12 research outputs found
Spherical monadic adjunctions of stable infinity categories
This paper concerns spherical adjunctions of stable -categories and
their relation to monadic adjunctions. We begin with a proof of the 2/4
property of spherical adjunctions in the setting of stable -categories.
The proof is based on the description of spherical adjunctions as 4-periodic
semiorthogonal decompositions given by Halpern-Leistner, Shipman and by
Dyckerhoff, Kapranov, Schechtman, Soibelman. We then describe a class of
examples of spherical adjunctions arising from local systems on spheres. The
main result of this paper is a characterization of the sphericalness of a
monadic adjunctions in terms of properties of the monad. Namely, a monadic
adjunction is spherical if and only if the twist functor is an equivalence and
commutes with the unit map of the monad. This characterization is inspired by
work of Ed Segal.Comment: 42 pages, comments welcome. v2: minor changes, added further
acknowledgement
Geometric models for the derived categories of Ginzburg algebras of n-angulated surfaces via local-to-global principles
We relate the derived category of a relative Ginzburg algebra of an
-angulated surface to the geometry of the surface. Results include the
description of a subset of the objects in the derived category in terms of
curves in the surface and their Homs in terms of intersection. By using the
description of these derived categories as the global sections of perverse
schobers, we arrive at the geometric model through gluing local data. Most
results also hold for the perverse schobers defined over any commutative ring
spectrum. As an application of the geometric model in the case , we match
some Ext-groups in the derived categories of these relative Ginzburg algebras
and the extended mutation matrices of a class of cluster algebras with
coefficients, associated to multi-laminated marked surfaces by Fomin-Thurston.
Finally, we also consider a modified version of the perverse schober for
triangulated surfaces with punctures.Comment: 70 pages, v3) minor changes, updated reference
Perverse schobers, stability conditions and quadratic differentials
There are multiple classes of triangulated categories arising from marked
surfaces whose spaces of stability conditions are described by moduli spaces of
quadratic differentials on the surfaces. We unify the approaches for describing
their spaces of stability conditions and apply this to new classes of examples.
This generalizes the results of Bridgeland--Smith to quadratic differentials
with arbitrary singularity type (zero/pole/exponential). The novel examples
include the derived categories of relative graded Brauer graph algebras. The
main computational tool are perverse schobers, which allow us to relate hearts
of -structures to mixed-angulations of the surface and tilts of the former
with flips of the latter. This is complemented by another approach based on
deforming Fukaya -categories of surfaces and transfers of stability
conditions.Comment: 75 pages, comments welcome
Deep Learning-Based Automated Detection of Retinal Breaks and Detachments on Fundus Photography.
PURPOSE
The purpose of this study was to develop a deep learning algorithm, to detect retinal breaks and retinal detachments on ultra-widefield fundus (UWF) optos images using artificial intelligence (AI).
METHODS
Optomap UWF images of the database were annotated to four groups by two retina specialists: (1) retinal breaks without detachment, (2) retinal breaks with retinal detachment, (3) retinal detachment without visible retinal breaks, and (4) a combination of groups 1 to 3. The fundus image data set was split into a training set and an independent test set following an 80% to 20% ratio. Image preprocessing methods were applied. An EfficientNet classification model was trained with the training set and evaluated with the test set.
RESULTS
A total of 2489 UWF images were included into the dataset, resulting in a training set size of 2008 UWF images and a test set size of 481 images. The classification models achieved an area under the receiver operating characteristic curve (AUC) on the testing set of 0.975 regarding lesion detection, an AUC of 0.972 for retinal detachment and an AUC of 0.913 for retinal breaks.
CONCLUSIONS
A deep learning system to detect retinal breaks and retinal detachment using UWF images is feasible and has a good specificity. This is relevant for clinical routine as there can be a high rate of missed breaks in clinics. Future clinical studies will be necessary to evaluate the cost-effectiveness of applying such an algorithm as an automated auxiliary tool in a large practices or tertiary referral centers.
