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An axiomatic approach to Markov decision problems
[article]

2020
*
arXiv
*
pre-print

The main results

arXiv:1701.02879v5
fatcat:lwgokni4x5ewfamduzqyyuesu4
*of*the paper provide preference foundations for 0-discount optimality and*average*overtaking optimality in Markov decision problems with finitely many states and finitely many actions. ... Then the*Cesàro*sum*of*∞ t=1 (u t − v i ) (i.e., Theorem and provide two sets*of*axioms that*characterize*AO on U F . ... Utilitarianism for infinite*utility*streams:*A*new welfare criterion and its axiomatic*characterization*. Journal*of*Economic Theory, ( ): -, . [ ] Christopher J. Bishop, Eugene*A*. ...##
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Dynamic Cesaro-Wardrop equilibration in networks

2003
*
IEEE Transactions on Automatic Control
*

We analyze

doi:10.1109/tac.2003.809145
fatcat:w25x7fzx2je45l2b5jp4qpstqa
*a*routing scheme for*a*broad class*of*networks which converges (in the*Cesaro*sense) with probability one to the set*of*approximate*Cesaro*-Wardrop equilibria, an extension*of*the notion*of**a*... The demonstration*of*convergence in*a*fully dynamic context involves the treatment*of*two-time scale distributed asynchronous stochastic iterations. ... Our notion*of**Cesaro*-Wardrop equilibrium (introduced later) is*a**characterization**of*probability measures w.r.t. which the above is required to hold in an*average*sense and our goal will be to show that ...##
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Page 239 of American Society of Mechanical Engineers. Transactions of the American Society of Mechanical Engineers Vol. 77, Issue 2
[page]

1955
*
American Society of Mechanical Engineers. Transactions of the American Society of Mechanical Engineers
*

On this basis Delio, Schwent, and

*Cesaro*(41) analyzed*a*variety*of*instrument lines. ... In the analysis they*utilized*the electrical analogy which is based essentially on the similarity between Equation [22] and that*characterizing*the behavior*of*an RC circuit (Fig. 13) d, . 1 — oe ae*a*...##
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Page 1712 of Mathematical Reviews Vol. , Issue 92c
[page]

1992
*
Mathematical Reviews
*

If the

*utility*function is concave, then the optimal path is unique and its nature may be*characterized*. ... Theorem 2: Given*a*probability space X,*a*nonsingular S:X — X with Frobenius- Perron operator P, under the assumption that there exists f: Pf = f then S is chaotic if and only if the*Cesaro*limit*of*P" ...##
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Page 2070 of Mathematical Reviews Vol. 48, Issue 6
[page]

1974
*
Mathematical Reviews
*

*A*. 12025 On

*Cesaro*function spaces. Tamkang J. Math. 4 (1973), 19-25. For

*a*measurable function f on (0, 00), let o(f) be the

*averaging*function x~1{,*f(t)dt whenever it makes sense. ... ., 1967; see MR 36 #4939], and letting « and f be the indices

*of*X

*utilized*by D. W. Boyd [Canad. J. ...

##
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The limit of discounted utilitarianism

2018
*
Theoretical Economics
*

We also introduce

doi:10.3982/te1836
fatcat:4kxov6sn6fe4zepdmcjp4djr6m
*a*principle*of*compensation for postponements*of**utility*streams and use it to*characterize*the LDU criterion on*a*restricted domain. ... We show that LDU meets the standard assumptions*of*efficiency, equity, and interpersonal comparability, but allows us to compare more pairs*of**utility*streams than commonly used utilitarian criteria, including ... Theorem 1 shows that Strong Pareto, the Compensation Principle, and Additivity (*a*standard translation invariance axiom)*characterize*limitdiscounted utilitarianism on the set*of*pairs*of**utility*streams ...##
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The Limit of Discounted Utilitarianism

2013
*
Social Science Research Network
*

We also introduce

doi:10.2139/ssrn.2305317
fatcat:gqfmgx5cibedfn2b2tx52tt4ju
*a*principle*of*compensation for postponements*of**utility*streams and use it to*characterize*the LDU criterion on*a*restricted domain. ... We show that LDU meets the standard assumptions*of*efficiency, equity, and interpersonal comparability, but allows us to compare more pairs*of**utility*streams than commonly used utilitarian criteria, including ... Theorem 1 shows that Strong Pareto, the Compensation Principle, and Additivity (*a*standard translation invariance axiom)*characterize*limitdiscounted utilitarianism on the set*of*pairs*of**utility*streams ...##
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Fuzzy Statistical Limits
[article]

2008
*
arXiv
*
pre-print

We find relations between fuzzy statistical convergence

arXiv:0803.4019v1
fatcat:krgcljwrjrd4fiudk7gr3pg6be
*of**a*sequence and fuzzy statistical convergence*of*its subsequences (Theorem 2.1), as well as between fuzzy statistical convergence*of**a*sequence ... The main idea*of*the statistical convergence*of**a*sequence l is that the majority*of*elements from l converge and we do not care what is going on with other elements. ... Here*a*partial*average**of*l is equal to µ n = (1/n) Σ i=1 n*a*i . Partial*averages*are also called*Cesáro*means. They are used to determine*Cesáro*summability in the theory*of*divergent series. ...##
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The Asymptotic Behaviour of the Fourier Transforms of Orthogonal Polynomials II: L.I.F.S. Measures and Quantum Mechanics

