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Adaptive Sensing Performance Lower Bounds for Sparse Signal Estimation and Testing
adaptive sensing minimax lower bounds sequential experimental design sparsity-based models
2012/6/19
This paper gives a precise characterization of the fundamental limits of adaptive sensing for diverse estimation and testing problems concerning sparse signals. We consider in particular the setting i...
Lower Bounds on the Performance of Analog to Digital Converters
Lower Bounds Performance Analog Digital Converters
2012/4/16
This paper deals with the task of finding certified lower bounds for the performance of Analog to Digital Converters (ADCs). A general ADC is modeled as a causal, discrete-time dynamical system with o...
Estimations of Lower Bounds of A Probability Minimization Problem
Probability optimization problem Lower bound estimation Binary random variable Random normal vector.
2011/11/13
This article considers the problem of \min_{\xi}\vec{Pr}(\vert \xi^Tx\vert\leq \alpha)\quad s.t.\quad \Vert\xi\Vert_2=1. We first concentrate on the case that x_i,i=1,\cdots,n are binary random variab...
Lower bounds for finiteness of generalized local cohomology modules and their associated primes
Generalized local cohomology modules associatted prime Serre subcategories
2011/9/20
Abstract: Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, $M$ a finite $R$--module and $X$ an arbitrary $R$--module. In this paper, we study relations between f...
Lower bounds for sumsets of multisets in Z_p^2
Lower bounds sumsets of multisets Number Theory
2011/9/19
Abstract: The classical Cauchy-Davenport theorem implies the lower bound n+1 for the number of distinct subsums that can be formed from a sequence of n elements of the cyclic group Z_p (when p is prim...
Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch
Lower bounds volumes of nodal sets Sogge-Zelditch
2011/8/22
Abstract: We use the Dong-Sogge-Zelditch formula to obtain a lower bound for the volume of the nodal sets of eigenfunctions. Our result improves the recent results of Sogge-Zelditch and in dimensions ...
Lower Bounds for the Determinantal Complexity of Explicit Low Degree Polynomials
Computational complexity Arithmetic circuits Determinant versus permanent Elementary symmetric polynomial
2012/12/3
The determinantal complexity of a polynomial f (x1, x2, . . . , xn) is the minimum m such that f = detm(L(x1, x2, . . . , xn)), where L(x1, x2, . . . , xn) is a matrix whose entries are affine forms i...
Improved Lower Bounds for Ginzburg-Landau Energies via Mass Displacement
Ginzburg-Landau Energies Mass Displacement
2010/11/24
We prove some improved estimates for the Ginzburg-Landau energy (with or without magnetic field) in two dimensions, relating the asymptotic energy of an arbitrary configuration to its vortices and th...
Lower bounds on the Hausdorff measure of nodal sets
Lower bounds Hausdorff measure of nodal sets
2010/12/8
Let N' be the nodal hypersurface of a -eigenfunction ' of eigenvalue 2on a smooth Riemannian manifold. We prove that Hn−1(N') ≥ C7 4− 3n 4 on the surface measure of its nodal set. Th...
Let M be a smooth closed Riemannian manifold and the Laplace operator. A function u is said to be an eigenfunction with eigenvalue if u = − u .
Corrigendum on the paper: 'Lower Bounds for the Infimum of the Spectrum of the Schr鮠inger Operator in \mathbb{R}^N and the Sobolev Inequalities' published in JIPAM, vol. 3, no. 4. (2002), Article 63
Optimal lower bound infimum spectrum Schrõ dinger operator Sobolev inequality
2008/7/2
This paper is a corrigendum on a paper published in an earlier volume of JIPAM, 'Lower Bounds for the Infimum of the Spectrum of the Schrodinger Operator in and the Sobolev Inequalities' published in...
Entropy Lower Bounds Related to a Problem of Universal Coding and Prediction
Entropy Index of coincidence Rényi entropy Measure of roughness Universal coding Universal prediction
2008/7/1
Second order lower bounds for the entropy function expressed in terms of the index of coincidence are derived. Equivalently, these bounds involve entropy and Rényi entropy of order 2. The constants fo...
Lower Bounds for Eigenvalues of Schatten-Von Neumann Operators
Schatten-von Neumann ideals Inequalities for eigenvalues
2008/7/1
Lower Bounds for Eigenvalues of Schatten-Von Neumann Operators.
Lower Bounds for the Infimum of the Spectrum of the Schrödinger Operator in $\mathbb{R}^n$ and the Sobolev Inequalities
Optimal lower bound Infimum spectrum Schrö dinger operator Sobolev inequality
2008/7/1
Lower Bounds for the Infimum of the Spectrum of the Schrödinger Operator in $\mathbb{R}^n$ and the Sobolev Inequalities.
Correlation coefficient, Bessis-Moussa-Villani conjecture, Robust portfolio.