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Exact Calculation of Normalized Maximum Likelihood Code Length Using Fourier Analysis [article]

Atsushi Suzuki, Kenji Yamanishi
2018 arXiv   pre-print
This paper proposes a novel methodology for calculating the normalized maximum likelihood code length on the basis of Fourier analysis.  ...  The normalized maximum likelihood code length has been widely used in model selection, and its favorable properties, such as its consistency and the upper bound of its statistical risk, have been demonstrated  ...  Our methodology enables the systematic analysis of NML code length in terms of both asymptotic expansion and exact calculation.  ... 
arXiv:1801.03705v1 fatcat:gqa6dany2fh2hioppxjuboevou

stingray: A modern Python library for spectral timing

Daniela Huppenkothen, Matteo Bachetti, Abigail Stevens, Simone Migliari, Paul Balm, Omar Hammad, Usman Khan, Himanshu Mishra, Haroon Rashid, Swapnil Sharma, Evandro Ribeiro, Ricardo Blanco
2019 Journal of Open Source Software  
Its core functionality comprises a range of Fourier analysis techniques commonly used in spectral-timing analysis, as well as extensions for analyzing pulsar data, simulating data sets, and statistical  ...  The code is 2 HUPPENKOTHEN ET AL. well-tested, with a test coverage of currently 95%, and is accompanied by extensive API documentation and a set of step-by-step tutorials.  ...  Separating out the likelihood and posterior in distinct classes makes it possible to allow the use of the likelihood for maximum likelihood estimation, while requiring priors for estimating the Bayesian  ... 
doi:10.21105/joss.01393 fatcat:e7mywjsoevfq5eu5botjtag5ha

Stingray: A Modern Python Library For Spectral Timing [article]

D. Huppenkothen, M. Bachetti, A. L. Stevens, S. Migliari, P. Balm, O. Hammad, U. M. Khan, H. Mishra, H. Rashid, S. Sharma, R. V. Blanco, E. M. Ribeiro
2019 arXiv   pre-print
Its core functionality comprises a range of Fourier analysis techniques commonly used in spectral-timing analysis, as well as extensions for analyzing pulsar data, simulating data sets, and statistical  ...  The code is well-tested, with a test coverage of currently 95%, and is accompanied by extensive API documentation and a set of step-by-step tutorials.  ...  Separating out the likelihood and posterior in distinct classes makes it possible to allow the use of the likelihood for maximum likelihood estimation, while requiring priors for estimating the Bayesian  ... 
arXiv:1901.07681v1 fatcat:xdqxzulg2bgqpo5uu3js7c2uxu

Stingray: A Modern Python Library for Spectral Timing

Daniela Huppenkothen, Matteo Bachetti, Abigail L. Stevens, Simone Migliari, Paul Balm, Omar Hammad, Usman Mahmood Khan, Himanshu Mishra, Haroon Rashid, Swapnil Sharma, Evandro Martinez Ribeiro, Ricardo Valles Blanco
2019 Astrophysical Journal  
Its core functionality comprises a range of Fourier analysis techniques commonly used in spectral-timing analysis, as well as extensions for analyzing pulsar data, simulating data sets, and statistical  ...  The code is 2 HUPPENKOTHEN ET AL. well-tested, with a test coverage of currently 95%, and is accompanied by extensive API documentation and a set of step-by-step tutorials.  ...  Separating out the likelihood and posterior in distinct classes makes it possible to allow the use of the likelihood for maximum likelihood estimation, while requiring priors for estimating the Bayesian  ... 
doi:10.3847/1538-4357/ab258d fatcat:wlnzmemi2zhg7prmi3s3nhhxni

Comparison of methods for rhythm analysis of complex animals' acoustic signals

Lara S. Burchardt, Mirjam Knörnschild, Samuel J. Gershman
2020 PLoS Computational Biology  
inter-onset-intervals and calculations of a normalized Pairwise Variability Index (nPVI).  ...  Techniques to be compared included Fourier analysis with a newly developed goodness-of-fit value, a generate-and-test approach where data was overlaid with varying artificial beats, and the analysis of  ...  Methods that have been used for rhythm analysis include Fourier analysis [4, 5, 10, 17] or calculation of nPVIs, the normalized Pairwise Variability Index, which was originally developed to assess temporal  ... 
doi:10.1371/journal.pcbi.1007755 pmid:32267836 fatcat:cddr7op6rjejtasqavd2uno4tu

Analysis of sum-product decoding of low-density parity-check codes using a Gaussian approximation

Sae-Young Chung, T.J. Richardson, R.L. Urbanke
2001 IEEE Transactions on Information Theory  
For rates between 0.5 and 0.9, codes designed using the Gaussian approximation perform within 0.02 dB of the best performing codes found so far by using density evolution when the maximum variable degree  ...  the analysis of the decoding algorithm.  ...  limit at a bit error rate of using a block length of .  ... 
doi:10.1109/18.910580 fatcat:mj7rlqwlcngxdcjd3sqtdzuhcu

Asymptotic behaviors of population codes

Si Wu, Shun-ichi Amari, Hiroyuki Nakahara
2002 Neurocomputing  
The asymptotic behaviors of both Fisher information and maximum likelihood type of decoding methods are clariÿed.  ...  The present study investigates asymptotic behaviors of population codes, i.e., their performances when the number of neurons goes to inÿnity.  ...  In this paper, we systematically study the asymptotic behaviors of population codes for correlated signals, including both Fisher information and the maximum likelihood inference (MLI) type of decoding  ... 
doi:10.1016/s0925-2312(02)00460-5 fatcat:ilmoq57cgrb4bdw3ffljuzw6qa

Parameter Estimation of LFM Signal Based on Bayesian Compressive Sensing via Fractional Fourier Transform

