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Mathematics > Numerical Analysis

arXiv:math/0212400 (math)
[Submitted on 1 Dec 2002]

Title:Pattern theory: the mathematics of perception

Authors:David Mumford
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    Abstract: Is there a mathematical theory underlying intelligence?
    Control theory addresses the output side, motor control, but the
    work of the last 30 years has made clear that perception is a
    matter of Bayesian statistical inference, based on stochastic
    models of the signals delivered by our senses and the structures
    in the world producing them. We will start by sketching the
    simplest such model, the hidden Markov model for speech, and then
    go on illustrate the complications, mathematical issues and
    challenges that this has led to.

Subjects:          Numerical Analysis (math.NA); Statistics Theory
                   (math.ST)
MSC classes:       60K35, 82B43
Report number:     ICM-2002
Cite as:           arXiv:math/0212400 [math.NA]
                   (or arXiv:math/0212400v1 [math.NA] for this
                   version)
                   https://doi.org/10.48550/arXiv.math/0212400
                   Focus to learn more
                   arXiv-issued DOI via DataCite
Journal reference: Proceedings of the ICM, Beijing 2002, vol. 1,
                   401--422

Submission history

From: David Mumford [view email]
[v1] Sun, 1 Dec 2002 00:00:00 UTC (358 KB)
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