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We theoretically analyze the Feedback Alignment (FA) algorithm, an efficient alternative to backpropagation for training neural networks. We provide convergence guarantees with rates for deep linear networks for both continuous and discrete…

Machine Learning · Computer Science 2021-10-22 Manuela Girotti , Ioannis Mitliagkas , Gauthier Gidel

Real-image super-resolution (Real-ISR) seeks to recover HR images from LR inputs with mixed, unknown degradations. While diffusion models surpass GANs in perceptual quality, they under-reconstruct high-frequency (HF) details due to a…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Seungho Choi , Jeahun Sung , Jihyong Oh

Variations in the Faraday rotation measure (RM) of repeating fast radio bursts (FRBs) provide critical diagnostics of the dynamically evolving magneto-ionic environments surrounding their progenitors. Sudden, transient ``RM flares'' can…

High Energy Astrophysical Phenomena · Physics 2026-05-28 Yuan-Pei Yang , Boyang Liu

Linear time series modelling is dominated by the use of purely autoregressive models even though incorporating moving average components can greatly improve parsimony. We present a convex formulation for vector-ARMA system identification…

Systems and Control · Electrical Eng. & Systems 2022-12-01 Alex Nguyen-Le , Victor M. Preciado

A modified gamma kernel should not be automatically preferred to the standard gamma kernel, especially for univariate convex densities with a pole at the origin. In the multivariate case, multiple combined gamma kernels, defined as a…

Statistics Theory · Mathematics 2024-04-12 Sobom M. Somé , Célestin C. Kokonendji , Smail Adjabi , Naushad A. Mamode Khan , Said Beddek

Accurately modeling the inspiral-merger-ringdown (IMR) signal of coalescing compact objects is essential for the test of general relativity. However, it is known that astrophysical environments can distort gravitational-wave (GW) signal…

High Energy Astrophysical Phenomena · Physics 2026-04-02 Xinmiao Zhao , Han Yan , Xian Chen

Large pre-trained models, such as large language models (LLMs), present significant resource challenges for fine-tuning due to their extensive parameter sizes, especially for applications in mobile systems. To address this, Low-Rank…

Machine Learning · Computer Science 2024-07-18 Yuzhu Mao , Siqi Ping , Zihao Zhao , Yang Liu , Wenbo Ding

The laser-interferometer space antenna (LISA) will be launched in the mid 2030s. It promises to observe the coalescence of massive black-hole (BH) binaries with signal-to-noise ratios (SNRs) reaching thousands. Crucially, it will detect…

General Relativity and Quantum Cosmology · Physics 2024-11-20 Alexandre Toubiana , Lorenzo Pompili , Alessandra Buonanno , Jonathan R. Gair , Michael L. Katz

Accurate spectral analysis of high-energy astrophysical sources often relies on comparing observed data to incident spectral models convolved with the instrument response. However, for Gamma-Ray Bursts and other high-energy transient events…

Low-rank matrix approximation is one of the central concepts in machine learning, with applications in dimension reduction, de-noising, multivariate statistical methodology, and many more. A recent extension to LRMA is called low-rank…

Machine Learning · Statistics 2021-09-24 Elena Tuzhilina , Trevor Hastie

We consider the problem of estimating a signal from noisy circularly-translated versions of itself, called multireference alignment (MRA). One natural approach to MRA could be to estimate the shifts of the observations first, and infer the…

Information Theory · Computer Science 2018-02-14 Tamir Bendory , Nicolas Boumal , Chao Ma , Zhizhen Zhao , Amit Singer

Accurate and reliable Magnetic Resonance Imaging (MRI) analysis is particularly important for adaptive radiotherapy, a recent medical advance capable of improving cancer diagnosis and treatment. Recent studies have shown that IVIM-NET, a…

Hardware Architecture · Computer Science 2024-07-09 Zehuan Zhang , Matej Genci , Hongxiang Fan , Andreas Wetscherek , Wayne Luk

The rapid adoption of synthetic data for training Large Language Models (LLMs) has introduced the technical challenge of "model collapse"-a degenerative process where recursive training on model-generated content leads to a contraction of…

Machine Learning · Computer Science 2026-03-24 Yi Gu , Lingyou Pang , Xiangkun Ye , Tianyu Wang , Jianyu Lin , Carey E. Priebe , Alexander Aue

We introduce an automated tool for deploying ultra low-latency, low-power deep neural networks with convolutional layers on FPGAs. By extending the hls4ml library, we demonstrate an inference latency of $5\,\mu$s using convolutional…

Deep neural networks are often not robust to semantically-irrelevant changes in the input. In this work we address the issue of robustness of state-of-the-art deep convolutional neural networks (CNNs) against commonly occurring distortions…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Nikhil Kapoor , Chun Yuan , Jonas Löhdefink , Roland Zimmermann , Serin Varghese , Fabian Hüger , Nico Schmidt , Peter Schlicht , Tim Fingscheidt

To compress deep convolutional neural networks (CNNs) with large memory footprint and long inference time, this paper proposes a novel pruning criterion using layer-wised Ln-norm of feature maps. Different from existing pruning criteria,…

Neural and Evolutionary Computing · Computer Science 2018-12-11 Wei Wang , Liqiang Zhu

In this article we introduce Line Smoothness-Increasing Accuracy-Conserving Multi-Resolution Analysis\linebreak (LSIAC-MRA). This is a procedure for exploiting convolution kernel post-processors for obtaining more accurate multi-dimensional…

Numerical Analysis · Mathematics 2022-03-11 Matthew J. Picklo , Jennifer K. Ryan

Observations of gravitational-wave signals emitted by compact binary inspirals provide unique insights into their properties, but their analysis requires accurate and efficient waveform models. Intermediate- and extreme-mass-ratio inspirals…

Various Graph Neural Networks (GNNs) have been successful in analyzing data in non-Euclidean spaces, however, they have limitations such as oversmoothing, i.e., information becomes excessively averaged as the number of hidden layers…

Machine Learning · Computer Science 2024-01-23 Jaeyoon Sim , Sooyeon Jeon , InJun Choi , Guorong Wu , Won Hwa Kim

Linear classifiers with random convolution kernels are computationally efficient methods that need no design or domain knowledge. Unlike deep neural networks, there is no need to hand-craft a network architecture; the kernels are randomly…

Signal Processing · Electrical Eng. & Systems 2021-08-05 Christopher Lundy , John M. O'Toole