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Generalizing universal function approximators
Nature Machine Intelligence, 2021At the heart of many challenges in scientific research lie complex equations for which no analytical solutions exist. A new neural network model called DeepONet can learn to approximate nonlinear functions as well as operators.
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Generation of universal series-parallel Boolean functions
Journal of the ACM, 1999The structural tree-based mapping algorithm is an efficient and popular technique for technology mapping. In order to make good use of this mapping technique in FTGA design, it is desirable to design FPGA logic modules based on Boolan functions which can be represented by a tree of gates (i.e., series-parallel or SP functions). Thakur and
Fung Yu Young +2 more
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Universal Generalization of Density Functional Theory for Static Correlation
Physical Review Letters, 2023A major challenge for density functional theory (DFT) is its failure to treat static correlation, yielding errors in predicted charges, band gaps, van der Waals forces, and reaction barriers. Here we combine one- and two-electron reduced density matrix (1- and 2-RDM) theories with DFT to obtain a universal O(N^{3}) generalization of DFT for static ...
Daniel Gibney +2 more
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Universal generator of irregular multidimensional multiextremal functions
2017 IEEE East-West Design & Test Symposium (EWDTS), 2017The paper describes the development of a universal test functions generator to validate and setup the algorithms for investigating multiextremal systems characteristics. The main difference between the proposed functions and the set of known multiextremal test functions is their irregularity related to the extremes coordinate location and their ...
Rudolf Neydorf +2 more
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Signature of bridge structure using universal generating function
International Journal of System Assurance Engineering and Management, 2020The present paper deals with real-life bridge structure and evaluates the reliability function with the help of the universal generating function technique where the components of the system have different performance states. The bridge system (complex) is known as the combination of series and the parallel system where the system cannot be simplified ...
Akshay Kumar, Subhi Tyagi, Mangey Ram
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A universal trigonometric function generator
1982 IEEE International Solid-State Circuits Conference. Digest of Technical Papers, 1982A synthesis principle applied to a monolithic circuit capable of generating trigonometric functions (sine, cosine, tangent, cosecant, secant and cotangent, plus arctangent) will be Presented. Analog inputs represent angle and amplitude. Law conformance is as close as ∓ 0.02%.
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A truth-functional logic for near-universal generalizations
Journal of Philosophical Logic, 1990L'A. explore la possibilite de traiter le concept de quasi-universalite en termes d'un quantificateur ajoute a la logique du premier ...
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A generic result concerning univalent universal functions
Archiv der Mathematik, 2004Assume that \(G\) is a Jordan domain in the complex plane \(\mathbb C\), and that \(K \subset \mathbb C\) is a compact set. By \(H(G)\), \(A(G)\), \(A(K)\), \(B(G)\) it is denoted, respectively, the space of all holomorphic functions on \(G\), the space of continuous functions on \(\overline{G}\) that are holomorphic in \(G\), the space of continuous ...
Costakis, G., Vlachou, V.
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Generic approach to multiply universal functions
Complex Variables and Elliptic Equations, 2008Let {z n } be a sequence of complex numbers. We use a generic approach to show the existence of universal entire functions ϕ having several universal properties, i.e. for any pre-assigned compact set K ⊂ ℂ with connected complement and any pre-assigned function f ∈ C(K), holomorphic in the interior of K, there exist: • a suitable sequence of ...
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General relativity and universal wave function
2019General relativity and universal wave ...
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