Search Results for author: Hassan Mansour

Found 19 papers, 1 papers with code

Fast methods for denoising matrix completion formulations, with applications to robust seismic data interpolation

no code implementations20 Feb 2013 Aleksandr Y. Aravkin, Rajiv Kumar, Hassan Mansour, Ben Recht, Felix J. Herrmann

In this paper, we consider matrix completion formulations designed to hit a target data-fitting error level provided by the user, and propose an algorithm called LR-BPDN that is able to exploit factorized formulations to solve the corresponding optimization problem.

Collaborative Filtering Denoising +1

Chebyshev and Conjugate Gradient Filters for Graph Image Denoising

no code implementations4 Sep 2015 Dong Tian, Hassan Mansour, Andrew Knyazev, Anthony Vetro

In 3D image/video acquisition, different views are often captured with varying noise levels across the views.

Image Denoising Image Enhancement

Learning optimal nonlinearities for iterative thresholding algorithms

no code implementations15 Dec 2015 Ulugbek S. Kamilov, Hassan Mansour

Iterative shrinkage/thresholding algorithm (ISTA) is a well-studied method for finding sparse solutions to ill-posed inverse problems.

Representation and Coding of Signal Geometry

no code implementations23 Dec 2015 Petros T. Boufounos, Shantanu Rane, Hassan Mansour

In this paper, we examine the problem of encoding signals such that sufficient information is preserved about their pairwise distances and their inner products.

A Recursive Born Approach to Nonlinear Inverse Scattering

no code implementations11 Mar 2016 Ulugbek S. Kamilov, Dehong Liu, Hassan Mansour, Petros T. Boufounos

The Iterative Born Approximation (IBA) is a well-known method for describing waves scattered by semi-transparent objects.

Transparent objects

Compressive Imaging with Iterative Forward Models

no code implementations5 Oct 2016 Hsiou-Yuan Liu, Ulugbek S. Kamilov, Dehong Liu, Hassan Mansour, Petros T. Boufounos

We propose a new compressive imaging method for reconstructing 2D or 3D objects from their scattered wave-field measurements.

Guided Signal Reconstruction Theory

no code implementations2 Feb 2017 Andrew Knyazev, Akshay Gadde, Hassan Mansour, Dong Tian

New frame-less reconstruction methods are proposed, based on a novel concept of a reconstruction set, defined as a shortest pathway between the sample consistent set and the guiding set.

Accelerated Image Reconstruction for Nonlinear Diffractive Imaging

no code implementations4 Aug 2017 Yanting Ma, Hassan Mansour, Dehong Liu, Petros T. Boufounos, Ulugbek S. Kamilov

The problem of reconstructing an object from the measurements of the light it scatters is common in numerous imaging applications.

Image Reconstruction

Sparse Blind Deconvolution for Distributed Radar Autofocus Imaging

no code implementations8 May 2018 Hassan Mansour, Dehong Liu, Ulugbek S. Kamilov, Petros T. Boufounos

Common techniques that attempt to resolve the antenna ambiguity generally assume an unknown gain and phase error afflicting the radar measurements.

Position

CDSA: Cross-Dimensional Self-Attention for Multivariate, Geo-tagged Time Series Imputation

2 code implementations23 May 2019 Jiawei Ma, Zheng Shou, Alireza Zareian, Hassan Mansour, Anthony Vetro, Shih-Fu Chang

In order to jointly capture the self-attention across multiple dimensions, including time, location and the sensor measurements, while maintain low computational complexity, we propose a novel approach called Cross-Dimensional Self-Attention (CDSA) to process each dimension sequentially, yet in an order-independent manner.

Imputation Machine Translation +2

On the modes of convergence of Stochastic Optimistic Mirror Descent (OMD) for saddle point problems

no code implementations2 Aug 2019 Yanting Ma, Shuchin Aeron, Hassan Mansour

In this article, we study the convergence of Mirror Descent (MD) and Optimistic Mirror Descent (OMD) for saddle point problems satisfying the notion of coherence as proposed in Mertikopoulos et al. We prove convergence of OMD with exact gradients for coherent saddle point problems, and show that monotone convergence only occurs after some sufficiently large number of iterations.

Cross-Dimensional Self-Attention for Multivariate, Geo-tagged Time Series Imputation

no code implementations ICLR 2020 Jiawei Ma*, Zheng Shou*, Alireza Zareian, Hassan Mansour, Anthony Vetro, Shih-Fu Chang

In order to impute the missing values, state-of-the-art methods are built on Recurrent Neural Networks (RNN), which process each time stamp sequentially, prohibiting the direct modeling of the relationship between distant time stamps.

Imputation Machine Translation +2

High-Contrast Reflection Tomography with Total-Variation Constraints

no code implementations6 May 2020 Ajinkya Kadu, Hassan Mansour, Petros T. Boufounos

Inverse scattering is the process of estimating the spatial distribution of the scattering potential of an object by measuring the scattered wavefields around it.

Geophysics Object +1

Multiview Sensing With Unknown Permutations: An Optimal Transport Approach

no code implementations12 Mar 2021 Yanting Ma, Petros T. Boufounos, Hassan Mansour, Shuchin Aeron

In several applications, including imaging of deformable objects while in motion, simultaneous localization and mapping, and unlabeled sensing, we encounter the problem of recovering a signal that is measured subject to unknown permutations.

Simultaneous Localization and Mapping

Fast and High-Quality Blind Multi-Spectral Image Pansharpening

no code implementations17 Mar 2021 Lantao Yu, Dehong Liu, Hassan Mansour, Petros T. Boufounos

First, we estimate the blur kernel by computing the kernel coefficients with minimum total generalized variation that blur a downsampled version of the PAN image to approximate a linear combination of the LRMS image channels.

Image Reconstruction Pansharpening +1

Physics-Informed Koopman Network

no code implementations17 Nov 2022 Yuying Liu, Aleksei Sholokhov, Hassan Mansour, Saleh Nabi

Koopman operator theory is receiving increased attention due to its promise to linearize nonlinear dynamics.

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