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init: upload RTE dataset

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+ *.tar.gz filter=lfs diff=lfs merge=lfs -text
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+ *.tar filter=lfs diff=lfs merge=lfs -text
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+ *.zip filter=lfs diff=lfs merge=lfs -text
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+ *.bin filter=lfs diff=lfs merge=lfs -text
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+ *.npy filter=lfs diff=lfs merge=lfs -text
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+ *.npz filter=lfs diff=lfs merge=lfs -text
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+ *.pt filter=lfs diff=lfs merge=lfs -text
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+
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+ *.md text
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+ *.json text
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+ *.yaml text
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+ *.yml text
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+ *.csv text
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+ *.jpg binary
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+ *.jpeg binary
README.md ADDED
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+ ---
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+ license: cc-by-4.0
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+ pretty_name: Linear Radiation Transport (Lattice + Hohlraum)
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+ tags:
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+ - physics
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+ - radiation-transport
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+ - scientific-machine-learning
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+ - surrogate-modeling
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+ - point-cloud
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+ - cfd
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+ - physicsnemo
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+ - kit-rt
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+ size_categories:
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+ - 1K<n<10K
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+ ---
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+
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+ ## Dataset Description:
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+ A point-cloud surrogate-modeling dataset for the final-time 2-D linear
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+ **Radiation Transport Equation (RTE)**, covering two canonical benchmarks
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+ that vary along complementary axes:
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+
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+ - **Lattice** (707 samples, 494 train / 106 val / 107 test) — fixed
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+ `7 × 7` block geometry; per-sample variation in the white-background
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+ scattering coefficient \\(\sigma_s^W\\) and the blue-absorber cross-
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+ section \\(\sigma_a^B\\) drawn from a discrete design grid (see
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+ § Data generation). QoI: final-time absorption integral
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+ \\(\int_B \sigma_a\, \phi\, dx\\) over the absorbing blocks.
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+
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+ ![Lattice layout](docs/images/lattice_layout.png)
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+
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+ - **Hohlraum** (846 samples, 592 train / 126 val / 128 test) — fixed
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+ per-region cross-sections; per-sample variation in 8 geometry
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+ parameters (`ulr, llr, urr, lrr, hlr, hrr, cx, cy`) controlling the
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+ inner edges and y-extents of two wall-anchored red strips and the
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+ (x, y) offset of a center insert (see § Data generation). QoI:
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+ final-time absorption integral \\(\int_S \sigma_a\, \phi\, dx\\)
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+ evaluated over three material regions
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+ \\(S \in \{\text{center insert},\ \text{vertical strip},\ \text{horizontal strip}\}\\).
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+
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+ ![Hohlraum layout](docs/images/hohlraum_layout.png)
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+
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+ ## Data generation
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+
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+ Simulations were produced with [KiT-RT](https://github.com/KiT-RT) using
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+ a discrete-ordinate (S_N) angular discretization, a finite-volume scheme
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+ on an unstructured mesh, and an explicit SSP Runge-Kutta time integrator,
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+ then curated into the PhysicsNeMo `Mesh` memmap format. Both benchmarks
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+ sweep their per-sample parameters over a **discrete design grid** rather
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+ than continuous uniform random sampling.
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+
