Multiresolution Families of Indistinguishability Operators

نویسنده

  • A. R. De Soto
چکیده

Multiresolution is a general mathematical concept that allows us to study a property by means of several changes of resolution. From a fixed resolution, a coarser projection can be calculated and then the changes between a finer resolution and a coarser one can be studied. That information can give a good knowledge about the problem under consideration. Also using multiresolution techniques it is possible to present information with a higher or a lower detail, given a way to get the adequate granularity or abstraction for a context. Author acknowledges the support of the Spanish Ministry for Economy and Innovation and the European Regional Development Fund (ERDF/FEDER) under grant TIN201129827-C02-02. Author acknowledges the support of the Spanish Ministry for Economy and Innovation Fund under grant TIN2009-07235.

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

Multiresolution Analysis and Fuzzy Indistinguishability Operators: a first approach

There exists a strong conceptual relation between Multiresolution Analysis, a theory mainly used in Wavelet Theory, and Indistinguishability Operators, a theory mainly used in Fuzzy Sets Theory. In this work a first approach to find a formal link between both theories is tried. It will be shown that, in some cases, a multiresolution analysis allows to build a family of Indistinguishability Oper...

متن کامل

Perfect-Reconstruction Filtering With Unitary Operators and Projections*

Perfect-reconstruction filter banks, wavelets, and multiresolution analysis have generated many new results in harmonic analysis and function theory. Traditionally, these techniques are based on families of convolutions and decimation/interpolation operations. When viewed as linear-algebraic operations, those building blocks can be generalized to unitary operators and related projections. We ha...

متن کامل

An Overview of Wavelet Based Multiresolution Analyses

In this paper we present an overview of wavelet based multiresolution analyses. First, we brie y discuss the continuous wavelet transform in its simplest form. Then, we give the de nition of a multiresolution analysis and show how wavelets t into it. We take a closer look at orthogonal, biorthogonal and semiorthogonal wavelets. The fast wavelet transform, wavelets on an interval, multidimension...

متن کامل

Growing decision trees in the presence of indistinguishability: observational decision trees

Keywords: decision tree, T-indistinguishability in order to incorporate such indistinguishability concerns. operators, observational entropy, uncertainty mea-The main idea is that the occurrence of two different events sures, machine learning. but indistinguishable by the indistinguishability relation defined, will count as the occurrence of the same event when measuring the observational entropy.

متن کامل

Indistinguishability Operators Applied to Task Allocation Problems in Multi-Agent Systems

In this paper we show an application of indistinguishability operators to model response functions. Such functions are used in the mathematical modeling of the task allocation problem in multi-agent systems when the stimulus, perceived by the agent, to perform a task is assessed by means of the response threshold model. In particular, we propose this kind of operators to represent a response fu...

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 2016