منابع مشابه
EcoICA: Skewness-based ICA via Eigenvectors of Cumulant Operator
Independent component analysis (ICA) is an important unsupervised learning method. Most popular ICAmethods use kurtosis as a metric of non-Gaussianity to maximize, such as FastICA and JADE. However, their assumption of kurtosic sources may not always be satisfied in practice. For weak-kurtosic but skewed sources, kurtosis-based methods could fail while skewness-based methods seem more promising...
متن کاملTopological persistence of the normalized eigenvectors of a perturbed self-adjoint operator
Let T be a selfadjoint bounded operator acting in a real Hilbert space H, and denote by S the unit sphere of H. Assume that λ0 is an isolated eigenvalue of T of odd multiplicity greater than 1. Given an arbitrary operator B :H → H of class C1, we prove that for any ε 6= 0 sufficiently small there exists xε ∈ S and λε near λ0, such that Txε + εB(xε) = λεxε. This result was conjectured, but not p...
متن کاملExtreme Value Based Adaptive Operator Selection
Credit Assignment is an important ingredient of several proposals that have been made for Adaptive Operator Selection. Instead of the average fitness improvement of newborn offspring, this paper proposes to use some empirical order statistics of those improvements, arguing that rare but highly beneficial jumps matter as much or more than frequent but small improvements. An extreme value based C...
متن کاملTopological Persistence of the Normalized Eigenvectors of a Perturbed Linear Operator
Let T be a selfadjoint bounded operator acting in a real Hilbert space H, and denote by S the unit sphere of H. Assume that λ0 is an isolated eigenvalue of T of odd multiplicity greater than 1. Given an arbitrary operator B :H → H of class C1, we prove that for any ε 6= 0 sufficiently small there exists xε ∈ S and λε near λ0, such that Txε + εB(xε) = λεxε. This result was conjectured, but not p...
متن کاملEigenvectors of a raman medium
We show the existence of discrete sets of Raman sidebands which self-consistently establish a Raman coherence and propagate without change in amplitude and relative phase. Equivalently, there exist periodic femtosecond-time-scale, temporal pulse shapes which propagate without change in shape.
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: Proceedings of the American Mathematical Society
سال: 1967
ISSN: 0002-9939
DOI: 10.2307/2035238