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A conditional game for comparing approximations
Published on May 06, 20114086 Views
We present a "conditional game" to be played between two approximate inference algorithms. We prove that exact inference is an optimal strategy and demonstrate how the game can be used to estimate
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A conditional game for comparing approximations00:00
Outline00:18
Model (1)00:26
Model (2)00:32
Model (3)00:37
Model (4)00:41
Model (5)00:50
Model (6)00:52
Model (7)00:57
Model (8)01:05
Model (9)01:06
Model (10)01:11
Model (11)01:12
Model (12)01:17
Model (13)01:19
Model (14)01:25
Overview (1)01:28
Overview (2)01:29
Overview (3)01:40
Overview (4)01:48
Overview (5)01:50
Overview (6)01:56
Overview (7)02:00
Overview (8)02:04
Overview (9)02:09
Overview (10)02:11
Overview (11)02:19
Overview (12)02:28
Approximate inference (1)02:34
Approximate inference (2)02:37
Approximate inference (3)02:47
Approximate inference (4)03:03
Approximate inference (5)03:08
Approximate inference (6)03:11
Approximate inference (7)03:14
Approximate inference (8)03:18
Approximate inference (9)03:21
Approximate inference (10)03:23
Approximate inference (11)03:30
Approximate inference (12)03:34
Approximate inference (13)03:38
Approximate inference (14)03:41
Approximate inference (15)03:48
Approximate inference (16)03:51
Derivation of game03:59
Game requirements (1)04:01
Game requirements (2)04:02
Game requirements (3)04:12
Game requirements (4)04:37
Game requirements (5)04:43
Game requirements (6)05:21
Game requirements (7)05:41
Sampling a point (1)05:43
Sampling a point (2)05:46
Sampling a point (3)05:51
Sampling a point (4)05:52
Sampling a point (5)05:53
Sampling a point (6)05:59
Two quantities (1)06:06
Two quantities (2)06:24
Two quantities (3)06:28
Two quantities (4)06:35
Partition function estimate (1)06:43
Partition function estimate (2)06:53
Partition function estimate (3)06:55
Partition function estimate (4)07:04
Partition function estimate (5)07:11
Partition function estimate (6)07:21
Partition function estimate (7)07:35
Partition function estimate (8)07:38
Partition function estimate (9)08:10
The opponent's strategy (1)08:17
The opponent's strategy (2)08:27
The opponent's strategy (3)08:46
The opponent's strategy (4)08:56
The opponent's strategy (5)09:30
The opponent's strategy (6)09:33
The opponent's strategy (7)09:43
The opponent's strategy, restated (1)09:48
The opponent's strategy, restated (2)10:02
The opponent's strategy, restated (3)10:15
The opponent's strategy, restated (4)10:23
The opponent's strategy, restated (5)10:23
The opponent's strategy, restated (6)10:27
Strategies versus conditioned marginals (1)10:44
Strategies versus conditioned marginals (2)11:00
Strategies versus conditioned marginals (3)11:20
Strategies versus conditioned marginals (4)11:25
Strategies versus conditioned marginals (5)11:28
Strategies versus conditioned marginals (6)11:30
Strategies versus conditioned marginals (7)11:39
Strategies versus conditioned marginals (8)11:43
Strategies versus conditioned marginals (9)11:45
De nition of game12:01
De nition of conditional game (1)12:03
De nition of conditional game (2)12:05
De nition of conditional game (3)12:06
De nition of conditional game (4)12:16
De nition of conditional game (5)12:19
De nition of conditional game (6)12:27
De nition of conditional game (7)12:58
De nition of conditional game (8)13:06
De nition of conditional game (9)13:17
De nition of conditional game (10)13:22
De nition of conditional game (11)13:43
Variable order (1)13:57
Variable order (2)14:19
An example game (1)15:26
An example game (2)15:34
An example game (3)15:40
An example game (4)15:42
An example game (5)15:46
An example game (6)15:49
An example game (7)16:02
An example game (8)16:04
An example game (9)16:05
An example game (10)16:06
An example game (11)16:29
An example game (12)16:32
An example game (13)16:40
Scores for comparing approximations17:08
The di erence score (1)17:12
The di erence score (2)17:19
The di erence score (3)17:21
The di erence score (4)17:22
The di erence score (5)17:31
The di erence score (6)18:09
The di erence score (7)18:19
The four-way score (1)18:33
The four-way score (2)18:42
The four-way score (3)18:48
The four-way score (4)18:48
The four-way score (5)18:49
The four-way score (7)19:27
The four-way score (8)19:30
Legal analogy (1)19:35
Legal analogy (2)19:39
Legal analogy (3)19:41
Legal analogy (4)19:42
Legal analogy (5)19:43
Properties of four-way score (1)19:47
Properties of four-way score (2)20:00
Properties of four-way score (3)20:20
Properties of four-way score (4)20:25
Properties of four-way score (5)20:28
Properties of four-way score (6)20:33
Properties of four-way score (7)20:57
Theoretical results21:04
Theoretical bounds for comparing approximations (1)21:05
Theoretical bounds for comparing approximations (2)21:08
Theoretical bounds for comparing approximations (3)21:10
Theoretical bounds for comparing approximations (4)21:12
Theoretical bounds for comparing approximations (5)21:32
Theoretical bounds for comparing approximations (6)21:56
Theoretical bounds for comparing approximations (7)22:05
Theoretical bounds for comparing approximations (8)22:08
Theoretical bounds for comparing approximations (9)22:16
Theoretical bounds for comparing approximations (10)22:20
Error measures (1)22:43
Error measures (2)22:46
Error measures (3)22:53
Experimental results (1)23:34
Experimental results (2)23:37
Comparison of fi ve approximations (1)23:43
Comparison of fi ve approximations (2)23:44
Comparison of fi ve approximations (3)23:47
Comparison of fi ve approximations (4)23:48
Comparison of fi ve approximations (5)23:49
Random approximations and models (1)25:21
Random approximations and models (2)25:27
Random approximations and models (3)25:36
Random approximations and models (4)25:48
Random approximations and models (5)26:00
S4 versus error (1)26:09
S4 versus error (2)26:59
S4 versus error (3)27:10
Single-elimination tournament (1)27:16
Single-elimination tournament (2)27:54
Single-elimination tournament (3)28:21
Single-elimination tournament (4)28:28
Single-elimination tournament (5)28:35
Conclusion (1)29:06
Conclusion (2)29:07
Conclusion (3)29:08
Conclusion (4)29:12
Conclusion (5)29:14
Conclusion (6)29:16
Conclusion (7)29:19
Conclusion (8)29:21
Conclusion (9)29:23
Conclusion (10)29:24
Conclusion (11)29:25
Conclusion (12)29:26
Conclusion (13)29:28
Conclusion (14)29:29
Conclusion (15)29:30
Conclusion (16)29:31
Conclusion (17)29:34
Conclusion (18)29:45
Conclusion (19)29:52
Conclusion (20)29:53
Conclusion (21)30:00
Conclusion (22)30:03