170,415 research outputs found
On sheaves of Abelian groups and universality
No full text[EN] Universal elements are one of the most essential parts in research fields, investigating if there exist (or not) universal elements in different classes of objects. For example, classes of spaces and frames have been studied under the prism of this universality property. In this paper, studying classes of sheaves of Abelian groups, we construct proper universal elements for these classes, giving a positive answer to the existence of such elements in these classes. Moscow Center of Fundamental and Applied MathematicsIliadis, S.; Sadovnichy, YV. (2021). On sheaves of Abelian groups and universality. Applied General Topology. 22(1):149-167. https://doi.org/10.4995/agt.2021.14422OJS149167221G. E. Bredon, Sheaf Theory, McGraw-Hill, New York, 1967T. Dube, S. Iliadis, J. van Mill and I. Naidoo, Universal frames, Topology and its Applications 160, no. 18 (2013), 2454-2464. https://doi.org/10.1016/j.topol.2013.07.039D. N. Georgiou, S. D. Iliadis and A. C. Megaritis, On base dimension-like functions of the type Ind, Topology and its Applications 160, no. 18 (2013), 2482-2494. https://doi.org/10.1016/j.topol.2013.07.042D. N. Georgiou, S. D. Iliadis, A. C. Megaritis and F. Sereti, Universality property and dimension for frames, Order 37, no. 3 (2019), 427-444. https://doi.org/10.1007/s11083-019-09513-3D. N. Georgiou, S. D. Iliadis, A. C. Megaritis and F. Sereti, Small inductive dimension and universality on frames, Algebra Universalis 80, no. 2 (2019), 21-51. https://doi.org/10.1007/s00012-019-0593-5P. S. Gevorgyan, S. D. Iliadis and Yu V. Sadovnichy, Universality on frames, Topology and its Applications 220 (2017), 173-188. https://doi.org/10.1016/j.topol.2017.02.010S. D. Iliadis, A construction of containing spaces, Topology and its Applications 107 (2000), 97-116. https://doi.org/10.1016/S0166-8641(00)90095-6S. D. Iliadis, Mappings and universality, Topology and its Applications 137, no. 1-3 (2004), 175-186. https://doi.org/10.1016/S0166-8641(03)00207-4S. D. Iliadis, Universal Spaces and Mappings, North-Holland Mathematics Studies 198, Elsevier, 2005.S. D. Iliadis, On isometrically universal spaces, mappings, and actions of groups, Topology and its Applications 155, no. 14 (2008), 1502-1515. https://doi.org/10.1016/j.topol.2008.03.006S. D. Iliadis, Universal elements in some classes of mappings and classes of G-spaces, Topology and its Applications 156, no. 1 (2008), 76-82. https://doi.org/10.1016/j.topol.2008.04.010S. D. Iliadis, A separable complete metric space of dimension n containing isometrically all compact metric spaces of dimension n, Topology and its Applications 160, no. 11 (2013), 1271-1283. https://doi.org/10.1016/j.topol.2013.04.020S. D. Iliadis and I. Naidoo, On isometric embeddings of compact metric spaces of a countable dimension, Topology and its Applications 160, no. 11 (2013), 1284-1291. https://doi.org/10.1016/j.topol.2013.04.021S. D. Iliadis, On embeddings of topological groups, Fundamental and Applied Mathematics 20, no. 2 (2015), 105-112 (Russian). Journal of Mathematical Sciences 223, no. 6 (2017), 720-724 (English). https://doi.org/10.1007/s10958-017-3381-9S. D. Iliadis, On isometric embeddings of separable metric spaces, Topology and its Applications 179 (2015), 91-98. https://doi.org/10.1016/j.topol.2014.08.019S. D. Iliadis, Dimension and universality on frames, Topology and its Applications 201 (2016), 92-109. https://doi.org/10.1016/j.topol.2015.12.029S. D. Iliadis, On spaces continuously containing topological groups, Topology and its Applications 272 (2020),107072. https://doi.org/10.1016/j.topol.2020.107072S. D. Iliadis, On actions of spaces continuously containing topological groups, Topology and its Applications 275 (2020), 107035. https://doi.org/10.1016/j.topol.2019.10703
