Search Results for author: Babhru Joshi

Found 6 papers, 2 papers with code

A coherence parameter characterizing generative compressed sensing with Fourier measurements

no code implementations19 Jul 2022 Aaron Berk, Simone Brugiapaglia, Babhru Joshi, Yaniv Plan, Matthew Scott, Özgür Yılmaz

In Bora et al. (2017), a mathematical framework was developed for compressed sensing guarantees in the setting where the measurement matrix is Gaussian and the signal structure is the range of a generative neural network (GNN).

PLUGIn: A simple algorithm for inverting generative models with recovery guarantees

no code implementations NeurIPS 2021 Babhru Joshi, Xiaowei Li, Yaniv Plan, Ozgur Yilmaz

We prove that, when weights are Gaussian and layer widths $n_i \gtrsim 5^i n_0$ (up to log factors), the algorithm converges geometrically to a neighbourhood of $x$ with high probability.

PLUGIn-CS: A simple algorithm for compressive sensing with generative prior

no code implementations NeurIPS Workshop Deep_Invers 2021 Babhru Joshi, Xiaowei Li, Yaniv Plan, Ozgur Yilmaz

After a sufficient number of iterations, the estimation errors for both $x$ and $\mathcal{G}(x)$ are at most in the order of $\sqrt{4^dn_0/m} \|\epsilon\|$.

Compressive Sensing

Polar Deconvolution of Mixed Signals

1 code implementation14 Oct 2020 Zhenan Fan, Halyun Jeong, Babhru Joshi, Michael P. Friedlander

The signal demixing problem seeks to separate a superposition of multiple signals into its constituent components.

Global Guarantees for Blind Demodulation with Generative Priors

1 code implementation NeurIPS 2019 Paul Hand, Babhru Joshi

That is, the objective function has a descent direction at every point outside of a small neighborhood around four hyperbolic curves.

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