101 research outputs found
A Theoretically Guaranteed Deep Optimization Framework for Robust Compressive Sensing MRI
Magnetic Resonance Imaging (MRI) is one of the most dynamic and safe imaging
techniques available for clinical applications. However, the rather slow speed
of MRI acquisitions limits the patient throughput and potential indi cations.
Compressive Sensing (CS) has proven to be an efficient technique for
accelerating MRI acquisition. The most widely used CS-MRI model, founded on the
premise of reconstructing an image from an incompletely filled k-space, leads
to an ill-posed inverse problem. In the past years, lots of efforts have been
made to efficiently optimize the CS-MRI model. Inspired by deep learning
techniques, some preliminary works have tried to incorporate deep architectures
into CS-MRI process. Unfortunately, the convergence issues (due to the
experience-based networks) and the robustness (i.e., lack real-world noise
modeling) of these deeply trained optimization methods are still missing. In
this work, we develop a new paradigm to integrate designed numerical solvers
and the data-driven architectures for CS-MRI. By introducing an optimal
condition checking mechanism, we can successfully prove the convergence of our
established deep CS-MRI optimization scheme. Furthermore, we explicitly
formulate the Rician noise distributions within our framework and obtain an
extended CS-MRI network to handle the real-world nosies in the MRI process.
Extensive experimental results verify that the proposed paradigm outperforms
the existing state-of-the-art techniques both in reconstruction accuracy and
efficiency as well as robustness to noises in real scene
Proximal Alternating Direction Network: A Globally Converged Deep Unrolling Framework
Deep learning models have gained great success in many real-world
applications. However, most existing networks are typically designed in
heuristic manners, thus lack of rigorous mathematical principles and
derivations. Several recent studies build deep structures by unrolling a
particular optimization model that involves task information. Unfortunately,
due to the dynamic nature of network parameters, their resultant deep
propagation networks do \emph{not} possess the nice convergence property as the
original optimization scheme does. This paper provides a novel proximal
unrolling framework to establish deep models by integrating experimentally
verified network architectures and rich cues of the tasks. More importantly, we
\emph{prove in theory} that 1) the propagation generated by our unrolled deep
model globally converges to a critical-point of a given variational energy, and
2) the proposed framework is still able to learn priors from training data to
generate a convergent propagation even when task information is only partially
available. Indeed, these theoretical results are the best we can ask for,
unless stronger assumptions are enforced. Extensive experiments on various
real-world applications verify the theoretical convergence and demonstrate the
effectiveness of designed deep models
Cascaded deep monocular 3D human pose estimation with evolutionary training data
End-to-end deep representation learning has achieved remarkable accuracy for
monocular 3D human pose estimation, yet these models may fail for unseen poses
with limited and fixed training data. This paper proposes a novel data
augmentation method that: (1) is scalable for synthesizing massive amount of
training data (over 8 million valid 3D human poses with corresponding 2D
projections) for training 2D-to-3D networks, (2) can effectively reduce dataset
bias. Our method evolves a limited dataset to synthesize unseen 3D human
skeletons based on a hierarchical human representation and heuristics inspired
by prior knowledge. Extensive experiments show that our approach not only
achieves state-of-the-art accuracy on the largest public benchmark, but also
generalizes significantly better to unseen and rare poses. Code, pre-trained
models and tools are available at this HTTPS URL.Comment: Accepted to CVPR 2020 as Oral Presentatio
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