no code implementations • 30 Jan 2023 • Gianluigi Pillonetto, Aleksandr Aravkin, Daniel Gedon, Lennart Ljung, Antônio H. Ribeiro, Thomas B. Schön
For this reason, we provide a survey of deep learning from a system identification perspective.
no code implementations • 10 Nov 2022 • Olga Dorabiala, Devavrat Vivek Dabke, Jennifer Webster, Nathan Kutz, Aleksandr Aravkin
Spatiotemporal data is increasingly available due to emerging sensor and data acquisition technologies that track moving objects.
1 code implementation • 16 Aug 2021 • Olga Dorabiala, J. Nathan Kutz, Aleksandr Aravkin
Clustering is a fundamental tool in unsupervised learning, used to group objects by distinguishing between similar and dissimilar features of a given data set.
1 code implementation • 14 May 2021 • Kelsey Maass, Aleksandr Aravkin, Minsun Kim
This study demonstrates that hyperparameter-tuning approaches to automated inverse planning can reduce active planning time with plan quality that is similar to or better than manually-generated plans.
no code implementations • 24 Mar 2021 • Hexuan Liu, Aleksandr Aravkin
A wide range of problems in computational science and engineering require estimation of sparse eigenvectors for high dimensional systems.
1 code implementation • 24 Jul 2019 • Kelsey Maass, Minsun Kim, Aleksandr Aravkin
Fluence map optimization for intensity-modulated radiation therapy planning can be formulated as a large-scale inverse problem with competing objectives and constraints associated with the tumors and organs-at-risk.
Optimization and Control Medical Physics Quantitative Methods 65K10, 90C26, 97M60
2 code implementations • 21 May 2019 • Kameron Decker Harris, Aleksandr Aravkin, Rajesh Rao, Bingni Wen Brunton
In each time window, we assume the data follow a linear model parameterized by a system matrix, and we model this stack of potentially different system matrices as a low rank tensor.
no code implementations • 28 Nov 2018 • Robert Baraldi, Rajiv Kumar, Aleksandr Aravkin
These formulations are widely used, particularly for matrix completion and sparsity promotion in data interpolation and denoising.
no code implementations • 23 Apr 2018 • Michelle Liu, Rajiv Kumar, Eldad Haber, Aleksandr Aravkin
Stochastic optimization is key to efficient inversion in PDE-constrained optimization.
no code implementations • 26 Aug 2017 • Karthikeyan Natesan Ramamurthy, Chung-Ching Lin, Aleksandr Aravkin, Sharath Pankanti, Raphael Viguier
The runtime of our implementation scales linearly with the number of observed points.
no code implementations • 4 Oct 2016 • Aleksandr Aravkin, Damek Davis
In this paper, we show how to transform any optimization problem that arises from fitting a machine learning model into one that (1) detects and removes contaminated data from the training set while (2) simultaneously fitting the trimmed model on the uncontaminated data that remains.
no code implementations • 26 May 2016 • Eunho Yang, Aurelie Lozano, Aleksandr Aravkin
We consider the problem of robustifying high-dimensional structured estimation.
1 code implementation • 19 Jan 2016 • Tristan van Leeuwen, Aleksandr Aravkin
Variable projection solves structured optimization problems by completely minimizing over a subset of the variables while iterating over the remaining variables.
1 code implementation • 4 Jun 2014 • Aleksandr Aravkin, Stephen Becker, Volkan Cevher, Peder Olsen
We introduce a new convex formulation for stable principal component pursuit (SPCP) to decompose noisy signals into low-rank and sparse representations.
no code implementations • 5 Dec 2013 • Dmitry Malioutov, Aleksandr Aravkin
Sparse reconstruction approaches using the re-weighted l1-penalty have been shown, both empirically and theoretically, to provide a significant improvement in recovering sparse signals in comparison to the l1-relaxation.