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Statistical Estimation: From Denoising to Sparse Regression and Hidden Cliques (1409.5557v1)
Published 19 Sep 2014 in cs.IT, math.IT, and stat.ML
Abstract: These notes review six lectures given by Prof. Andrea Montanari on the topic of statistical estimation for linear models. The first two lectures cover the principles of signal recovery from linear measurements in terms of minimax risk. Subsequent lectures demonstrate the application of these principles to several practical problems in science and engineering. Specifically, these topics include denoising of error-laden signals, recovery of compressively sensed signals, reconstruction of low-rank matrices, and also the discovery of hidden cliques within large networks.