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+ **Lattice.** The design set is the full Cartesian product of
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+ \\(\sigma_a^B \in \{5, 7.5, \ldots, 102.5\}\\) and
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+ \\(\sigma_s^W \in \{0.1, 0.6, \ldots, 9.6\}\\), with spacings 2.5 and 0.5
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+ respectively, giving **800** unique parameter configurations. Of these,
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+ **707** yielded complete and valid simulations.
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+
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+ **Hohlraum.** The full design set contains \\(3^8 = 6561\\) configurations
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+ formed from three prescribed values for each of the eight geometry
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+ parameters:
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+
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+ | Parameter family | Values |
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+ |---|---|
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+ | Top red-strip edges (`ulr`, `urr`) | \\(\{0.3,\ 0.4,\ 0.5\}\\) |
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+ | Bottom red-strip edges (`llr`, `lrr`) | \\(\{-0.5,\ -0.4,\ -0.3\}\\) |
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+ | Right interior red-strip edge (`hrr`) | \\(\{0.5,\ 0.6,\ 0.63\}\\) |
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+ | Left interior red-strip edge (`hlr`) | \\(\{-0.63,\ -0.6,\ -0.5\}\\) |
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+ | Capsule center (`cx`, `cy`) | \\(\{-0.1,\ 0,\ 0.1\} \times \{-0.075,\ 0,\ 0.075\}\\) |
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+
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+ From this grid, **1000** configurations were sampled uniformly at random
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+ without replacement, yielding **846** complete and valid simulations.
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+ Incomplete runs were mainly due to scheduling, timeouts, or other
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+ infrastructure failures rather than known simulation-code failures.
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+
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+ ## How to download
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+
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+ The dataset is **not** a `datasets`-loadable Parquet dataset; it ships
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+ PhysicsNeMo `tensordict` memmap stores packed as **one tarball per
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+ benchmark** (`mesh/lattice.tar.gz`, `mesh/hohlraum.tar.gz`). Download
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+ the full repo and extract both tarballs in place:
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+
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+ ```python
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+ import tarfile
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+ from pathlib import Path
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+ from huggingface_hub import snapshot_download
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+
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+ local_dir = Path(snapshot_download(
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+ repo_id="nvidia/Linear-Radiation-Transport",
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+ repo_type="dataset",
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+ local_dir="./rte", # or omit to use the HF cache
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+ ))
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+
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+ for arc in (local_dir / "mesh").glob("*.tar.gz"):
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+ with tarfile.open(arc) as tf:
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+ tf.extractall(arc.parent, filter="data")
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+ ```
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+
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+ After extraction you'll have `mesh/lattice/<name>.pmsh/` and
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+ `mesh/hohlraum/<name>.pmsh/` directories, each loadable with PhysicsNeMo's
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+ `Mesh` API alongside the matching `<name>.attrs.json` sidecar.
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+
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+ ## Dataset Owner(s):
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+ NVIDIA Corporation
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+
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+ ## Dataset Creation Date:
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+ May 2026
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+
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+ ## License/Terms of Use:
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+ [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/)
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+
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+ ## Intended Usage:
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+ Training, evaluation, and benchmarking of point-cloud / mesh-based neural
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+ surrogates for final-time linear radiation transport. The two
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+ benchmarks are complementary stress tests: Lattice probes the surrogate's
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+ ability to generalise across **material parameters** at fixed geometry,
