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The research about deep learning application for physical layer has been received much attention in recent years. In this paper, we propose a Deep Learning (DL) based channel estimator under time varying Rayleigh fading channel. We build…

Signal Processing · Electrical Eng. & Systems 2019-08-30 Qinbo Bai , Jintao Wang , Yue Zhang , Jian Song

We analyze the problem of estimating a signal from multiple measurements on a $\mbox{group action channel}$ that linearly transforms a signal by a random group action followed by a fixed projection and additive Gaussian noise. This channel…

Information Theory · Computer Science 2018-01-16 Emmanuel Abbe , João M. Pereira , Amit Singer

We show experimentally that the accuracy of a trained neural network can be predicted surprisingly well by looking only at its weights, without evaluating it on input data. We motivate this task and introduce a formal setting for it. Even…

Machine Learning · Statistics 2021-04-12 Thomas Unterthiner , Daniel Keysers , Sylvain Gelly , Olivier Bousquet , Ilya Tolstikhin

We propose an abstract framework for analyzing the convergence of least-squares methods based on residual minimization when feasible solutions are neural networks. With the norm relations and compactness arguments, we derive error estimates…

Numerical Analysis · Mathematics 2023-10-04 Yeonjong Shin , Zhongqiang Zhang , George Em Karniadakis

Magnetoencephalography (MEG) and Electroencephalography (EEG) source estimates have thus far mostly been derived sample by sample, i.e., independent of each other in time. However, neuronal assemblies are heavily interconnected,…

Quantitative Methods · Quantitative Biology 2019-09-09 Christoph Dinh , John GW Samuelsson , Alexander Hunold , Matti S Hämäläinen , Sheraz Khan

Simulation-Grounded Neural Networks (SGNNs) are predictive models trained entirely on synthetic data from mechanistic simulations. They have achieved state-of-the-art performance in domains where real-world labels are limited or unobserved,…

Machine Learning · Computer Science 2025-10-03 Carson Dudley , Marisa Eisenberg

In cognitive radio networks, the channel gain between primary transceivers, namely, primary channel gain, is crucial for a cognitive transmitter (CT) to control the transmit power and achieve spectrum sharing. Conventionally, the primary…

Information Theory · Computer Science 2016-11-29 Lin Zhang , Guodong Zhao , Wenli Zhou , Liying Li , Gang Wu , Ying-Chang Liang , Shaoqian Li

In this paper, we propose a joint pilot design and channel estimation scheme based on the deep learning (DL) technique for multiuser multiple-input multiple output (MIMO) channels. To this end, we construct a pilot designer using two-layer…

Information Theory · Computer Science 2018-12-12 Chang-Jae Chun , Jae-Mo Kang , Il-Min Kim

Downlink beamforming is a key technology for cellular networks. However, computing the transmit beamformer that maximizes the weighted sum rate subject to a power constraint is an NP-hard problem. As a result, iterative algorithms that…

Signal Processing · Electrical Eng. & Systems 2020-06-16 Lissy Pellaco , Mats Bengtsson , Joakim Jaldén

In this article, a study of the mean-square error (MSE) performance of linear echo-state neural networks is performed, both for training and testing tasks. Considering the realistic setting of noise present at the network nodes, we derive…

Machine Learning · Computer Science 2016-03-28 Romain Couillet , Gilles Wainrib , Harry Sevi , Hafiz Tiomoko Ali

Downlink beamforming is an essential technology for wireless cellular networks; however, the design of beamforming vectors that maximize the weighted sum rate (WSR) is an NP-hard problem and iterative algorithms are typically applied to…

Signal Processing · Electrical Eng. & Systems 2022-06-28 Jingyuan Xia , Gunduz Deniz

In transfer learning, the learner leverages auxiliary data to improve generalization on a main task. However, the precise theoretical understanding of when and how auxiliary data help remains incomplete. We provide new insights on this…

Machine Learning · Computer Science 2026-03-31 Meitong Liu , Christopher Jung , Rui Li , Xue Feng , Han Zhao

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

We present two reduced-rank channel estimators for large-scale multiple-input, multiple-output (MIMO) systems and analyze their mean square error (MSE) performance. Taking advantage of the channel's transform domain sparseness, the…

Information Theory · Computer Science 2016-09-09 Ko-Feng Chen , Yen-Cheng Liu , Yu T. Su

One of the main challenges in high-speed mobile communications is the presence of large Doppler spreads. Thus, accurate estimation of maximum Doppler spread (MDS) plays an important role in improving the performance of the communication…

Signal Processing · Electrical Eng. & Systems 2018-02-12 Mostafa Mohammadkarimi , Ebrahim Karami , Octavia A. Dobre , Moe Z. Win

Feed-forward neural networks can be understood as a combination of an intermediate representation and a linear hypothesis. While most previous works aim to diversify the representations, we explore the complementary direction by performing…

Machine Learning · Computer Science 2019-10-24 Han Zhao , Yao-Hung Hubert Tsai , Ruslan Salakhutdinov , Geoffrey J. Gordon

We propose to explain the predictions of a deep neural network, by pointing to the set of what we call representer points in the training set, for a given test point prediction. Specifically, we show that we can decompose the pre-activation…

Machine Learning · Computer Science 2018-11-27 Chih-Kuan Yeh , Joon Sik Kim , Ian E. H. Yen , Pradeep Ravikumar

Symbol detection for Massive Multiple-Input Multiple-Output (MIMO) is a challenging problem for which traditional algorithms are either impractical or suffer from performance limitations. Several recently proposed learning-based approaches…

Signal Processing · Electrical Eng. & Systems 2019-06-12 Mehrdad Khani , Mohammad Alizadeh , Jakob Hoydis , Phil Fleming

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

We consider the estimation of a scalar parameter, when two estimators are available. The first is always consistent. The second is inconsistent in general, but has a smaller asymptotic variance than the first, and may be consistent if an…

Statistics Theory · Mathematics 2020-06-29 Clément de Chaisemartin , Xavier D'Haultfœuille
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