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ASYMPTOTIC EQUIVALENCE OF SPECTRAL DENSITY ESTIMATION AND GAUSSIAN WHITE NOISE
ASYMPTOTIC EQUIVALENCE SPECTRAL DENSITY ESTIMATION GAUSSIAN WHITE NOISE
2015/8/25
We consider the statistical experiment given by a sample y(1), . . . , y(n) of a stationary Gaussian process with an unknown smooth spectral density f . Asymptotic equivalence, in the sense of Le Cam’...
THE CHERNOFF LOWER BOUND FOR SYMMETRIC QUANTUM HYPOTHESIS TESTING
CHERNOFF LOWER BOUND SYMMETRIC QUANTUM HYPOTHESIS TESTING
2015/8/25
We consider symmetric hypothesis testing in quantum statistics, where the hypotheses are density operators on a finite-dimensional complex Hilbert space, representing states of a finite quantum system...
Asymptotic Error Rates in Quantum Hypothesis Testing
Asymptotic Error Rates Quantum Hypothesis Testing
2015/8/25
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic expone...
The groupoidal analogue Theta~ to Joyal's category Theta is a test category
1-category 1-groupoid cellular category décalage
2011/2/23
We introduce the groupoidal analogue e to Joyal’s cellular category and we prove that e is a strict test category in the sense of Grothendieck.
On tight Euclidean $6$-designs: an experimental result
Euclidean designs spherical designs tight designs distance sets
2011/1/19
A finite set X n with a weight function w : X 0 is called Euclidean t-design in n (supported by p concentric spheres) if the following condition ho...
Recent lab experiments by Traulsen et al. [1] for the spatial pris-oner’s dilemma suggest that exploratory behavior of human subjects prevents cooperation through neighborhood interactions over exper-...
Completeness of the Bethe ansatz on Weyl alcoves
Bethe ansatz root systems spectral analysis reflection groups
2010/12/10
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result ...
New bounds on the maximum ionization of atoms
maximum ionization Pauli operator magnetic field relativistic atoms
2010/12/6
We prove that the maximum number Nc of non-relativistic electrons that a nucleus of charge Z can bind is less than 1.22Z + 3Z1/3. This improves Lieb’s upper bound Nc < 2Z + 1 [Phys. Rev. A 29, 3018-30...
When can several people simulate a private random oracle for someone else?
private random oracle
2010/12/16
Many models of secure multiparty computation supply each participant with a private random oracle [Yao82,Sha79,GMW87,Csi08]. If one participant does not have access to a private random oracle, perhaps...
Characterizations of transversal and fundamental transversal matroids
Matroid transversal matroid fundamental transversal matroid
2010/12/8
A result of Mason, as refined by Ingleton, characterizes transversal matroids as the matroids that satisfy a set of inequalities that relate the ranks of intersections and unions of nonempty sets of c...
Local Quasiconvexity of Groups acting on Small Cancellation Complexes
Local quasiconvexity Coherence Small-cancellation Relative hyperbolicity
2010/12/8
Given a group acting cellularly and cocompactly on a simply-connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalize...
Challenging the empirical mean and empirical variance: a deviation study
Non-parametric estimation M-estimators PAC-Bayes bounds
2010/12/3
We present new M-estimators of the mean and variance of real valued random variables, based on PAC-Bayes bounds. We analyze the non-asymptotic minimax properties of the deviations of those estimators ...
Performance Bounds and Design Criteria for Estimating Finite Rate of Innovation Signals
Terms—Finite rate of innovation Sampling
2010/12/3
In this paper, we consider the problem of estimating finite rate of innovation (FRI) signals from noisy measurements,and specifically analyze the interaction between FRI techniques
and the underlying...
Functional Bethe ansatz methods for the open XXX chain
Functional Bethe ansatz methods open XXX chain
2010/12/15
We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional eq...
Minimal models, formality and hard Lefschetz properties of solvmanifolds with local systems
solvmanifold Sullivan’s minimal model formality Hard Lefschetz property
2010/12/3
For a simply connected solvable Lie group G with a cocompact discrete subgroup , we consider the space of differential forms on the solvmanifold G/with values in certain flat bundl...