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+ while Hohlraum probes generalisation across **geometry** at fixed
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+ material parameters. Suitable for graph neural networks, neural operators,
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+ point-cloud regressors, and mixed-fidelity / uncertainty-quantification
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+ studies that build on KiT-RT reference solutions.
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+
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+ ## Dataset Characterization
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+ ** Data Collection Method<br>
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+ * [Synthetic] - High-resolution KiT-RT (S_N + finite-volume) simulations
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+ on unstructured triangular meshes, post-processed into PhysicsNeMo
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+ `Mesh` memmap stores. <br>
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+
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+
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+ ** Labeling Method<br>
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+ * [Synthetic] - Per-cell scalar flux and derived per-region absorption
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+ QoIs are computed directly by the numerical solver; no human labeling
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+ is involved. <br>
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+
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+ ## Dataset Format
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+ - **Modality**: 2-D point cloud / unstructured-mesh, per-cell tensors
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+ plus per-simulation scalar metadata.
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+ - **Per-sample container**: PhysicsNeMo `Mesh` (a tensordict memmap
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+ store) shipped on disk as a `<name>.pmsh/` directory plus a
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+ `<name>.attrs.json` sidecar.
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+ - **On-Hub packing**: one `tar.gz` per benchmark
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+ (`mesh/lattice.tar.gz`, `mesh/hohlraum.tar.gz`). Each archive
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+ contains a top-level `<bench>/` directory holding all of that
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+ benchmark's `<name>.pmsh/` + `<name>.attrs.json` files. This keeps
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+ the file count low for fast, rate-limit-friendly downloads.
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+ - **Per-cell fields**: `cell_areas` (float32), `sigma_a`, `sigma_s`,
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+ `sigma_t` (float32), `Q` (float32), `material_properties` (int64),
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+ `scalar_flux` (float32, shape `(N, 2)` for initial + final snapshots).
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+ - **Cell-center coordinates**: `Mesh.points` (float32, `(N, 2)` — the
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+ simulations are 2-D so points are stored without a z column).
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+ - **Per-simulation fields** (`Mesh.global_data`): `sim_times` / `timesteps`
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+ / `wall_times`, `flux_statistics`, `global_metrics`, plus flattened
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+ `attr__*` parameter draws.
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+ - **Splits**: full train/val/test splits at
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+ `splits/{lattice,hohlraum}_splits.json`.
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+ - **Stats**: per-field flux and material-property normalization stats at
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+ `stats/{lattice,hohlraum}_{flux,material}_stats.yaml`.
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+ - **Auxiliary**: PNG schematics under `docs/images/`.
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+
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+ ## Dataset Quantification
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+ - **Record count**: 1,553 simulations covered by the train/val/test splits
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+ (707 Lattice + 846 Hohlraum).
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+ - **Cells per sample**: lattice ≈79.9k (constant); hohlraum ≈70k–81k.
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+ - **Per-cell features per sample**: 7 fields (cell_areas, sigma_a,
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+ sigma_s, sigma_t, Q, material_properties, scalar_flux) plus 2-D
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+ cell-center coordinates and per-simulation metadata.
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+ - **Total storage**: ~7.2 GB for the extracted `.pmsh/` directories;
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+ ~1.6 GB as the per-benchmark `mesh/{lattice,hohlraum}.tar.gz`
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+ archives shipped to the Hugging Face Hub (gzip-compressed).
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+
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+ ## Reference(s):
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+ - Schotthöfer, S., & Hauck, C. (2025). "Reference solutions for linear
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+ radiation transport: the Hohlraum and Lattice benchmarks."
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+ *arXiv preprint* [arXiv:2505.17284](https://arxiv.org/abs/2505.17284).
