Results 31 to 40 of about 15,280 (155)

On the existence of solutions to adversarial training in multiclass classification

European Journal of Applied Mathematics
Adversarial 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, Matt Jacobs, Jakwang Kim   +2 more
doaj   +1 more source

Efficient Gluing of Numerical Continuation and a Multiple Solution Method for Elliptic PDEs

, 2014
Numerical continuation calculations for ordinary differential equations (ODEs) are, by now, an established tool for bifurcation analysis in dynamical systems theory as well as across almost all natural and engineering sciences. Although several excellent
Kuehn, Christian
core   +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

On the planar supercritical Kirchhoff problem

Bulletin of Mathematical Sciences
In 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

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, Junpei Komiyama, Shunya Noda   +2 more
wiley   +1 more source

Existence of two nontrivial solutions for semilinear elliptic problems

Electronic Journal of Differential Equations, 2006
This paper concerns the existence of multiple nontrivial solutions for some nonlinear problems. The first nontrivial solution is found using a minimax method, and the second by computing the Leray-Schauder index and the critical group near 0.
Abdel R. El Amrouss, Fouzia Moradi, Mimoun Moussaoui   +2 more
doaj  

Approximate Synthesis of Н_∞ – Controllers in Nonlinear Dynamic Systems over a Semi-Infinite Time Period

Advanced Engineering Research
Introduction. 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

Nonlocal problems at critical growth in contractible domains

, 2015
We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.Comment: 17 ...
Mosconi, Sunra, Shioji, Naoki, Squassina, Marco   +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, Bernardo Nipoti, Emilio Porcu, Philip White   +3 more
wiley   +1 more source

Adaptive Estimation for Weakly Dependent Functional Times Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro, Valentin Patilea, Myriam Vimond   +2 more
wiley   +1 more source