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The purpose of this article is to develop a general parametric estimation theory that allows the derivation of the limit distribution of estimators in non-regular models where the true parameter value may lie on the boundary of the…

Statistics Theory · Mathematics 2022-11-28 Junichiro Yoshida , Nakahiro Yoshida

It is a common phenomenon that for high-dimensional and nonparametric statistical models, rate-optimal estimators balance squared bias and variance. Although this balancing is widely observed, little is known whether methods exist that…

Statistics Theory · Mathematics 2023-03-21 Alexis Derumigny , Johannes Schmidt-Hieber

This paper presents the concept of "model-based neural network"(MNN), which is inspired by the classic artificial neural network (ANN) but for different usages. Instead of being used as a data-driven classifier, a MNN serves as a modeling…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Yi Jiang , Tianyi Zhang , Wei Zhang

In deep learning, fine-grained N:M sparsity reduces the data footprint and bandwidth of a General Matrix multiply (GEMM) up to x2, and doubles throughput by skipping computation of zero values. So far, it was mainly only used to prune…

Machine Learning · Computer Science 2024-06-11 Brian Chmiel , Itay Hubara , Ron Banner , Daniel Soudry

Efficient estimation of wideband spectrum is of great importance for applications such as cognitive radio. Recently, sub-Nyquist sampling schemes based on compressed sensing have been proposed to greatly reduce the sampling rate. However,…

Signal Processing · Electrical Eng. & Systems 2018-05-23 Haoyu Fu , Yuejie Chi

We compare the potential of neural network (NN)-based channel estimation with classical linear minimum mean square error (LMMSE)-based estimators, also known as Wiener filtering. For this, we propose a low-complexity recurrent neural…

Objective: Convolutional neural networks (CNNs) have demonstrated promise in automated cardiac magnetic resonance image segmentation. However, when using CNNs in a large real-world dataset, it is important to quantify segmentation…

Image and Video Processing · Electrical Eng. & Systems 2023-01-02 Matthew Ng , Fumin Guo , Labonny Biswas , Steffen E. Petersen , Stefan K. Piechnik , Stefan Neubauer , Graham Wright

Barren plateaus, which means the training gradients become extremely small, pose a major challenge in optimizing parameterized quantum circuits, often making the learning process impractically slow or stall. This work shows why using neural…

Quantum Physics · Physics 2025-12-03 Zhehao Yi , Rahul Bhadani

In recent years, deep convolutional neural networks (CNNs) have shown record-shattering performance in a variety of computer vision problems, such as visual object recognition, detection and segmentation. These methods have also been…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Jose Bernal , Kaisar Kushibar , Daniel S. Asfaw , Sergi Valverde , Arnau Oliver , Robert Martí , Xavier Lladó

We study the properties of nonparametric least squares regression using deep neural networks. We derive non-asymptotic upper bounds for the prediction error of the empirical risk minimizer of feedforward deep neural regression. Our error…

Statistics Theory · Mathematics 2023-01-18 Yuling Jiao , Guohao Shen , Yuanyuan Lin , Jian Huang

This paper presents an implementation of multilayer feed forward neural networks (NN) to optimize CMOS analog circuits. For modeling and design recently neural network computational modules have got acceptance as an unorthodox and useful…

Neural and Evolutionary Computing · Computer Science 2012-12-13 Mriganka Chakraborty

Convolutional Neural Networks (CNNs) have proven to be a powerful state-of-the-art method for image classification tasks. One drawback however is the high computational complexity and high memory consumption of CNNs which makes them…

Computer Vision and Pattern Recognition · Computer Science 2021-02-04 Rishabh Goyal , Joaquin Vanschoren , Victor van Acht , Stephan Nijssen

Small generalization errors of over-parameterized neural networks (NNs) can be partially explained by the frequency biasing phenomenon, where gradient-based algorithms minimize the low-frequency misfit before reducing the high-frequency…

Machine Learning · Computer Science 2022-09-27 Annan Yu , Yunan Yang , Alex Townsend

Recurrent neural networks (RNNs) are a class of neural networks used in sequential tasks. However, in general, RNNs have a large number of parameters and involve enormous computational costs by repeating the recurrent structures in many…

Machine Learning · Statistics 2024-03-25 Takashi Furuya , Kazuma Suetake , Koichi Taniguchi , Hiroyuki Kusumoto , Ryuji Saiin , Tomohiro Daimon

In modern radar systems, precise target localization using azimuth and velocity estimation is paramount. Traditional unbiased estimation methods have utilized gradient descent algorithms to reach the theoretical limits of the Cramer Rao…

Signal Processing · Electrical Eng. & Systems 2024-04-24 Shyam Venkatasubramanian , Sandeep Gogineni , Bosung Kang , Muralidhar Rangaswamy

As deep neural networks (DNNs) achieve tremendous success across many application domains, researchers tried to explore in many aspects on why they generalize well. In this paper, we provide a novel perspective on these issues using the…

Machine Learning · Computer Science 2020-02-25 Jinlong Liu , Guoqing Jiang , Yunzhi Bai , Ting Chen , Huayan Wang

We investigate the performance of distributed least-mean square (LMS) algorithms for parameter estimation over sensor networks where the regression data of each node are corrupted by white measurement noise. Under this condition, we show…

Systems and Control · Computer Science 2016-11-18 Reza Abdolee , Benoit Champagne

In the wake of the explosive growth in smartphones and cyberphysical systems, there has been an accelerating shift in how data is generated away from centralised data towards on-device generated data. In response, machine learning…

Machine Learning · Computer Science 2021-12-09 Ross Drummond , Mathew C. Turner , Stephen R. Duncan

Purpose: The clinical feasibility and translation of many advanced quantitative MRI (qMRI) techniques are inhibited by their restriction to 'research mode', due to resource-intensive, offline parameter estimation. This work aimed to achieve…

Using a statistical model-based data generation, we develop an experimental setup for the evaluation of neural networks (NNs). The setup helps to benchmark a set of NNs vis-a-vis minimum-mean-square-error (MMSE) performance bounds. This…

Machine Learning · Computer Science 2020-11-19 Sandipan Das , Prakash B. Gohain , Alireza M. Javid , Yonina C. Eldar , Saikat Chatterjee