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+ - Kusch, J., Schotthöfer, S., Stammer, P., Wolters, J., & Xiao, T.
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+ (2023). "KiT-RT: An extendable framework for radiative transfer and
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+ therapy." *ACM Transactions on Mathematical Software*, **49**(4), 1–24.
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+ - KiT-RT solver: <https://github.com/KiT-RT>.
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+
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+ ## Ethical Considerations:
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+ NVIDIA believes Trustworthy AI is a shared responsibility and we have established policies and practices to enable development for a wide array of AI applications. When downloaded or used in accordance with our terms of service, developers should work with their internal developer teams to ensure this dataset meets requirements for the relevant industry and use case and addresses unforeseen product misuse.
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+ Please report quality, risk, security vulnerabilities or NVIDIA AI Concerns here.
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505
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506
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507
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508
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512
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513
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514
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515
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516
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517
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518
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520
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522
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523
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524
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525
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526
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527
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528
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529
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530
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531
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532
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533
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534
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535
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536
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537
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538
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539
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540
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541
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542
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543
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544
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545
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546
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547
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548
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549
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550
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551
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552
+ "lattice_abs7.5_scatter8.1_p0.015_q6",
553
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554
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555
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556
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557
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558
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559
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560
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561
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562
+ "lattice_abs5.0_scatter2.6_p0.015_q6",
563
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564
+ "lattice_abs80.0_scatter6.6_p0.015_q6",
565
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566
+ "lattice_abs70.0_scatter5.1_p0.015_q6",
567
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568
+ "lattice_abs10.0_scatter0.1_p0.015_q6",
569
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570
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571
+ "lattice_abs27.5_scatter0.1_p0.015_q6",
572
+ "lattice_abs55.0_scatter9.6_p0.015_q6",
573
+ "lattice_abs82.5_scatter5.6_p0.015_q6",
574
+ "lattice_abs95.0_scatter8.6_p0.015_q6",
575
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576
+ "lattice_abs47.5_scatter7.1_p0.015_q6",
577
+ "lattice_abs17.5_scatter8.1_p0.015_q6",
578
+ "lattice_abs72.5_scatter6.1_p0.015_q6",
579
+ "lattice_abs30.0_scatter0.6_p0.015_q6",
580
+ "lattice_abs72.5_scatter1.1_p0.015_q6",
581
+ "lattice_abs85.0_scatter3.1_p0.015_q6",
582
+ "lattice_abs10.0_scatter1.6_p0.015_q6",
583
+ "lattice_abs90.0_scatter4.1_p0.015_q6",
584
+ "lattice_abs25.0_scatter8.1_p0.015_q6",
585
+ "lattice_abs65.0_scatter6.6_p0.015_q6",
586
+ "lattice_abs92.5_scatter1.6_p0.015_q6",
587
+ "lattice_abs97.5_scatter9.1_p0.015_q6",
588
+ "lattice_abs95.0_scatter3.1_p0.015_q6",
589
+ "lattice_abs90.0_scatter0.6_p0.015_q6",
590
+ "lattice_abs92.5_scatter4.1_p0.015_q6",
591
+ "lattice_abs20.0_scatter2.6_p0.015_q6",
592
+ "lattice_abs10.0_scatter6.1_p0.015_q6",
593
+ "lattice_abs80.0_scatter3.6_p0.015_q6",
594
+ "lattice_abs40.0_scatter7.1_p0.015_q6",
595
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596
+ "lattice_abs7.5_scatter4.6_p0.015_q6",
