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While much research effort has been dedicated to scaling up sparse Gaussian process (GP) models based on inducing variables for big data, little attention is afforded to the other less explored class of low-rank GP approximations that…

Machine Learning · Statistics 2016-11-21 Quang Minh Hoang , Trong Nghia Hoang , Kian Hsiang Low

This paper presents an algorithm for modulation-domain speech enhancement using a Kalman filter. The proposed estimator jointly models the estimated dynamics of the spectral amplitudes of speech and noise to obtain an MMSE estimation of the…

Sound · Computer Science 2018-02-01 Yu Wang , Mike Brookes

We consider minimum variance estimation within the sparse linear Gaussian model (SLGM). A sparse vector is to be estimated from a linearly transformed version embedded in Gaussian noise. Our analysis is based on the theory of reproducing…

Information Theory · Computer Science 2013-04-16 Alexander Jung , Sebastian Schmutzhard , Franz Hlawatsch , Zvika Ben-Haim , Yonina C. Eldar

Upper and lower bounds on the error probability of linear codes under maximum-likelihood (ML) decoding are shortly surveyed and applied to ensembles of codes on graphs. For upper bounds, focus is put on Gallager bounding techniques and…

Information Theory · Computer Science 2007-07-13 Igal Sason , Shlomo Shamai

We leverage proof techniques Fourier analysis and an existing result in coding theory to derive new bounds for the problem of non-interactive simulation of binary random variables. Previous bounds in the literature were derived by applying…

Information Theory · Computer Science 2021-01-26 Lei Yu , Vincent Y. F. Tan

This paper introduces a method for predicting the likely behaviors of continuous nonlinear systems in equilibrium in which the input values can vary. The method uses a parameterized equation model and a lower bound on the input joint…

Systems and Control · Computer Science 2013-04-10 Alexander Yeh

The error coefficient of a linear code is defined as the number of minimum-weight codewords. In an additive white Gaussian noise channel, optimal linear codes with the smallest error coefficients achieve the best possible asymptotic frame…

Information Theory · Computer Science 2025-07-09 Chaofeng Guan , Shitao Li , Gaojun Luo , Zhi Ma , Hong Wang

This paper focuses on an improved Gaussian approximation (GA) based construction of polar codes with successive cancellation (SC) decoding over an additive white Gaussian noise (AWGN) channel. Arikan has proven that polar codes with…

Information Theory · Computer Science 2020-10-08 Hideki Ochiai , Patrick Mitran , H. Vincent Poor

We derive critical noise levels for Gallager codes on asymmetric channels as a function of the input bias and the temperature. Using a statistical mechanics approach we study the space of codewords and the entropy in the various decoding…

Disordered Systems and Neural Networks · Physics 2009-11-13 I. Neri , N. S. Skantzos , D. Bollé

This paper introduces a new and unified bit error rates performance analysis of space-time block codes (STBC) deployed in wireless systems with spatial diversity in generalized shadowed fading and noise scenarios. Specifically, we derive a…

Information Theory · Computer Science 2017-10-12 Ehab Salahat , Ali Hakam , Nazar Ali

State-space models are used in a wide range of time series analysis formulations. Kalman filtering and smoothing are work-horse algorithms in these settings. While classic algorithms assume Gaussian errors to simplify estimation, recent…

Optimization and Control · Mathematics 2018-07-02 Jonathan Jonker , Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto , Sarah Webster

Score-based generative models (SGMs) aim at estimating a target data distribution by learning score functions using only noise-perturbed samples from the target.Recent literature has focused extensively on assessing the error between the…

Statistics Theory · Mathematics 2025-01-28 Stanislas Strasman , Antonio Ocello , Claire Boyer , Sylvain Le Corff , Vincent Lemaire

The Broad Learning System (BLS) has gained significant attention for its computational efficiency and less network parameters compared to deep learning structures. However, the standard BLS relies on the pseudoinverse solution, which…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Zijing Li

To obtain an accurate cosmological inference from upcoming weak lensing surveys such as the one conducted by Euclid, the shear measurement requires calibration using galaxy image simulations. We study the efficiency of different noise…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-17 H. Jansen , M. Tewes , T. Schrabback , N. Aghanim , A. Amara , S. Andreon , N. Auricchio , M. Baldi , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , C. Carbone , V. F. Cardone , J. Carretero , S. Casas , M. Castellano , S. Cavuoti , A. Cimatti , G. Congedo , L. Conversi , Y. Copin , L. Corcione , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , J. Dinis , F. Dubath , X. Dupac , M. Farina , S. Farrens , S. Ferriol , M. Frailis , E. Franceschi , M. Fumana , S. Galeotta , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , S. V. H. Haugan , H. Hoekstra , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , K. Jahnke , B. Joachimi , S. Kermiche , A. Kiessling , M. Kilbinger , T. Kitching , B. Kubik , H. Kurki-Suonio , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , L. Miller , M. Moresco , L. Moscardini , E. Munari , R. Nakajima , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , D. Sapone , B. Sartoris , P. Schneider , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , J. Skottfelt , L. Stanco , P. Tallada-Crespí , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , E. A. Valentijn , L. Valenziano , T. Vassallo , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , J. Zoubian , C. Colodro-Conde , V. Scottez

This paper describes an extension of the BFGS and L-BFGS methods for the minimization of a nonlinear function subject to errors. This work is motivated by applications that contain computational noise, employ low-precision arithmetic, or…

Optimization and Control · Mathematics 2021-09-10 Hao-Jun Michael Shi , Yuchen Xie , Richard Byrd , Jorge Nocedal

We consider the design of identical one-bit probabilistic quantizers for distributed estimation in sensor networks. We assume the parameter-range to be finite and known and use the maximum Cram\'er-Rao Lower Bound (CRB) over the…

Information Theory · Computer Science 2012-06-01 Swarnendu Kar , Hao Chen , Pramod K. Varshney

In this paper we propose novel methodologies to construct Support Vector Machine -based classifiers that takes into account that label noises occur in the training sample. We propose different alternatives based on solving Mixed Integer…

Machine Learning · Computer Science 2020-04-22 Víctor Blanco , Alberto Japón , Justo Puerto

Recently several papers have been published on nonlinear prediction applied to speech coding. At ICASSP98 we presented a system based on an ADPCM scheme with a nonlinear predictor based on a neural net. The most critical parameter was the…

Sound · Computer Science 2022-03-07 Marcos Faundez-Zanuy

In this paper, we derive a novel procedure for set-membership estimation of dynamical systems affected by stochastic noise with unbounded support. Employing a bound on the sample covariance matrix, we are able to provide a finite- sample…

Systems and Control · Electrical Eng. & Systems 2026-05-20 Felix Brändle , Nicolas Chatzikiriakos , Andrea Iannelli , Frank Allgöwer

Proposals have been made to reduce the guesswork of Guessing Random Additive Noise Decoding (GRAND) for binary linear codes by leveraging codebook structure at the expense of degraded block error rate (BLER). We establish one can preserve…

Information Theory · Computer Science 2025-12-18 Lukas Rapp , Muriel Médard , Ken R. Duffy