Approximate complexity and functional representation
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TL;DR: In this article, the exact and approximate representation of a function F as a superposition, in designated formats, of functions of fewer variables is investigated. But the results are restricted to the case where F lies in an n-cell I and phi is a real valued continuous function on I, and f is a function on R taking values in a chosen normed space epsilon.
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About: This article is published in Journal of Mathematical Analysis and Applications. The article was published on 01 Jul 1979. and is currently open access. The article focuses on the topics: Function (mathematics) & Uniform limit theorem.
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Citations
Distributed Learning in Wireless Networks: Recent Progress and Future Challenges
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Over-the-Air Computation Systems: Optimization, Analysis and Scaling Laws
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Harnessing Interference for Analog Function Computation in Wireless Sensor Networks
TL;DR: This paper provides a thorough base for a theory of analog-computing functions over wireless channels by specifying what is the maximum achievable and for networks of arbitrary topology which functions are generally analog- computable over the channel and how many wireless resources are needed.
Over-the-Air Computing for Wireless Data Aggregation in Massive IoT
TL;DR: In this article, an over-the-air computation (AirComp) is proposed to integrate communication and computation in WDA by exploiting the waveform superposition property of multiple access channels.
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Over-the-Air Computing for Wireless Data Aggregation in Massive IoT
TL;DR: Over-the-air computation (AirComp) is being developed as a new WDA solution by seamlessly integrating computation and communication by exploiting the waveform superposition property of a multiple-access channel, thereby allowing low-latency WDA over massive devices.
137
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A representation theorem for continuous functions of several variables
David A. Sprecher
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A survey of solved and unsolved problems on superpositions of functions
TL;DR: In this paper, the authors outline some ideas which originated with Hilbert, but were carried far beyond their original purpose by Kolmogorov and his school, and some of the main results in the area of superpositions are outlined in Sections 2 and 3; Section 4 describes unsolved problems.
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