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Finally, we present a comprehensive numerical study of the effect of approxima- tion-theoretical results for neural networks on practical learning problems in ...
A Theoretical Analysis of Deep. Neural Networks and Parametric PDEs. Constr. Approx., to appear (arXiv:1904.00377). Page 8. 1922. Oberwolfach ...
notions of efficient computability were equivalent. ... So I had to learn, and I still have to learn much more mathematics, especially in- variant theory, ...
computability for certain problem classes in numerical analysis. The current state of signal processing, learning theory, and numerical computation can be ...
In the past decade, Mark Braverman has emerged as a major leader in theoretical computer science. He has an uncommon versatility and fearlessness that has ...
of mathematics (e.g., mathematical systems theory, control theory, dynamical sys- ... Sergeraert, The computability problem in Algebraic Topology, Advances ...
Apr 25, 2018 ... an algebraic approach, using elementary group theory, Artin-Schreier theory and. Kummer theory. ... remarks that by computability theory, there is ...
In this talk we address this problem and provide sufficient conditions that guarantee polynomial time computability of SoS proofs. Polynomial optimization ...
work of Bowen [2] on the ergodic theory of sofic groups to prove Theorem 1.7. ... Rogers, Jr., Theory of recursive functions and effective computability. 2nd ...
Jan 9, 2025 ... Scientific theories of proof and computability can then be developed on this basis, but the philosophical debate will continue on the ...