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Distributional Generalization: A New Kind of Generalization [article]

Preetum Nakkiran, Yamini Bansal
2020 arXiv   pre-print
We introduce a new notion of generalization -- Distributional Generalization -- which roughly states that outputs of a classifier at train and test time are close *as distributions*, as opposed to close  ...  Our formal conjectures, which are much more general than this example, characterize the form of distributional generalization that can be expected in terms of problem parameters: model architecture, training  ...  We thank Guy Gur-Ari for noting the connection to existing work on networks picking up fine-structural aspects of distributions.  ... 
arXiv:2009.08092v2 fatcat:k2addt5uwncg5l5w5clz7ecdhq

A new kind of generalized fuzzy integrals

Cuilian You, Hongyan Ma, Huae Huo
2016 Journal of Nonlinear Science and its Applications  
In this paper, definition of a kind of generalized Liu integral is given. Moreover, properties and theorems of this kind of generalized fuzzy integral are obtained.  ...  Under normal circumstances, there are two basic limitations: limited of integral interval and boundedness of integrand.  ...  Conclusions This paper was mainly to extend Liu integral to a kind of generalized Liu integral, that is Liu integral on infinite interval.  ... 
doi:10.22436/jnsa.009.03.63 fatcat:3oe2byv2lzblvnbx2pfeauofgi

A new kind of Hermite-Gaussian-like optical vortex generated by cross-phase [article]

Chen Wang, Yuan Ren, Tong Liu, Linlin Chen, Song Qiu
2020 arXiv   pre-print
We propose a new kind of optical vortex called the Hermite-Gaussian-like optical vortex (HGOV) inspired by the crossphase (CP).  ...  We also investigate the propagation characteristics of an HGOV, which has a Hermitian-Gaussian-like intensity distribution but still retains the orbital angular momentum.  ...  In 2019, the cross-phase (CP), a new kind of phase structure, has been involved in Laguerre-Gauss (LG) beams that open up a new horizon for generation and measurement of OV [8, 9] .  ... 
arXiv:2005.06815v1 fatcat:3mu2abbwfjdljevvd4tl4g77am

Generalized beta-generated distributions

Carol Alexander, Gauss M. Cordeiro, Edwin M.M. Ortega, José María Sarabia
2012 Computational Statistics & Data Analysis  
The model parameters are estimated by maximum likelihood and the usefulness of the new class is illustrated by means of some real data sets.  ...  needed to add entropy to the centre of the parent distribution.  ...  Jones of the Open University, UK, for very insightful comments on the first draft of this paper.  ... 
doi:10.1016/j.csda.2011.11.015 fatcat:erv4v7m4grdohcnfl773t7vele

General Fading Distributions

Michel Daoud Yacoub
2002 Journal of Communication and Information Systems  
Preliminary results show that these new distributions provide a very good fitting to experimental data.  ...  This paper presents two general fading distributions-the K-!L Distribution and the T)-!L Distribution. The K-!L Distribution includes the Rice and the Nakagarnim distnbutions as special cases.  ...  COMMENTS ON THE ry·JL DISTRIBUTION A new general fading distribution -the T]-Jl. Distribution -has been presented.  ... 
doi:10.14209/jcis.2002.9 fatcat:2vo67darw5ap3f2jihrlawtcta

A Generalization of Generalized Gamma Distributions

Mohamed Mead, Mazen Mohammed Nassar, Sanku Dey
2018 Pakistan Journal of Statistics and Operation Research  
For the first time, a new generalization of generalized gamma distribution called the modified generalized gamma distribution has been introduced to provide greater flexibility in modeling data from a  ...  Agarwal and Kalla (1996) defined a new type of generalized gamma distribution by slightly modifying the form of Kobayashi's generalized gamma function (1991).  ...  kind (GB2) which was introduced by McDonald (1984) with the following pdf A Generalization of Generalized Gamma Distributions Pak.j.stat.oper.res.  ... 
doi:10.18187/pjsor.v14i1.1692 fatcat:o4vuhjpw2jbgffiu3zsm24a2ce

Generalized Rankmapped Transmuted Distribution for Generating Families of Continuous Distributions

M. A. Ali, Haseeb Athar
2021 Journal of Statistical Theory and Applications (JSTA)  
A B S T R A C T This study introduces generalized transmuted family of distributions.  ...  We investigate the special cases of our generalized transmuted distribution to match with some other generalization available in literature.  ...  wear-out of phase, so a distribution which can fit this kind of hazard rate would be very useful in reliability studies.  ... 
doi:10.2991/jsta.d.210129.001 fatcat:dabbzztzgzep7dihvgnd2tvuh4

