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Enhancing noisy speech is an important task to restore its quality and to improve its intelligibility. In traditional non-machine-learning (ML) based approaches the parameters required for noise reduction are estimated blindly from the…

Sound · Computer Science 2018-01-16 Robert Rehr , Timo Gerkmann

In order to make a unified treatment for estimation problems of a very small noise or a very weak signal in a quantum process, we introduce the notion of a low-noise quantum channel with one noise parameter. It is known in several examples…

Quantum Physics · Physics 2010-04-28 Masahiro Hotta , Tokishiro Karasawa , Masanao Ozawa

Signal to Noise Ratio (SNR) is an important index for wireless communications. In CDMA systems, spreading sequences are utilized. This series of papers show the method to derive spreading sequences as the solutions of non-linear…

Information Theory · Computer Science 2016-12-30 Hirofumi Tsuda , Ken Umeno

An improved estimator for the amplitude fnl of local-type non-Gaussianity from the cosmic microwave background (CMB) bispectrum is discussed. The standard estimator is constructed to be optimal in the zero-signal (i.e., Gaussian) limit.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Tristan L. Smith , Daniel Grin , Marc Kamionkowski

The aim of this thesis is to develop a theoretical framework to study parameter estimation of quantum channels. We study the task of estimating unknown parameters encoded in a channel in the sequential setting. A sequential strategy is the…

Quantum Physics · Physics 2022-01-06 Vishal Katariya

Several approximate inference algorithms have been proposed to minimize an alpha-divergence between an approximating distribution and a target distribution. Many of these algorithms introduce bias, the magnitude of which becomes problematic…

Machine Learning · Statistics 2021-10-27 Tomas Geffner , Justin Domke

In recent years, there is a growing need for processing methods aimed at extracting useful information from large datasets. In many cases the challenge is to discover a low-dimensional structure in the data, often concealed by the existence…

Statistics Theory · Mathematics 2019-06-05 Yariv Aizenbud , Boris Landa , Yoel Shkolnisky

A brain computer interface (BCI) is a system which provides direct communication between the mind of a person and the outside world by using only brain activity (EEG). The event-related potential (ERP)-based BCI problem consists of a binary…

Computer Vision and Pattern Recognition · Computer Science 2016-08-25 Victoria Peterson , Hugo Leonardo Rufiner , Ruben Daniel Spies

Nonlinear sparse sensing (NSS) techniques have been adopted for realizing compressive sensing in many applications such as Radar imaging. Unlike the NSS, in this paper, we propose an adaptive sparse sensing (ASS) approach using reweighted…

Information Theory · Computer Science 2015-06-18 Guan Gui , Li Xu , Fumiyuki Adachi

Linear discriminant analysis (LDA) based classifiers tend to falter in many practical settings where the training data size is smaller than, or comparable to, the number of features. As a remedy, different regularized LDA (RLDA) methods…

Machine Learning · Computer Science 2021-03-30 Alam Zaib , Tarig Ballal , Shahid Khattak , Tareq Y. Al-Naffouri

In this paper, an approximation recursive formula of the mean-square error lower bound for the discrete-time nonlinear filtering problem when noises of dynamic systems are temporally correlated is derived based on the Van Trees (posterior)…

Dynamical Systems · Mathematics 2015-04-28 Zhiguo Wang , Xiaojing Shen

In Pulsar Timing Array (PTA) data analysis, noise is typically assumed to be Gaussian, and the marginalized likelihood has a well-established analytical form derived within the framework of Gaussian processes. However, this Gaussianity…

Instrumentation and Methods for Astrophysics · Physics 2026-01-30 Mikel Falxa , Alberto Sesana

Policy-gradient methods are widely used in reinforcement learning, yet training often becomes unstable or slows down as learning progresses. We study this phenomenon through the noise-to-signal ratio (NSR) of a policy-gradient estimator,…

Optimization and Control · Mathematics 2026-02-10 Haoyu Han , Heng Yang

Analytical phase demodulation algorithms in optical interferometry typically fail to reach the theoretical sensitivity limit set by the Cram\'er-Rao bound (CRB). We show that deep neural networks (DNNs) can perform efficient phase…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Jacob Black , Shichao Chen , Joseph G. Thomas , Yizheng Zhu

Currently, the sub-60 Hz sensitivity of gravitational-wave (GW) detectors like Advanced LIGO is limited by the control noises from auxiliary degrees of freedom, which nonlinearly couple to the main GW readout. One particularly promising way…

Instrumentation and Methods for Astrophysics · Physics 2021-11-08 Hang Yu , Rana X. Adhikari

We present a novel solution for Channel Assignment Problem (CAP) in Device-to-Device (D2D) wireless networks that takes into account the throughput estimation noise. CAP is known to be NP-hard in the literature and there is no practical…

Networking and Internet Architecture · Computer Science 2017-01-18 Mohd. Shabbir Ali , Pierre Coucheney , Marceau Coupechoux

This paper proposes novel spectrum sensing algorithms for cognitive radio networks. By assuming known transmitter pulse shaping filter, synchronous and asynchronous receiver scenarios have been considered. For each of these scenarios, the…

Optimization and Control · Mathematics 2013-12-31 Tadilo Endeshaw Bogale , Luc Vandendorpe

Purpose: We address the challenge of inaccurate parameter estimation in diffusion MRI when the signal-to-noise ratio (SNR) is very low, as in the spinal cord. The accuracy of conventional maximum-likelihood estimation (MLE) depends highly…

In this paper we suggest a new algorithm for determination of signal-to-noise ratio (SNR). SNR is a quantitative measure widely used in science and engineering. Generally, methods for determination of SNR are based on using of…

Data Analysis, Statistics and Probability · Physics 2016-09-30 Z. Zh. Zhanabaev , S. N. Akhtanov , E. T. Kozhagulov , B. A Karibayev

We study the performance of estimators of a sparse nonrandom vector based on an observation which is linearly transformed and corrupted by additive white Gaussian noise. Using the reproducing kernel Hilbert space framework, we derive a new…

Statistics Theory · Mathematics 2010-09-20 Sebastian Schmutzhard , Alexander Jung , Franz Hlawatsch , Zvika Ben-Haim , Yonina C. Eldar