Recursive Interferometric Representations

نویسنده

  • Stéphane Mallat
چکیده

Classification requires building invariant representations relatively to groups of deformations that preserve signal classes. Recursive interferometry computes invariants with a cascade of complex wavelet transforms and modulus operators. The resulting representation is stable relatively to elastic deformations and provides invariant representations of stationary processes. It maps signals to a manifold which preserves signal discriminability.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Recursive Representations for the Favard Constants with Application to the Summation of Series

In this study integral form and new recursive formulas for Favard constants and some connected with them numeric and Fourier series are obtained. The method is based on preliminary integration of Fourier series which allows for establishing finite recursive representations for the summation. It is shown that the derived recursive representations are numerically more effective than known represe...

متن کامل

Representation and Recursion in the Archaeological Record

Living humans are unique among the animal kingdom with respect to their ability to externalize mental representations outside the brain through a variety of media and in a recursive or creative manner (i.e., generating a potentially infinite array of combinations). Earlier humans evolved two specialized organs—the hand and the vocal tract—as primary instruments for externalizing artificial or s...

متن کامل

Telescoping Recursive Representations and Estimation of Gauss-Markov Random Fields

We present telescoping recursive representations for both continuous and discrete indexed noncausal Gauss-Markov random fields. Our recursions start at the boundary (for example, a hypersurface in R, d ≥ 1) and telescope inwards. Under appropriate conditions, the recursions for the random field are differential/difference representations driven by white noise, for which we can use standard recu...

متن کامل

Recursive Estimation of Gauss-Markov Random Fields Indexed over 1-D Space

This paper presents optimal recursive estimators for vector valued Gauss-Markov random fields taking values in R and indexed by (intervals of) R or Z. These 1-D fields are often called reciprocal processes. They correspond to two point boundary value fields, i.e., they have boundary conditions given at the end points of the indexing interval. To obtain the recursive estimators, we derive two cl...

متن کامل

Paraphrase Detection Using Recursive Autoencoder

In this paper, we tackle the paraphrase detection task. We present a novel recursive autoencoder architecture that learns representations of phrases in an unsupervised way. Using these representations, we are able to extract features for classification algorithms that allow us to outperform many results from previous works.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010