
Scorebased Generative Neural Networks for LargeScale Optimal Transport
We consider the fundamental problem of sampling the optimal transport co...
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Generator Surgery for Compressed Sensing
Image recovery from compressive measurements requires a signal prior for...
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Optimal Sample Complexity of Gradient Descent for Amplitude Flow via NonLipschitz Matrix Concentration
We consider the problem of recovering a realvalued ndimensional signal...
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Compressive Phase Retrieval: Optimal Sample Complexity with Deep Generative Priors
Advances in compressive sensing provided reconstruction algorithms of sp...
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Nonasymptotic Guarantees for LowRank Matrix Recovery with Generative Priors
Many problems in statistics and machine learning require the reconstruct...
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Global Convergence of Sobolev Training for Overparametrized Neural Networks
Sobolev loss is used when training a network to approximate the values a...
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Reducing the Representation Error of GAN Image Priors Using the Deep Decoder
Generative models, such as GANs, learn an explicit lowdimensional repre...
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Bilinear Compressed Sensing under known Signs via Convex Programming
We consider the bilinear inverse problem of recovering two vectors, x∈R^...
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Global Guarantees for Blind Demodulation with Generative Priors
We study a deep learning inspired formulation for the blind demodulation...
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Invertible generative models for inverse problems: mitigating representation error and dataset bias
Trained generative models have shown remarkable performance as priors fo...
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Simultaneous Phase Retrieval and Blind Deconvolution via Convex Programming
We consider the task of recovering two real or complex mvectors from ph...
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Deep Decoder: Concise Image Representations from Untrained Nonconvolutional Networks
Deep neural networks, in particular convolutional neural networks, have ...
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A convex program for bilinear inversion of sparse vectors
We consider the bilinear inverse problem of recovering two vectors, x∈R^...
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Phase Retrieval Under a Generative Prior
The phase retrieval problem asks to recover a natural signal y_0 ∈R^n fr...
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Blind Deconvolutional Phase Retrieval via Convex Programming
We consider the task of recovering two real or complex mvectors from ph...
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Deep Denoising: RateOptimal Recovery of Structured Signals with a Deep Prior
Deep neural networks provide stateoftheart performance for image deno...
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ShapeFit and ShapeKick for Robust, Scalable Structure from Motion
We introduce a new method for location recovery from pairwise direction...
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ShapeFit: Exact location recovery from corrupted pairwise directions
Let t_1,...,t_n ∈R^d and consider the location recovery problem: given a...
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Paul Hand
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