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A new optimization design is proposed for matrix completion by weighting the measurements and deriving the corresponding error bound. Accordingly, the Haplotype reconstruction using nuclear norm minimization with Weighted Constraint…

Signal Processing · Electrical Eng. & Systems 2021-01-13 Sina Majidian , M. Mohades , M. H. Kahaei

We consider estimating the transition probability matrix of a finite-state finite-observation alphabet hidden Markov model with known observation probabilities. The main contribution is a two-step algorithm; a method of moments estimator…

Systems and Control · Computer Science 2017-11-22 Robert Mattila , Cristian R. Rojas , Vikram Krishnamurthy , Bo Wahlberg

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

Methodology · Statistics 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm

A major bottleneck in the quest for scalable many-body quantum technologies is the difficulty in benchmarking their preparations, which suffer from an exponential `curse of dimensionality' inherent to their quantum states. We present an…

Quantum Physics · Physics 2019-07-31 Juan Carrasquilla , Giacomo Torlai , Roger G. Melko , Leandro Aolita

Compressed Sensing MRI reconstructs images of the body's internal anatomy from undersampled measurements, thereby reducing scan time. Recently, deep learning has shown great potential for reconstructing high-fidelity images from highly…

Image and Video Processing · Electrical Eng. & Systems 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar

When a series of (related) linear models has to be estimated it is often appropriate to combine the different data-sets to construct more efficient estimators. We use $\ell_1$-penalized estimators like the Lasso or the Adaptive Lasso which…

Statistics Theory · Mathematics 2007-12-18 Lukas Meier , Peter Bühlmann

We consider the problem of robustifying high-dimensional structured estimation. Robust techniques are key in real-world applications which often involve outliers and data corruption. We focus on trimmed versions of structurally regularized…

Machine Learning · Statistics 2017-08-22 Eunho Yang , Aurelie Lozano , Aleksandr Aravkin

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

Bayesian inference involves two main computational challenges. First, in estimating the parameters of some model for the data, the posterior distribution may well be highly multi-modal: a regime in which the convergence to stationarity of…

Instrumentation and Methods for Astrophysics · Physics 2019-12-10 F. Feroz , M. P. Hobson , E. Cameron , A. N. Pettitt

Markov Chain Monte Carlo (MCMC) algorithms are standard approaches to solve imaging inverse problems and quantify estimation uncertainties, a key requirement in absence of ground-truth data. To improve estimation quality, Plug-and-Play MCMC…

Methodology · Statistics 2025-11-04 Maxime Bouton , Pierre-Antoine Thouvenin , Audrey Repetti , Pierre Chainais

We present a new loss function for the validation of image landmarks detected via Convolutional Neural Networks (CNN). The network learns to estimate how accurate its landmark estimation is. This loss function is applicable to all…

Computer Vision and Pattern Recognition · Computer Science 2020-05-01 Wolfgang Fuhl , Enkelejda Kasneci

Regression with the lasso penalty is a popular tool for performing dimension reduction when the number of covariates is large. In many applications of the lasso, like in genomics, covariates are subject to measurement error. We study the…

Methodology · Statistics 2017-01-04 Øystein Sørensen , Arnoldo Frigessi , Magne Thoresen

This paper aims to accelerate the test-time computation of convolutional neural networks (CNNs), especially very deep CNNs that have substantially impacted the computer vision community. Unlike previous methods that are designed for…

Computer Vision and Pattern Recognition · Computer Science 2015-11-19 Xiangyu Zhang , Jianhua Zou , Kaiming He , Jian Sun

A wide range of systems exhibit high dimensional incomplete data. Accurate estimation of the missing data is often desired, and is crucial for many downstream analyses. Many state-of-the-art recovery methods involve supervised learning…

Computer Vision and Pattern Recognition · Computer Science 2019-03-15 Adrian V. Dalca , John Guttag , Mert R. Sabuncu

Convolutional neural networks (CNNs) are used in many embedded applications, from industrial robotics and automation systems to biometric identification on mobile devices. State-of-the-art classification is typically achieved by large…

Machine Learning · Computer Science 2020-05-22 Yuan Wen , Andrew Anderson , Valentin Radu , Michael F. P. O'Boyle , David Gregg

Datasets with missing values are very common on industry applications, and they can have a negative impact on machine learning models. Recent studies introduced solutions to the problem of imputing missing values based on deep generative…

Machine Learning · Computer Science 2019-02-28 Ramiro D. Camino , Christian A. Hammerschmidt , Radu State

We consider the problem of estimating a time-varying sparse precision matrix, which is assumed to evolve in a piece-wise constant manner. Building upon the Group Fused LASSO and LASSO penalty functions, we estimate both the network…

Statistics Theory · Mathematics 2024-10-08 Ying Lin , Benjamin Poignard , Ting Kei Pong , Akiko Takeda

Achieving faster execution with shorter compilation time can enable further diversity and innovation in neural networks. However, the current paradigm of executing neural networks either relies on hand-optimized libraries, traditional…

Machine Learning · Computer Science 2019-05-31 Byung Hoon Ahn , Prannoy Pilligundla , Hadi Esmaeilzadeh

The variation in DNA copy number carries information on the modalities of genome evolution and misregulation of DNA replication in cancer cells; its study can be helpful to localize tumor suppressor genes, distinguish different populations…

Methodology · Statistics 2012-03-20 Zhongyang Zhang , Kenneth Lange , Chiara Sabatti

The identification of multivariable state space models in innovation form is solved in a subspace identification framework using convex nuclear norm optimization. The convex optimization approach allows to include constraints on the unknown…

Systems and Control · Computer Science 2016-12-15 Michel Verhaegen , Anders Hansson
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