Distributed optimization and statistical learning via the alternating direction method of multipliers

S Boyd, N Parikh, E Chu, B Peleato… - … and Trends® in …, 2011 - nowpublishers.com
Many problems of recent interest in statistics and machine learning can be posed in the
framework of convex optimization. Due to the explosion in size and complexity of modern …

Video processing from electro-optical sensors for object detection and tracking in a maritime environment: A survey

DK Prasad, D Rajan, L Rachmawati… - IEEE Transactions …, 2017 - ieeexplore.ieee.org
We present a survey on maritime object detection and tracking approaches, which are
essential for the development of a navigational system for autonomous ships. The electro …

Optimization with sparsity-inducing penalties

F Bach, R Jenatton, J Mairal… - … and Trends® in …, 2012 - nowpublishers.com
Sparse estimation methods are aimed at using or obtaining parsimonious representations of
data or models. They were first dedicated to linear variable selection but numerous …

Moving object detection by detecting contiguous outliers in the low-rank representation

X Zhou, C Yang, W Yu - IEEE transactions on pattern analysis …, 2012 - ieeexplore.ieee.org
Object detection is a fundamental step for automated video analysis in many vision
applications. Object detection in a video is usually performed by object detectors or …

Learning with submodular functions: A convex optimization perspective

F Bach - Foundations and Trends® in machine learning, 2013 - nowpublishers.com
Submodular functions are relevant to machine learning for at least two reasons:(1) some
problems may be expressed directly as the optimization of submodular functions and (2) the …

Sparse modeling for image and vision processing

J Mairal, F Bach, J Ponce - Foundations and Trends® in …, 2014 - nowpublishers.com
In recent years, a large amount of multi-disciplinary research has been conducted on sparse
models and their applications. In statistics and machine learning, the sparsity principle is …

[PDF][PDF] Structured variable selection with sparsity-inducing norms

R Jenatton, JY Audibert, F Bach - The Journal of Machine Learning …, 2011 - jmlr.org
We consider the empirical risk minimization problem for linear supervised learning, with
regularization by structured sparsity-inducing norms. These are defined as sums of …

Background subtraction based on low-rank and structured sparse decomposition

X Liu, G Zhao, J Yao, C Qi - IEEE Transactions on Image …, 2015 - ieeexplore.ieee.org
Low rank and sparse representation based methods, which make few specific assumptions
about the background, have recently attracted wide attention in background modeling. With …

Structured sparsity through convex optimization

F Bach, R Jenatton, J Mairal, G Obozinski - Statistical Science, 2012 - projecteuclid.org
Sparse estimation methods are aimed at using or obtaining parsimonious representations of
data or models. While naturally cast as a combinatorial optimization problem, variable or …

Bayesian variable selection and estimation for group lasso

X Xu, M Ghosh - 2015 - projecteuclid.org
The paper revisits the Bayesian group lasso and uses spike and slab priors for group
variable selection. In the process, the connection of our model with penalized regression is …