Write the dataset card of v2
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README.md
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---
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license:
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pretty_name: samplingdb reference sets
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tags:
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- sampling
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- statistical-physics
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size_categories:
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- 100K<n<1M
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-
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- config_name: dw4
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data_files:
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- split: test
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path: viewer/dw4_6b739c6d.parquet
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- config_name: lj13
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data_files:
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- split: test
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path: viewer/lj13_6a0a72c4.parquet
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- config_name: lj55
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data_files:
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- split: test
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path: viewer/lj55_dc3f6b7e.parquet
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- config_name: seeds
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data_files:
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- split: test
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path: viewer/seeds_f9a50f20.parquet
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- config_name: brownian
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data_files:
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- split: test
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path: viewer/brownian_45794097.parquet
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- config_name: lgcp
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data_files:
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- split: test
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path: viewer/lgcp_cea6d9a6.parquet
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- config_name: lgcp-whitened
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data_files:
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- split: test
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path: viewer/lgcp-whitened_30e98363.parquet
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- config_name: breast-cancer
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data_files:
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- split: test
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path: viewer/breast-cancer_543f5f94.parquet
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- config_name: german-credit
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data_files:
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- split: test
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path: viewer/german-credit_3cfdf175.parquet
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- config_name: ionosphere
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data_files:
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- split: test
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path: viewer/ionosphere_d00109c3.parquet
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- config_name: sonar
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data_files:
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- split: test
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path: viewer/sonar_52aa10ef.parquet
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- config_name: trialanine
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data_files:
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- split: test
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path: viewer/aaa-T310_e0bfbee3.parquet
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- config_name: hexaalanine
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data_files:
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- split: test
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path: viewer/aaaaaa-T310_08d2d916.parquet
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- config_name: aldp
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data_files:
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- split: test
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path: viewer/ace-a-nme-T300_54968005.parquet
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- config_name: ala4
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data_files:
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- split: test
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path: viewer/ace-aaa-nme-T300_cda31701.parquet
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- config_name: ka-ternary-T0.32
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data_files:
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- split: test
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path: viewer/ka-ternary-N44-T0.32_d50e8a3f.parquet
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- config_name: ka-ternary-T1.0
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data_files:
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- split: test
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path: viewer/ka-ternary-N44-T1.0_c0f9b3b8.parquet
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---
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# samplingdb reference sets
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Reference samples for the targets of [samplingdb](https://github.com/h2o64/samplingdb), a PyTorch
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library of unnormalised densities for benchmarking samplers. A sampler's output is scored against
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these sets. Each one comes from a long
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You do not need to download anything by hand. samplingdb fetches a set the first time it is used,
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checks its sha256, and keeps it in its cache.
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and pick the target in the subset menu.
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## Quick start
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```python
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import samplingdb
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samplingdb.download_references(['lj55', '
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samplingdb.download_references() # every published set, 3.1 GB
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```
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this repo, so a copy of the repo is a ready cache:
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```sh
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hf download h2o64/samplingdb --repo-type dataset --revision
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```
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Without samplingdb, every file is a plain NumPy array:
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import numpy as np
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from huggingface_hub import hf_hub_download
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path = hf_hub_download('h2o64/samplingdb', 'pt/
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x = np.load(path) # (n_samples, dim)
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```
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## Browsing, and loading with `datasets`
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Each set also has a Parquet copy in `viewer/`, which is what the dataset viewer shows: one subset
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per target, named as in `samplingdb.build`, with one row per sample. The column `x` is the sample
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and `log_prob` is the samplingdb target's unnormalised log density at it, whose histogram the viewer
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draws above the column. For the particle systems, the peptides and the glass, `log_prob` is minus
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the energy in units of kT, so its histogram is the energy distribution, mirrored.
