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Testing Properties of Multiple Distributions with Few Samples [article]

Maryam Aliakbarpour, Sandeep Silwal
2019 arXiv   pre-print
We propose a new setting for testing properties of distributions while receiving samples from several distributions, but few samples per distribution.  ...  By assuming an additional natural condition about the source distributions, we provide sample optimal testers for all of these problems.  ...  Closeness testing with multiple sources We now describe our generalized version of closeness testing. We assume that we have access to two streams of samples.  ... 
arXiv:1911.07324v1 fatcat:qzfz4buxcrhtzamw3o2netatpe

Testing Properties of Multiple Distributions with Few Samples

Maryam Aliakbarpour, Sandeep Silwal, Michael Wagner
2020 Innovations in Theoretical Computer Science  
We propose a new setting for testing properties of distributions while receiving samples from several distributions, but few samples per distribution.  ...  By assuming an additional natural condition about the source distributions, we provide sample optimal testers for all of these problems.  ...  More formally, we have the following lemma which we prove in Section 5.3. 69:30 Testing Properties of Multiple Distributions with Few Samples Lemma 19.  ... 
doi:10.4230/lipics.itcs.2020.69 dblp:conf/innovations/AliakbarpourS20 fatcat:bz7ztva3hfgnnmtd5yxd55vk6e

MULTIPLE IMPUTATION FOR ORDINARY COUNT DATA BY NORMAL DISTRIBUTION APPROXIMATION

Titin Siswantining, Muhammad Ihsan, Saskya Mary Soemartojo, Devvi Sarwinda, Herley Shaori Al-Ash, Ika Marta Sari
2021 Media statistika  
The use of the normal distribution refers to the sampling distribution using the central limit theorem for discrete distributions.  ...  Missing values can be found in any type of data, included count data that has Poisson distributed. One solution to overcome that problem is applying multiple imputation techniques.  ...  Table 1 is the result of normality test of the data from few parameters λ.  ... 
doi:10.14710/medstat.14.1.68-78 fatcat:53qjwguvy5bd7g7vcve6bdn4q4

Understanding the Fracture Behaviors of Metallic Glasses—An Overview

Guan-Nan Yang, Yang Shao, Ke-Fu Yao
2019 Applied Sciences  
Although a few reviews on the fracture and mechanical properties of metallic glasses have been published, an overview on how and why metallic glasses fall out of the scope of the conventional fracture  ...  Fracture properties are crucial for the applications of structural materials. The fracture behaviors of crystalline alloys have been systematically investigated and well understood.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/app9204277 fatcat:uj7qvjamtbhurlruhpacjbuuzy

Sequential Monte Carlo multiple testing

G. K. Sandve, E. Ferkingstad, S. Nygard
2011 Bioinformatics  
An essential property of the algorithm is that it limits the total number of MC samples whatever the number of true null hypotheses.  ...  The algorithm iterates between adding MC samples across tests and calculating intermediate FDR values for the collection of tests.  ...  Conflict of Interest: none declared.  ... 
doi:10.1093/bioinformatics/btr568 pmid:21998154 pmcid:PMC3223366 fatcat:w2hp5jt3zbdg3bq3fk4ebiquca

Few-shot Classifier GAN

Adamu Ali-Gombe, Eyad Elyan, Yann Savoye, Chrisina Jayne
2018 2018 International Joint Conference on Neural Networks (IJCNN)  
We leverage this fine-grained property by injecting multiple fake classes with embedding.  ...  Using this dataset, our experiments start with 73k fully-labeled samples and the testing is performed only on 10k randomly-selected samples from the test set.  ... 
doi:10.1109/ijcnn.2018.8489387 dblp:conf/ijcnn/Ali-GombeESJ18 fatcat:a3jdkolw2repzmqmhmt55c4yue

Cryptographic pseudo-random numbers in simulation [chapter]

Nick Maclaren
1994 Lecture Notes in Computer Science  
For example, simple multiplicative congruential transformations (with a known multiplier and modulus) are still one of the most reliable techniques for simulation [3] , but useful mainly for student exercises  ...  A generator with a theoretical information leak of only 0.0001% may be excellent or useless, depending on the nature of the leak.  ...  Ones with coprime moduli are independent in the spectral test sense, irrespective of the sampling strategy.  ... 
doi:10.1007/3-540-58108-1_23 fatcat:2w5estgohjgotcdr7oi7hxdj6u

