Pattern theory
by David Mumford · first published 2010
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Pattern Theory, pioneered by Ulf Grenander, is a distinctive approach to the analysis of all forms of real-world signals. At its core is the design of a large variety of probabilistic models whose samples reproduce the look and feel of the real signals, their patterns, and their variability. Bayesian statistical inference then allows you to apply these models in the analysis of new signals. This book treats the mathematical tools, the models themselves, and the computational algorithms for applying statistics to analyze six representative classes of signals of increasing complexity. "Pattern
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I'm looking to gain functional familiarity but also at the same time working on real world applications. Did you mean David Mumford's "Pattern Theory"? It was the only book I could find that's close to the topic. Unless I'm looking at the wrong David Mumford?
on “Ask HN: How to learn machine learning on my own?” ↗Insights from famed algebraic geometer and Fields medalist David Mumford, who has also worked (and co-authored a book) on Pattern Theory (statistical computer vision). https://en.wikipedia.org/wiki/David_Mumford
on “Can an artificial intelligence machine be conscious? (David Mumford blog, 2019)” ↗The author, David Mumford, is known for his distinguished work in algebraic geometry, and was awarded the Fields Medal in 1974. [2] Pattern theory was formulated by Ulf Grenander to describe knowledge of the world as patterns. [3] Prof. Mumford explains that "[s]everal essential ideas brought me to realize how Grenander's Pattern Theory was the…
on “Pattern Theory: The Mathematics of Perception (D. Mumford) (2002)” ↗Having once studied just enough algebraic geometry to appreciate the true excellence of Mumford’s work in the field I’ve often wondered if I should study his Pattern Theory book [0] to mine it for insights that the ML community may have missed as a whole. Has anyone here worked through it? It seems like much of it is rooted in methods that have kind of fallen by the wayside…
on “Pattern Theory: The Mathematics of Perception (D. Mumford) (2002)” ↗