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.