Results 31 to 40 of about 434 (153)
Existence of nontrivial solutions for quasi-linear resonant problems
, 2007 Combining the minimax arguments and the Morse Theory, by computing the critical groups at zero, we establish the existence of a nontrivial solution for a class of Dirichlet boundary value problems, with resonance at infinity and ...
Abdel Rachid El AMROUSS +1 more
core +1 more source
On the existence of solutions to adversarial training in multiclass classification
European Journal of Applied MathematicsAdversarial training is a min-max optimization problem that is designed to construct robust classifiers against adversarial perturbations of data. We study three models of adversarial training in the multiclass agnostic-classifier setting.
Nicolás García Trillos +2 more
doaj +1 more source
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
Existence of multiple nontrivial solutions for semilinear elliptic problems
, 2009 The aim of this paper is to prove the existence of multiple nontrivial solutions to a semilinear elliptic problem at resonance.
El Amrouss, A.R. +2 more
core +1 more source
Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
International Economic Review, EarlyView.ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
wiley +1 more source
On the planar supercritical Kirchhoff problem
Bulletin of Mathematical SciencesIn this paper, we investigate the planar Kirchhoff problem with supercritical nonlinearity [Formula: see text], which behaviors as [Formula: see text] and [Formula: see text] with [Formula: see text], [Formula: see text].
Limin Zhang, Jiuyang Wei
doaj +1 more source
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised [PDF]
, 2021 Motivated by optimal control problems and differential games for functional differential equations of retarded type, the paper deals with a Cauchy problem for a path-dependent Hamilton–Jacobi equation with a right-end boundary condition.
Gomoyunov, M. I. +2 more
core +1 more source
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
International Statistical Review, EarlyView.Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
Advanced Engineering ResearchIntroduction. Problems and methods of finding Н∞ – control are the basis of modern control theory. They are actively used to develop robust controllers, especially in aircraft control systems under limited external actions.
A. V. Panteleev, A. A. Yakovleva
doaj +1 more source
Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
, 2006 This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the gap functions for two classes of generalized vector quasi-equilibrium problems are obtained.
Li, S. +7 more
core +1 more source