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Inexact Model: A Framework for Optimization and Variational Inequalities [article]

Fedor Stonyakin, Alexander Gasnikov, Alexander Tyurin, Dmitry Pasechnyuk, Artem Agafonov, Pavel Dvurechensky, Darina Dvinskikh, Alexey Kroshnin, Victorya Piskunova
2020 arXiv   pre-print
The idea of the framework is based on constructing an inexact model of the main problem component, i.e. objective function in optimization or operator in variational inequalities.  ...  This method works for smooth and non-smooth problems with optimal complexity without a priori knowledge of the problem smoothness.  ...  Gasnikov on the conception of model of function at a given point and GM with relative smoothness context was supported by RFBR 18-31-20005 mol a ved, the work of P.  ... 
arXiv:1902.00990v6 fatcat:6e6sjyegdvgdll3enj2hmh2qiu

Index to Volume 68, 1961

1961 The American mathematical monthly  
Circular probability on a multivariate gamma distribution, problems, 541-544, 342-346. KRISHNAIAH, P. R., and Rao, M. M. Remarks Rao, M. M. See Krishnaiah, P. R. TOPOLOGY Davis, ALLEN S.  ...  The beta-gamma function identity, 165. CarTER, BEN. The #-centroid of an n-simplex;, 914-917. CHATTERJEA, S. K. On permutations and com- binations, 279-281. CHRESTENSON, H. E.  ... 
doi:10.1080/00029890.1961.11989817 fatcat:v62raaaovfa6pk2pijqhi3xjgy

Reviews and Descriptions of Tables and Books

1975 Mathematics of Computation  
Special algorithms for two real transforms via one complex transform and for one real transform are derived.  ...  Besides some general remarks on rounding errors and numerical stability, there is a good discussion of these aspects with regard to quasi-Newton algorithms.  ... 
doi:10.1090/s0025-5718-75-99678-7 fatcat:o3wonqdbbjhm5cvpepjhfsb2zy

Stability Analysis and Stabilization of Continuous-Time Linear Systems with Distributed Delays [article]

Qian Feng
2022 arXiv   pre-print
This book is an extension of my Ph.D. thesis which is devoted to the methods for the stability (dissipativity) analysis and stabilization of linear systems with non-trivial distributed delays based on  ...  the application of the Liapunov- Krasovskiĭ functional (LKF) approach.  ...  Given ϖ(•) in (4.1) and U ∈ S n ≻0 and f . 4 ) 4 over[−1, 1], where γ γ(•) stands for the standard gamma function with d ∈ N 0 and α > −1, β > −1.  ... 
arXiv:2204.08353v2 fatcat:cdzqbasabjeqzbfd5kxweajgze

Robust Guarantees for Perception-Based Control [article]

Sarah Dean, Nikolai Matni, Benjamin Recht, Vickie Ye
2019 arXiv   pre-print
We show that under suitable smoothness assumptions on both the perception map and the generative model relating state to complex and nonlinear data, parameters of the safe set can be learned via appropriately  ...  We illustrate the usefulness of our approach on a synthetic example and on the self-driving car simulation platform CARLA.  ...  One such error function is simply e(x) = Jx, though many more complex forms exist.  ... 
arXiv:1907.03680v2 fatcat:myuetgwljrhsro57mpifr3jpgm

On Fitting Finite Dirichlet Mixture Using ECM and MML [chapter]

Nizar Bouguila, Djemel Ziou
2005 Lecture Notes in Computer Science  
We study a fluid system with single on/off source in which the active (on) and silent periods (off) follow General and Exponential distributions respectively.  ...  The steady-state distribution of the buffer content and related performance measures are obtained. Special cases such as Erlang, exponential and deterministic service times are discussed.  ...  The profile is a shape parameter that yields fine information on the complexities of various algorithms on search trees.  ... 
doi:10.1007/11551188_19 fatcat:gtzi5u6emvfyxea3zbklobnvom

Revolution of Alzheimer Precision Neurology. Passageway of Systems Biology and Neurophysiology

Harald Hampel, Nicola Toschi, Claudio Babiloni, Filippo Baldacci, Keith L. Black, Arun L.W. Bokde, René S. Bun, Francesco Cacciola, Enrica Cavedo, Patrizia A. Chiesa, Olivier Colliot, Cristina-Maria Coman (+32 others)
2018 Journal of Alzheimer's Disease  
neurodegenerative disease (ND) populations, within the wide continuous biological and clinical spectrum of ND, applying high-throughput and Hampel et al.  ...  different diseases and subgroups at different stages of pathophysiological progression.  ...  Moreover, there is evidence that some MEG markers of functional brain networks may be predictive of the conversion from MCI to AD dementia [397, 400, 404] .  ... 
doi:10.3233/jad-179932 pmid:29562524 pmcid:PMC6008221 fatcat:j3u6gkzfqbg47kv4o2hpkjadn4

