Search Results for author: Aleksandr Aravkin

Found 15 papers, 6 papers with code

Deep networks for system identification: a Survey

no code implementations30 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.

Spatiotemporal k-means

no code implementations10 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.

Clustering

Robust Trimmed k-means

1 code implementation16 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.

Clustering

A hyperparameter-tuning approach to automated inverse planning

1 code implementation14 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.

Bayesian Optimization Dimensionality Reduction

Analysis of Truncated Orthogonal Iteration for Sparse Eigenvector Problems

no code implementations24 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.

A nonconvex optimization approach to IMRT planning with dose-volume constraints

1 code implementation24 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

Time-varying Autoregression with Low Rank Tensors

2 code implementations21 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.

Basis Pursuit Denoise with Nonsmooth Constraints

no code implementations28 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.

Denoising Matrix Completion

A SMART Stochastic Algorithm for Nonconvex Optimization with Applications to Robust Machine Learning

no code implementations4 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.

BIG-bench Machine Learning

Non-smooth Variable Projection

1 code implementation19 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.

A variational approach to stable principal component pursuit

1 code implementation4 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.

Iterative Log Thresholding

no code implementations5 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.

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