7 research outputs found
Learning brain regions via large-scale online structured sparse dictionary-learning
International audienceWe propose a multivariate online dictionary-learning method for obtaining de-compositions of brain images with structured and sparse components (aka atoms). Sparsity is to be understood in the usual sense: the dictionary atoms are constrained to contain mostly zeros. This is imposed via an 1-norm constraint. By "struc-tured", we mean that the atoms are piece-wise smooth and compact, thus making up blobs, as opposed to scattered patterns of activation. We propose to use a Sobolev (Laplacian) penalty to impose this type of structure. Combining the two penalties, we obtain decompositions that properly delineate brain structures from functional images. This non-trivially extends the online dictionary-learning work of Mairal et al. (2010), at the price of only a factor of 2 or 3 on the overall running time. Just like the Mairal et al. (2010) reference method, the online nature of our proposed algorithm allows it to scale to arbitrarily sized datasets. Experiments on brain data show that our proposed method extracts structured and denoised dictionaries that are more intepretable and better capture inter-subject variability in small medium, and large-scale regimes alike, compared to state-of-the-art models
Network insensitivity to parameter noise via adversarial regularization
Neuromorphic neural network processors, in the form of compute-in-memory
crossbar arrays of memristors, or in the form of subthreshold analog and
mixed-signal ASICs, promise enormous advantages in compute density and energy
efficiency for NN-based ML tasks. However, these technologies are prone to
computational non-idealities, due to process variation and intrinsic device
physics. This degrades the task performance of networks deployed to the
processor, by introducing parameter noise into the deployed model. While it is
possible to calibrate each device, or train networks individually for each
processor, these approaches are expensive and impractical for commercial
deployment. Alternative methods are therefore needed to train networks that are
inherently robust against parameter variation, as a consequence of network
architecture and parameters. We present a new adversarial network optimisation
algorithm that attacks network parameters during training, and promotes robust
performance during inference in the face of parameter variation. Our approach
introduces a regularization term penalising the susceptibility of a network to
weight perturbation. We compare against previous approaches for producing
parameter insensitivity such as dropout, weight smoothing and introducing
parameter noise during training. We show that our approach produces models that
are more robust to targeted parameter variation, and equally robust to random
parameter variation. Our approach finds minima in flatter locations in the
weight-loss landscape compared with other approaches, highlighting that the
networks found by our technique are less sensitive to parameter perturbation.
Our work provides an approach to deploy neural network architectures to
inference devices that suffer from computational non-idealities, with minimal
loss of performance. ..
Filtered Variation method for denoising and sparse signal processing
We propose a new framework, called Filtered Variation (FV), for denoising and sparse signal processing applications. These problems are inherently ill-posed. Hence, we provide regularization to overcome this challenge by using discrete time filters that are widely used in signal processing. We mathematically define the FV problem, and solve it using alternating projections in space and transform domains. We provide a globally convergent algorithm based on the projections onto convex sets approach. We apply to our algorithm to real denoising problems and compare it with the total variation recovery
Filtered Variation method for denoising and sparse signal processing
We propose a new framework, called Filtered Variation (FV), for denoising and sparse signal processing applications. These problems are inherently ill-posed. Hence, we provide regularization to overcome this challenge by using discrete time filters that are widely used in signal processing. We mathematically define the FV problem, and solve it using alternating projections in space and transform domains. We provide a globally convergent algorithm based on the projections onto convex sets approach. We apply to our algorithm to real denoising problems and compare it with the total variation recovery. © 2012 IEEE
On alternating direction methods for monotropic semidefinite programming
Ph.DDOCTOR OF PHILOSOPH