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of 209
pro vyhledávání: '"Blažej, M."'
In this article we investigate stationary systems of the AKNS hierarchy. We prove that all these systems are classical separable St\"ackel systems. The explicit transformation from jet variables to separation coordinates is obtained by comparing Lax
Externí odkaz:
http://arxiv.org/abs/2411.19691
A formalism of systematic construction of integrable non-autonomous deformations of soliton hierarchies is presented. The theory is formulated as an initial value problem (IVP) for an associated Frobenius integrability condition on a Lie algebra. It
Externí odkaz:
http://arxiv.org/abs/2407.08656
Evaluating alignment between humans and neural network representations in image-based learning tasks
Autor:
Demircan, Can, Saanum, Tankred, Pettini, Leonardo, Binz, Marcel, Baczkowski, Blazej M, Doeller, Christian F, Garvert, Mona M, Schulz, Eric
Humans represent scenes and objects in rich feature spaces, carrying information that allows us to generalise about category memberships and abstract functions with few examples. What determines whether a neural network model generalises like a human
Externí odkaz:
http://arxiv.org/abs/2306.09377
In this article we investigate stationary cKdV systems and prove that every $N$-field stationary cKdV system can be written, after a careful reparametrization of jet variables, as a classical separable St\"ackel system on $N+1$ different ways. For ea
Externí odkaz:
http://arxiv.org/abs/2305.02282
In this article we study St\"{a}ckel representations of stationary KdV systems. Using Lax formalism we prove that these systems have two different representations as separable St\"{a}ckel systems of Benenti type, related with different foliations of
Externí odkaz:
http://arxiv.org/abs/2204.10632
Publikováno v:
In Reports on Mathematical Physics December 2023 92(3):323-346
Autor:
Erramilli, Satchal K., Dominik, Pawel K., Deneka, Dawid, Tokarz, Piotr, Kim, Sangwoo S., Reddy, Bharat G., Skrobek, Blazej M., Dalmas, Olivier, Perozo, Eduardo, Kossiakoff, Anthony A.
Publikováno v:
In Journal of Molecular Biology 1 September 2023 435(17)
Autor:
Szablikowski, Błażej M.
Publikováno v:
SIGMA 15 (2019), 094, 18 pages
The results from the article [Strachan I.A.B., Szablikowski B.M., Stud. Appl. Math. 133 (2014), 84-117] are extended over consideration of central extensions allowing the introducing of additional independent variables. Algebraic conditions associate
Externí odkaz:
http://arxiv.org/abs/1906.08388
Publikováno v:
In Trends in Cognitive Sciences May 2023 27(5):456-467
Akademický článek
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