How Long to Read Representation Discovery using Harmonic Analysis

By Sridhar López

How Long Does it Take to Read Representation Discovery using Harmonic Analysis?

It takes the average reader 2 hours and 31 minutes to read Representation Discovery using Harmonic Analysis by Sridhar López

Assuming a reading speed of 250 words per minute. Learn more

Description

Representations are at the heart of artificial intelligence (AI). This book is devoted to the problem of representation discovery: how can an intelligent system construct representations from its experience? Representation discovery re-parameterizes the state space - prior to the application of information retrieval, machine learning, or optimization techniques - facilitating later inference processes by constructing new task-specific bases adapted to the state space geometry. This book presents a general approach to representation discovery using the framework of harmonic analysis, in particular Fourier and wavelet analysis. Biometric compression methods, the compact disc, the computerized axial tomography (CAT) scanner in medicine, JPEG compression, and spectral analysis of time-series data are among the many applications of classical Fourier and wavelet analysis. A central goal of this book is to show that these analytical tools can be generalized from their usual setting in (infinite-dimensional) Euclidean spaces to discrete (finite-dimensional) spaces typically studied in many subfields of AI. Generalizing harmonic analysis to discrete spaces poses many challenges: a discrete representation of the space must be adaptively acquired; basis functions are not pre-defined, but rather must be constructed. Algorithms for efficiently computing and representing bases require dealing with the curse of dimensionality. However, the benefits can outweigh the costs, since the extracted basis functions outperform parametric bases as they often reflect the irregular shape of a particular state space. Case studies from computer graphics, information retrieval, machine learning, and state space planning are used to illustrate the benefits of the proposed framework, and the challenges that remain to be addressed. Representation discovery is an actively developing field, and the author hopes this book will encourage other researchers to explore this exciting area of research. Table of Contents: Overview / Vector Spaces / Fourier Bases on Graphs / Multiscale Bases on Graphs / Scaling to Large Spaces / Case Study: State-Space Planning / Case Study: Computer Graphics / Case Study: Natural Language / Future Directions

How long is Representation Discovery using Harmonic Analysis?

Representation Discovery using Harmonic Analysis by Sridhar López is 147 pages long, and a total of 37,779 words.

This makes it 50% the length of the average book. It also has 46% more words than the average book.

How Long Does it Take to Read Representation Discovery using Harmonic Analysis Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 26 minutes to read Representation Discovery using Harmonic Analysis aloud.

What Reading Level is Representation Discovery using Harmonic Analysis?

Representation Discovery using Harmonic Analysis is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Representation Discovery using Harmonic Analysis?

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