Sharp rates of convergence for accumulated spectrograms
نویسندگان
چکیده
منابع مشابه
Sharp Convergence Rates for Nonlinear Product Formulas
Nonlinear versions of the Lie-Trotter product formula exp[t(A + B)] = \im„^x[exp((t/n)A)exp((t/n)B)}" and related formulas are given in this paper. The convergence rates are optimal. The results are applicable to some nonlinear partial differential equations. 0. Introduction. The Lie-Trotter product formula states that (0.1) exp(^)exp(^)exp(^C e,(A + B+c) asn^oo. (The exponent n indicates itera...
متن کاملConvergence test for inversion of frequency-resolved optical gating spectrograms.
We describe a new and simple method to aid in the analysis of retrieved pulses from inverted frequency-resolved optical gating (FROG) traces. The analysis can separate noise from distortion and shows that distortion is more deleterious to the retrieved pulse than is pure noise. The analysis relies on the fact that FROG traces can be constructed from a single outer product of two vectors, wherea...
متن کاملAlmost Sure Convergence Rates for the Estimation of a Covariance Operator for Negatively Associated Samples
Let {Xn, n >= 1} be a strictly stationary sequence of negatively associated random variables, with common continuous and bounded distribution function F. In this paper, we consider the estimation of the two-dimensional distribution function of (X1,Xk+1) based on histogram type estimators as well as the estimation of the covariance function of the limit empirical process induced by the se...
متن کاملConvergence rates for linear
In this work, we examine a finite-dimensional linear inverse problem where the measurements are disturbed by an additive normal noise. The problem is solved both in the frequentist and in the Bayesian frameworks. Convergence of the used methods when the noise tends to zero is studied in the Ky Fan metric. The obtained convergence rate results and parameter choice rules are of a similar structur...
متن کاملConvergence Rates for Monte
This paper gives a brief overview of techniques developed recently for analyzing the rate of convergence to equilibrium in Markov chain Monte Carlo experiments. A number of applications in statistical physics are mentioned, and extensive references provided.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inverse Problems
سال: 2017
ISSN: 0266-5611,1361-6420
DOI: 10.1088/1361-6420/aa8d79