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5 Jun 2020: Email:tohid.ardeshiri@liu.se‡Department of Informatics, Athens University of Economics and Business, Patission 76, Athens 10434, Greece. ... We apply numerical integration to Berry theoremsand Parseval theorems for a wide range of parameter settings,in

5 Jun 2020: and Elie Bienenstock 3. 1 Knight Equity Markets, L.P., Jersey City, NJ 07310, USA2 Department of Informatics, Athens University of Economics and Business, Athens 10434, Greece3 Division of Applied Mathematics ... H(Y ) = limi. λH(Yi | Yi1,. , Y2, Y1).

5 Jun 2020: Knight Equity Markets, L.P., Jersey City, NJ 07310, USA. YGao@knight.com†Department of Informatics, Athens University of Economics and Business, Athens 10434, Greece. ... H(Y ) = limi. λH(Yi | Yi1,. , Y2, Y1). Therefore, the renewal entropy estimator

8 Jan 2020: Let N(p1,. ,pm)denote the minimum expected number of such tests needed to locate the infection.

31 Jul 2020: Taking 107sampling points in [1, 1]5 and using (15) to test for being positive or negative definite gives theestimate ρ() 0.8741239; using 108 sampling points gives ρ() 0.874112095. ... Also, all the quartics we test for beingpositive or negative have

30 Nov 2020: Example 2.7. Letf(z) =. n0zn! ,. which has radius of convergence 1 by the ratio test, and consider a qth rootof unity ω = exp(2πip/q).

6 Jun 2020: Athens U of Economics & Business.

11 Sep 2020: Antibody test accuracy? More than 90 tests on the US market without FDA review. ... 4 Growing movement advocating 10s-100s of millions of rapid tests/dayIdea: Test every individual before every.

29 Sep 2020: αdxd φ.3.1 Test functions and regularization. 3.1.1 Test functions. We introduce the space D(Rd) of test functions. ... Supp(φ) = {x, φ(x) 6= 0}. Definition 3.1.2 (Test functions). Let be an open subset of Rd.

5 Jun 2020: 1. An Epidemiology Problem. Suppose we want to test for the presence of a diseasein a certain population, and we do this by selecting members of the population at randomand then ... Assuming that the test is imperfect (there is a certain chance wemight

5 Jun 2020: i) There exists a sequence of deterministic hypothesis tests,{TN}, such that β(TN) eNAN for all N and:. ... a lower boundon the type-I error probability of the best feasible test.

5 Jun 2020: Counting the Primes Using Entropy. Ioannis KontoyiannisAthens U of Economics & Business.

5 Jun 2020: The set Cn is called the critical region, and the type-I andtype-II probabilities of error associated with the test are, respectively,. ... Combi-natorial Theory, 1:385–393, 1966. [5] W. Hoeffding. Asymptotically optimal tests for multinomial

5 Jun 2020: Department of Informatics, Athens University of Economics and Business, Patission 76, 104 34, Athens, Greece$ School of Applied Mathematical and Physical Sciences, National Technical University of Athens, 157 80, Athens, Greece. ... S. T. was supported

5 Jun 2020: test is imperfect (there is a certain chance wemight get a false positive or a false negative), is it better to testone person twice, or two people, once each? ... Again, althoughit may seem more reasonable to test two people independently,we find that

5 Jun 2020: of the spike count in the data (as quantified by the Fano factor).This conclusion is rigorously justified with a t-test with a p-value of 5 104. ... Fanofactors and the percentage drop is zero, and the test statisticis t = r.

5 Jun 2020: Athens University of Economics and Business, Athens, Greeceyiannis@aueb.gr. 6.

5 Jun 2020: Athens University of Economics and Business, Athens, Greeceyiannis@aueb.gr. 960 c THE MATHEMATICAL ASSOCIATION OF AMERICA [Monthly 115.

5 Jun 2020: Scenario (II): Dependence. In this case the asymptotic behavior of the test statisticI(n) is somewhat different. ... 3 Experimental Results. In this section we apply the mutual information test described above to biological data.