TRANSLATIONAL RELEVANCE
This study demonstrates the relevance of applying AI in diagnosing peripheral retinal breaks in clinical routine in UWF fundus images
Genetic Deletion of Cell Division Autoantigen 1 Retards Diabetes-Associated Renal Injury
A new dielectric metamaterial building block with a strong magnetic response in the sub-1.5-micrometer region: Silicon colloid nanocavities
A new dielectric metamaterial building block based on high refractive index silicon spherical nanocavities with Mie resonances appearing in the near infrared optical region is prepared and characterized. It is demonstrated both experimentally and theoretically that a single silicon nanocavity supports well-defined and robust magnetic resonances, even in a liquid medium environment, at wavelength values up to six times larger than the cavity radius. Copyright © 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.The authors acknowledge financial support from the following projects FIS2009-07812, Consolider 2007-0046 Nanolight, and the PROMETEO/2010/043. L. S. thanks the financial support from the MINECO (Estancias de profesores e investigadores extranjeros en centros espanoles) fellowship program. T. U. T. acknowledges the FPI fellowship the MINECO.Shi, L.; Tuzer, TU.; Fenollosa Esteve, R.; Meseguer Rico, FJ. (2012). A new dielectric metamaterial building block with a strong magnetic response in the sub-1.5-micrometer region: Silicon colloid nanocavities. Advanced Materials. 24(44):5934-5938. https://doi.org/10.1002/adma.201201987S593459382444Smith, D. R. (2004). Metamaterials and Negative Refractive Index. Science, 305(5685), 788-792. doi:10.1126/science.1096796Soukoulis, C. M., Kafesaki, M., & Economou, E. N. (2006). Negative-Index Materials: New Frontiers in Optics. Advanced Materials, 18(15), 1941-1952. doi:10.1002/adma.200600106Soukoulis, C. M., & Wegener, M. (2011). Past achievements and future challenges in the development of three-dimensional photonic metamaterials. Nature Photonics, 5(9), 523-530. doi:10.1038/nphoton.2011.154Linden, S. (2004). Magnetic Response of Metamaterials at 100 Terahertz. Science, 306(5700), 1351-1353. doi:10.1126/science.1105371Enkrich, C., Wegener, M., Linden, S., Burger, S., Zschiedrich, L., Schmidt, F., … Soukoulis, C. M. (2005). Magnetic Metamaterials at Telecommunication and Visible Frequencies. Physical Review Letters, 95(20). doi:10.1103/physrevlett.95.203901Merlin, R. (2009). Metamaterials and the Landau–Lifshitz permeability argument: Large permittivity begets high-frequency magnetism. Proceedings of the National Academy of Sciences, 106(6), 1693-1698. doi:10.1073/pnas.0808478106Shelby, R. A. (2001). Experimental Verification of a Negative Index of Refraction. Science, 292(5514), 77-79. doi:10.1126/science.1058847Zhang, X., & Liu, Z. (2008). Superlenses to overcome the diffraction limit. Nature Materials, 7(6), 435-441. doi:10.1038/nmat2141Schurig, D., Mock, J. J., Justice, B. J., Cummer, S. A., Pendry, J. B., Starr, A. F., & Smith, D. R. (2006). Metamaterial Electromagnetic Cloak at Microwave Frequencies. Science, 314(5801), 977-980. doi:10.1126/science.1133628Enkrich, C., Pérez-Willard, F., Gerthsen, D., Zhou, J. F., Koschny, T., Soukoulis, C. M., … Linden, S. (2005). Focused-Ion-Beam Nanofabrication of Near-Infrared Magnetic Metamaterials. Advanced Materials, 17(21), 2547-2549. doi:10.1002/adma.200500804Grigorenko, A. N., Geim, A. K., Gleeson, H. F., Zhang, Y., Firsov, A. A., Khrushchev, I. Y., & Petrovic, J. (2005). Nanofabricated media with negative permeability at visible frequencies. Nature, 438(7066), 335-338. doi:10.1038/nature04242Liu, N., Guo, H., Fu, L., Kaiser, S., Schweizer, H., & Giessen, H. (2007). Plasmon Hybridization in Stacked Cut-Wire Metamaterials. Advanced Materials, 19(21), 3628-3632. doi:10.1002/adma.200700123Linden, S., Enkrich, C., Dolling, G., Klein, M. W., Zhou, J., Koschny, T., … Wegener, M. (2006). Photonic Metamaterials: Magnetism at Optical Frequencies. IEEE Journal of Selected Topics in Quantum Electronics, 12(6), 1097-1105. doi:10.1109/jstqe.2006.880600Husnik, M., Klein, M. W., Feth, N., König, M., Niegemann, J., Busch, K., … Wegener, M. (2008). Absolute extinction cross-section of individual magnetic split-ring resonators. Nature Photonics, 2(10), 614-617. doi:10.1038/nphoton.2008.181Boudarham, G., Feth, N., Myroshnychenko, V., Linden, S., García de Abajo, J., Wegener, M., & Kociak, M. (2010). Spectral Imaging of Individual Split-Ring Resonators. Physical Review Letters, 105(25). doi:10.1103/physrevlett.105.255501Banzer, P., Peschel, U., Quabis, S., & Leuchs, G. (2010). On the experimental investigation of the electric and magnetic response of a single nano-structure. Optics Express, 18(10), 10905. doi:10.1364/oe.18.010905Popa, B.