sinkhorn_divergence — COLORTRANSPORT transport op

• Data kinds: signal × signal × matrix → scalar

• Call: import fullseye as fs; fs.ledger.sinkhorn_divergence(a, b, cost, cost_aa=None, cost_bb=None, reg=0.05, **kw) (to call the implementation directly, import colortransport; colortransport.sinkhorn_divergence(a, b, cost, cost_aa=None, cost_bb=None, reg=0.05, **kw); from the registry, opscolortransport.get("sinkhorn_divergence"))

Usage

The debiased Sinkhorn distance (Genevay, Peyré & Cuturi, AISTATS 2018).

S(a,b) - (S(a,a) + S(b,b)) / 2. Because of the regularisation sinkhorn_distance is systematically biased upward, and its "distance" to itself is not 0 (measured: above 0.05 at reg=0.2 ). Subtracting the same bias via the distance to itself cancels it, and the value against itself returns to 0 -- exactly what TRIZ calls counterweight (cancelling with a counteraction).

cost_aa / cost_bb are the cost matrices between a and a and between b and b. Since this means comparing 1 point set with itself, if omitted, cost is reused only when it is square (omitting it with a non-square one is an exception -- filling in some arbitrary matrix would make the subtracted quantity something else, and a different bias would be added while you think you cancelled it).

Background guides (the physics and conventions behind this op)

• colorimetry — Colorimetry and spectra — colour is fixed only by spectrum × illuminant × observer

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• color_transport — py -3.11 examples/color_transport.py

Ops the type connects to (they accept scalar as input)

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Same category (transport)

wasserstein_1d · transport_plan_1d · sinkhorn · sinkhorn_distance

*Provenance: colortransport.py — COLORTRANSPORT operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.