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In this talk, we discuss a unifying deep unfolding multi-sampling-ratio interpretable CS-MRI framework. The combined approach offers more generalizability than the existing deep-learning-based CS-MRI ...
We propose a sequential method for implementing reconstruction regression. With a space-filling design of a small sample size, we use GP interpolation-based reconstruction regression to build initial ...
Given a target variable and observational data, we propose a sequential learning approach for discovering direct cause and effect variables of the target under the causal network frame-work. In the ap...
It is known that the energy technique for a posteriori error analysis of finite element discretizations of parabolic problems yields suboptimal rates in the norm L1(0; T;L2 (Ω)): In thi...
We derive fast algorithms for doing signal reconstruction without phase. This type of problem is important insignal processing, especially speech recognition technology, and has relevance for state to...
Frames for Linear Reconstruction without Phase     Frames  Linear Reconstruction  Phase       font style='font-size:12px;'> 2015/9/29
The objective of this paper is the linear reconstruction of a vector, up to a unimodular constant, when all phase information is lost, meaning only the magnitudes of frame coefficients are known. Reco...
In this paper we present a signal reconstruction algorithm from absolute value of frame coefficients that requires arelatively low redundancy. The basic idea is to use a nonlinear embedding of the inp...
On Signal Reconstruction from Its Spectrogram     Signal Reconstruction  Spectrogram       font style='font-size:12px;'> 2015/9/29
This paper presents a framework for discretetime signal reconstruction from absolute values of its shorttime Fourier coefficients. Our approach has two steps. In step one we reconstruct a band-diagona...
The primary goal of this paper is to develop fast algorithms for signal reconstruction from magnitudes of frame coefficients. This problem is important to several areas of research in signal processin...
On signal reconstruction without phase     Frame  Signal reconstruction  Phase  Speech recognition       font style='font-size:12px;'> 2015/9/29
We will construct new classes of Parseval frames for a Hilbert space which allow signal reconstruction from theabsolute value of the frame coefficients. As a consequence, signal reconstruction can be ...
The purpose of this note is to prove, for real frames, that signal reconstruction from the absolute value ofthe frame coefficients is equivalent to solution of a sparse signal optimization problem, na...
The goal of this paper is to develop fast algorithms for signal reconstruction from magnitudes of frame coefficients.This problem is important to several areas of research in signal processing, especi...
Frame design for phaseless reconstruction is now part of the broader problem of nonlinear recon- struction and is an emerging topic in harmonic analysis. The problem of phaseless reconstruction can be...
Reconstruction for models on random graphs     Random variables  algorithms  the random sequence diagram       font style='font-size:12px;'> 2015/8/21
Consider a collection of random variables attached to the vertices of a graph. The reconstruction problem requires to estimate one of them given ‘far away’ observations. Several theoretical results (a...
Random instances of Constraint Satisfaction Problems (CSP’s) appear to be hard for all known algorithms, when the number of constraints per variable lies in a certain interval. Contributing to the gen...

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