-I., & Cummer, S. A. (2008). Compact Dielectric Particles as a Building Block for Low-Loss Magnetic Metamaterials. Physical Review Letters, 100(20). doi:10.1103/physrevlett.100.207401Zhao, Q., Zhou, J., Zhang, F., & Lippens, D. (2009). Mie resonance-based dielectric metamaterials. Materials Today, 12(12), 60-69. doi:10.1016/s1369-7021(09)70318-9O’Brien, S., & Pendry, J. B. (2002). Photonic band-gap effects and magnetic activity in dielectric composites. Journal of Physics: Condensed Matter, 14(15), 4035-4044. doi:10.1088/0953-8984/14/15/317Zheludev, N. I. (2010). The Road Ahead for Metamaterials. Science, 328(5978), 582-583. doi:10.1126/science.1186756Peng, L., Ran, L., Chen, H., Zhang, H., Kong, J. A., & Grzegorczyk, T. M. (2007). Experimental Observation of Left-Handed Behavior in an Array of Standard Dielectric Resonators. Physical Review Letters, 98(15). doi:10.1103/physrevlett.98.157403Schuller, J. A., Zia, R., Taubner, T., & Brongersma, M. L. (2007). Dielectric Metamaterials Based on Electric and Magnetic Resonances of Silicon Carbide Particles. Physical Review Letters, 99(10). doi:10.1103/physrevlett.99.107401Zhao, Q., Kang, L., Du, B., Zhao, H., Xie, Q., Huang, X., … Li, L. (2008). Experimental Demonstration of Isotropic Negative Permeability in a Three-Dimensional Dielectric Composite. Physical Review Letters, 101(2). doi:10.1103/physrevlett.101.027402Ginn, J. C., Brener, I., Peters, D. W., Wendt, J. R., Stevens, J. O., Hines, P. F., … Sinclair, M. B. (2012). Realizing Optical Magnetism from Dielectric Metamaterials. Physical Review Letters, 108(9). doi:10.1103/physrevlett.108.097402García-Etxarri, A., Gómez-Medina, R., Froufe-Pérez, L. S., López, C., Chantada, L., Scheffold, F., … Sáenz, J. J. (2011). Strong magnetic response of submicron Silicon particles in the infrared. Optics Express, 19(6), 4815. doi:10.1364/oe.19.004815Shi, L., Xifré-Pérez, E., García de Abajo, F. J., & Meseguer, F. (2012). Looking through the mirror: Optical microcavity-mirror image photonic interaction. Optics Express, 20(10), 11247. doi:10.1364/oe.20.011247Fenollosa, R., Meseguer, F., & Tymczenko, M. (2008). Silicon Colloids: From Microcavities to Photonic Sponges. Advanced Materials, 20(1), 95-98. doi:10.1002/adma.200701589Harris, J. T., Hueso, J. L., & Korgel, B. A. (2010). Hydrogenated Amorphous Silicon (a-Si:H) Colloids. Chemistry of Materials, 22(23), 6378-6383. doi:10.1021/cm102486wEvlyukhin, A. B., Novikov, S. M., Zywietz, U., Eriksen, R. L., Reinhardt, C., Bozhevolnyi, S. I., & Chichkov, B. N. (2012). Demonstration of Magnetic Dipole Resonances of Dielectric Nanospheres in the Visible Region. Nano Letters, 12(7), 3749-3755. doi:10.1021/nl301594sKuznetsov, A. I., Miroshnichenko, A. E., Fu, Y. H., Zhang, J., & Luk’yanchuk, B. (2012). Magnetic light. Scientific Reports, 2(1). doi:10.1038/srep00492Fenollosa, R., Ramiro-Manzano, F., Tymczenko, M., & Meseguer, F. (2010). Porous silicon microspheres: synthesis, characterization and application to photonic microcavities. Journal of Materials Chemistry, 20(25), 5210. doi:10.1039/c0jm00079eBohren, C. F., & Huffman, D. R. (1998). Absorption and Scattering of Light by Small Particles. doi:10.1002/9783527618156Christ, A., Martin, O. J. F., Ekinci, Y., Gippius, N. A., & Tikhodeev, S. G. (2008). Symmetry Breaking in a Plasmonic Metamaterial at Optical Wavelength. Nano Letters, 8(8), 2171-2175. doi:10.1021/nl0805559Xiao, S., Chettiar, U. K., Kildishev, A. V., Drachev, V., Khoo, I. C., & Shalaev, V. M. (2009). Tunable magnetic response of metamaterials. Applied Physics Letters, 95(3), 033115. doi:10.1063/1.3182857Yu, X., Shi, L., Han, D., Zi, J., & Braun, P. V. (2010). High Quality Factor Metallodielectric Hybrid Plasmonic-Photonic Crystals. Advanced Functional Materials, 20(12), 1910-1916. doi:10.1002/adfm.201000135Vendik, I. B., Odit, M. A., & Kozlov, D. S. (2009). 3D isotropic metamaterial based on a regular array of resonant dielectric spherical inclusions. Metamaterials, 3(3-4), 140-147. doi:10.1016/j.metmat.2009.09.001Doicu, A., Wriedt, T., & Eremin, Y. A. (2006). Light Scattering by Systems of Particles. Springer Series in OPTICAL SCIENCES. doi:10.1007/978-3-540-33697-