carlos rodriguez on heat, learning and prediction july 10, 2007 (52)
TRANSCRIPT
![Page 1: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/1.jpg)
Carlos Rodriguezon
Heat, Learning and Prediction
July 10, 2007
(52)
![Page 2: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/2.jpg)
Problem:
I have a brain I observe x I want to understand x I need to predict future x'
How ?
![Page 3: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/3.jpg)
Brain ?
Why ?
![Page 4: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/4.jpg)
![Page 5: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/5.jpg)
movement brain
![Page 6: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/6.jpg)
sea squirtat home
![Page 7: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/7.jpg)
CNS for navigation
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Bio
Phys
Math
![Page 9: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/9.jpg)
![Page 10: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/10.jpg)
t
Truth: t(x)
Model: { p(x|)}
Geometrization of Inference
![Page 11: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/11.jpg)
I±(p®¼: t®! )
minimized when: Gibbs distribution !
negative free energy !
I G N O R A N C E
![Page 12: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/12.jpg)
t
Truth: t(x)
Model: { p(x|)}
Geometrization of Inference
![Page 13: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/13.jpg)
I±(p®¼: t®! )
minimized when: Gibbs distribution !
negative free energy !
I G N O R A N C E
![Page 14: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/14.jpg)
t
Truth: t(x)
Model: { p(x|)}
Geometrization of Inference
![Page 15: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/15.jpg)
I±(p®¼: t®! )
minimized when: Gibbs distribution !
negative free energy !
I G N O R A N C E
![Page 16: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/16.jpg)
t
Truth: t(x)
Model: { p(x|)}
Geometrization of Inference
![Page 17: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/17.jpg)
I±(p®¼: t®! )
minimized when: Gibbs distribution !
negative free energy !
I G N O R A N C E
![Page 18: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/18.jpg)
![Page 19: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/19.jpg)
![Page 20: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/20.jpg)
![Page 21: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/21.jpg)
** I G N O R A N C E **
minimized when
![Page 22: Carlos Rodriguez on Heat, Learning and Prediction July 10, 2007 (52)](https://reader036.vdocument.in/reader036/viewer/2022081603/5697bff41a28abf838cbd42e/html5/thumbnails/22.jpg)
OPTIMALITY OF CONJUGATE PRIORS
minimizes:
provided
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Example:
need
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