597
+ "lattice_abs57.5_scatter5.1_p0.015_q6",
598
+ "lattice_abs57.5_scatter7.1_p0.015_q6",
599
+ "lattice_abs12.5_scatter4.6_p0.015_q6",
600
+ "lattice_abs95.0_scatter3.6_p0.015_q6",
601
+ "lattice_abs95.0_scatter4.1_p0.015_q6",
602
+ "lattice_abs25.0_scatter5.6_p0.015_q6",
603
+ "lattice_abs20.0_scatter0.1_p0.015_q6",
604
+ "lattice_abs102.5_scatter5.6_p0.015_q6",
605
+ "lattice_abs17.5_scatter0.6_p0.015_q6",
606
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607
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608
+ "lattice_abs22.5_scatter5.1_p0.015_q6",
609
+ "lattice_abs87.5_scatter4.6_p0.015_q6",
610
+ "lattice_abs92.5_scatter0.1_p0.015_q6",
611
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612
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613
+ "lattice_abs85.0_scatter2.6_p0.015_q6",
614
+ "lattice_abs42.5_scatter7.6_p0.015_q6"
615
+ ],
616
+ "test": [
617
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618
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619
+ "lattice_abs40.0_scatter1.1_p0.015_q6",
620
+ "lattice_abs97.5_scatter6.6_p0.015_q6",
621
+ "lattice_abs42.5_scatter8.6_p0.015_q6",
622
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623
+ "lattice_abs67.5_scatter9.6_p0.015_q6",
624
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625
+ "lattice_abs72.5_scatter0.6_p0.015_q6",
626
+ "lattice_abs35.0_scatter3.1_p0.015_q6",
627
+ "lattice_abs5.0_scatter6.6_p0.015_q6",
628
+ "lattice_abs82.5_scatter2.1_p0.015_q6",
629
+ "lattice_abs35.0_scatter2.6_p0.015_q6",
630
+ "lattice_abs12.5_scatter5.6_p0.015_q6",
631
+ "lattice_abs45.0_scatter1.1_p0.015_q6",
632
+ "lattice_abs60.0_scatter5.1_p0.015_q6",
633
+ "lattice_abs5.0_scatter7.1_p0.015_q6",
634
+ "lattice_abs97.5_scatter3.1_p0.015_q6",
635
+ "lattice_abs37.5_scatter1.6_p0.015_q6",
636
+ "lattice_abs12.5_scatter0.1_p0.015_q6",
637
+ "lattice_abs50.0_scatter1.6_p0.015_q6",
638
+ "lattice_abs35.0_scatter6.6_p0.015_q6",
639
+ "lattice_abs80.0_scatter5.6_p0.015_q6",
640
+ "lattice_abs45.0_scatter2.1_p0.015_q6",
641
+ "lattice_abs57.5_scatter4.1_p0.015_q6",
642
+ "lattice_abs7.5_scatter1.6_p0.015_q6",
643
+ "lattice_abs27.5_scatter1.1_p0.015_q6",
644
+ "lattice_abs97.5_scatter7.6_p0.015_q6",
645
+ "lattice_abs77.5_scatter1.6_p0.015_q6",
646
+ "lattice_abs27.5_scatter6.1_p0.015_q6",
647
+ "lattice_abs87.5_scatter6.1_p0.015_q6",
648
+ "lattice_abs12.5_scatter8.6_p0.015_q6",
649
+ "lattice_abs45.0_scatter0.6_p0.015_q6",
650
+ "lattice_abs35.0_scatter0.6_p0.015_q6",
651
+ "lattice_abs52.5_scatter8.6_p0.015_q6",
652
+ "lattice_abs55.0_scatter8.1_p0.015_q6",
653
+ "lattice_abs27.5_scatter0.6_p0.015_q6",
654
+ "lattice_abs55.0_scatter5.1_p0.015_q6",
655
+ "lattice_abs67.5_scatter6.1_p0.015_q6",
656
+ "lattice_abs95.0_scatter2.6_p0.015_q6",
657
+ "lattice_abs92.5_scatter8.1_p0.015_q6",
658
+ "lattice_abs17.5_scatter5.6_p0.015_q6",
659
+ "lattice_abs97.5_scatter1.1_p0.015_q6",
660
+ "lattice_abs15.0_scatter2.6_p0.015_q6",
661
+ "lattice_abs47.5_scatter2.6_p0.015_q6",
662
+ "lattice_abs37.5_scatter1.1_p0.015_q6",
663
+ "lattice_abs102.5_scatter4.6_p0.015_q6",
664
+ "lattice_abs12.5_scatter7.6_p0.015_q6",
665
+ "lattice_abs32.5_scatter0.6_p0.015_q6",
666
+ "lattice_abs82.5_scatter8.6_p0.015_q6",
667
+ "lattice_abs55.0_scatter3.6_p0.015_q6",
668
+ "lattice_abs90.0_scatter1.1_p0.015_q6",
669
+ "lattice_abs90.0_scatter6.6_p0.015_q6",
670
+ "lattice_abs47.5_scatter4.6_p0.015_q6",
671
+ "lattice_abs80.0_scatter3.1_p0.015_q6",
672
+ "lattice_abs15.0_scatter2.1_p0.015_q6",
673
+ "lattice_abs57.5_scatter3.6_p0.015_q6",
674
+ "lattice_abs20.0_scatter8.1_p0.015_q6",
675
+ "lattice_abs77.5_scatter3.1_p0.015_q6",
676
+ "lattice_abs7.5_scatter0.1_p0.015_q6",
677
+ "lattice_abs102.5_scatter3.6_p0.015_q6",
678
+ "lattice_abs42.5_scatter8.1_p0.015_q6",
679
+ "lattice_abs87.5_scatter3.1_p0.015_q6",
680
+ "lattice_abs52.5_scatter1.6_p0.015_q6",
681
+ "lattice_abs55.0_scatter0.6_p0.015_q6",
682
+ "lattice_abs17.5_scatter3.6_p0.015_q6",
683
+ "lattice_abs57.5_scatter4.6_p0.015_q6",
684
+ "lattice_abs17.5_scatter1.1_p0.015_q6",
685
+ "lattice_abs97.5_scatter6.1_p0.015_q6",
686
+ "lattice_abs50.0_scatter7.6_p0.015_q6",
687
+ "lattice_abs35.0_scatter4.6_p0.015_q6",
688
+ "lattice_abs25.0_scatter7.1_p0.015_q6",
689
+ "lattice_abs95.0_scatter5.1_p0.015_q6",
690
+ "lattice_abs50.0_scatter9.6_p0.015_q6",
691
+ "lattice_abs97.5_scatter3.6_p0.015_q6",
692
+ "lattice_abs25.0_scatter9.1_p0.015_q6",
693
+ "lattice_abs10.0_scatter3.1_p0.015_q6",
694
+ "lattice_abs45.0_scatter6.1_p0.015_q6",
695
+ "lattice_abs85.0_scatter5.1_p0.015_q6",
696
+ "lattice_abs67.5_scatter3.6_p0.015_q6",
697
+ "lattice_abs35.0_scatter7.1_p0.015_q6",
698
+ "lattice_abs62.5_scatter5.1_p0.015_q6",
699
+ "lattice_abs97.5_scatter5.1_p0.015_q6",
700
+ "lattice_abs92.5_scatter7.6_p0.015_q6",
701
+ "lattice_abs32.5_scatter5.1_p0.015_q6",
702
+ "lattice_abs80.0_scatter7.6_p0.015_q6",
703
+ "lattice_abs100.0_scatter4.1_p0.015_q6",
704
+ "lattice_abs87.5_scatter2.1_p0.015_q6",
705
+ "lattice_abs72.5_scatter3.6_p0.015_q6",
706
+ "lattice_abs37.5_scatter3.6_p0.015_q6",
707
+ "lattice_abs35.0_scatter6.1_p0.015_q6",
708
+ "lattice_abs17.5_scatter1.6_p0.015_q6",
709
+ "lattice_abs100.0_scatter5.6_p0.015_q6",
710
+ "lattice_abs100.0_scatter7.6_p0.015_q6",
711
+ "lattice_abs62.5_scatter7.6_p0.015_q6",
712
+ "lattice_abs85.0_scatter5.6_p0.015_q6",
713
+ "lattice_abs15.0_scatter6.6_p0.015_q6",
714
+ "lattice_abs77.5_scatter9.6_p0.015_q6",
715
+ "lattice_abs97.5_scatter2.6_p0.015_q6",
716
+ "lattice_abs17.5_scatter6.1_p0.015_q6",
717
+ "lattice_abs22.5_scatter6.1_p0.015_q6",
718
+ "lattice_abs35.0_scatter8.6_p0.015_q6",
719
+ "lattice_abs40.0_scatter0.1_p0.015_q6",
720
+ "lattice_abs45.0_scatter4.6_p0.015_q6",
721
+ "lattice_abs100.0_scatter3.1_p0.015_q6",
722
+ "lattice_abs20.0_scatter1.1_p0.015_q6",
723
+ "lattice_abs92.5_scatter2.1_p0.015_q6"
724
+ ]
725
+ }
726
+ }
stats/hohlraum_flux_stats.yaml ADDED
@@ -0,0 +1,9 @@
 