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The same files load with the `datasets` library, under the split `test`:
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```python
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from datasets import load_dataset
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lj55 = load_dataset('h2o64/samplingdb', 'lj55', split='test')
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rows = lj55.with_format('numpy')[:]
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x, log_prob = rows['x'], rows['log_prob'] # (100352, 165) and (100352,)
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```
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The `.npy` files are what samplingdb reads and what the tag pins; the Parquet copies hold the same
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rows.
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## Files
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Each row of an array is one sample, flattened, in the coordinates the samplingdb target's
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| Folder | Targets | Coordinates |
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| --- | --- | --- |
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| `pt/` | DW-4, LJ-13, LJ-55 | particle positions; samplingdb removes the centre of mass when it reads them |
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| `swapmc/` | ternary Kob-Andersen glass | particle positions in the periodic box, species in canonical order |
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| `md/` | peptides | atom positions in nanometres, in the atom order of the released PDB |
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| `stan/` | Bayesian posteriors | the unconstrained parameters, in samplingdb's order |
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A file is named `<folder>/<target name>_<spec_id>.npy`. The `spec_id` is a hash of the constants
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that define the density, so a set can never be read against a different density than the one it
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| File | `build` name | Samples | dim | dtype | Size | Independence |
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| --- | --- | --- | --- | --- | --- | --- |
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| `pt/
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| `pt/
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| `pt/
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| `stan/seeds_f9a50f20.npy` | `seeds` | 100000 | 26 | float64 | 20.8 MB | bulk ESS 96% of the draws |
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| `
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| `stan/lgcp_cea6d9a6.npy` | `lgcp` | 100000 | 1600 | float64 | 1280.0 MB | bulk ESS 90% of the draws |
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| `stan/lgcp-whitened_30e98363.npy` | `lgcp-whitened` | 100000 | 1600 | float64 | 1280.0 MB | bulk ESS 98% of the draws |
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| `stan/breast-cancer_543f5f94.npy` | `breast-cancer` | 100000 | 31 | float64 | 24.8 MB | bulk ESS 102% of the draws |
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| `stan/german-credit_3cfdf175.npy` | `german-credit` | 100000 | 25 | float64 | 20.0 MB | bulk ESS 110% of the draws |
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| `stan/ionosphere_d00109c3.npy` | `ionosphere` | 100000 | 35 | float64 | 28.0 MB | bulk ESS 96% of the draws |
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| `stan/sonar_52aa10ef.npy` | `sonar` | 100000 | 61 | float64 | 48.8 MB | bulk ESS 108% of the draws |
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| `md/aaa-T310_e0bfbee3.npy` | `
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| `md/aaaaaa-T310_08d2d916.npy` | `
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| `md/ace-a-nme-T300_54968005.npy` | `
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| `md/ace-aaa-nme-T300_cda31701.npy` | `
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| `swapmc/ka-ternary-N44-T0.32_d50e8a3f.npy` | `ka-ternary-T0.32` |
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| `swapmc/ka-ternary-N44-T1.0_c0f9b3b8.npy` | `ka-ternary-T1.0` |
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Independence is the effective sample size as a fraction of the rows: measured on the stored chains
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for the tempered runs, and Stan's smallest bulk ESS for the posteriors, which exceeds
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successive NUTS draws are anticorrelated.
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The rows are interleaved across chains, so the first `n` rows of a file span every chain of the run
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that produced it, and `test_samples(n=...)` can read a prefix.
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| Folder | Sampler | Checked before writing |
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| --- | --- | --- |
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| `pt/` | non-reversible parallel tempering with HMC moves | every chain makes 10 round trips and every pair of adjacent levels accepts at least 5% of its swaps; the
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| `md/` | replica-exchange molecular dynamics with solute tempering, BAOAB at 1 fs | every replica makes a round trip and every pair of adjacent levels accepts at least 5% of its swaps; the merged set is at least 90% independent on the pair distances and backbone torsions
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| `swapmc/` | swap Monte Carlo
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| `stan/` | Stan's NUTS, on models written in samplingdb's own coordinates | Stan's log density equals samplingdb's to 1e-9; R-hat below 1.01, bulk ESS above 90% of the draws, no divergences |
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## Not published yet
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Two catalogued targets have no set in this release. A later release will add them under a new tag.
