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BROADBAND SENSOR LOCATION SELECTION USING CONVEX OPTIMIZATION IN VERY LARGE SCALE ARRAYS
array processing multi-frequency beam pattern design sensor location selection very large scale arrays convex optimization simulated annealing
2015/9/29
Consider a sensing system using a large number of N microphones placed in multiple dimensions to monitor a broadband acoustic field. Using all the microphones at once is impractical because of the amo...
Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom
fast diffusion non-convex Hamiltonians two degrees of freedom
2015/9/25
In this paper, we study small perturbations of a class of non-convex integrable Hamiltonians with two degrees offreedom, and we prove a result of diffusion for an open and dense set of perturbations, ...
SLOPE – Adaptive Variable Selection via Convex Optimization
Sparse regression variable selection false discovery rate lasso sorted `1 penalized estimation (SLOPE)
2015/6/17
We introduce a new estimator for the vector of coefficients β in the linear model y = Xβ +z, where X has dimensions n × p with p possibly larger than n. SLOPE, short for Sorted L-One Penalized Estimat...
Closed characteristics on compact convex hypersurfaces in R8
Closed characteristics compact convex hypersurfaces R8
2015/3/18
Closed characteristics on compact convex hypersurfaces in R8.
Lambert’s theorem, convex optimization, and minimizing solutions of the n-body problems
Lambert’s theorem convex optimization minimizing solutions n-body problems
2015/3/18
Lambert’s theorem, convex optimization, and minimizing solutions of the n-body problems.
A new method to find the eigenvalues of convex matrices with application in web page rating
Eigenvalue Google matrix convex matrices PageRank
2010/9/21
Although many factors determine Google's overall ranking of search engine results, Google maintains that the heart of its search engine software is PageRank, the eigenvector corresponds to the maximal...
The convex real projective manifolds and orbifolds with radial ends I: the openness of deformations
The convex real projective manifolds orbifolds radial ends I
2010/11/11
A real projective orbifold is an $n$-dimensional orbifold modeled on $RP^n$ with groups $\PGL(n+1, \bR)$. We concentrate on orbifolds with a compact codimension $0$ submanifold whose complement is a u...
A subclass of quasi-convex functions with respect to symmetric points
convex with respect to symmetric points quasi-convex with respect to symmetric points coefficient estimates
2010/9/10
A subclass of quasi-convex functions with respect to symmetric points.
An explicit iteration method for convex feasibility problems in Hilbert spaces
Monotone operators Lipschitz continuous Tikhonov regularization
2010/9/10
The purpose of this note is to present an explicit iteration method that converges strongly for solving convex feasibility problems in Hilbert spaces.
Some geometrical results about the convex deficiency of a compact set
convex deficiency visibility
2010/9/10
The convex deficiency has been recently used to characterize the convex kernel of a set. This kind of result, central for Visibility Theory, suggests to study the convex deficiency in terms of some Vi...
A global optimization method for minimizing a product of two positive convex functions
Global optimization multiplicative programming convex multiplicative programming
2010/9/13
This paper presents a new algorithm for minimizing a product of two positive convex functions. The given problem is firstly converted to an equivalent quasi-concave minimization problem in the outcom...
A New Subclass of $k$-Uniformly Convex Functions with Negative Coefficients
Analytic functions Univalent functions Coefficient inequalities and coefficient estimates Starlike functions Convex functions Close-to-convex functions $k$-Uniformly convex functions $k$-Uniformly starlike functions Uniformly starlike functions Hadamard product (or convolution) Extreme points Radii of close-to-convexity starlikeness and convexity Integral operators
2008/7/3
A New Subclass of $k$-Uniformly Convex Functions with Negative Coefficients.
A New Subclass of Uniformly Convex Functions and a Corresponding Subclass of Starlike Functions with Fixed Second Coefficient
Univalent Convex Starlike Uniformly convex Uniformly starlike Linear operator
2008/7/3
Making use of Linear operator theory, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients. The main object of this pape...
A New Type of Stable Generalized Convex Functions
Generalized convexity $s$-quasiconvex function Stability
2008/7/3
S-quasiconvex functions (Phu and An, Optimization, Vol. 38, 1996) are stable with respect to the properties: "every lower level set is convex", "each local minimizer is a global minimizer", and "each ...
A Characterization of $\lambda$-convex Functions
$lambda$-convexity Generalized 2nd-order derivative
2008/7/3
The main result of this paper shows that -convex functions can be characterized in terms of a lower second-order generalized derivative.