Search Results for author: Thomas Goldstein

Found 4 papers, 1 papers with code

Tight Second-Order Certificates for Randomized Smoothing

1 code implementation20 Oct 2020 Alexander Levine, Aounon Kumar, Thomas Goldstein, Soheil Feizi

In this work, we show that there also exists a universal curvature-like bound for Gaussian random smoothing: given the exact value and gradient of a smoothed function, we compute a lower bound on the distance of a point to its closest adversarial example, called the Second-order Smoothing (SoS) robustness certificate.

ShapeFit and ShapeKick for Robust, Scalable Structure from Motion

no code implementations7 Aug 2016 Thomas Goldstein, Paul Hand, Choongbum Lee, Vladislav Voroninski, Stefano Soatto

We introduce a new method for location recovery from pair-wise directions that leverages an efficient convex program that comes with exact recovery guarantees, even in the presence of adversarial outliers.

Layer-Specific Adaptive Learning Rates for Deep Networks

no code implementations15 Oct 2015 Bharat Singh, Soham De, Yangmuzi Zhang, Thomas Goldstein, Gavin Taylor

In this paper, we attempt to overcome the two above problems by proposing an optimization method for training deep neural networks which uses learning rates which are both specific to each layer in the network and adaptive to the curvature of the function, increasing the learning rate at low curvature points.

Image Classification

Fast Sublinear Sparse Representation using Shallow Tree Matching Pursuit

no code implementations1 Dec 2014 Ali Ayremlou, Thomas Goldstein, Ashok Veeraraghavan, Richard Baraniuk

Sparse approximations using highly over-complete dictionaries is a state-of-the-art tool for many imaging applications including denoising, super-resolution, compressive sensing, light-field analysis, and object recognition.

Compressive Sensing Image Denoising +2

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