Results 11 to 20 of about 6,504,546 (373)
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley +1 more source
Data‐driven performance metrics for neural network learning
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri+2 more
wiley +1 more source
The existence of two non-contractible closed geodesics on every bumpy Finsler compact space form [PDF]
Let $M=S^n/ \Gamma$ and $h$ be a nontrivial element of finite order $p$ in $\pi_1(M)$, where the integer $n\geq2$, $\Gamma$ is a finite group which acts freely and isometrically on the $n$-sphere and therefore $M$ is diffeomorphic to a compact space form.
Hui Liu, Y. Long, Yuming Xiao
semanticscholar +1 more source
Linear time construction of compressed text indices in compact space [PDF]
We show that the compressed suffix array and the compressed suffix tree for a string of length n over an integer alphabet of size σ ≤ n can both be built in O(n) (randomized) time using only O(n log σ) bits of working space.
Djamal Belazzougui
semanticscholar +1 more source
The spaces of non-contractible closed curves in compact space forms [PDF]
The rational equivariant cohomology of noncontractible loop spaces is calculated for compact space forms. It is also shown how to use these calculations to establish the existence of closed geodesics. Bibliography: 18 titles.
I. Taimanov
semanticscholar +1 more source
BSP-Net: Generating Compact Meshes via Binary Space Partitioning [PDF]
Polygonal meshes are ubiquitous in the digital 3D domain, yet they have only played a minor role in the deep learning revolution. Leading methods for learning generative models of shapes rely on implicit functions, and generate meshes only after ...
Zhiqin Chen, A. Tagliasacchi, Hao Zhang
semanticscholar +1 more source
When is the space of semi-additive functionals an absolute (neighbourhood) retract?
In the present paper proved that if for a given compact Hausdorff space X the hyperspace exp(X) is a contractible compact space then the space OSf(X) is also a contractible compact space.
Adilbek Atakhanovich Zaitov+1 more
doaj +1 more source
Astrophysics with the Laser Interferometer Space Antenna [PDF]
The Laser Interferometer Space Antenna (LISA) will be a transformative experiment for gravitational wave astronomy, and, as such, it will offer unique opportunities to address many key astrophysical questions in a completely novel way.
P. A. Seoane+158 more
semanticscholar +1 more source
On the weak and pointwise topologies in function spaces [PDF]
For a compact space $K$ we denote by $C_w(K)$ ($C_p(K)$) the space of continuous real-valued functions on $K$ endowed with the weak (pointwise) topology. In this paper we address the following basic question which seems to be open: Suppose that $K$ is an
Krupski, Mikołaj
core +2 more sources
On r-Compactness in Topological and Bitopological Spaces
This paper defines the so-called pairwise r-compactness in topological and bitopological spaces. In particular, several inferred properties of the r-compact spaces and their connections with other topological and bitopological spaces are studied ...
Jamal Oudetallah+2 more
doaj +1 more source