2007
*
Annales de l'Institute Henri Poincare. Physique theorique
*

In the following Sect. 8, we discuss how the same Mellin techniques can be applied to

doi:10.1007/s00023-006-0309-1
fatcat:fj2llupqffcodg34ja42nw2haq
*averaging*procedures other than*Cesaro*, and as*a*by-product, we derive*a*Fourier series representation for the the ... We*characterize*the asymptotic behaviours*of*their discrete and continuous*averages*. Further related quantities are analyzed, and relevance*of*this analysis to quantum mechanics is briefly discussed. ... Proposition 5 5 When assumption 1 holds, and x < d 0 (µ), the*Cesaro**average*in in the variable y*of*the Mellin transform G n (µ; x + iy) decays as o(t −*a*), t being the range*of**Cesaro**averaging*, for ...##
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On the Conservation Law and the Performance Space of Single Server Systems

1994
*
Operations Research
*

For an M|G|1 system, we derive inequalities involving the

doi:10.1287/opre.42.2.372
fatcat:brtsaplk3rf6rdvu3qg2mn4nnq
*Cesaro*sums*of*waiting times, that further*characterize*the achievable performance region*of*the system. ... For these classes*of*policies, ergodicity is not known*a*priori and may not even exist. Therefore, the classical invariance relations, involving statistical*averages*do not hold. ... Acknowledgements The authors wish to thank the anonymous reviewers for their helpful comments, which considerably improved the presentation*of*this paper. ...##
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Probe-Based Confocal Laser Endomicroscopy for Indeterminate Biliary Strictures: Refinement of the Image Interpretation Classification

2015
*
Gastroenterology Research and Practice
*

Specificity

doi:10.1155/2015/675210
pmid:25866506
pmcid:PMC4377502
fatcat:zdfe6vhoxjglpns3w4zpuyupmq
*of*pCLE using the Paris Classification for the*characterization**of*indeterminate bile duct stricture was increased, without impacting the overall accuracy. ... Accurate diagnosis and clinical management*of*indeterminate biliary strictures are often*a*challenge. ...*characterization**of*bile duct stricture. ...##
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Learning Nash Equilibria in Congestion Games
[article]

2014
*
arXiv
*
pre-print

We study the repeated congestion game, in which multiple populations

arXiv:1408.0017v1
fatcat:woc3nfdijvg5rfwimbf3pm3b7i
*of*players share resources, and make, at each iteration,*a*decentralized decision on which resources to*utilize*. ... We investigate the following question: given*a*model*of*how individual players update their strategies, does the resulting dynamics*of*strategy profiles converge to the set*of*Nash equilibria*of*the one-shot ... This observation motivates*a*second*characterization**of*Nash equilibria, in terms*of*the*average*loss. Definition 2 (*Average*loss). ...##
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Prediction of Prognosis and Survival of Patients with Gastric Cancer by Weighted Improved Random Forest Model

2021
*
Archives of Medical Science
*

Among the 10 public datasets, the Random Forest weighted in accuracy has the best performance on 6 datasets, with an

doi:10.5114/aoms/135594
fatcat:g5m7norxbvfd7fuwuvx3oqyvkm
*average*increase*of*1.44% in accuracy and an*average*increase*of*1.2% in AUC.ConclusionsCompared ... In AUC, Macro-*averaging*increased by 2.32% and Micro-*averaging*increased by 0.51% on*average*. ... Acknowledgments P r e p r i n t Conflict*of*interest The authors declare no conflict*of*interest. P r e p r i n t ...##
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Online Learning of Nash Equilibria in Congestion Games

2015
*
SIAM Journal of Control and Optimization
*

We show that the resulting sequence

doi:10.1137/140980685
fatcat:hyrprv6pvzal5a4emfyycyzcou
*of*strategy profiles converges to the set*of*Nash equilibria in the sense*of**Cesàro*means. ... We study the repeated, nonatomic congestion game, in which multiple populations*of*players share resources and make, at each iteration,*a*decentralized decision on which resources to*utilize*. ... For any r ∈ R, the resource load is defined to be the total mass*of*players*utilizing*r (2.2) φ r (*a*) = K k=1 p∈P k :r∈p f k p (*a*). ...##
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Instability statistics and mixing rates

2009
*
Physical Review E
*

quantitative estimates

doi:10.1103/physreve.80.036210
pmid:19905203
fatcat:m5a36s34gvfrhagepudipjl634
*of*polynomial decay rates*of*time correlations and Poincaré recurrences in the -quite delicate- case*of*dynamical systems with weak chaotic properties. ... We claim that looking at probability distributions*of*finite time largest Lyapunov exponents, and more precisely studying their large deviation properties, yields an extremely powerful technique to get ... ACKNOWLEDGMENTS One*of*the authors ͑C.M.͒ gratefully acknowledges CNPq Brazil for support and the Center for Nonlinear and Complex Systems in Como for hospitality. We thank Marcus W. ...
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