Classifying the differences in gaze patterns of alphabetic and logographic L1 readers - A neural network approach
No full textKrause AF, Essig K, Essig-Shih L-Y, Schack T. Classifying the differences in gaze patterns of alphabetic and logographic L1 readers - A neural network approach. In: Iliadis L, Jayne C, eds. Engineering Applications of Neural Networks, The 12th Engineering Applications of Neural Networks Conference (EANN2011). 2011: 78-84
ART-based Fusion of Multi-Modal Information for Mobile Robots
No full textBerghöfer E, Schulze D, Tscherepanow M, Wachsmuth S. ART-based Fusion of Multi-Modal Information for Mobile Robots. In: Iliadis L, Jayne C, eds. Proceedings of the International Conference on Engineering Applications of Neural Networks (EANN). IFIP Advances in Information and Communication Technology. Vol 363. Berlin: Springer; 2011: 1-10.Robots operating in complex environments shared with humans are confronted with numerous problems. One important problem is the identification of obstacles and interaction partners. In order to reach this goal, it can be beneficial to use data from multiple available sources, which need to be processed appropriately. Furthermore, such environments are not static. Therefore, the robot needs to learn novel objects. In this paper, we propose a method for learning and identifying obstacles based on multi-modal information. As this approach is based on Adaptive Resonance Theory networks, it is inherently capable of incremental online learning
Going Beyond Counting First Authors in Author Co-citation Analysis
No full textThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
The Thermonuclear Runaway and the Classical Nova Outburst
No full textNova explosions occur on the white dwarf component of a Cataclysmic Variable binary stellar system that is accreting matter lost by its companion. When sufficient material has been accreted by the white dwarf, a thermonuclear runaway occurs and ejects material in what is observed as a Classical Nova explosion. We describe both the recent advances in our understanding of the progress of the outburst and outline some of the puzzles that are still outstanding. We report on the effects of improving both the nuclear reaction rate library and including a modern nuclear reaction network in our one-dimensional, fully implicit, hydrodynamic computer code. In addition, there has been progress in observational studies of Supernovae Ia with implications about the progenitors and we discuss that in this review. Starrfield, S; Iliadis, C; Hix, W
Mitomycin C in highly myopic eyes - Author reply
No full textOphthalmology. 2005 Feb;112(2):208-18; discussion 219.
Mitomycin C modulation of corneal wound healing after photorefractive keratectomy in highly myopic eyes.
Gambato C, Ghirlando A, Moretto E, Busato F, Midena E.
SourceRefractive Surgery Service and Antimetabolite Therapy Research Unit, Department of Ophthalmology, University of Padova, Padova, Italy.
Abstract
PURPOSE: To evaluate the role of topical mitomycin C in corneal wound healing (CWH) after photorefractive keratectomy (PRK) in highly myopic eyes.
DESIGN: Prospective, double-masked, randomized clinical trial.
PARTICIPANTS: Seventy-two eyes of 36 patients affected by high (>7 diopters) myopia.
METHODS: In each patient, one eye was randomly assigned to PRK with intraoperative topical 0.02% mitomycin C application, and the fellow eye was treated with a placebo. Postoperatively, mitomycin C-treated eyes received artificial tears (3 times daily, tapered in 3 months), whereas the fellow eye was treated with fluorometholone sodium 2% and artificial tears (3 times daily, tapered in 3 months).
MAIN OUTCOME MEASURES: Uncorrected visual acuity (UCVA) and best-corrected visual acuity (BCVA), contrast sensitivity, manifest refraction, and biomicroscopy. Contrast sensitivity was determined using the Pelli-Robson chart. Corneal confocal microscopy documented CWH.
