Gene regulatory network reconstruction by Bayesian integration of prior knowledge and/or different experimental conditions
Description
There have been various attempts to improve the reconstruction
of gene regulatory networks from microarray data by the
systematic integration of biological prior knowledge.
Our approach follows the Bayesian paradigm
where the prior knowledge is expressed
in terms of energy functions, from which a prior
distribution over network structures is obtained in
the form of a Gibbs distribution.
The hyperparameters of this distribution represent
the weights associated with the
prior knowledge relative to the data.
We have derived and tested an MCMC scheme for sampling networks
and hyperparameters simultaneously from the
posterior distribution, thereby automatically learning how to
trade off information from the prior and the data.
We have extended this approach to a Bayesian coupling scheme for
learning
gene regulatory networks from a combination of related data sets
that were obtained under different experimental conditions
and are therefore potentially associated with different active
subpathways.
| Slides | |
| 0:00 | Statistical Applications in Genetics and Molecular Biology |
| 0:10 | Systems Biology - 1 |
| 0:18 | Systems Biology - 2 |
| 0:24 | Systems Biology - 3 |
| 0:27 | Systems Biology - 4 |
| 0:31 | Systems Biology - 5 |
| 0:38 | Systems Biology - 6 |
| 0:42 | Problem - 1 |
| 0:55 | Problem - 2 |
| 1:02 | Systematically Integrating Different Sources - 1 |
| 1:12 | Systematically Integrating Different Sources - 2 |
| 1:20 | Systematically Integrating Different Sources - 3 |
| 1:23 | Systematically Integrating Different Sources - 4 |
| 1:47 | Which Sources of Prior Knowledge Are Reliable? |
| 1:55 | Overview of the Talk |
| 2:04 | - Revision: Bayesian Networks |
| 2:07 | Bayesian Networks - 1 |
| 2:59 | Bayesian Networks - 2 |
| 4:58 | Bayesian Networks Versus Causal Networks - 1 |
| 5:20 | Bayesian Networks Versus Causal Networks - 2 |
| 5:45 | Symmetry Breaking |
| 6:29 | P(D|M) |
| 6:35 | P(M) |
| 6:43 | P(M|D) ~ P(D|M) P(M) |
| 6:55 | Learning Bayesian Networks - 1 |
| 7:42 | Learning Bayesian Networks - 2 |
| 7:59 | Learning Bayesian Networks - 3 |
| 8:04 | Learning Bayesian Networks - 2 |
| 8:16 | - Integration of Prior Knowledge |
| 8:19 | Estimating Gene Networks |
| 8:34 | Use TF Binding Motifs in Promoter Sequences |
| 9:12 | Biological Prior Knowledge - 1 |
| 9:49 | Biological Prior Knowledge - 2 |
| 10:21 | Notation |
| 10:36 | Energy of a Network - 1 |
| 10:39 | Biological Prior Knowledge - 2 |
| 10:41 | Energy of a Network - 1 |
| 11:49 | Sample Networks and Hyperparameters from the Posterior Distribution - 1 |
| 12:08 | Energy of a Network - 2 |
| 12:54 | Energy of a Network - 3 |
| 13:47 | Approximation of the Partition Function - 1 |
| 14:31 | - Questions |
| 14:47 | - Questions |
| 15:44 | Multiple Sources of Prior Knowledge |
| 16:10 | Energy of a Network - 4 |
| 16:26 | Approximation of the Partition Function - 2 |
| 16:42 | MCMC Sampling Scheme |
| 16:43 | - Questions |
| 17:01 | MCMC Sampling Scheme |
| 17:03 | Sample Networks and Hyperparameters from the Posterior Distribution |
| 17:51 | Metropolis-Hastings Scheme - 1 |
| 18:01 | Metropolis-Hastings Scheme - 2 |
| 18:28 | MCMC with One Prior - 1 |
| 18:38 | MCMC with One Prior - 2 |
| 19:03 | MCMC with One Prior - 3 |
| 19:13 | MCMC with One Prior - 4 |
| 19:20 | MCMC with One Prior - 5 |
| 19:26 | Approximation of the Partition Function - 3 |
| 19:30 | MCMC with Two Priors |
| 19:33 | Bayesian Networks with Biological Prior Knowledge |
| 19:40 | Bayesian Networks with Two Sources of Prior - 1 |
| 20:08 | Bayesian Networks with Two Sources of Prior - 2 |
