Results 1  10
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331,501
Asymptotically Exact Spectral Estimates for Left Triangular Matrices
, 2000
"... For a family of n n left triangular matrices with binary entries we derive asymptotically exact (as n ! 1) representation for the complete eigenvalueseigenvectors problem. In particular we show that the dependence of all eigenvalues on n is asymptotically linear for large n. A similar result i ..."
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For a family of n n left triangular matrices with binary entries we derive asymptotically exact (as n ! 1) representation for the complete eigenvalueseigenvectors problem. In particular we show that the dependence of all eigenvalues on n is asymptotically linear for large n. A similar result
Asymptotically exact inference in conditional moment inequality models
, 2012
"... This paper derives the rate of convergence and asymptotic distribution for a class of KolmogorovSmirnov style test statistics for conditional moment inequality models for parameters on the boundary of the identified set under general conditions. In contrast to other moment inequality settings, the ..."
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Cited by 18 (0 self)
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This paper derives the rate of convergence and asymptotic distribution for a class of KolmogorovSmirnov style test statistics for conditional moment inequality models for parameters on the boundary of the identified set under general conditions. In contrast to other moment inequality settings
Asymptotically exact noisecorrupted speech likelihoods
 In Proc. InterSpeech, 2010
"... Model compensation techniques for noiserobust speech recognition approximate the corrupted speech distribution. This paper introduces a sampling method that, given speech and noise distributions and a mismatch function, in the limit calculates the corrupted speech likelihood exactly. Though it is t ..."
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Cited by 6 (5 self)
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Model compensation techniques for noiserobust speech recognition approximate the corrupted speech distribution. This paper introduces a sampling method that, given speech and noise distributions and a mismatch function, in the limit calculates the corrupted speech likelihood exactly. Though
Asymptotically Exact Denoising in Relation to Compressed Sensing
"... We consider the denoising problem where we wish to estimate a structured signal x0 from corrupted observations y = x0 + z. Typical structures include sparsity, block sparsity and low rankness. We use a structure inducing convex function f and solve minx 1 2 ‖y−x‖22 +λf(x) to estimate x0. For example ..."
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Cited by 2 (0 self)
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We consider the denoising problem where we wish to estimate a structured signal x0 from corrupted observations y = x0 + z. Typical structures include sparsity, block sparsity and low rankness. We use a structure inducing convex function f and solve minx 1 2 ‖y−x‖22 +λf(x) to estimate x0. For example, f(·) is the `1 norm for sparse vectors, `1 − `2 norm for blocksparse signals and it is the nuclear norm for low rank matrices. When the noise vector z is i.i.d. Gaussian, we show that the normalized estimation error (MSE) of the optimally tuned problem coincides with the compressed sensing phase transitions, i.e., the number ∆f (x0) so that one needs m> ∆f (x0) compressed observations Ax0 ∈ Rm to recover x0 by solving minAx=Ax0 f(x). ∆f (x0) can be given as an explicit formula based on the subdifferential of f(·) at x0. We then connect our results to the generalized LASSO problem in which we have m noisy compressed observations y = Ax0 + z ∈ Rm and solve minf(x)≤f(x0) ‖y−Ax‖22. We show that, certain properties of
Globally Stable OutputFeedback Sliding Mode Control with Asymptotic Exact Tracking
 in American Control Conference
, 2004
"... Abstract — An outputfeedback sliding mode controller is proposed for uncertain plants with relative degree higher than one in order to achieve asymptotic exact tracking of a reference model. To compensate the relative degree, a lead filter scheme is proposed such that global stability and asymptoti ..."
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Cited by 3 (3 self)
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Abstract — An outputfeedback sliding mode controller is proposed for uncertain plants with relative degree higher than one in order to achieve asymptotic exact tracking of a reference model. To compensate the relative degree, a lead filter scheme is proposed such that global stability
Asymptotically exact minimax estimation in supnorm for anisotropic Hölder classes
 Bernoulli
"... We consider the Gaussian White Noise Model and we study the estimation of a function f in the uniform norm assuming that f belongs to a Hölder anisotropic class. We give the minimax rate of convergence over this class and we determine the minimax exact constant and an asymptotically exact estimator. ..."
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Cited by 9 (1 self)
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We consider the Gaussian White Noise Model and we study the estimation of a function f in the uniform norm assuming that f belongs to a Hölder anisotropic class. We give the minimax rate of convergence over this class and we determine the minimax exact constant and an asymptotically exact estimator.
1 Asymptotically exact spectral estimates for left triangular matrices
, 2000
"... For a family of n ∗ n left triangular matrices with binary entries we derive asymptotically exact (as n → ∞) representation for the complete eigenvalueseigenvectors problem. In particular we show that the dependence of all eigenvalues on n is asymptotically linear for large n. A similar result is o ..."
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For a family of n ∗ n left triangular matrices with binary entries we derive asymptotically exact (as n → ∞) representation for the complete eigenvalueseigenvectors problem. In particular we show that the dependence of all eigenvalues on n is asymptotically linear for large n. A similar result
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
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Cited by 545 (60 self)
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We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particular realization of the N = 2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira– Spencer theory, which may be viewed as the closed string analog of the Chern–Simon theory. Using the mirror map this leads to computation of the ‘number ’ of holomorphic curves of higher genus curves in Calabi–Yau manifolds. It is shown that topological amplitudes can also be reinterpreted as computing corrections to superpotential terms appearing in the effective 4d theory resulting from compactification of standard 10d superstrings on the corresponding N = 2 theory. Relations with c = 1 strings are also pointed out.
Results 1  10
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331,501