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The 13th Machine Learning Summer School

Approximate Inference

author: Tom Minka, Microsoft Research
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Slides
0:00 Approximate Inference; Part 1 of 2
0:35 Bayesian paradigm - 1
2:38 Bayesian paradigm - 2
3:11 Factor graphs - 1
5:09 Example factor graph
7:40 Two tasks
8:15 A (seemingly) intractable problem
8:28 Clutter problem
11:25 Exact posterior
13:09 Representing posterior distributions
14:45 Deterministic approximation
15:45 Moment matching
16:32 Today ; Tomorrow
16:38 Best Gaussian by moment matching
17:21 Strategy
19:58 Approximating a single factor
19:59 Graph - 1
21:10 Graph - 2
25:04 Single factor with Gaussian context
32:16 Gaussian multiplication formula
34:03 Approximation with narrow context
37:32 Approximation with medium context
38:03 Approximation with wide context
41:48 Two factors
45:59 Three factors
48:17 Message Passing = Distributed Optimization
52:04 Gaussian found by EP
52:49 Other methods
53:17 Accuracy
55:16 Cost vs. accuracy
62:14 Censoring example
66:29 Time series problems
66:37 Example: Tracking
67:07 Factor graph - 2
68:20 Approximate factor graph
72:25 Splitting a pairwise factor
73:42 Splitting in context
80:43 Sweeping through the graph - 1
81:04 Sweeping through the graph - 2
81:20 Sweeping through the graph - 3
81:28 Sweeping through the graph - 4
83:31 Example: Poisson tracking
84:41 Poisson tracking model
85:07 Factor graph - 3
86:08 Approximating a measurement factor
87:52 Graph - 3
89:37 Graph - 4
90:25 Graph - 5
93:42 Graph - 6

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