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Plug-in Estimation in High-Dimensional Linear Inverse Problems: A Rigorous Analysis

Neural Information Processing Systems

Estimating a vector x from noisy linear measurements Ax + w often requires use of prior knowledge or structural constraints on x for accurate reconstruction. Several recent works have considered combining linear least-squares estimation with a generic or "plug-in" denoiser function that can be designed in a modular manner based on the prior knowledge about x.


Model

Neural Information Processing Systems

We further show that optimistic posterior sampling can control this Hellinger distance, when we measure model error via data likelihood. This technique allows us to design and analyze unified posterior sampling algorithms with state-of-the-art sample complexity guarantees for many model-based RL settings.



Post

Neural Information Processing Systems

This affects understandability of interpretations. As a result, we process this dataset differently. We first learnWnoise, that is, a set of 10 components to model noise using training samples withno positivelabel.