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Distributed Bayesian Machine Learning Procedures
In this paper, we consider Bernoulli and multinomial variations of Bayesian machine learning procedures, as well as their distributed implementations...
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A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein–Uhlenbeck Process on the Washout Rate
In this paper, a stochastic non-autonomous chemostat model with mean-reverting Ornstein–Uhlenbeck process is constructed and analyzed, and we...
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Heat Convection in a Rotating Pipe
AbstractWe study an unsteady-state boundary value problem on the motion of a fluid in a rotating cylindrical pipe. The Oberbeck–Boussinesq equations...
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eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI
Abstract—The size and complexity of deep neural networks used in AI applications continue to grow exponentially, significantly increasing energy...
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On the decay of a porous thermoelastic system with microtemperature
In this paper we are concerned with a porous thermoelastic system with microtemperature. We prove a well posedness result by the use of Hille-Yosida...
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Optimization by Monte Carlo Methods
One category of global optimization problems is complicated by being combinatorial in nature, another is by having a large number of local optima....
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Stabilization of non-homogeneous viscoelastic waves coupled with heat conduction due to Cattaneo-Vernotte
We study the stabilization of non-homogeneous viscoelastic waves for the vibrations of a flexible structure with thermodiffusion effect and a...
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Electro-Catalysis for H \(_2\) O Oxidation and Chlorine Evolution
Electrocalaysts facilitate the transformation of renewable electrical energy into chemical feedstocks and fuels. However, our limited understanding...
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Exponential and polynomial decay for a laminated beam with Fourier’s law of heat conduction and possible absence of structural dam**
We study the well-posedness and decay properties of a one-dimensional thermoelastic laminated beam system either with or without structural dam**,...
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Compensator Design Via the Separation Principle for a Class of Semilinear Evolution Equations
We establish a compensator design via the separation principle in the practical sense for a class of semi-linear evolution equations in Hilbert...
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A novel approach to stability analysis of a wide class of irrational linear systems
This paper presents a general methodology for finding stability equivalence regions, of a wide class of linear time-invariant systems with irrational...
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Stability of Transmission Wave-Plate Equations with Local Indirect Dam**
This paper is devoted to the energy decay estimates for the coupled wave-plate system with local frictional dam** in a bounded domain. The...
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Modeling in Biology
This chapter presents the most fundamental concepts of mathematical modeling. There is an initial section that introduces parameters, followed by a...
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On Large Deviation Principles and the Monge–Ampère Equation (Following Berman, Hultgren)
This is mostly an exposition, aimed to be accessible to geometers, analysts, and probabilists, of a fundamental recent theorem of R. Berman with...
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Numerical Investigation of Flow Dynamics of Williamson Fluid over an Expanding Cylinder/Plate in Presence of Homogeneous/Heterogeneous Reactions
The current research delves into exploring the effects of several factors, including reactions (homogeneous/heterogeneous), internal heat phenomena,...
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On metastability
Consider finite state space irreducible and absorbing Markov processes. A general spectral criterion is provided for the absorbing time to be close...
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Mixing for the primitive equations under bounded non-degenerate noise
We study the stochastic 3D primitive equations of the atmospheric mechanics. We consider them under a bounded and non-degenerate noise, which is...
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Model Predictive Control for the Internet of Things
In this chapter, we argue that model predictive control (MPC) can be a very powerful technique to mitigate some of the challenges that arise when...
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Uniform Decay for Thermoelastic Diffusion Problem of Type III with Delays
In this article, we consider a thermoelastic diffusion problem of type III in one space dimension with boundary constant delays. First we prove that...
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Effects of Thermal and Lévy Noise Sources on the Switching Current Distributions of a Josephson Junction
We discuss the combined effect of Gaussian and \(\alpha \)...