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Fast Solution of `1-norm Minimization Problems When the Solution May be Sparse
LASSO. LARS Homotopy Methods Basis Pursuit.
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2015/8/21
The minimum `1-norm solution to an underdetermined system of linear equations y = Ax,
is often, remarkably, also the sparsest solution to that system. This sparsity-seeking property
is of interest i...
Mathematics of the total alkalinity–pH equation – pathway to robust and universal solution algorithms: the SolveSAPHE package v1.0.1
the total alkalinity–pH equation pathway to robust
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2014/12/12
The total alkalinity–pH equation, which relates total alkalinity and pH for a given set of total concentrations
of the acid–base systems that contribute to total alkalinity
in a given water sample, ...
Constructing a Model Transport Equation for a Massless Bose Gas and its Analytic Solution
massless Bose gas boundary value problem
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2011/1/21
A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value prob-lem for the transport of radiation in the half-space o...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
$D_N$ type quantum Calogero model through free harmonic oscillators
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2011/3/3
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
A note on Exact solution of SIR and SIS epidemic models
SIR and SIS Epidemiology Exact Solution
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2011/2/25
In this article we have successfully obtained an exact solution of a particular case of SIR and SIS epidemic models given by Kermack and Mckendrick [1] for constant population, which are described by ...
Stability of the solution to inverse obstacle scattering problem
inverse obstacle scattering problem math
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2010/11/1
It is proved that if the scattering amplitudes at a fixed wavenumber for two obstacles from a certain large class of obstacles differ a little, than the obstacles differ a little. Error estimate is g...
Stochastic viscosity solution for stochastic PDIEs with nonlinear Neumann boundary condition
Stochastic viscosity solution stochastic PDIEs
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2010/11/19
This paper is an attempt to extend the notion of viscosity solution to nonlinear stochastic partial differential integral equations with nonlinear Neumann boundary condition. Using the recently devel...
On the Saddle-point Solution and the Large-Coalition Behavior of Fingerprinting Games
the Saddle-point Solution the Large-Coalition Behavior Fingerprinting Games
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2010/11/11
We study a fingerprinting game in which the number of colluders and the collusion channel are unknown. The encoder embeds fingerprints into a host sequence and provides the decoder with the capability...
On the solution of a quadratic vector equation arising in Markovian Binary Trees
quadratic vector equation arising Markovian Binary Trees
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2010/11/11
We present some advances, both from a theoretical and from a computational point of view, on a quadratic vector equation (QVE) arising in Markovian Binary Trees. Concerning the theoretical advances, ...
The Radial-Hedgehog Solution in Landau--de Gennes' theory
Radial-Hedgehog Solution Landau--de Gennes' theory
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2010/12/10
We study the radial-hedgehog solution in a three-dimensional spherical droplet, with homeotropic boundary conditions, within the Landau-de Gennes theory for nematic liquid crystals. The radial-hedgeho...
On representation of the P-Q pair solution at the singular point neighborhood
the P-Q pair solution singular point
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2010/11/1
The compatible expansion in series of solutions of both the equations of P-Q pair at neighborhood of the singular point is obtained in closed form for regular and irregular singularities. The conserva...
Gravitational Solitons and Monodromy Transform Approach to Solution of Integrable Reductions of Einstein Equations
Gravitational Solitons Monodromy Transform Solution
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2010/11/2
In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of isometries are consider...