Principles of Electrodynamics

By E. G. Cullwick. 1967

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Coulomb GANs: Provably Optimal Nash Equilibria via Potential Fields (2017, background): “This conservation is expressed by the continuity equation [39] that describes how the difference between distributions ρ ( a ) changes as the particles are moving along the ﬁeld, i.e., how moving samples during the learning process changes our densities: ) for sample density difference ρ and unit…”
Coulomb Classifiers: Generalizing Support Vector Machines via an Analogy to Electrostatic Systems (2002, background): “The Coulomb energy is defined in terms of the potential on the conductors, ϕi: E = 1 2 N ∑ i=1 ϕi Qi = 1 2 QT P Q = 1 2 N ∑ i,j=1 Pij yi yj αi αj .”
Optimal kernels for unsupervised learning (2005, unknown): “Using the continuity equation [7] ρ̇ = −∇ · (ρ v) (8) for particle densities, with particles moving with “velocity” v = − ∇aF = sign(ρ(a)) E, we obtain ρ̇(a) = − sign(ρ(a)) ∇ · (ρ(a) E(a)) = (9) − ∇ · (|ρ(a)| E(a)) .”