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In this paper we introduce two new algorithms for stable approximation with and recovery of short cosine sums. The used signal model contains cosine terms with arbitrary real positive frequency parameters and therefore strongly generalizes…

Numerical Analysis · Mathematics 2022-04-08 Nadiia Derevianko , Gerlind Plonka , Raha Razavi

We present an algorithm for resampling a function from its values on a non-Cartesian grid onto a Cartesian grid. This problem arises in many applications such as MRI, CT, radio astronomy and geophysics. Our algorithm, termed SParse Uniform…

Information Theory · Computer Science 2016-03-17 Amir Kiperwas , Daniel Rosenfeld , Yonina C. Eldar

We consider the problem of estimating a low-rank signal matrix from noisy measurements under the assumption that the distribution of the data matrix belongs to an exponential family. In this setting, we derive generalized Stein's unbiased…

Statistics Theory · Mathematics 2017-10-03 Jérémie Bigot , Charles Deledalle , Delphine Féral

Performance of parameter estimation is one of the most important issues in array signal processing. The root mean square error, probability of success, resolution probabilities, and computational complexity are frequently used indexes for…

Signal Processing · Electrical Eng. & Systems 2021-06-30 Kaijie Xu

The System Usability Scale (SUS) is a short, survey-based approach used to determine the usability of a system from an end user perspective once a prototype is available for assessment. Individual scores are gathered using a 10-question…

Methodology · Statistics 2021-01-26 Nicholas Clark , Matthew Dabkowski , Patrick Driscoll , Dereck Kennedy , Ian Kloo , Heidy Shi

Gaussian processes are widely used for accurate emulation of unknown surfaces in sequential design of expensive simulation experiments. Integrated mean squared error (IMSE) is an effective acquisition function for sequential designs based…

Statistics Theory · Mathematics 2026-04-23 Huanyan Zhu , Cheng Li

In the framework of matrix valued observables with low rank means, Stein's unbiased risk estimate (SURE) can be useful for risk estimation and for tuning the amount of shrinkage towards low rank matrices. This was demonstrated by Cand\`es…

Statistics Theory · Mathematics 2017-09-01 Niels Richard Hansen

In this work, we present a novel sampling-based path planning method, called SPRINT. The method finds solutions for high dimensional path planning problems quickly and robustly. Its efficiency comes from minimizing the number of collision…

Robotics · Computer Science 2021-06-02 Daniel Rakita , Bilge Mutlu , Michael Gleicher

Many applications involve estimating the mean of multiple binomial outcomes as a common problem -- assessing intergenerational mobility of census tracts, estimating prevalence of infectious diseases across countries, and measuring…

Econometrics · Economics 2026-01-01 Yan Chen , Lihua Lei

In this article we compare the performances of a logistic regression and a feed forward neural network for credit scoring purposes. Our results show that the logistic regression gives quite good results on the dataset and the neural network…

Statistical Finance · Quantitative Finance 2025-01-23 Matthieu Garcin , Samuel Stephan

We consider the problem of parameter estimation for a system of ordinary differential equations from noisy observations on a solution of the system. In case the system is nonlinear, as it typically is in practical applications, an analytic…

Statistics Theory · Mathematics 2012-07-27 Shota Gugushvili , Chris A. J. Klaassen

The tuning parameter selection strategy for penalized estimation is crucial to identify a model that is both interpretable and predictive. However, popular strategies (e.g., minimizing average squared prediction error via cross-validation)…

Methodology · Statistics 2022-11-10 Julia Holter , Jonathan Stallrich

Early prediction of seizures and timely interventions are vital for improving patients' quality of life. While seizure prediction has been shown in software-based implementations, to enable timely warnings of upcoming seizures, prediction…

Signal Processing · Electrical Eng. & Systems 2024-11-12 Aviral Pandey , Adelson Chua , Ryan Kaveh , Justin Doong , Rikky Muller

Many decision-making processes involve evaluating and then selecting items; examples include scientific peer review, job hiring, school admissions, and investment decisions. The eventual selection is performed by applying rules or…

Computer Science and Game Theory · Computer Science 2025-10-23 Alexander Goldberg , Giulia Fanti , Nihar B. Shah

The compressed sensing (CS) framework leverages the sparsity of MR images to reconstruct from undersampled acquisitions. CS reconstructions involve one or more regularization parameters that weigh sparsity in transform domains against…

Efficient exploration of parameter spaces is crucial to extract physical information about the Epoch of Reionization from various observational probes. To this end, we propose a fast technique based on Gaussian Process Regression (GPR)…

Instrumentation and Methods for Astrophysics · Physics 2023-11-01 Barun Maity , Aseem Paranjape , Tirthankar Roy Choudhury

An important step in building a quantum computer is calibrating experimentally implemented quantum gates to produce operations that are close to ideal unitaries. The calibration step involves estimating the systematic errors in gates and…

Quantum Physics · Physics 2021-10-22 Shelby Kimmel , Guang Hao Low , Theodore J. Yoder

Both theoretical analysis and empirical evidence confirm that the approximate message passing (AMP) algorithm can be interpreted as recursively solving a signal denoising problem: at each AMP iteration, one observes a Gaussian noise…

Information Theory · Computer Science 2015-06-22 Chunli Guo , Mike E. Davies

Magnetic Resonance Imaging (MRI) is a widely utilized diagnostic tool in clinical settings, but its application is limited by the relatively long acquisition time. As a result, fast MRI reconstruction has become a significant area of…

Image and Video Processing · Electrical Eng. & Systems 2025-06-09 Lixuan Rao , Xinlin Zhang , Yiman Huang , Tao Tan , Tong Tong

Parallel imaging with linear predictability takes advantage of information present in multiple receive coils to accurately reconstruct the image with fewer samples. Commonly used algorithms based on linear predictability include GRAPPA and…

Image and Video Processing · Electrical Eng. & Systems 2023-01-19 Alex McManus , Stephen Becker , Nicholas Dwork