Browsing Mathematics by Title
Now showing items 1357-1376 of 1478
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There is no McLaughlin geometry
(2018-04) -
Thermodynamics of magnetized binary compact objects
(2010-11-30) -
Three learning stages and accuracy-efficiency tradeoff of restricted Boltzmann machines.
(2022-09-17)Restricted Boltzmann Machines (RBMs) offer a versatile architecture for unsupervised machine learning that can in principle approximate any target probability distribution with arbitrary accuracy. However, the RBM model ... -
The three way Dirac operator and dynamical Turing and Dirac induced patterns on nodes and links
(Elsevier, 2023-12-05) -
Time-dependent wave equations on graded groups
(Springer, 2021-02)In this paper we consider the wave equations for hypoelliptic homogeneous left-invariant operators on graded Lie groups with time-dependent H\"older propagation speeds. The examples are the time-dependent wave equation for ... -
A Topological Criterion for Filtering Information in Complex Brain Networks.
(2017-01)In many biological systems, the network of interactions between the elements can only be inferred from experimental measurements. In neuroscience, non-invasive imaging tools are extensively used to derive either structural ... -
The topological Dirac equation of networks and simplicial complexes
(IOP Publishing, 2021-09-14)We define the topological Dirac equation describing the evolution of a topological wave function on networks or on simplicial complexes. On networks, the topological wave function describes the dynamics of topological ... -
Topological embeddings into random 2-complexes
(2021-01-06) -
Topological percolation on hyperbolic simplicial complexes
(2018-11-21) -
A topological perspective on weather regimes
(Springer, 2022-07-06)It has long been suggested that the mid-latitude atmospheric circulation possesses what has come to be known as `weather regimes', loosely categorised as regions of phase space with above-average density and/or extended ... -
Topological rigidity of linear cellular automaton shifts
(Elsevier, 2018-07-11) -
topological techniques in model selection
(New York Business Global, Maryland, UK, 2023-05-04)This paper is concerned with enhancing the performance of Lasso for squarefree hierarchical polynomial models. We propose a compound crite- rion that combines validation error with a measure of model complexity, and the ... -
Topology and dynamics of higher-order multiplex networks
(Elsevier, 2023-11)Higher-order networks are gaining significant scientific attention due to their ability to encode the many-body interactions present in complex systems. However, higher-order networks have the limitation that they only ... -
Topology of parametrised motion planning algorithms
(Society for Industrial and Applied Mathematics, 2021)We introduce and study a new concept of parameterised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high ...