Self-averaging sequences which fail to converge
نویسندگان
چکیده
منابع مشابه
Underestimate Sequences via Quadratic Averaging
In this work we introduce the concept of an Underestimate Sequence (UES), which is a natural extension of Nesterov’s estimate sequence [16]. Our definition of a UES utilizes three sequences, one of which is a lower bound (or under-estimator) of the objective function. The question of how to construct an appropriate sequence of lower bounds is also addressed, and we present lower bounds for stro...
متن کاملSelf-Averaging Expectation Propagation
We investigate the problem of approximate Bayesian inference for a general class of observation models by means of the expectation propagation (EP) framework for large systems under some statistical assumptions. Our approach tries to overcome the numerical bottleneck of EP caused by the inversion of large matrices. Assuming that the measurement matrices are realizations of specific types of ens...
متن کاملWhich Training Methods for GANs do actually Converge?
Recent work has shown local convergence of GAN training for absolutely continuous data and generator distributions. In this note we show that the requirement of absolute continuity is necessary: we describe a simple yet prototypical counterexample showing that in the more realistic case of distributions that are not absolutely continuous, unregularized GAN training is generally not convergent. ...
متن کاملApplication of DTW Barycenter Averaging to Finding EEG Consensus Sequences
DTW Barycenter Averaging (DBA) has proven to be a useful tool for calculating consensus sequences, but it has not yet been applied to real electroencephalography (EEG) data. This study tests DBA on real EEG sequences using the modification proposed by Kotas et al. (2015), and proposes several further modifications to the initial sequence selection process to improve the method’s efficacy for EE...
متن کاملSets of Matrices All Infinite Products of Which Converge
An infinite product IIT= lMi of matrices converges (on the right) if limi __ M, . . . Mi exists. A set Z = (Ai: i > l} of n X n matrices is called an RCP set (rightconvergent product set) if all infinite products with each element drawn from Z converge. Such sets of matrices arise in constructing self-similar objects like von Koch’s snowflake curve, in various interpolation schemes, in construc...
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: Electronic Communications in Probability
سال: 2017
ISSN: 1083-589X
DOI: 10.1214/17-ecp48