Mercurial > repos > pointsource_algs / file comparison
comparison: src/transport.rs
src/transport.rs
- branch
- dev
- changeset 44
- 03251c546744
- parent 43
- aacd9af21b3a
- child 45
- 5200e7090e06
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| 43:aacd9af21b3a | 44:03251c546744 |
|---|---|
| 1 /// Definitions related to optimal transport | |
| 2 | |
| 3 use crate::types::*; | |
| 4 | |
| 5 pub trait TransportLipschitz<Cost> { | |
| 6 /// Type of floats | |
| 7 type FloatType : Float; | |
| 8 | |
| 9 /// Returns the transport Lipschitz factor of Self. | |
| 10 /// | |
| 11 /// If `Self` is a linear operator $A$ on $ℳ(Ω)$, and `Cost` represents the spatial | |
| 12 /// cost function $c$, this factor $L$ is such that, for all $0 ≤ λ ∈ ℳ(Ω^2)$, | |
| 13 /// $$ | |
| 14 /// \norm{A(π_\#^1-π_\#^0)λ}^2 ≤ L \norm{λ}_{ℳ(Ω^2)} ∫ c(x, y) dλ(x, y). | |
| 15 /// $$ | |
| 16 fn transport_lipschitz_factor(&self, cost : Cost) -> Self::FloatType; | |
| 17 } |
