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Lecture
Natural Language Generation: Task
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Statistics & Experimental Design
Explores conditional probability, Framingham studies, effect size, t-test, and sampling error in statistics.
Random Variables: Expected Value
Covers advanced probability concepts, including random variables and expected value calculation.
Probability & Stochastic Processes
Covers applied probability, stochastic processes, Markov chains, rejection sampling, and Bayesian inference methods.
Sampling: maximum likelihood estimation
Explores sampling in maximum likelihood estimation and its implications on the joint probability and likelihood contribution.
Text Generation: Basics and Evaluation
Covers the basics of text generation and the challenges of evaluating generated text using content overlap metrics, model-based metrics, and human evaluations.
Thermodynamics and phase space sampling
Covers the computation of observables through probability distributions and the significance of efficient importance sampling in simulations.
Transformer Architecture: Subquadratic Attention Mechanisms
Covers transformer architecture, focusing on encoder-decoder models and subquadratic attention mechanisms for efficient processing of input sequences.
Probabilities and Statistics: Key Theorems and Applications
Discusses key statistical concepts, including sampling dangers, inequalities, and the Central Limit Theorem, with practical examples and applications.
Empirical Estimation: Distribution Estimation
Covers methods to estimate probability distributions from samples.
Hydrologic and Hydraulic Design
Explores the design of engineering works for floods, focusing on 100-year flood determination and the collapse of levees during extreme events.