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Compact and Optimal Deep Learning with Recurrent Parameter Generators
[article]
2022
arXiv
pre-print
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Specifically, we create a recurrent parameter generator (RPG), which repeatedly fetches parameters from a ring and unpacks them onto a large model with random permutation and sign flipping to promote parameter ...
We propose a drastically different approach to compact and optimal deep learning: We decouple the Degrees of freedom (DoF) and the actual number of parameters of a model, optimize a small DoF with predefined ...
While the model performance generally scales with the number of parameters [29] , with parameters outnumbering training data, the model is significantly over-parameterized. ...
arXiv:2107.07110v3
fatcat:wrj5l37psradjlzkgnkqdxg244
A simple proof of the generalized strong recurrence for any non-zero parameter
[article]
2010
arXiv
pre-print
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2010 pre-print arXiv:1006.3184v3 fatcat:wqxrrzn57jcszdngyhltfyagz4Other Versions
The strong recurrence is equivalent to the Riemann hypothesis. In the present paper, we give a simple proof of the generalized strong recurrence for all non-zero parameters. ...
In this paper, we give a simple proof of the following generalized strong recurrence (we abbreviate this to GSR) for all non-zero parameters. ...
This property is called strong recurrence (see [10, Theorem 8.3] ). Theorem B. (see [1, Theorem 3.7] ). ...
arXiv:1006.3184v4
fatcat:lhlpjyuttzcljjlxh73vdhdy3i
Joint universality and generalized strong recurrence with rational parameter
[article]
2015
arXiv
pre-print
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He also observed that the generalized strong recurrence property holds for almost all real parameters d. His result was improved by the author in [13] to all irrational parameter d. ...
The crucial step in the proof of the generalized strong recurrence property with parameter d is to show that the following set (3) {log p : p is prime} ∪ {d log p : p is prime} is linearly independent ...
arXiv:1503.06931v1
fatcat:agl3y2fsvfbbtjqwjdtlpozqju
The generalized strong recurrence for non-zero rational parameters
[article]
2010
arXiv
pre-print
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The strong recurrence is equivalent to the Riemann hypothesis. On the other hand, the generalized strong recurrence holds for any irrational number. ...
In this paper, we show the generalized strong recurrence for all non-zero rational numbers. ...
The author also proved the generalized strong recurrence for every algebraic irrational number in [7, Corollary 1.2] . ...
arXiv:1006.1778v1
fatcat:er6ws5vaunfdtexyjekihc3hte
Erratum to: The generalized strong recurrence for non-zero rational parameters
2012
Archiv der Mathematik
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Moreover, we partially filled a gap existing in "The strong recurrence for non-zero rational parameters" and prove self-approximation of ζ(s) for 0 = d = a/b with |a − b| = 1 and gcd(a, b) = 1. ...
doi:10.1007/s00013-012-0392-0
fatcat:wyvw3geljrfbhdzfdry674563u
Corrigendum for "The generalized strong recurrence for non-zero rational parameters" Archiv der Mathematik 95 (2010), 549-555
[article]
2012
arXiv
pre-print
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Moreover, we partially filled a gap existing in "The strong recurrence for non-zero rational parameters" and prove self-approximation of ζ(s) for 0 d=a/b with |a-b| 1 and (a,b)=1. ...
arXiv:1203.1393v1
fatcat:l6snzrmxkre47orb5eepfrug2m
Estimation of the unextendable dead time random duration parameter in a recurrent generalized asynchronous flow of physical events
Оценивание параметра непродлевающегося мёртвого времени случайной длительности в рекуррентном обобщённом асинхронном потоке физических событий
2020
Izvestiya Vysshikh Uchebnykh Zavedenii. Fizika
Оценивание параметра непродлевающегося мёртвого времени случайной длительности в рекуррентном обобщённом асинхронном потоке физических событий
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Рассматривается рекуррентный обобщенный асинхронный поток событий (обобщённый MMPP-поток), являющийся распространённой математической моделью потока элементарных частиц, информационных потоков заявок, функционирующих в телекоммуникационных и информационно-вычислительных сетях связи, и относящийся к классу дважды стохастических потоков событий. Функционирование потока рассматривается в условиях случайного непродлевающегося мертвого времени, распределённого по равномерному закону на отрезке [0, T
doi:10.17223/00213411/63/1/88
fatcat:vvyzh5mo3jhnrodwdccqjuklcq
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... * ]. Производится оценивание параметра T * мёртвого времени методом моментов. Приводятся результаты статистических экспериментов. Ключевые слова: рекуррентный обобщенный асинхронный поток событий, непродлевающееся случайное мёртвое время, оценка параметра, метод моментов.
