Results 271 to 280 of about 807,538 (297)

Generalized drift analysis in continuous domain: linear convergence of (1 + 1)-ES on strongly convex functions with Lipschitz continuous gradients

Foundations of Genetic Algorithms, 2019
We prove the linear convergence of the (1 + 1)-Evolution Strategy (ES) with a success based step-size adaptation on a broad class of functions, including strongly convex functions with Lipschitz continuous gradients, which is often assumed to analyze ...
Daiki Morinaga, Youhei Akimoto
semanticscholar   +1 more source

On the Approximation by $\phi$-Strongly Convex Functions

Real Analysis Exchange
The work provides a sandwich type statement for approximating real functions by \(\Phi\)-strongly modulus \(c\) convex functions and some related results, in particular a counterexample showing that similar results do not exist for other types of functions.
Bahos-Orjuela, Cesar M., Herrera-Cruz, Briyith L., Ramos-Fernández, Julio C.   +2 more
openaire   +2 more sources

Linear Convergence of Consensus-Based Quantized Optimization for Smooth and Strongly Convex Cost Functions

IEEE Transactions on Automatic Control, 2021
This article proposes a distributed optimization method for minimizing the sum of smooth and strongly convex functions with a finite communication bandwidth.
Y. Kajiyama, N. Hayashi, S. Takai
semanticscholar   +1 more source

Numerical Optimisation of Time-Varying Strongly Convex Functions Subject to Time-Varying Constraints

IEEE Conference on Decision and Control, 2018
This paper analyses the performance of projected gradient descent on optimisation problems with cost functions and constraints that vary in discrete time.
Daniel D. Selvaratnam, I. Shames, J. Manton, Mohammad Zamani   +3 more
semanticscholar   +1 more source

Linearly convergent away-step conditional gradient for non-strongly convex functions

Mathematical programming, 2015
We consider the problem of minimizing the sum of a linear function and a composition of a strongly convex function with a linear transformation over a compact polyhedral set.
A. Beck, Shimrit Shtern
semanticscholar   +1 more source

Relative Strongly Exponentially Convex Functions

2020
In this paper, we define and consider some new concepts of the strongly exponentially convex functions involving an arbitrary negative bifunction. Some properties of these strongly exponentially convex functions are investigated under suitable conditions.
Muhammad Aslam Noor, Khalida Inayat Noor, Themistocles M. Rassias   +2 more
openaire   +1 more source

On the quadratic support of strongly convex functions

2015
In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.
Abbaszadeh, S., Eshaghi Gordji, M
openaire   +1 more source

On Strongly Convex Functions and Related Classes of Functions

2014
Many results on strongly convex functions and related classes of functions obtained in the last few years are collected in the paper. In particular, Jensen, Hermite–Hadamard- and Fejer-type inequalities for strongly convex functions are presented. Counterparts of the classical Bernstain–Doetsch and Sierpinski theorems for strongly midconvex functions ...
openaire   +1 more source

Adequate Criteria for Strongly Starlikeness and Strongly Convexity of Functions

PROOF
T The purpose of this paper is to investigate adequate criteria that ensure the reciprocal of analytic functions to be both strongly starlike and strongly convex within the open unit disk U. Our study leads to the discovery of novel findings.
openaire   +1 more source

The Fastest Known Globally Convergent First-Order Method for Minimizing Strongly Convex Functions

IEEE Control Systems Letters, 2018
Bryan Van Scoy, R. Freeman, K. Lynch
semanticscholar   +1 more source