RESULTS: Mean follow-up was 18 months (range, 12-36). No side effects or toxic effects were documented. At 12-month follow-up examination, UCVAs (logarithm of the minimum angle of resolution) were 0.4+/-0.48 and 0.5+/-0.53 (P = .03) in mitomycin C-treated eyes and corticosteroid-treated eyes, respectively. At 1 year, corneal haze developed in 20% of corticosteroid-treated eyes, versus 0% of mitomycin C-treated eyes. At 12, 24, and 36 months, corneal confocal microscopy showed activated keratocytes and extracellular matrix significantly more evident in untreated eyes (Ps = 0.004, 0.024, and 0.046, respectively).
CONCLUSION: Topical intraoperative application of 0.02% mitomycin C can reduce haze formation in highly myopic eyes undergoing PRK.
Comment in
Ophthalmology. 2006 Feb;113(2):357; author reply 357-8
One-Class Intrusion Detection with Dynamic Graphs
No full textLiuliakov A, Schulz A, Hermes L, Hammer B. One-Class Intrusion Detection with Dynamic Graphs. In: Iliadis L, Papaleonidas A, Angelov P, Jayne C, eds. Artificial Neural Networks and Machine Learning – ICANN 2023. 32nd International Conference on Artificial Neural Networks, Heraklion, Crete, Greece, September 26–29, 2023, Proceedings, Part IV. Lecture Notes in Computer Science. Cham: Springer Nature Switzerland; 2023: 537-549
Dispelling the Myths Behind First-author Citation Counts
No full textWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
On the base dimension I and the property of universality
No full textAbstractIn Iliadis (2005) [13] for an ordinal α the notion of the so-called (bn-Ind⩽α)-dimensional normal base C for the closed subsets of a space X was introduced. This notion is defined similarly to the classical large inductive dimension Ind. In this case we shall write here I(X,C)⩽α and say that the base dimension I of the space X by the normal base C is less than or equal to α. The classical large inductive dimension Ind of a normal space X, the large inductive dimension Ind0 of a Tychonoff space X defined independently by Charalambous and Filippov, as well as, the relative inductive dimension defined by Chigogidze for a subspace X of a Tychonoff space Y may be considered as the base dimension I of X by normal bases Z(X) (all closed subsets of X), Z(X) (all functionally closed subsets of X), and Z(X,Y)={X∩F:F∈Z(Y)}, respectively.In the present paper, we shall consider normal bases of spaces consisting of functionally closed subsets. In particular, we introduce new dimension invariant Ind0w: for a space X, Ind0w(X) is the minimal element α of the class O∪{−1,∞}, where O is the class of all ordinals, for which there exists a normal base C on X consisting of functionally closed subsets such that I(X,C)⩽α. We prove that in the class of all completely regular spaces X of weight less than or equal to a given infinite cardinal τ such that Ind0w(X)⩽n∈ω there exist universal spaces. However, the following questions are open.(1) Are there universal elements in the class of all normal (respectively, of all compact) spaces X of weight ⩽τ with Ind0w(X)⩽n∈ω?(2) Are there universal elements in the class of all Tychonoff (respectively, of all normal) spaces X of weight ⩽τ with Ind0(X)⩽n∈ω? (Note that Ind0w(X)=Ind0(X) for a compact space X.
No-Prop-fast - A High-Speed Multilayer Neural Network Learning Algorithm: MNIST Benchmark and Eye-Tracking Data Classification
No full textKrause AF, Essig K, Piefke M, Schack T. No-Prop-fast - A High-Speed Multilayer Neural Network Learning Algorithm: MNIST Benchmark and Eye-Tracking Data Classification. In: Iliadis L, Papadopoulos H, Jayne C, eds. Engineering Applications of Neural Networks: 14th International Conference, EANN 2013, Halkidiki, Greece, September 13-16, 2013 Proceedings, Part I. Berlin, Heidelberg: Springer Berlin Heidelberg; 2013: 446--455
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