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- `ka-binary-T0.2`, the binary Kob-Andersen glass of Cheng et al. 2026. Its parallel-tempering
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replicas that crystallise stay trapped at intermediate temperatures, and the set generated so far
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is not stationary.
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- `chignolin`. Its folding equilibrium is expensive to sample, and the planned 10 000-structure
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set has not been run yet.
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## Versions
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samplingdb pins one tag of this repo and the sha256 of every file it reads
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| Tag | Contents |
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| --- | --- |
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| `v1` |
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## License and attribution
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The samples are released under
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please also credit the sources of the densities you use:
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- DW-4, LJ-13 and LJ-55: the potentials of Köhler et al. 2020, as implemented in bgflow.
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- The logistic regressions: the Ionosphere, Sonar, Statlog (German Credit) and Breast Cancer
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Amber ff99SB-ILDN and ff14SB force fields and OBC implicit solvent, evaluated with OpenMM.
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- The ternary glass: the swap-friendly Kob-Andersen mixture of Jung et al. 2023, after Kob and
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Andersen 1995.
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---
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license: mit
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pretty_name: samplingdb reference sets
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tags:
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- sampling
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- statistical-physics
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size_categories:
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- 100K<n<1M
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viewer: false
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---
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# samplingdb reference sets
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Reference samples for the targets of [samplingdb](https://github.com/h2o64/samplingdb), a PyTorch
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library of unnormalised densities for benchmarking samplers. A sampler's output is scored against
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+
these sets. Each one comes from a long Markov chain run on the target's own density (MCMC, or
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replica-exchange molecular dynamics for the peptides), or from an exact sampler where the posterior
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allows one, and passed the convergence and independence checks below before it was published here.
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You do not need to download anything by hand. samplingdb fetches a set the first time it is used,
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checks its sha256, and keeps it in its cache.
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## Quick start
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```python
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import samplingdb
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samplingdb.download_references(['lj55', 'ace-a-nme-T300']) # by catalog name
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samplingdb.download_references() # every published set, 3.1 GB
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```
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this repo, so a copy of the repo is a ready cache:
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```sh
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hf download h2o64/samplingdb --repo-type dataset --revision v2 --local-dir "$SAMPLINGDB_CACHE"
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```
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Without samplingdb, every file is a plain NumPy array:
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import numpy as np
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from huggingface_hub import hf_hub_download
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path = hf_hub_download('h2o64/samplingdb', 'pt/dw4_d9994289.npy', repo_type='dataset', revision='v2')
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x = np.load(path) # (n_samples, dim)
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```
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## Files
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Each row of an array is one sample, flattened, in the coordinates the samplingdb target's
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| Folder | Targets | Coordinates |
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| --- | --- | --- |
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| `pt/` | DW-4, LJ-13, LJ-55 | particle positions; samplingdb removes the centre of mass when it reads them |
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+
| `pt/` | binary Kob-Andersen glass | particle positions in the periodic box, species in canonical order |
