855 research outputs found
An Image-Denoising Framework Fit for Quantum Annealing via QUBO and Restricted Boltzmann Machines
We investigate a framework for binary image denoising via restricted
Boltzmann machines (RBMs) that introduces a denoising objective in quadratic
unconstrained binary optimization (QUBO) form and is well-suited for quantum
annealing. The denoising objective is attained by balancing the distribution
learned by a trained RBM with a penalty term for derivations from the noisy
image. We derive the statistically optimal choice of the penalty parameter
assuming the target distribution has been well-approximated, and further
suggest an empirically supported modification to make the method robust to that
idealistic assumption. We also show under additional assumptions that the
denoised images attained by our method are, in expectation, strictly closer to
the noise-free images than the noisy images are. While we frame the model as an
image denoising model, it can be applied to any binary data. As the QUBO
formulation is well-suited for implementation on quantum annealers, we test the
model on a D-Wave Advantage machine, and also test on data too large for
current quantum annealers by approximating QUBO solutions through classical
heuristics.Comment: 13 pages, 6 figure
Joint Visual Denoising and Classification using Deep Learning
Visual restoration and recognition are traditionally addressed in pipeline
fashion, i.e. denoising followed by classification. Instead, observing
correlations between the two tasks, for example clearer image will lead to
better categorization and vice visa, we propose a joint framework for visual
restoration and recognition for handwritten images, inspired by advances in
deep autoencoder and multi-modality learning. Our model is a 3-pathway deep
architecture with a hidden-layer representation which is shared by multi-inputs
and outputs, and each branch can be composed of a multi-layer deep model. Thus,
visual restoration and classification can be unified using shared
representation via non-linear mapping, and model parameters can be learnt via
backpropagation. Using MNIST and USPS data corrupted with structured noise, the
proposed framework performs at least 20\% better in classification than
separate pipelines, as well as clearer recovered images. The noise model and
the reproducible source code is available at
{\url{https://github.com/ganggit/jointmodel}}.Comment: 5 pages, 7 figures, ICIP 201
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