Distribution Feeder Reconfiguration Considering Distributed Generators

R. Khorshidi, T. Niknam, M. Nayeripour
2008 Zenodo  
So it is necessary that impact of these kinds of generators on distribution feeder reconfiguration would be investigated.  ...  Recently, distributed generation technologies have received much attention for the potential energy savings and reliability assurances that might be achieved as a result of their widespread adoption.  ...  A study done by the Electric Power Research Institute (EPRI) indicates that by 2010, 25% of the new generation will be distributed, and also, a study by Natural Gas Foundation concluded that this figure  ... 
doi:10.5281/zenodo.1334374 fatcat:wshxqbutnja2xlb36cmdxiloy4

Transmuted Generalized Uniform Distribution

C. Subramanian, A.A. Rather
2018 International Journal of Scientific Research in Mathematical and Statistical Sciences  
In this paper we have introduced a new probability model called as transmuted generalized Uniform distribution (TGUD) by using the quadratic rank transmutation map studied by Shaw and Buckley (2007) .  ...  The moments, survival function, failure rate and reverse hazard rate of the distribution have been derived. The parameters have been estimated by the maximum likelihood method.  ...  Generally, transmutation maps are a convenient way of constructing new distributions, in particular, survival ones.  ... 
doi:10.26438/ijsrmss/v5i5.2532 fatcat:qewdhggai5ft7b6yq7d7exegnq

ν-Generalized Hyperbolic Distributions [article]

Lev B.Klebanov, Svetlozar T. Rachev
2015 arXiv   pre-print
A new class of probability distributions closely connected to generalized hyperbolic distributions is introduced.  ...  It is more adapted to study the distributions of sums of random number of random variables. The properties of these distributions are studied.  ...  of second kind.  ... 
arXiv:1502.02486v1 fatcat:7krnggoltff6hcjmuzhupexsmm

Distributed Generation: Definitions, Benefits, Technologies & Challenges

2016 International Journal of Science and Research (IJSR)  
High levels of penetration of distributed generation (DG) are a new challenge for traditional electric power systems.  ...  The author start with a survey of existing small-scale generation technologies and then move on with a discussion of the major benefits and issues of small scale electricity generation.  ...  Challenges of Sharing the DG Location and Size High levels of penetration of distributed generation (DG) are a new challenge for traditional electric power systems.  ... 
doi:10.21275/v5i7.art2016445 fatcat:guyna74tvzh4tfwhn2nxgb7g5a

Exponentiated generalized geometric distribution: A new discrete distribution

Hamid Bidram, Rasool Roozegar, Vahid Nekoukhou
2015 Hacettepe Journal of Mathematics and Statistics  
In this paper, a new three-parameter extension of the generalized geometric distribution of [6] is introduced.  ...  In addition, estimation of the unknown parameters, a simulated example and an application of the new model are illustrated.  ...  The authors would like to sincerely thank to the anonymous referees for their constructive comments that appreciably improved the quality of presentation of this paper.  ... 
doi:10.15672/hjms.20159013119 fatcat:fppix5ldk5apfceiuskny6vg2m

Protection in Distributed Generation [chapter]

M.Paz Comech, Miguel Garcia-Gracia, Samuel Borroy, M.Teresa Ville
2010 Distributed Generation  
Induction generator and double-fed asynchronous generator: The ability of protective relays to detect faults on the basis of fault-current contribution from this kind of generators depends on the persistence  ...  The connection of DG in distribution networks must take into account the following subjects: The connection of new generation sources in the distribution system modifies the power flow  ...  Various new types of distributed generator systems, such as microturbines and fuel cells in addition to the more traditional solar and wind power are creating significant new opportunities for the integration  ... 
doi:10.5772/8887 fatcat:m3wf6nbzkbds5fo3f46uwvsmqy

A generalized eigenvalue distribution

Michael Handelman
1978 Journal of Mathematical Physics  
function appears to represent the behavior of eigenvalues from a new series of matrix ensembles.  ...  A method is presented here for successively eliminating variables from the probability density function for the orthogonal circular ensemble; the method generalizes an earlier result. and the resulting  ...  the real field and the complex field o A relation of the sort desired would be a similar kind of mapping between the complex field and the field of real quaternions.  ... 
doi:10.1063/1.523633 fatcat:pt2apr37ejcs5mlppeehpbpbiy

Distributed Generative Adversarial Net [article]

Xiaoyu Wang, Ye Deng, Jinjun Wang
2019 arXiv   pre-print
Recently the Generative Adversarial Network has become a hot topic. Considering the application of GAN in multi-user environment, we propose Distributed-GAN.  ...  It enables multiple users to train with their own data locally and generates more diverse samples. Users don't need to share data with each other to avoid the leakage of privacy.  ...  So aiming at this problem, we propose three kinds of Distributed-GAN and hope to help commercial companies better serve users.  ... 
arXiv:1911.08128v1 fatcat:lh5eyi4kbnb4baiwvz7vam4c7i
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