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2018
IEEE Signal Processing Letters
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Gong 1246 Bayesian Information Criterion for Signed Measurements With Application to Sinusoidal Signals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
Copyright and Reprint Permissions: Abstracting is permitted with credit to the source. ...
doi:10.1109/lsp.2018.2849908
fatcat:2px2zvkxxndtbnm7uukq4zkw5a
Sinusoidal Parameter Estimation from Signed Measurements via Majorization-Minimization Based RELAX
[article]
2021
arXiv
pre-print
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We consider the problem of sinusoidal parameter estimation using signed observations obtained via one-bit sampling with fixed as well as time-varying thresholds. ...
In a previous paper, a relaxation-based algorithm, referred to as 1bRELAX, has been proposed to iteratively maximize the likelihood function. ...
Determining the Number of Sinusoids To determine the number of sinusoids, i.e., the model order K, from signed measurements, we will use the one-bit Bayesian information criterion (1bBIC) with 1bMMRELAX ...
arXiv:2103.11500v1
fatcat:3wsd3qk32fez7gjqzq7i6qsjke
Bayesian modeling of source confusion in LISA data
2005
Physical Review D
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The method does not require a stopping criterion to determine the number of signals, and produces results which compare very favorably with classical spectral techniques. ...
We introduce the basis of a Bayesian method that we believe can address this challenge, and demonstrate its effectiveness on a simplified problem involving one hundred synthetic sinusoidal signals in noise ...
Other large sample approximations to the Bayes factors such as the Bayesian Information Criterion, also referred to as Schwarz Criterion, and the related penalized likelihood ratio model choice criterion ...
doi:10.1103/physrevd.72.022001
fatcat:xxodyx7tubdhzoedcno3oqaxoa
Bayesian evidence-driven diagnosis of instrumental systematics for sky-averaged 21-cm cosmology experiments
2022
Publications Astronomical Society of Australia
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We, therefore, advocate a pipeline capable of testing a variety of potential systematic errors with the Bayesian evidence acting as the mechanism for detecting their presence. ...
We demonstrate the effectiveness of a Bayesian evidence -based analysis for diagnosing and disentangling the sky-averaged 21-cm signal from instrumental systematic effects. ...
This work was performed using resources provided by the Cambridge Service for Data Driven Discovery (CSD3) operated by the ...
doi:10.1017/pasa.2022.49
fatcat:nubjjs2m2rfcxctmcvwfkwm7gq
Bayesian evidence-driven diagnosis of instrumental systematics for sky-averaged 21-cm cosmology experiments
[article]
2022
arXiv
pre-print
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We, therefore, advocate a pipeline capable of testing a variety of potential systematic errors with the Bayesian evidence acting as the mechanism for detecting their presence. ...
We demonstrate the effectiveness of a Bayesian evidence-based analysis for diagnosing and disentangling the sky-averaged 21-cm signal from instrumental systematic effects. ...
Acknowledgements This work was performed using resources provided by the Cambridge Service for Data Driven Discovery ( ...
arXiv:2204.04445v2
fatcat:apdqkxb365fw5e6jlfiqzvzmme
Period search in large datasets
1998
Open Astronomy
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We start with the demonstration that some procedures for analysis of unevenly sampled time series, such as the power spectrum, suffer from a number of faults and traps which make them unreliable in practice ...
The present article is an attempt to provide a fairly simple introduction to this topic. ...
If the signal consists of a sinusoid plus white noise then, for a given frequency uj, a direct correspondence exists between the modified power Pm and X 2 for the least squares fit of the data with a sinusoid ...
doi:10.1515/astro-1998-0109
fatcat:263ky7got5actclgnncrlga7hu
Line Spectrum Estimation and Detection with Few-bit ADCs: Theoretical Analysis and Generalized NOMP Algorithm
[article]
2024
arXiv
pre-print
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weak signal detection in scenarios involving multiple sinusoids under low-resolution quantization. ...
This paper investigates the signal-to-noise ratio (SNR) loss, establishing a framework to understand the impact of intersinusoidal interference, the bit-depth of the quantizer, and the noise variance on ...
Additionally, the Bayesian information criterion (BIC) is employed to determine the number of scatters [19] . ...
arXiv:2307.00491v3
fatcat:5q2kkhooqvdexl4n7yzvs6fjmm
Optimizing V antenna arrays using a Bayesian DOA estimation criterion
2013
2013 1st International Conference on Communications, Signal Processing, and their Applications (ICCSPA)
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We consider, as performance measure, the expected Cramer-Rao bound, normalized (for comparison purposes) to that of the commonly used uniform circular arrays. ...