Proofs of Proximity for Distribution Testing

Alessandro Chiesa, Tom Gur, Marc Herbstritt
2018 Innovations in Theoretical Computer Science  
Distribution testing is an area of property testing that studies algorithms that receive few samples from a probability distribution D and decide whether D has a certain property or is far (in total variation  ...  Most natural properties of distributions, however, require a large number of samples to test, which motivates the question of whether there are natural settings wherein fewer samples suffice.  ...  We thank Clément Canonne for many discussions concerning distribution testing and for offering advice regarding several specific topics.  ... 
doi:10.4230/lipics.itcs.2018.53 dblp:conf/innovations/ChiesaG18 fatcat:ytaqgkqgpjd2nfx6siju5j6xzq

Kepler's missing planets

Jason H. Steffen
2013 Monthly notices of the Royal Astronomical Society  
Modeling the low multiplicity sample as essentially equivalent to the high multiplicity sample, but with unobserved intermediate planets, we find some evidence for an excess of planet pairs between the  ...  We investigate the distributions of the orbital period ratios of adjacent planets in high multiplicity \kepler\ systems (four or more planets) and low multiplicity systems (two planets).  ...  This research has made use of the NASA Exoplanet Archive, which is operated by the California Institute of Technology, under contract with the National Aeronautics and Space Administration under the Exoplanet  ... 
doi:10.1093/mnras/stt966 fatcat:7pmk54b5sncsvf3jnog3qq5vve

Page 84 of Astronomy and Astrophysics Vol. 234, Issue 1-2 [page]

1990 Astronomy and Astrophysics  
To compare the observed and expected distributions of N, an appropriate test must be used.  ...  Since x is a discrete variate having only a few integer values, the Kolmogorov-Smirnov test is weak and does not reveal any significant difference in the cumulative  ... 

Page 2491 of Mathematical Reviews Vol. , Issue 83f [page]

1983 Mathematical Reviews  
With the above machinery, one-sample and two-sample tests of variability are constructed.” Douglas H.  ...  The asymptotic distribution of the sample estimator of the midvariance is found and a small-sample approximation of the distribution using the chi-squared distribution is developed.  ... 

Synthesis and Characteristics of Local Fly Ash Based Geopolymers Mixed with Natural Aggregates

Dumitru Doru Burduhos Nergis, Petrica Vizureanu, Ofelia Corbu
2019 Revista de chimie (Bucuresti)  
According to this study, the aggregates strongly influence the density, compression strength and flexural strength at any age of samples.  ...  In the present paper the effect of aggregates on local fly ash based geopolymers is analyzed from the structure and mechanical properties point of view.  ...  There are multiple standards that specify the test methods of mechanical properties determination of geopolymeric samples.  ... 
doi:10.37358/rc.19.4.7106 fatcat:yu3jple2ozbxtd2pk5dopjzrdm

Towards sound epistemological foundations of statistical methods for high-dimensional biology

Tapan Mehta, Murat Tanik, David B Allison
2004 Nature Genetics  
"The field of expression data analysis is particularly active with novel analysis strategies and tools being published weekly" (ref. 2; Fig. 1) , and the value of many of these methods is questionable  ...  This tenet is widely appreciated by scientists studying the new realm of highdimensional biology, or 'omic' research, which involves multiplicity at unprecedented scales.  ...  This work was supported by grants from the US National Institutes of Health and from the US National Science Foundation.  ... 
doi:10.1038/ng1422 pmid:15340433 fatcat:b7corzb6jnhjjl6fuv5nbhcvwu

Synthesis and Characteristics of Local Fly Ash Based Geopolymers Mixed with Natural Aggregates.pdf

BURDUHOS NERGIS DUMITRU DORU
2019 Figshare  
According to this study, the aggregates stronglyinfluence the density, compression strength and flexural strength at any age of samples.  ...  In the present paper the effect of aggregates on local fly ash based geopolymers is analyzed fromthe structure and mechanical properties point of view.  ...  There are multiple standards that specify the test methods of mechanical properties determination of geopolymeric samples.  ... 
doi:10.6084/m9.figshare.8208653.v1 fatcat:cz2rdgubmngv5oynw5nb4ywway

Mechanical and microstructural aspects of severe plastic deformation of austenitic steel

K Rodak, J Pawlicki, M Tkocz
2012 IOP Conference Series: Materials Science and Engineering  
The mechanical properties were determined by means of the digital image correlation method and hardness testing.  ...  The paper presents the effects of severe plastic deformation by multiple compression in the orthogonal directions on the microstructure and the mechanical properties of austenitic steel.  ...  Samples with the square cross section (10×10 mm) and the length of 27 mm, unrestrained lengthwise, were subjected to multiple compression with 90 deg rotation between subsequent passes.  ... 
doi:10.1088/1757-899x/35/1/012008 fatcat:fkzii5hxlbditc5c2fnf4c6vya
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