The Sequence of the Human Genome

J. Craig Venter, Mark D. Adams, Eugene W. Myers, Peter W. Li, Richard J. Mural, Granger G. Sutton, Hamilton O. Smith, Mark Yandell, Cheryl A. Evans, Robert A. Holt, Jeannine D. Gocayne, Peter Amanatides (+262 others)
2001 Science  
Concluding remarks. There are several possible explanations for the differences in phenotypic complexity observed in humans when compared to the fly and worm.  ...  When one considers the increase of two-and-a-half orders of magnitude in problem size, the information loss between the two is remarkably small.  ... 
doi:10.1126/science.1058040 pmid:11181995 fatcat:mghdrb7wara7flb25lr5st3gxm

Mechanistic models for additive manufacturing of metallic components

H.L. Wei, T. Mukherjee, W. Zhang, J.S. Zuback, G.L. Knapp, A. De, T. DebRoy
2020 Progress in Materials Science  
The functionality of AM models in understanding of the printability of commonly used AM alloys and the fabrication of functionally graded alloys are also assessed.  ...  The microstructure and properties of the components vary widely depending on printing process and process parameters, and prediction of causative variables that affect structure, properties and defects  ...  Reduced order models simplify the complex multi-dimensional calculations by starting with a simple one-dimensional algorithm of heat flow and other physical processes and extrapolating the algorithm to  ... 
doi:10.1016/j.pmatsci.2020.100703 fatcat:rdsvxo2zjbfnxeotuhytjmcnpy

Twenty Years of Rewriting Logic [chapter]

José Meseguer
2010 Lecture Notes in Computer Science  
logical framework uses; (iii) its language implementations and its formal tools; and (iv) its many applications to automated deduction, software and hardware specification and verification, security,  ...  real-time and cyber-physical systems, probabilistic systems, bioinformatics and chemical systems.  ...  I thank the organizers of WRLA 2010 for giving me the opportunity and the stimulus to do some reflecting, surveying, and guessing about rewriting logic at this point, when twenty years have passed since  ... 
doi:10.1007/978-3-642-16310-4_2 fatcat:ho7s76r67nc63bndpoptbh5k4e

Twenty years of rewriting logic

José Meseguer
2012 The Journal of Logic and Algebraic Programming  
logical framework uses; (iii) its language implementations and its formal tools; and (iv) its many applications to automated deduction, software and hardware specification and verification, security,  ...  real-time and cyber-physical systems, probabilistic systems, bioinformatics and chemical systems.  ...  I thank the organizers of WRLA 2010 for giving me the opportunity and the stimulus to do some reflecting, surveying, and guessing about rewriting logic at this point, when twenty years have passed since  ... 
doi:10.1016/j.jlap.2012.06.003 fatcat:5tx4a5uxlvapfpf5fajozkbboi

2022 Review of Data-Driven Plasma Science [article]

Rushil Anirudh, Rick Archibald, M. Salman Asif, Markus M. Becker, Sadruddin Benkadda, Peer-Timo Bremer, Rick H.S. Budé, C.S. Chang, Lei Chen, R. M. Churchill, Jonathan Citrin, Jim A Gaffney (+51 others)
2022 arXiv   pre-print
A large amount of data and machine learning algorithms go hand in hand. Most plasma data, whether experimental, observational or computational, are generated or collected by machines today.  ...  Data science and technology offer transformative tools and methods to science.  ...  In order for existing and future reduction algorithms to be 'trustworthy', it will be necessary for algorithms to come with some kind of certificate or guarantee on the fidelity of the reduced data to  ... 
arXiv:2205.15832v1 fatcat:fxsl6gl3fncnhpoj76defxoc3a

Vol. 11, No. 1 (Full Issue)

2012 Journal of Modern Applied Statistical Methods  
The author wishes to thank and gratefully acknowledge the Biomedical Science Division of ANL for permission granted to work on the female radium dial painter data, T. J.  ...  Kotek for helping to familiarize me with database and Dr. Zhiyuan Liu for assisting me in calculating the AFE, DOE and TFE values listed in Tables 2-3.  ...  and Demirmen and on the Kernel function.  ... 
doi:10.22237/jmasm/1335846480 fatcat:sytwlnlxnjdvhmhdabn4kntbfe

Priorities assignment for actions in a transport system based on a multicriteria decision model [chapter]

2009 Reliability, Risk, and Safety, Three Volume Set  
And Cotnam J. "Impact Of Maintenance Function On Plant Safety" American Society Of Safety Engineers, August 2000 , pp. 45-48. Reason, J. 1997.  ...  Measures of Risk Importance and their Applications. NUREG/CR3385; Wall IB, Worledge DH. 1996. Some perspectives on importance measures. In: Proc PSA '96, Utah, U.S.A  ...  A gamma wear process.  ... 
doi:10.1201/9780203859759-69 fatcat:wnkjp4evmnawrn55cmckrgazze

Eigenvalue tests and distributions for small sample order determination for complex Wishart matrices

Curtis I. Caldwell
1995 Journal of the Acoustical Society of America  
The function f may take on complex values.  ...  It includes studies on forms involving the matrix complex normal distribution, the complex Wishart distribution, and functions on these forms.  ...  C0 P.2.3 Integrals Related to the Gamma Function Definition 88 The g--rma. iction is defined by 00 r(z) = j tz-le-tdt where Re(z) > 0 and z is complex.  ... 
doi:10.1121/1.411921 fatcat:pqarl5lmujbfholk5p744wa2yq
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