5 Jun 2020: Department of Informatics, Athens University of Economics and Business, Patission 76, Athens 10434, Greece.Email: yiannis@aueb.gr.

5 Jun 2020: A test between these two hypotheses can bethought of as a decision region Cn An: If Xn1 Cn. ... The two probabilities of error associated with this test are. αn = Pn1 (Ccn) and βn = P.

5 Jun 2020: US6021224: Multiresolution lossless/lossy compression and storage of data for efficient processing thereof. For more information look here. Inventor(s):. Castelli; Vittorio, White Plains, NY. Kontoyiannis; Ioannis, Mountainview, CA. Robinson; John

5 Jun 2020: test set. Train the classifier with the training set, then restrict the attention to the level- wavelet. ... by selecting appropriate thresholds for the ratio test. 4.2 Higher-Dimensional Data.

5 Jun 2020: Thetwo probabilities of error associated with this test are. αn = Pn1 (Ccn) and βn = P. ... n2 (Cn) be. the two types of error probabilities associated with an arbitrary sequence of tests {Cn}.

5 Jun 2020: 2000 AMS Subject Classification: 60J05, 60J10, 37A30, 37A25. Department of Informatics, Athens University of Economics and Business, Patission 76, Athens 10434,Greece.

5 Jun 2020: Athens University of Economics & BusinessAthens 10434, Greece. Email: yiannis@aueb.gr. Abstract—Fisher information plays a fundamental role in theanalysis of Gaussian noise channels and in the study of Gaussianapproximations in

5 Jun 2020: Department of Informatics, Athens University of Economics and Business, Patission 76, Athens 10434,Greece.

6 Jun 2020: Athens U of Economics and Business. Motivation and Summary Theory Basic methodology Extensions Discussion.

5 Jun 2020: that we cannot dobetter in a hypothesis test by simply preprocessing the data.

5 Jun 2020: By Ioannis Kontoyiannis and Sean P. Meyn†Athens Univ. of Economics & Business and Univ.

5 Jun 2020: Email:nadine.guillotin@univ-lyon1.fr. Department of Informatics, Athens University of Economics & Business, Patission 76, Athens 10434, Greece.Email: yiannis@aueb.gr.

5 Jun 2020: The first one formalizes the intuitive idea that we cannotdo better in a hypothesis test by simply pre-processing the data.

5 Jun 2020: Petros Dellaportas and Ioannis Kontoyiannis. Athens University of Economics and Business, Greece.

5 Jun 2020: particularly because of some of the connections that were already mentioned, with economics and biology.

5 Jun 2020: Department of Informatics, Athens University of Economics and Business, Patission 76, Athens 10434, Greece.

5 Jun 2020: 4228 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 56, NO. 9, SEPTEMBER 2010. Thinning, Entropy, and the Law of Thin NumbersPeter Harremoës, Member, IEEE, Oliver Johnson, and Ioannis Kontoyiannis, Senior Member, IEEE. Abstract—Rényi’s thinning

5 Jun 2020: Email:O.Johnson@bristol.ac.uk. Department of Informatics, Athens University of Economics & Business, Patission 76, Athens 10434,Greece.

5 Jun 2020: of these technologies in a functional test bed. ... satellite images and on classical test images are summarized in Figure 4.

5 Jun 2020: C. Gioran and I. Kontoyiannis are with Department of Informatics, Athens University of Economics andBusiness, Patission 76, Athens 10434, Greece.

5 Jun 2020: Corresponding author. Department of Informatics, Athens University of Economics and Business, Patis-sion 76, Athens 10434, Greece.

5 Jun 2020: bDepartment of Informatics, Athens University of Economics & Business, Patission 76, Athens 10434, Greece.

5 Jun 2020: IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 60, NO. 2, FEBRUARY 2014 777. Optimal Lossless Data Compression:Non-Asymptotics and Asymptotics. Ioannis Kontoyiannis, Fellow, IEEE, and Sergio Verdú, Fellow, IEEE. Abstract— This paper provides an