 
 
 
 
 
 
 
 
 
1
+ log_flux_mean: -4.108568627094031
2
+ log_flux_std: 3.7420682366192923
3
+ log_flux_min: -7.698970317840576
4
+ log_flux_max: 0.6887791752815247
5
+ clip_threshold: 1.0e-08
6
+ num_samples: 88522552
7
+ num_simulations: 592
8
+ case_type: hohlraum
9
+ note: computed from first and final snapshots only (final time)
stats/hohlraum_material_stats.yaml ADDED
@@ -0,0 +1,20 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ sigma_a:
2
+ mean: 15.065744489607578
3
+ std: 32.505328909219266
4
+ min: 0.0
5
+ max: 100.0
6
+ sigma_s:
7
+ mean: 20.518924572859707
8
+ std: 37.43558833558579
9
+ min: 0.0
10
+ max: 95.0
11
+ sigma_t:
12
+ mean: 35.584669062467334
13
+ std: 47.80958795860603
14
+ min: 0.10000000149011612
15
+ max: 100.0
16
+ Q:
17
+ mean: 0.0
18
+ std: 0.0
19
+ min: 0.0
20
+ max: 0.0
stats/lattice_flux_stats.yaml ADDED
@@ -0,0 +1,9 @@
 
 
 
 
 
 
 
 
 
 
1
+ log_flux_mean: -4.884608531320779
2
+ log_flux_std: 3.4423423449167303
3
+ log_flux_min: -7.698970317840576
4
+ log_flux_max: 1.0231460332870483
5
+ clip_threshold: 1.0e-08
6
+ num_samples: 78903656
7
+ num_simulations: 494
8
+ case_type: lattice
9
+ note: computed from first and final snapshots only (final time)
stats/lattice_material_stats.yaml ADDED
@@ -0,0 +1,20 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ sigma_a:
2
+ mean: 16.037917685335152
3
+ std: 29.23358677107784
4
+ min: 0.0
5
+ max: 102.5
6
+ sigma_s:
7
+ mean: 3.5498571168119075
8
+ std: 3.3429624556892854
9
+ min: 0.0
10
+ max: 9.600000381469727
11
+ sigma_t:
12
+ mean: 19.050313710346476
13
+ std: 27.718682324901213
14
+ min: 0.10000000149011612
15
+ max: 102.5
16
+ Q:
17
+ mean: 0.13242843905737398
18
+ std: 0.3389559670311802
19
+ min: 0.0
20
+ max: 1.0