Xiaolong Li, Yunqing Liu, Shuang Zhao, Wei Chu
2016 Journal of Communications  
In order to decrease the sampling pressure of hardware Bayesian CS (BCS) method is proposed which reconstructs the spectrum information of LFM signal via fractional Fourier transform (FRFT).  ...  Simulation results show that by using the method this paper proposed it outperforms some existing algorithms demonstrating the superior performance of the proposed approach. 1  ...  ACKNOWLEDGMENT We would like to thank Professor Zuobin Wang and two referees for their valuable comments and suggestions for improving the presentation of this paper.  ... 
doi:10.12720/jcm.11.7.693-701 fatcat:b73y7jwzf5g6fihtq7ch7dt3oi

Code-Timing Estimation for CDMA Systems With Bandlimited Chip Waveforms

R. Wang, H. Li, T. Li
2004 IEEE Transactions on Wireless Communications  
Index Terms-Bandlimited chip waveforms, code-division multiple-access (CDMA), code synchronization, Cramér-Rao bound (CRB), maximum-likelihood (ML), parameter estimation.  ...  The proposed estimator requires only the spreading code and training of the desired user.  ...  J. van der Veen for sharing their Matlab code of the shiftinvariance based (SIB) code-timing estimator in [18] , and the anonymous reviewers for their constructive comments and suggestions.  ... 
doi:10.1109/twc.2004.830858 fatcat:5i5hb5zmy5gjjb4dzzuvkt4cf4

On Code Execution Tracking via Power Side-Channel

Yannan Liu, Lingxiao Wei, Zhe Zhou, Kehuan Zhang, Wenyuan Xu, Qiang Xu
2016 Proceedings of the 2016 ACM SIGSAC Conference on Computer and Communications Security - CCS'16  
of great value.  ...  By observing the power consumption of the microcontroller unit during execution, we are able to recover the program execution flow with a high accuracy and detect abnormal code execution behavior even  ...  likelihood values, compared to that of normal execution cases.  ... 
doi:10.1145/2976749.2978299 dblp:conf/ccs/LiuWZZXX16 fatcat:ecqfpwxyp5cfjmsrac3e25vmoa

Full information ADC test procedures using sinusoidal excitation, implemented in MATLAB and LabVIEW

Vilmos Pálfi, Tamás Virosztek, István Kollár
2015 ACTA IMEKO  
Accurate test results require careful choice of settings and calculated quality parameters of the ADC under test are very sensitive to imperfections of the measurement setup.  ...  This paper presents solutions to perform the commonly used methods reliably and some advanced methods to increase the performance of ADC quality parameter estimation.  ...  using the maximum likelihood (ML) algorithm.  ... 
doi:10.21014/acta_imeko.v4i3.257 fatcat:yqox62si75br7o5r7imeoltqmm

Mathematical Analysis Power Spectrum of M-ary MSK and Detection with Optimum Maximum Likelihood

2021 KSII Transactions on Internet and Information Systems  
OMLCD(Optimum Maximum Likelihood Coherent Detection) of M-ary MSK is adopted to compare the signal received with prepared in advance in a code element T to go for the best.  ...  Optimum Maximum Likelihood Coherent Detection. properties of M-ary MSK (Multilevel Minimum Shift Keyed) signal with modulation index h=1/2 and optimum performance of optimum maximum likelihood coherent  ...  with maximum likelihood probability.  ... 
doi:10.3837/tiis.2021.08.011 fatcat:ly64ec6to5cdvlyxb4m2tgwafm

Dynamics of laminar and transitional flows over slip surfaces: effects on the laminar-turbulent separatrix [article]

Ethan A. Davis, Jae Sung Park
2020 arXiv   pre-print
A deterministic analysis of the effects of slip surfaces on transition to turbulence is performed using nonlinear traveling wave solutions to the Navier-Stokes equations, also known as exact coherent solutions  ...  Slip surfaces decrease the likelihood of sustained turbulence compared to the no-slip case, and likelihood is further decreased as slip length is increased.  ...  The direct numerical simulation code used was developed and distributed by John Gibson at the University of New Hampshire.  ... 
arXiv:2004.01051v1 fatcat:eqopnw5g25en7defuf27qaf6ve

Critical Data Compression [article]

John Scoville
2011 arXiv   pre-print
For many test images, a two-part image code using JPEG2000 for lossy coding and PAQ8l for lossless coding produces less mean-squared error than an equal length of JPEG2000.  ...  Applications to artificial intelligence are demonstrated, showing that signals using an economical lossless code have a critical level of redundancy which leads to better description-based inference than  ...  To use maximum likelihood estimation, we vary a and b in order to determine which of their values leads to the maximum likelihood.  ... 
arXiv:1112.5493v1 fatcat:m5g6gm6qc5bjrk2uslhekcz46i

BeyondPlanck II. CMB map-making through Gibbs sampling [article]

E. Keihänen, A.-S. Suur-Uski, K. J. Andersen, R. Aurlien, R. Banerji, M. Bersanelli, S. Bertocco, M. Brilenkov, M. Carbone, L. P. L. Colombo, H. K. Eriksen, M. K. Foss (+28 others)
2020 arXiv   pre-print
However, if only a single maximum-likelihood frequency map estimate is required, we find that traditional conjugate gradient solvers converge much faster than a Gibbs sampler in terms of total number of  ...  This provides a huge performance benefit as compared to traditional methods, and allows us for the first time to bring the destriping baseline length to a single sample.  ...  Pedro Ferreira for useful suggestions, comments and discussions, and Dr. Diana Mjaschkova-Pascual for administrative support.  ... 
arXiv:2011.06024v1 fatcat:k3tjrxrkljc3nard6cup4jozee
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