Completed
Design the matrix so that one nucleates the naive state crystal nucleation idea,
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Statistical Physics and Statistical Inference - Lecture 2
Automatically move to the next video in the Classroom when playback concludes
- 1 DATE: 06 January 2020, 16:00 to
- 2 Lecture 1 Public Lecture: 6 January 2020, PM
- 3 Lecture 2: Tuesday 7th January 2020, PM
- 4 Lecture 3: Wednesday 8th January 2020, PM
- 5 Statistical physics and statistical inference Lecture 2
- 6 What is inference?
- 7 Bayesian inference
- 8 Efficient codes : parity checks LDPC codes
- 9 Error decoding: crystal hunting inference problem
- 10 Error decoding: inference problem
- 11 Phase Transitions in Error correcting codes
- 12 Error correction: decoding
- 13 Phase transitions in decoding
- 14 Statistical inference: general scheme
- 15 Bayesian inference with many unknown and many measurements
- 16 Spin glasses
- 17 Phase transition with many states: spin glasses
- 18 Inference, spin- glass and crystal: tomography of binary mixtures
- 19 Tomography of binary mixtures
- 20 Crystal : much more probable
- 21 Inference with many unknowns crystal hunting with mean-field based algorithms
- 22 Historical development of mean field equations
- 23 BP = Bethe-Peierls = Belief Propagation
- 24 BP equations
- 25 Infinite range models :
- 26 Example: SK model
- 27 SK model, TAP equations
- 28 Two important developments
- 29 2 What happens in a glass phase, when there are many pure states, and therefore many solutions?
- 30 SP=BP 2
- 31 Power of message passing algorithms
- 32 An example of fully connected model: Generalized Linear Regression
- 33 Perceptron learning
- 34 Compressed sensing
- 35 Spin glass with multispin interactions, infinite range
- 36 BP equations
- 37 TAP equations
- 38 Benchmark: noiseless limit of compressed sensing with iid measurments
- 39 Analysis of random instances : phase transitions
- 40 Design the matrix so that one nucleates the naive state crystal nucleation idea,
- 41 Getting around the glass trap
- 42 Nucleation and seeding
- 43 Structured measurement matrix.Variances of the matrix elements
- 44 Numerical study
- 45 Performance of AMP with Gauss-Bernoulli prior: phase diagram
- 46 Many glass states
- 47 Q&A
