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An exponential lower bound for Zadeh’s pivot rule
The question whether the Simplex Algorithm admits an efficient pivot rule remains one of the most important open questions in discrete optimization....
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An Exponential Nonuniform Berry–Esseen Bound for the Fractional Ornstein–Uhlenbeck Process
In this paper, we study the asymptotic properties of the maximum likelihood estimator of the drift parameter in the fractional Ornstein–Uhlenbeck...
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Maximum bound principle preserving linear schemes for nonlocal Allen–Cahn equation based on the stabilized exponential-SAV approach
The nonlocal Allen–Cahn equation with nonlocal diffusion operator is important for simulating a series of physical and biological phenomena involving...
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Bound state solutions and thermodynamic properties of modified exponential screened plus Yukawa potential
In this research paper, the approximate bound state solutions and thermodynamic properties of Schrӧdinger equation with modified exponential screened...
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Simple Proof of the Risk Bound for Denoising by Exponential Weights for Asymmetric Noise Distributions
AbstractIn this note, we consider the problem of aggregation of estimators in order to denoise a signal. The main contribution is a short proof of...
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A note on exponential polynomials
We investigate the zero sets of complex exponential polynomials in one variable with only one iteration. We characterize when such polynomials have...
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Tight Double Exponential Lower Bounds
The majority of established algorithms have polynomial, exponential, or factorial runtime complexities. Examples of problems that admit tight double...
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Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen–Cahn Type Equations
It is well-known that the Allen–Cahn equation not only satisfies the energy dissipation law but also possesses the maximum bound principle (MBP) in...
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An Explicit Exponential Integrator Based on Faber Polynomials and its Application to Seismic Wave Modeling
Exponential integrators have been applied successfully in several physics-related differential equations. However, their application in hyperbolic...
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Practical Exponential Stability of Two Dimensional Nonlinear Switched Positive Systems in the Roesser Model
This paper deals with the practical exponential stability of two-dimensional (2-D) nonlinear switched positive systems with impulse, disturbance and...
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Hierarchically hyperbolic groups and uniform exponential growth
We give several sufficient conditions for uniform exponential growth in the setting of virtually torsion-free hierarchically hyperbolic groups. For...
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Exponential decay of the solutions to nonlinear Schrödinger systems
We show that the components of finite energy solutions to general nonlinear Schrödinger systems have exponential decay at infinity. Our results apply...
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Exponential Dispersion Family
This chapter introduces and discusses the exponential family (EF) and the exponential dispersion family (EDF). The EF and the EDF are by far the most...
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Sub-exponentiality in Statistical Exponential Models
Improvements in the study of nonparametric maximal exponential models built on Orlicz spaces are proposed. By exploiting the notion of...
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On computing small variable disjunction branch-and-bound trees
This article investigates smallest branch-and-bound trees and their computation. We first revisit the notion of hiding sets to deduce lower bounds on...
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Approximation Properties of Vectorial Exponential Functions
This contribution is dedicated to the celebration of Rémi Abgrall’s accomplishments in Applied Mathematics and Scientific Computing during the...
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Practical Semiglobal Uniform Exponential Stability Of Nonlinear Nonautonomous Systems
We solve the following twofold problem: In the first part, we deduce Lyapunov sufficient conditions for the practical uniform exponential stability...
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The Exponential and Logarithmic Functions
An important class of nonlinear functions that is of particular interest in economics comprises the exponential and logarithmic functions. These...