Table 3.
Statistics that have been applied to the HOWLS data set, with their abbreviation in the present article, the filter and smoothing scale employed, the number of independent teams for each statistic and links to the corresponding subsections.
| Field | Statistics | Abbreviation | Filter and scales | Teams | Sections |
|---|---|---|---|---|---|
| γ | Two-point correlation functions | γ-2PCF (ξ+/ξ−) | [0 24, 8 55]/[3 51, 300′] |
1 (+1) | Sect. 3.1 |
| κ | Two-point correlation function | κ-2PCF (ξκ) | [0 6, 9 23] |
1 (+2) | Sect. 3.1 |
| κ | One-point probability distribution function | κ-PDF (𝒫) | Top-hat, 4 69 |
1 | Sect. 3.2 |
| κ | Higher-order moments | HOM (ℳ) | Top-hat, 4 69 |
2 (+2) | Sect. 3.3 |
| Map(γ) | Third order moments |  |
C+02, [1 17, 2 34, 4 69, 9 37] |
1 | Sect. 3.4 |
| Map(γ) | n-th order moments |  |
Polynomial, [1 17,  2 34, 4 69, 9 37] |
1 | Sect. 3.4 |
| Map(κ) | Peak counts | peaks (N) | Starlet, 2 34 |
1 (+2) | Sect. 3.5 |
| κ | Minkowski functionals | MFs (V0, V1, V2) | Gaussian, 2 34 |
1 (+2) | Sect. 3.6 |
| κ | Betti numbers | BNs (β0, β1) | Gaussian, 2 34 |
1 (+2) | Sect. 3.7 |
| Map(γ) | Persistent homology Betti numbers | pers. BNs (β) | S+07, 2 34 |
1 | Sect. 3.8 |
| Map(γ) | Persistent homology heatmap | pers. heat. (h) | S+07, 2 34 |
1 | Sect. 3.8 |
| κ | Scattering transform coefficients | ST (s1, s2) | Gaussian, 2 34 |
1 | Sect. 3.9 |
Notes. Numbers in parentheses refer to additional teams who participated in former HOWLS data sets. When multiple teams exist, we retained only one implementation after coordinating the independent team results. C+02 corresponds to the filter function of Crittenden et al. (2002) and S+07 to that of Schirmer et al. (2007).
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