| Hyperbolic location--scale families | example | example 5.9 | arxiv |
| Parametric $L^\alpha$ rate | statement | corollary 5.2 | arxiv |
| Dirichlet-process power Fr\'echet means | statement | corollary 5.10 | arxiv |
| Product bound | statement | lemma A.11 | arxiv |
| Distributions on the line as responses | example | example 5.8 | arxiv |
| One-sided location-aware contraction | statement | lemma B.6 | arxiv |
| Power variance inequality | statement | lemma B.1 | arxiv |
| Local constant Fr\'echet regression under an upper curvature bound | statement | corollary 4.7 | arxiv |
| Sharpness of the radius constant | statement | lemma A.8 | arxiv |
| Radius sharpness for contraction | statement | lemma A.15 | arxiv |
| Local constant power Fr\'echet regression | statement | corollary 5.4 | arxiv |
| Spherical sensitivity | statement | lemma A.14 | arxiv |
| A moment-only sufficient condition | statement | lemma B.7 | arxiv |
| Quadratic variances under positive curvature | statement | lemma A.10 | arxiv |
| Variance inequality under positive curvature upper bound | statement | theorem A.2 | arxiv |
| Fluctuations of the empirical modulus | statement | lemma C.6 | arxiv |
| Weighted-sample bound for the sample $\alpha$-Fr\'echet mean | statement | theorem 5.1 | arxiv |
| Powers of sums | statement | lemma D.1 | arxiv |
| Additive noise in Hilbert spaces | statement | corollary 5.7 | arxiv |
| Comparison of the $s$-variances | statement | lemma 2.3 | arxiv |
| Contraction of Fr\'echet means | statement | theorem A.12 | arxiv |
| Rosenthal's inequality | statement | lemma D.5 | arxiv |
| Curved first-order condition | statement | lemma A.3 | arxiv |
| Stability under mixing | statement | lemma B.8 | arxiv |
| Quadruple inequality | statement | proposition 2.1 | arxiv |
| Noiseless responses | example | example 5.6 | arxiv |
| Finiteness and mutual non-domination of the three moments | statement | lemma C.7 | arxiv |
| Conversion of the loss | statement | proposition D.4 | arxiv |
| The location-aware transport cost | statement | lemma B.2 | arxiv |
| Phase noise along a geodesic | example | example 3.6 | arxiv |
| Variance inequality on a Hilbert sphere | statement | proposition A.1 | arxiv |
| Unique-root characterization of the radius constant | statement | lemma A.6 | arxiv |
| Weighted-sample bound in Hadamard spaces | statement | theorem 3.1 | arxiv |
| Interpolation | statement | lemma C.4 | arxiv |
| Sharpness of the diameter constant | statement | lemma A.9 | arxiv |
| Contraction property and its inversion | statement | lemma B.3 | arxiv |
| Differences of powers | statement | lemma D.2 | arxiv |
| Leave-one-out quantities | definition | definition C.1 | arxiv |
| Obstructions to diameter-only bounds and at the threshold | statement | proposition A.17 | arxiv |
| Conversion from cosine comparison | statement | lemma A.5 | arxiv |
| Excess risk and modified distance losses | statement | proposition C.3 | arxiv |
| Weighted-sample bound under positive curvature | statement | theorem 4.3 | arxiv |
| Local constant Fr\'echet regression | statement | corollary 3.4 | arxiv |
| A scalar radius bound | statement | lemma A.7 | arxiv |
| Scalar contraction constants | statement | lemma A.13 | arxiv |
| Diameter sharpness for contraction | statement | lemma A.16 | arxiv |
| Absorption | statement | lemma C.5 | arxiv |
| Leave-one-out inequality | statement | lemma C.2 | arxiv |
| Quadratic variances in Hadamard spaces | statement | lemma B.10 | arxiv |
| Reverse triangle inequality for concave powers | statement | lemma D.3 | arxiv |
| YME313PT4W | example | example 3.2 | arxiv |
| Bounded-support concentration | statement | corollary 4.6 | arxiv |
| The cosine profile | statement | lemma A.4 | arxiv |
