Concept
Compactly generated space
Related publications (30)
On the number of regions of piecewise linear neural networks
Michaël Unser, Alexis Marie Frederic Goujon
Many feedforward neural networks (NNs) generate continuous and piecewise-linear (CPWL) mappings. Specifically, they partition the input domain into regions on which the mapping is affine. The number of these so-called linear regions offers a natural metric ...
2024Data-Driven Discovery of Organic Electronic Materials Enabled by Hybrid Top-Down/Bottom-Up Design
Rubén Laplaza Solanas, Sergio Vela Llausi, Jacob Terence Blaskovits
The high-throughput exploration and screening of molecules for organic electronics involves either a 'top-down' curation and mining of existing repositories, or a 'bottom-up' assembly of user-defined fragments based on known synthetic templates. Both are t ...
Weinheim2023Control and Characterization of the Compactness of Single-Chain Nanoparticles
Francesco Stellacci, Luciano Andres Abriata, Lixia Wei, Suiyang Liao
Polymers when self-cross-linked into single-chain nanoparticles bear some resemblance to folded proteins; yet proteins have clear energy landscapes that determine precisely folded structures, while single-chain polymer nanoparticles (SCNPs) have more undef ...
AMER CHEMICAL SOC2021Regularity of solutions for a fourth-order elliptic system via Conservation law
In this paper, we obtain interior Holder continuity for solutions of the fourth-order elliptic system Delta(2)u = Delta(V center dot del u) + div(w del u) + W center dot del u formulated by Lamm and Riviere [Comm. Partial Differential Equations 33 (2008) 2 ...
2019Coherent generation of symmetry-forbidden phonons by light-induced electron-phonon interactions in magnetite
Oleg Yazyev, Fabrizio Carbone, Frank van Mourik, Christopher Alexander Arrell, Edoardo Baldini, Andreas Helmut Christian Mann, Simone Borroni
Symmetry breaking across phase transitions often causes changes in selection rules and emergence of optical modes which can be detected via spectroscopic techniques or generated coherently in pump-probe experiments. In second-order or weakly first-order tr ...
Amer Physical Soc2017