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In this work, we propose low-complexity adaptive biased estimation algorithms, called group-based shrinkage estimators (GSEs), for parameter estimation and interference suppression scenarios with mechanisms to automatically adjust the…

Information Theory · Computer Science 2016-11-17 Sheng Li , Rodrigo C. de Lamare , Martin Haardt

Image reconstruction from undersampled k-space data has been playing an important role for fast MRI. Recently, deep learning has demonstrated tremendous success in various fields and also shown potential to significantly speed up MR…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Dong Liang , Jing Cheng , Ziwen Ke , Leslie Ying

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

Methodology · Statistics 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

Training high-quality deep models necessitates vast amounts of data, resulting in overwhelming computational and memory demands. Recently, data pruning, distillation, and coreset selection have been developed to streamline data volume by…

Machine Learning · Computer Science 2024-10-18 Guibin Zhang , Haonan Dong , Yuchen Zhang , Zhixun Li , Dingshuo Chen , Kai Wang , Tianlong Chen , Yuxuan Liang , Dawei Cheng , Kun Wang

In recent years, significant attention in deep learning theory has been devoted to analyzing when models that interpolate their training data can still generalize well to unseen examples. Many insights have been gained from studying models…

Machine Learning · Statistics 2023-10-24 Jacob A. Zavatone-Veth , Cengiz Pehlevan

The mean squared error (MSE) is a ubiquitous loss function for speech enhancement, but its problem is that the error cannot reflect the auditory perception quality. This is because MSE causes models to over-emphasize low-frequency…

Sound · Computer Science 2025-11-11 Zixuan Li , Xueliang Zhang , Changjiang Zhao , Shuai Gao , Lei Miao , Zhipeng Yan , Ying Sun , Chong Zhu

Following the success of deep learning in a wide range of applications, neural network-based machine learning techniques have received interest as a means of accelerating magnetic resonance imaging (MRI). A number of ideas inspired by deep…

Signal Processing · Electrical Eng. & Systems 2019-04-03 Florian Knoll , Kerstin Hammernik , Chi Zhang , Steen Moeller , Thomas Pock , Daniel K. Sodickson , Mehmet Akcakaya

We propose a new sparse estimation method, termed MIC (Minimum approximated Information Criterion), for generalized linear models (GLM) in fixed dimensions. What is essentially involved in MIC is the approximation of the $\ell_0$-norm with…

Methodology · Statistics 2018-07-23 Xiaogang Su , Juanjuan Fan , Richard A. Levine , Martha E. Nunn , Chih-Ling Tsai

In image classification tasks, deep learning models are vulnerable to image distortion. For successful deployment, it is important to identify distortion levels under which the model is usable i.e. its accuracy stays above a stipulated…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Dang Nguyen , Sunil Gupta

Despite impressive performance as evaluated on i.i.d. holdout data, deep neural networks depend heavily on superficial statistics of the training data and are liable to break under distribution shift. For example, subtle changes to the…

Computer Vision and Pattern Recognition · Computer Science 2019-03-18 Haohan Wang , Zexue He , Zachary C. Lipton , Eric P. Xing

In everyday life, photographs taken with a camera often suffer from motion blur due to hand vibrations or sudden movements. This phenomenon can significantly detract from the quality of the images captured, making it an interesting…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Zhengdong Li

Unrolled neural networks emerged recently as an effective model for learning inverse maps appearing in image restoration tasks. However, their generalization risk (i.e., test mean-squared-error) and its link to network design and train…

Machine Learning · Computer Science 2019-06-11 Morteza Mardani , Qingyun Sun , Vardan Papyan , Shreyas Vasanawala , John Pauly , David Donoho

Traditional optimization-based techniques for time-synchronized state estimation (SE) often suffer from high online computational burden, limited phasor measurement unit (PMU) coverage, and presence of non-Gaussian measurement noise.…

Systems and Control · Electrical Eng. & Systems 2025-06-05 Shiva Moshtagh , Behrouz Azimian , Mohammad Golgol , Anamitra Pal

Deep neural networks used for reconstructing sparse-view CT data are typically trained by minimizing a pixel-wise mean-squared error or similar loss function over a set of training images. However, networks trained with such pixel-wise…

Medical Physics · Physics 2024-02-16 Megan Lantz , Emil Y. Sidky , Ingrid S. Reiser , Xiaochuan Pan , Gregory Ongie

Purpose: Many useful image quality metrics for evaluating linear image reconstruction techniques do not apply to or are difficult to interpret for non-linear image reconstruction. The vast majority of metrics employed for evaluating…

Generalized Sliced Inverse Regression (GSIR) is one of the most important methods for nonlinear sufficient dimension reduction. As shown in Li and Song (2017), it enjoys a convergence rate that is independent of the dimension of the…

Statistics Theory · Mathematics 2026-02-19 Chak Fung Choi , Yin Tang , Bing Li

Applications that involve supervised training require paired images. Researchers of single image super-resolution (SISR) create such images by artificially generating blurry input images from the corresponding ground truth. Similarly we can…

Image and Video Processing · Electrical Eng. & Systems 2020-05-15 Nao Takano , Gita Alaghband

Reconstructing a signal on a graph from noisy observations of a subset of the vertices is a fundamental problem in the field of graph signal processing. This paper investigates how sample size affects reconstruction error in the presence of…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Baskaran Sripathmanathan , Xiaowen Dong , Michael Bronstein

The standard regression tree method applied to observations within clusters poses both methodological and implementation challenges. Effectively leveraging these data requires methods that account for both individual-level and sample-level…

Methodology · Statistics 2025-03-05 Jeremiah Allis , Xin Jin , Riddhi Ghosh

Microscopy images often suffer from high levels of noise, which can hinder further analysis and interpretation. Content-aware image restoration (CARE) methods have been proposed to address this issue, but they often require large amounts of…

Image and Video Processing · Electrical Eng. & Systems 2023-03-30 Felix Fuentes-Hurtado , Jean-Baptiste Sibarita , Virgile Viasnoff