Estimation of the uniform distribution parameter of unextendable dead time duration in a generalized recurrent asynchronous flow of events by the maximum likelihood method
Оценивание методом максимального правдоподобия параметра распределения случайного мертвого времени в рекуррентном обобщенном асинхронном потоке событий
2021
Vestnik Tomskogo gosudarstvennogo universiteta Upravlenie vychislitel naya tekhnika i informatika
Оценивание методом максимального правдоподобия параметра распределения случайного мертвого времени в рекуррентном обобщенном асинхронном потоке событий
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Оценивание методом максимального правдоподобия параметра распределения случайного мертвого времени 53 ВЕСТНИК ТОМСКОГО ГОСУДАРСТВЕННОГО УНИВЕРСИТЕТА 2021 Управление, вычислительная техника и информатика № 55 УДК 519.21 Изучается рекуррентный обобщенный асинхронный поток событий, являющийся распространенной математической моделью информационных потоков сообщений, функционирующих в телекоммуникационных сетях, и относящийся к классу дважды стохастических потоков событий. Функционирование потока
doi:10.17223/19988605/55/7
fatcat:2qiknjy2nffe7bmro4522rekka
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... сматривается в стационарном режиме и в условиях непродлевающегося случайного мертвого времени, распределенного по равномерному закону на отрезке [0, T * ]. Рассматриваются общий и особый случаи задания параметров рекуррентного обобщенного асинхронного потока событий. Приводятся численные результаты (в общем и особом случаях) по оцениванию параметра T * методом максимального правдоподобия. Ключевые слова: рекуррентный обобщенный асинхронный поток; непродлевающееся случайное мертвое время; оценка параметра; метод максимального правдоподобия. NEZHEL'SKAYA Lyudmila Alekseevna (Doctor of Physical and Mathematical Sciences, Professor of Applied
Estimation procedure of the uniform distribution parameter of unextendable dead time duration in a generalized recurrent asynchronous flow of events in special case
Процедура оценивания параметра равномерного распределения длительности непродлевающегося случайного мертвого времени в рекуррентном обобщенном асинхронном потоке событий в особом случае
2021
Vestnik Tomskogo gosudarstvennogo universiteta Upravlenie vychislitel naya tekhnika i informatika
Процедура оценивания параметра равномерного распределения длительности непродлевающегося случайного мертвого времени в рекуррентном обобщенном асинхронном потоке событий в особом случае
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Nezhel'skaya L.A, Pershina A.A. (2021) ESTIMATION PROCEDURE OF THE UNIFORM DISTRIBUTION PARAMETER OF UNEXTENDABLE DEAD TIME DURATION IN A GENERALIZED RECURRENT ASYNCHRONOUS FLOW OF EVENTS IN SPECIAL CASE ...
doi:10.17223/19988605/54/8
fatcat:7h3ayjg4w5gwlkpiy6cqh4ob6y
Could there be a relationship between type of anesthesia and oncological parameters after transurethral resection of bladder cancer?
2018
Translational Andrology and Urology
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Interestingly, while patients who were offered general anesthesia were younger and with less comorbidities [based on American Society of Anesthesiologists (ASA) classification], their recurrence parameters ...
act as potential confounders that could influence recurrence parameters. ...
doi:10.21037/tau.2018.03.12
pmid:29733085
pmcid:PMC5911533
fatcat:yzokrwoiqzcd7ochvdtxag4w5i
Short term flood forecasting using General Recurrent neural network modeling a comparative study
2010
International Journal of Computer Applications
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General Terms:-Prediction, Radial basis function neural network, Time lagged recurrent neural network. ...
for general recurrent neural network and can be considered as an alternate and practical tool for predicting short term flood flow. ...
In the Table- VI the parameters and the best performances for general recurrent neural network are listed. ...
doi:10.5120/1259-1777
fatcat:fjwlbgmpuvf75hcetxk2jqgmka
Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients
2018
Advances in High Energy Physics
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In general, the coefficients of the expansions obey three-term recurrence relations. However, there exist certain choices of the parameters for which the recurrence relations become two-term. ...
a single generalized hypergeometric function. ...
] : (0) = 3 2 ( , , + 1; , ; ) , (33) where the parameter is given as = − . (34) Note that using this parameter the solution of (32) is parameterized as [41] = 1 + , = ( − + 1) ( − ) ( − ) . (35) We ...
doi:10.1155/2018/4263678
fatcat:amm6dyjnw5b7pdvq5djtgpwyqa
Football Match Dynamics Explored by Recurrence Analysis
2021
Frontiers in Psychology
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With a recurrence threshold of rt = 9 m and a minimum line length of lmin = 3 s, general recurrence parameters were calculated to characterize the individual recurrence behaviors of each match. ...
Three football-specific recurrence parameters were defined to represent recurrence properties of open play. ...
General Recurrence Parameters Marwan et al. ( 2007 ) suggested the use of general recurrence parameters to quantify certain aspects of recurrence. ...
doi:10.3389/fpsyg.2021.747058
pmid:34630256
pmcid:PMC8498199
fatcat:rdsfzvilcrh7rbmgs6dcjfmzvy
The Type I Generalized Half-Logistic Distribution Based on Upper Record Values
2015
Journal of Probability and Statistics
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We consider the type I generalized half-logistic distribution and derive some new explicit expressions and recurrence relations for marginal and joint moment generating functions of upper record values ...
Also, we compute the maximum likelihood estimates of the parameters of upper record values and their confidence intervals. ...
Setting = 1 in (15) , we deduce the recurrence relation for marginal moment generating function of upper record values from the type I generalized half-logistic distribution. ...
doi:10.1155/2015/393608
fatcat:xlwssg6t5nd7fkjiicgqsu2iu4
Recurrence-based detection of the hyperchaos-chaos transition in an electronic circuit
2010
Chaos
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Dynamical systems show a wide range of complex behavior depending on certain order parameters. ...
., "Using recurrences to characterize the hyperchaos-chaos transition," Phys. Rev. E 78, 066206 ͑2008͔͒. ...
CONCLUSIONS In this paper, the four recurrence-based measures introduced in Ref. 2 have been used in combination with a statistical method based on twin surrogates generated from recurrence properties ...
doi:10.1063/1.3498731
pmid:21198085
fatcat:u7xar5abdbe3jhppawvoyw55zi
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