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International Symposium of Robotics Research, 2022
Traditionally, robots are regarded as universal motion generation machines. They are designed mainly by kinematics considerations while the desired dynamics is imposed by strong actuators and high-rate control loops.
A. Albu-Schäffer, Arne Sachtler
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Traditionally, robots are regarded as universal motion generation machines. They are designed mainly by kinematics considerations while the desired dynamics is imposed by strong actuators and high-rate control loops.
A. Albu-Schäffer, Arne Sachtler
semanticscholar +1 more source
Vladimir Abramovich Rokhlin and algebraic topology
Topology, Geometry, and Dynamics, 2021The article considers the scientific heritage of V. A. Rokhlin in algebraic topology from the point of view of the modern development of mathematics and shows the influence of his results on the development of algebraic topology up to the present.
V. Buchstaber
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, 2018
We study a Grothendieck topology on schemes which we call the $\mathrm{arc}$-topology. This topology is a refinement of the $v$-topology (the pro-version of Voevodsky's $h$-topology) where covers are tested via rank $\leq 1$ valuation rings.
B. Bhatt, A. Mathew
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We study a Grothendieck topology on schemes which we call the $\mathrm{arc}$-topology. This topology is a refinement of the $v$-topology (the pro-version of Voevodsky's $h$-topology) where covers are tested via rank $\leq 1$ valuation rings.
B. Bhatt, A. Mathew
semanticscholar +1 more source
Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology
International Conference on Learning Representations, 2018While many approaches to make neural networks more fathomable have been proposed, they are restricted to interrogating the network with input data. Measures for characterizing and monitoring structural properties, however, have not been developed.
Bastian Alexander Rieck +6 more
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International Journal of Topology
Persistent homology is a powerful tool in topological data analysis that captures the multi-scale topological features of data. In this work, we provide a mathematical introduction to persistent homology and demonstrate its application to protein–protein
J. A. Rodrigues
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Persistent homology is a powerful tool in topological data analysis that captures the multi-scale topological features of data. In this work, we provide a mathematical introduction to persistent homology and demonstrate its application to protein–protein
J. A. Rodrigues
semanticscholar +1 more source
From Differential Geometry to Non-commutative Geometry and Topology, 2019
Neculai S. Teleman
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Neculai S. Teleman
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Algebraic geometry and group theory in geometric constraint satisfaction
International Symposium on Symbolic and Algebraic Computation, 1994Oscar E. Ruiz S., P. Ferreira
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Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
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