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We present a novel iterative algorithm for approximating the linear least squares solution with low complexity. After a motivation of the algorithm we discuss the algorithm's properties including its complexity, and we present theoretical…

Data Structures and Algorithms · Computer Science 2016-11-15 Michael Lunglmayr , Christoph Unterrieder , Mario Huemer

This paper shows that a long chain of perceptrons (that is, a multilayer perceptron, or MLP, with many hidden layers of width one) can be a universal classifier. The classification procedure is not necessarily computationally efficient, but…

Neural and Evolutionary Computing · Computer Science 2017-07-11 Raul Rojas

This paper deals with the implementation of Least Mean Square (LMS) algorithm in Decision Feedback Equalizer (DFE) for removal of Inter Symbol Interference (ISI) at the receiver. The channel disrupts the transmitted signal by spreading it…

Artificial Intelligence · Computer Science 2012-08-13 Mohammad Havaei , Nandivada Krishna Prasad , Velleshala Sudheer

Deep Neural Networks (DNNs) have become very popular for prediction in many areas. Their strength is in representation with a high number of parameters that are commonly learned via gradient descent or similar optimization methods. However,…

Machine Learning · Statistics 2016-10-11 Anthony Caterini , Dong Eui Chang

In this article we present new results on neural networks with linear threshold activation functions. We precisely characterize the class of functions that are representable by such neural networks and show that 2 hidden layers are…

Machine Learning · Computer Science 2023-10-20 Sammy Khalife , Hongyu Cheng , Amitabh Basu

A main puzzle of deep neural networks (DNNs) revolves around the apparent absence of "overfitting", defined in this paper as follows: the expected error does not get worse when increasing the number of neurons or of iterations of gradient…

Machine Learning · Computer Science 2018-07-02 Tomaso Poggio , Qianli Liao , Brando Miranda , Andrzej Banburski , Xavier Boix , Jack Hidary

Multiplicative noise widely exists in radar images, medical images and other important fields' images. Compared to normal noises, multiplicative noise has a generally stronger effect on the visual expression of images. Aiming at the…

Image and Video Processing · Electrical Eng. & Systems 2026-04-14 Xiao Siyao , Huang Libing , Zhang Shunsheng

Neural networks (NNs) achieve outstanding performance in many domains; however, their decision processes are often opaque and their inference can be computationally expensive in resource-constrained environments. We recently proposed…

Machine Learning · Computer Science 2025-05-30 Chang Yue , Niraj K. Jha

Classifiers that are linear in their parameters, and trained by optimizing a convex loss function, have predictable behavior with respect to changes in the training data, initial conditions, and optimization. Such desirable properties are…

Machine Learning · Computer Science 2020-12-22 Alessandro Achille , Aditya Golatkar , Avinash Ravichandran , Marzia Polito , Stefano Soatto

Innovation in the physical layer of communication systems has traditionally been achieved by breaking down the transceivers into sets of processing blocks, each optimized independently based on mathematical models. Conversely, deep learning…

Information Theory · Computer Science 2022-05-04 Mathieu Goutay

Partial least squares regression (PLSR) has been a popular technique to explore the linear relationship between two datasets. However, most of algorithm implementations of PLSR may only achieve a suboptimal solution through an optimization…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Haoran Chen , Yanfeng Sun , Junbin Gao , Yongli Hu , Baocai Yin

With the advancement in computing power over last decades, deep neural networks (DNN), consisting of two or more hidden layers with large number of nodes, are being suggested as an alternate to commonly used single-hidden-layer neural…

Neural and Evolutionary Computing · Computer Science 2019-10-10 Mahesh Pal

Deep Neural Networks (DNNs) have become the de-facto standard in computer vision, as well as in many other pattern recognition tasks. A key drawback of DNNs is that the training phase can be very computationally expensive. Organizations or…

Computer Vision and Pattern Recognition · Computer Science 2021-01-08 Debesh Jha , Anis Yazidi , Michael A. Riegler , Dag Johansen , Håvard D. Johansen , Pål Halvorsen

We analyze a simple prefiltered variation of the least squares estimator for the problem of estimation with biased, semi-parametric noise, an error model studied more broadly in causal statistics and active learning. We prove an oracle…

Machine Learning · Computer Science 2019-02-05 Max Simchowitz , Ross Boczar , Benjamin Recht

We introduce a new class of non-linear models for functional data based on neural networks. Deep learning has been very successful in non-linear modeling, but there has been little work done in the functional data setting. We propose two…

Machine Learning · Computer Science 2023-05-11 Aniruddha Rajendra Rao , Matthew Reimherr

Point set is a flexible and lightweight representation widely used for 3D deep learning. However, their discrete nature prevents them from representing continuous and fine geometry, posing a major issue for learning-based shape generation.…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Shi-Lin Liu , Hao-Xiang Guo , Hao Pan , Peng-Shuai Wang , Xin Tong , Yang Liu

In this paper, we propose a special fusion method for combining ensembles of base classifiers utilizing new neural networks in order to improve overall efficiency of classification. While ensembles are designed such that each classifier is…

Machine Learning · Computer Science 2009-12-08 Mehdi Salkhordeh Haghighi , Hadi Sadoghi Yazdi , Abedin Vahedian , Hamed Modaghegh

Deep-learning models such as Convolutional Neural Networks (CNN) and Long Short-Term Memory (LSTM) have been successfully used for process-mining tasks. They have achieved better performance for different predictive tasks than traditional…

Machine Learning · Computer Science 2021-05-04 Ishwar Venugopal , Jessica Töllich , Michael Fairbank , Ansgar Scherp

In conventional formulations of multilayer feedforward neural networks, the individual layers are customarily defined by explicit functions. In this paper we demonstrate that defining individual layers in a neural network \emph{implicitly}…

Computer Vision and Pattern Recognition · Computer Science 2020-06-04 Qianggong Zhang , Yanyang Gu , Michalkiewicz Mateusz , Mahsa Baktashmotlagh , Anders Eriksson

Large Language Models (LLMs) possess encompassing capabilities that can process diverse language-related tasks. However, finetuning on LLMs will diminish this general skills and continual finetuning will further cause severe degradation on…

Machine Learning · Computer Science 2025-07-09 Kai Tong , Kang Pan , Xiao Zhang , Erli Meng , Run He , Yawen Cui , Nuoyan Guo , Huiping Zhuang
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