Nonsmooth analysis of three-dimensional slipping and rolling in the presence of dry friction. [PDF]
Nonlinear Dyn, 2019 In this paper, the nonsmooth dynamics of two contacting rigid bodies is analysed in the presence of dry friction. In three dimensions, slipping can occur in continuously many directions.
Antali M, Stepan G.
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Weak Subdifferential in Nonsmooth Analysis and Optimization [PDF]
Journal of Applied Mathematics, 2011 Some properties of the weak subdifferential are considered in this paper. By using the definition and properties of the weak subdifferential which are described in the papers (Azimov and Gasimov, 1999; Kasimbeyli and Mammadov, 2009; Kasimbeyli and ...
Şahlar F. Meherrem, Refet Polat
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, 1984 This survey of nonsmooth analysis sets out to prove an inverse function theorem for set-valued maps. The inverse function theorem for the more usual smooth maps plays a very important role in the solution of many problems in pure and applied analysis, and we can expect such an adaptation of this theorem also to be of great value. For example, it can be
Aubin, J.-P., Ekeland, I.
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A Unified Convergence Analysis for Some Two-Point Type Methods for Nonsmooth Operators [PDF]
Mathematics, 2019 The aim of this paper is the approximation of nonlinear equations using iterative methods. We present a unified convergence analysis for some two-point type methods.
Sergio Amat +4 more
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Editorial for the Special Issue on “Recent Advances in Nonsmooth Optimization and Analysis”
AlgorithmsIn recent years, nonsmooth optimization and analysis have seen remarkable advancements, significantly impacting various scientific and engineering disciplines [...]
Sorin-Mihai Grad
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Smoothed quantile residual life regression analysis with application to the Korea HIV/AIDS cohort study [PDF]
BMC Medical Research MethodologyBackground The residual life of a patient with human immunodeficiency virus (HIV) is of major interest to patients and their physicians. While existing analyses of HIV patient survival focus mostly on data collected at baseline, residual life analysis ...
Soo Min Kim +3 more
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Nonsmooth Dynamical Systems: Analysis, Control and Optimization
, 2023 For the modeling of a large class of physical phenomena, certain electrical and mechanical devices, and even for some algorithms, the framework of nonsmooth systems provides a class of mathematical models that accurately describe the underlying ...
Diehl, Moritz +2 more
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A CECT-Based 2PI System as a Novel Noninvasive Prognostic Tool for Hepatocellular Carcinoma: A Dual-Validation Study. [PDF]
Cancer SciUsing differential weighting, we developed a 2PI‐based risk stratification system for HCC recurrence. A comprehensive prognostic model incorporating clinical variables and the 2PI score further enhanced postoperative prediction in solitary HCC and showed initial generalizability across SR and RFA cohorts.
Cui Y +10 more
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Nonsmooth nonconvex–nonconcave minimax optimization: Primal–dual balancing and iteration complexity analysis [PDF]
Mathematical programming, 2022 Nonconvex–nonconcave minimax optimization has gained widespread interest over the last decade. However, most existing works focus on variants of gradient descent-ascent (GDA) algorithms, which are only applicable to smooth nonconvex–concave settings.
Jia-Jin Li +2 more
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