| 20:15 | Bayesian Networks with Two Sources of Prior - 3 |
| 20:18 | - Empirical Evaluation |
| 20:21 | Evaluation - 1 |
| 20:47 | Application to the Raf Regulatory Network |
| 20:49 | Raf Regulatory Network - 1 |
| 21:12 | Raf Regulatory Network - 2 |
| 21:13 | Evaluation: Raf Signalling Pathway |
| 21:15 | Data: Prior Knowledge - 1 |
| 21:16 | Flow Cytometry Data |
| 22:07 | Microarray Example |
| 22:48 | Data: Prior Knowledge - 2 |
| 22:48 | Flow Cytometry Data and KEGG |
| 23:03 | Prior Knowledge from KEGG |
| 23:07 | Prior Distributor |
| 23:17 | Prior Knowledge from KEGG |
| 23:25 | Prior Distributor |
| 23:28 | Prior Knowledge from KEGG |
| 23:32 | Prior Distributor |
| 23:36 | Prior Knowledge from KEGG |
| 23:37 | Prior Distributor |
| 23:58 | The Data and the Priors |
| 24:15 | Evaluation - 2 |
| 24:18 | Bayesian Networks with Two Sources of Prior - 4 |
| 24:25 | Bayesian Networks with Two Sources of Prior - 5 |
| 24:28 | Sampled Values of the Hyperparameters |
| 25:02 | How to Compare the Recovered Networks? |
| 25:16 | Deterministic Interference |
| 25:42 | Probabilistic Interference |
| 25:47 | Tresholding |
| 25:52 | Performance Evaluation: ROC Curves - 1 |
| 26:11 | Performance Evaluation: ROC Curves - 2 |
| 26:34 | Alternative Performance Evaluation: True Positive (TP) Scores - 1 |
| 26:41 | Alternative Performance Evaluation: True Positive (TP) Scores - 2 |
| 26:56 | Directed Graph Evaluation - DGE |
| 27:08 | Undirected Graph Evaluation - UGE |
| 27:14 | Evaluation - 3 |
| 27:24 | Flow Cytometry Data and KEGG |
| 29:31 | Evaluation - 4 |
| 29:35 | Learning the Trade-Off Hyperparameter |
| 30:04 | Flow Cytometry Data and KEGG |
| 30:12 | Learning the Trade-Off Hyperparameter |
| 30:23 | Flow Cytometry Data and KEGG |
| 30:28 | Learning the Trade-Off Hyperparameter |
| 31:33 | Learning the Trade-Off Hyperparameters on Simulated Data |
| 31:48 | New Evidence for the Accepted Network |
| 32:33 | Reconstructing Regulatory Networks under Different Experimental Conditions |
| 32:38 | The Original Problem of Reconstructing - 1 |
| 32:45 | The Original Problem of Reconstructing - 2 |
| 32:46 | Multiple Data Sets Obtained under Different Experimental Conditions - 1 |
| 32:47 | Multiple Data Sets Obtained under Different Experimental Conditions - 2 |
| 33:07 | Multiple Data Sets Obtained under Different Experimental Conditions - 3 |
| 33:33 | Multiple Data Sets Obtained under Different Experimental Conditions - 4 |
| 33:38 | Multiple Data Sets Obtained under Different Experimental Conditions - 5 |
| 33:42 | Combining the Data |
| 33:43 | Combining the Data - 1 |
| 33:52 | Multiple Data Sets Obtained under Different Experimental Conditions - 5 |
| 33:55 | Combining the Data - 1 |
| 34:14 | Combining the Data - 2 |
| 34:15 | Compromise - 1 |
| 35:28 | Compromise - 2 |
| 35:34 | Compromise - 3 |
| 35:39 | Compromise - 4 |
| 35:51 | Compromise - 5 |
| 35:56 | Compromise - 6 |
| 35:58 | MCMC |
| 36:09 | Empirical Evaluation |
| 36:13 | Simulated Data - 1 |
| 36:13 | Simulated Data - 2 |
| 36:19 | Simulated Data - 3 |
| 36:28 | Simulated Data - 4 |
| 36:31 | Simulated Data - 5 |
| 36:33 | Data |
| 36:40 | Sampling the Hyperparameters |
| 36:45 | Can We Detect the Corrupt (Noisy) Data Set? - 1 |
| 36:51 | Can We Detect the Corrupt (Noisy) Data Set? - 2 |
| 36:53 | Can We Detect the Corrupt (Noisy) Data Set? - 3 |
| 37:42 | Evaluation - 5 |
| 37:50 | Simulated Data - 6 |
| 38:01 | Cytometry Data |
| 38:21 | Convergence Assessment |
| 38:59 | Acceptance Ratios |
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we can't follow his talk without the presentation.
wonderful tutorial on gene regulatory networks i have ever seen.I expect you will provide video tutorial on other bioinformatics related topic in future.