Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Mirko Klukas"'
Publikováno v:
Frontiers in Neural Circuits, Vol 12 (2019)
How the neocortex works is a mystery. In this paper we propose a novel framework for understanding its function. Grid cells are neurons in the entorhinal cortex that represent the location of an animal in its environment. Recent evidence suggests tha
Externí odkaz:
https://doaj.org/article/6bac54ab9e994fc9b5201a008ffa9917
Autor:
Mirko Klukas, Tomás Lozano-Pérez, Sugandha Sharma, Yilun Du, Leslie Pack Kaelbling, Ila Fiete
When animals explore spatial environments, their representations often fragment into multiple maps. What determines these map fragmentations, and can we predict where they will occur with simple principles? We pose the problem of fragmentation of an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0dd777345ae42eb1f67b5d9f35d65f31
https://doi.org/10.1101/2021.10.29.466499
https://doi.org/10.1101/2021.10.29.466499
Publikováno v:
PLoS Computational Biology, Vol 16, Iss 4, p e1007796 (2020)
PLoS Computational Biology
PLoS Computational Biology
We shed light on the potential of entorhinal grid cells to efficiently encode variables of dimension greater than two, while remaining faithful to empirical data on their low-dimensional structure. Our model constructs representations of high-dimensi
Publikováno v:
Cell. 183:1147-1148
Whittington et al. demonstrate how network architectures defined in a spatial context may be useful for inference on different types of relational knowledge. These architectures allow for learning the structure of the environment and then transferrin
We shed light on the theoretical capabilities of entorhinal grid cells to encode variables of dimension greater than two. Our model constructs representations of high-dimensional inputs through a combination of low-dimensional random projections and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b0337c789740e998684b404bd1b90b6
https://doi.org/10.1101/578641
https://doi.org/10.1101/578641
Publikováno v:
Frontiers in Neural Circuits
Frontiers in Neural Circuits, Vol 12 (2019)
Frontiers in Neural Circuits, Vol 12 (2019)
How the neocortex works is a mystery. In this paper we propose a novel framework for understanding its function. Grid cells are neurons in the entorhinal cortex that represent the location of an animal in its environment. Recent evidence suggests tha
We give explicit formulas and algorithms for the computation of the Thurston-Bennequin invariant of a nullhomologous Legendrian knot on a page of a contact open book and on contact Heegaard surfaces. Furthermore, we extend the results to rationally n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::06754e10b63f07aac155d9502d3b9f3d
Autor:
Mirko Klukas
Publikováno v:
International Journal of Mathematics. 29:1850026
Given two open books with equal pages we show the existence of an exact symplectic cobordism whose negative end equals the disjoint union of the contact manifolds associated to the given open books, and whose positive end induces the contact manifold
Autor:
Hansjörg Geiges, Mirko Klukas
We show that the fundamental group of the space of contact structures on the 3-torus (based at the standard contact structure) is isomorphic to the integers.
4 pages
4 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6ff73db03c0f419165a06bc25c6b2f9
http://arxiv.org/abs/1210.5444
http://arxiv.org/abs/1210.5444
Autor:
Mirko Klukas
Publikováno v:
Algebr. Geom. Topol. 16, no. 3 (2016), 1253-1277
In the present paper we describe compatible open books for the fibre connected sum along binding components of open books, as well as for the fibre connected sum along multi-sections of open books. As an application the first description provides sim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4f20324fdd34badafa35b5205393b78
http://arxiv.org/abs/1207.3958
http://arxiv.org/abs/1207.3958