Eigenstate Thermalization HypothesisExplores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Spiked Matrix EstimationCovers the AMP algorithm for spiked matrix estimation and its application to low-rank matrix factorization and GLM models.
Column Subset Selection: RRQR and TCSExplores RRQR, TCS, tradeoffs, accuracy metrics, and low-rank matrix factorization frameworks, emphasizing communication avoidance and recent developments.
Image Processing TechniquesCovers image processing techniques including noise addition, filtering, and image enhancement using various filters and tools.
Sparse RegressionCovers the concept of sparse regression and the use of Gaussian additive noise in the context of MAP estimator and regularization.
Multivariable ControlCovers Gaussian random variables, affine transformations, and linear systems driven by Gaussian noise in multivariable control.
Gaussian Noise: Decision MakingCovers Gaussian noise and decision-making in communication systems, emphasizing the importance of understanding Gaussian noise in signal processing.
Finite Element MethodCovers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.
Finite Element ModelingCovers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.