For large-sized V arrays, the performance measure shows a simple expression, enabling analytical solution of the subsequent array-geometry optimization problem. ...
with (Φ, Θ, σ 2 s , σ 2 n ) is lower bounded by the so-called Bayesian CRB given by the inverse of the hybrid information matrix J H = J D + J P [16, (74-75) p.13] with J D = E Φ,Θ (J F ) and J P = J ...
doi:10.1109/iccspa.2013.6487297
fatcat:6rv33izuwzhujhbq66sqyxrdvq
Forecasting Cardiology Admissions from Catheterization Laboratory
[article]
2019
arXiv
pre-print
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ARIMA (2,0,2) (1,1,1) was selected as the best fit model with the minimum sum of error, Akaike information criterion and Schwartz Bayesian criterion. ...
tackle inpatient overcrowding, plan for physical capacity expansion and so forth. ...
The fitted model with minimum Akaike information criterion (AIC) and Schwartz Bayesian criterion (BIC) was selected as the optimal forecasting model [10] . ...
arXiv:1812.10486v2
fatcat:6denfeznuzf5zdm4iuoctz5eta
Bayesian statistical analysis of circadian oscillations in fibroblasts
2012
Journal of Theoretical Biology
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We then illustrate the advantages of a new Bayesian method for estimating period, which outperforms the other six methods in accuracy of point estimates for simulated data and also provides a measure of ...
The common practice is to calculate a single number (a point estimate) for the period of a particular time course. ...
Career Development Award to DKW. TLL gratefully acknowledges support from the Amherst College Dean of Faculty's office. ...
doi:10.1016/j.jtbi.2012.08.038
pmid:22982138
pmcid:PMC3478438
fatcat:xczwa767pzdlvidx45rxceyi5m
Relabeling and Summarizing Posterior Distributions in Signal Decomposition Problems When the Number of Components is Unknown
2014
IEEE Transactions on Signal Processing
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This paper addresses the problems of relabeling and summarizing posterior distributions that typically arise, in a Bayesian framework, when dealing with signal decomposition problems with an unknown number ...
Two signal decomposition problems are considered, to show the capability of VAPoRS both for relabeling and for summarizing variable dimensional posterior distributions: the classical problem of detecting ...
ACKNOWLEDGMENT The authors would like to express their gratitude to B. Kégl for his collaboration and providing data for the Auger example. ...
doi:10.1109/tsp.2014.2333569
fatcat:idanscnibjhttgxh3gkmgfwnpi
Maximum A-Posteriori Probability Pitch Tracking in Noisy Environments Using Harmonic Model
2004
IEEE Transactions on Speech and Audio Processing
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Modern speech processing applications require operation on signal of interest that is contaminated by high level of noise. ...
In this paper, we present an optimal estimation procedure for sound signals (such as speech) that are modeled by harmonic sources. ...
ACKNOWLEDGMENT The authors thank the reviewers for their constructive comments, which helped to improve the quality of the paper. ...
doi:10.1109/tsa.2003.819950
fatcat:oprfxdvtjzdxfpp5bbmxyooyj4
Discrete confidence levels revealed by sequential decisions
[article]
2017
bioRxiv
pre-print
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Taking advantage of the direct link between an optimal decision-making and the confidence in that decision, we offer a new dual-decisions method of inferring such confidence without asking for its explicit ...
Our method circumvents the well-known miscalibration issue with explicit confidence reports as well as the specification of the cost-function required by 'opt-out' or post-decision wagering methods. ...
., s 1 will be above 0 with probability 1/2), 33 and there is no prior information about the sign of s 1 . ...
doi:10.1101/169243
fatcat:htsspj5rpfasjdkhr52clxfnym
Using the past to estimate sensory uncertainty
2020
eLife
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Our results show that observers integrate audiovisual inputs weighted by sensory uncertainty estimates that combine information from past and current signals consistent with an optimal Bayesian learner ...
To form a more reliable percept of the environment, the brain needs to estimate its own sensory uncertainty. ...
the Watanabe-Akaike Information Criterion (WAIC) as an approximation to the out of sample 767 expectation (Gelman et al., 2013). ...
doi:10.7554/elife.54172
pmid:33319749
pmcid:PMC7806269
fatcat:5grxvneferg5fac4p32fcbrlqa
RFI Mitigation for One-bit UWB Radar Systems
[article]
2021
arXiv
pre-print
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This sampling strategy compares the signal to a known threshold varying with slow-time and therefore can be used to achieve a rather high sampling rate and quantization resolution with rather simple and ...
A one-bit UWB system obtains its signed measurements via a low-cost and high rate sampling scheme, referred to as the Continuous Time Binary Value (CTBV) technology. ...
method for sinusoidal parameter estimation, i.e., for single-PRI based signed measurements, to deal with multiple-PRI based signed measurements. ...
arXiv:2102.08987v2
fatcat:wwy4aecbq5gi7p3lkftefpibki
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