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We consider the problem of low probability estimation: given a machine learning model and a formally-specified input distribution, how can we estimate the probability of a binary property of the model's output, even when that probability is…

Machine Learning · Computer Science 2025-02-07 Gabriel Wu , Jacob Hilton

We propose a novel approach to parameter estimation for simulator-based statistical models with intractable likelihood. Our proposed method involves recursive application of kernel ABC and kernel herding to the same observed data. We…

Machine Learning · Statistics 2018-06-13 Takafumi Kajihara , Motonobu Kanagawa , Keisuke Yamazaki , Kenji Fukumizu

Speckled images of a binary broad band light source (600-670 nm), generated by randomized reflections or transmissions, were used to reconstruct a binary image by use of multi-frame blind deconvolution algorithms. Craft store glitter was…

Instrumentation and Methods for Astrophysics · Physics 2016-01-05 Xiaopeng Peng , Garreth J. Ruane , Grover A. Swartzlander

For the first time the problem of the full solution for the calculation of the power spectrum density of the random pulse train is solved. This well known problem led to a mistaken publication in the past and even its partial solution was…

Information Theory · Computer Science 2015-03-05 Sander Stepanov , Anastasios Venetsanopoulos

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

Machine Learning · Statistics 2024-02-20 Amanda Lenzi , Haavard Rue

We consider multi-antenna cooperative spectrum sensing in cognitive radio networks, when there may be multiple primary users. A detector based on the spherical test is analyzed in such a scenario. Based on the moments of the distributions…

Information Theory · Computer Science 2016-11-18 Lu Wei , Olav Tirkkonen

In this paper, a novel method to estimate dynamic load parameters via ambient PMU measurements is proposed. Unlike conventional parameter identification methods, the proposed algorithm does not require the existence of large disturbance to…

Systems and Control · Computer Science 2017-03-10 Xiaozhe Wang

To combine information from measurements of the redshift-space power spectrum from spectroscopic data with angular weak lensing, galaxy clustering and galaxy-galaxy lensing power spectra from photometric surveys (i.e. the $3 \times 2$ point…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 Peter L. Taylor , Katarina Markovič

The wavelength calibration of spectrographs is an essential but challenging task in many disciplines. Calibration is traditionally accomplished by imaging the spectrum of a light source containing features that are known to appear at…

Instrumentation and Methods for Astrophysics · Physics 2018-04-04 Neil Thomas

We propose two algorithms that use both models and datasets to estimate angular power spectra from channel covariance matrices in massive MIMO systems. The first algorithm is an iterative fixed-point method that solves a hierarchical…

Signal Processing · Electrical Eng. & Systems 2020-12-11 Renato Luis Garrido Cavalcante , Slawomir Stanczak

A number of problems in computer vision and related fields would be mitigated if camera spectral sensitivities were known. As consumer cameras are not designed for high-precision visual tasks, manufacturers do not disclose spectral…

Image and Video Processing · Electrical Eng. & Systems 2023-07-13 Grigory Solomatov , Derya Akkaynak

Parameter estimation of binary-black-hole merger events in gravitational-wave data relies on matched-filtering techniques, which, in turn, depend on accurate model waveforms. Here we characterize the systematic biases introduced in…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Tyson B. Littenberg , John G. Baker , Alessandra Buonanno , Bernard J. Kelly

A sequential measurement of two non-commuting quantum observables results in a joint probability distribution for all output combinations that can be explained in terms of an initial joint quasi-probability of the non-commuting observables,…

Quantum Physics · Physics 2016-10-27 Yutaro Suzuki , Masataka Iinuma , Holger F. Hofmann

We introduce a new method for the estimation of the angular parameters [i.e., central directions of arrival (DOAs) and angular spreads] of multiple non-circular and incoherently-distributed (ID) sources and thoroughly analyze its…

Signal Processing · Electrical Eng. & Systems 2019-01-07 Sonia Ben Hassen , Faouzi Bellili , Abdelaziz Samet , Sofiène Affes

In this paper, we consider the problem of approximating the spectral distribution for a class of random operators over sofic groups. For this purpose, we make use of the concept of locally and empirically converging measures defined by…

Spectral Theory · Mathematics 2026-03-03 Miguel Donoso-Echenique , Felix Pogorzelski , Michael Schrödl-Baumann

This paper proposes a spectrum sensing algorithm from one bit measurements in a cognitive radio sensor network. A likelihood ratio test (LRT) for the one bit spectrum sensing problem is derived. Different from the one bit spectrum sensing…

Signal Processing · Electrical Eng. & Systems 2019-03-26 Hadi Zayyani , Farzan Haddadi , Mehdi Korki

The integration of data from multiple sources is increasingly used to achieve larger sample sizes and enhance population diversity. Our previous work established that, under random sampling from the same underlying population, integrating…

Methodology · Statistics 2026-01-01 Farimah Shamsi , Andriy Derkach

We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those…

Information Theory · Computer Science 2007-07-13 Nan Liu , Sennur Ulukus

It is a common contention that it is an ``impossible mission'' to exactly determine the minimum sample size for the estimation of a binomial parameter with prescribed margin of error and confidence level. In this paper, we investigate such…

Statistics Theory · Mathematics 2007-08-02 Xinjia Chen

The identification of increasingly smaller signal from objects observed with a non-perfect instrument in a noisy environment poses a challenge for a statistically clean data analysis. We want to compute the probability of frequencies…

Astrophysics · Physics 2010-06-29 P. Reegen , M. Gruberbauer , L. Schneider , W. W. Weiss