Jump to content

ApL744: Difference between revisions

From IITD Wiki
[checked revision][checked revision]
Creating course page via bot
 
Bot: wrap bare course codes in wikilinks
 
Line 4: Line 4:
| credits = 4
| credits = 4
| credit_structure = 3-0-2
| credit_structure = 3-0-2
| pre_requisites = APL703  / APL101  / MTL106  / MTL108 or
| pre_requisites = [[APL703]] / [[APL101]] / [[MTL106]] / [[MTL108]] or
| overlaps =  
| overlaps =  
}}
}}

Latest revision as of 16:22, 14 April 2026

ApL744
probabilistic Machine Learning for Mechanics
Credits 4
Structure 3-0-2
Pre-requisites APL703 / APL101 / MTL106 / MTL108 or
Overlaps

ApL744 : probabilistic Machine Learning for Mechanics

equivalent Review of Probability and statistics, Different probability distributions, prior, posterior, and likelihood, Maximum likelihood estimation, MAP estimate, Prior modelling, Hierarchical prior, empirical Bayes and evidence approximation, Sampling methods (Accept-reject sampling, importance sampling, Gibbs sampling, Markov chain and MH algorithm, sequential importance sampling, SMC and particle filter. Bayesian linear regression, Probabilistic PCA, Relevance vector machine, Gaussian process, variational inference. Application in mechanics: Feature extraction, constitutive modeling, reliability analysis and uncertainty quantification, system identification, parameter estimation, and force estimation.