary Networks and Band Convergence for High-Performance Dual-Mode Thermoelectric Devices. [PDF]
Adv Sci (Weinh)I‐doping stabilizes the cubic phase of GeTe and generates “electron‐transparent, phonon‐blocking” grain boundary networks while inducing valence‐band convergence. This synergistic structural‐electronic design enables effective electron‐phonon decoupling, achieving an exceptional average zTave of ∼1.62, a peak zT of ∼2.2, and enhanced mechanical ...
Tan X +10 more
europepmc +2 more sources
Tracking the soccer ball using multiple fixed cameras [PDF]
, 2008 This paper demonstrates innovative techniques for estimating the trajectory of a soccer ball from multiple fixed cameras. Since the ball is nearly always moving and frequently occluded, its size and shape appearance varies over time and between cameras ...
Orwell, James +10 more
core +4 more sources
Mathematics, 2022 In the given study, we investigate the three-step NTS’s ball convergence for solving nonlinear operator equations with a convergence order of five in a Banach setting.
Akanksha Saxena +3 more
doaj +1 more source
Convergence rates of the Heavy-Ball method under the Łojasiewicz property
Mathematical Programming, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aujol, J-F +2 more
openaire +3 more sources
Generating ball trajectory in soccer video sequences [PDF]
, 2006 This paper demonstrates innovative techniques for estimating the trajectory of a soccer ball, using fixed cameras with constant calibration parameters.
Orwell, James +4 more
core +3 more sources
The Newtonian Operator and Global Convergence Balls for Newton’s Method [PDF]
Mathematics, 2020 We obtain results of restricted global convergence for Newton’s method from ideas based on the Fixed-Point theorem and using the Newtonian operator and auxiliary points. The results are illustrated with a non-linear integral equation of Davis-type and improve the results previously given by the authors.
Ezquerro, José A. +3 more
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Ball Comparison between Two Efficient Weighted-Newton-like Solvers for Equations
Foundations, 2022 We compare the convergence balls and the dynamical behaviors of two efficient weighted-Newton-like equation solvers by Sharma and Arora, and Grau-Sánchez et al.
Ioannis K. Argyros +3 more
doaj +1 more source