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| `swapmc/` | ternary Kob-Andersen glass | particle positions in the periodic box, species in canonical order |
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| `md/` | peptides | atom positions in nanometres, in the atom order of the released PDB |
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| `stan/` | Bayesian posteriors | the unconstrained parameters, in samplingdb's order |
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| `exact/` | the Brownian motion posterior | the unconstrained parameters, in samplingdb's order |
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A file is named `<folder>/<target name>_<spec_id>.npy`. The `spec_id` is a hash of the constants
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that define the density, so a set can never be read against a different density than the one it
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| File | `build` name | Samples | dim | dtype | Size | Independence |
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| --- | --- | --- | --- | --- | --- | --- |
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| `pt/dw4_d9994289.npy` | `dw4` | 102400 | 8 | float32 | 3.3 MB | 91% effective |
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| `pt/lj13_bd3bc3a0.npy` | `lj13` | 102400 | 39 | float32 | 16.0 MB | 98% effective |
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| `pt/lj55_01c56181.npy` | `lj55` | 100352 | 165 | float32 | 66.2 MB | 100% effective |
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| `pt/ka-binary-N64-T0.2_e60ecba4.npy` | `ka-binary-N64-T0.2` | 30720 | 128 | float32 | 15.7 MB | 91% effective |
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| `stan/seeds_f9a50f20.npy` | `seeds` | 100000 | 26 | float64 | 20.8 MB | bulk ESS 96% of the draws |
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| `exact/brownian_45794097.npy` | `brownian` | 100000 | 32 | float64 | 25.6 MB | exact independent draws |
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| `stan/lgcp_cea6d9a6.npy` | `lgcp` | 100000 | 1600 | float64 | 1280.0 MB | bulk ESS 90% of the draws |
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| `stan/lgcp-whitened_30e98363.npy` | `lgcp-whitened` | 100000 | 1600 | float64 | 1280.0 MB | bulk ESS 98% of the draws |
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| `stan/breast-cancer_543f5f94.npy` | `breast-cancer` | 100000 | 31 | float64 | 24.8 MB | bulk ESS 102% of the draws |
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| `stan/german-credit_3cfdf175.npy` | `german-credit` | 100000 | 25 | float64 | 20.0 MB | bulk ESS 110% of the draws |
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| `stan/ionosphere_d00109c3.npy` | `ionosphere` | 100000 | 35 | float64 | 28.0 MB | bulk ESS 96% of the draws |
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| `stan/sonar_52aa10ef.npy` | `sonar` | 100000 | 61 | float64 | 48.8 MB | bulk ESS 108% of the draws |
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| `md/aaa-T310_e0bfbee3.npy` | `aaa-T310` | 100000 | 99 | float32 | 39.6 MB | 92% effective |
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| `md/aaaaaa-T310_08d2d916.npy` | `aaaaaa-T310` | 100005 | 189 | float32 | 75.6 MB | 98% effective |
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+
| `md/ace-a-nme-T300_54968005.npy` | `ace-a-nme-T300` | 100000 | 66 | float32 | 26.4 MB | 96% effective |
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| `md/ace-aaa-nme-T300_cda31701.npy` | `ace-aaa-nme-T300` | 100000 | 126 | float32 | 50.4 MB | 94% effective |
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+
| `swapmc/ka-ternary-N44-T0.32_d50e8a3f.npy` | `ka-ternary-N44-T0.32` | 131072 | 88 | float32 | 46.1 MB | 93% effective |
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+
| `swapmc/ka-ternary-N44-T1.0_c0f9b3b8.npy` | `ka-ternary-N44-T1.0` | 163840 | 88 | float32 | 57.7 MB | 92% effective |
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Independence is the effective sample size as a fraction of the rows: measured on the stored chains
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for the tempered runs and the glass, and Stan's smallest bulk ESS for the posteriors, which exceeds
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100% where successive NUTS draws are anticorrelated. The exact draws are independent by
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construction.
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The rows are interleaved across chains, so the first `n` rows of a file span every chain of the run
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that produced it, and `test_samples(n=...)` can read a prefix.
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| Folder | Sampler | Checked before writing |
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| --- | --- | --- |
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| `pt/` | non-reversible parallel tempering with HMC moves | every chain makes 10 round trips and every pair of adjacent levels accepts at least 5% of its swaps; the set is at least 90% independent; the binary glass, merged from shards, also shows no drift from its start, and its chains started from deep configurations and from a melt agree within 4 standard errors |
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| `md/` | replica-exchange molecular dynamics with solute tempering, BAOAB at 1 fs | every replica makes a round trip and every pair of adjacent levels accepts at least 5% of its swaps; each shard's energy agrees between the two halves of its run within 5 standard errors; the merged set is at least 90% independent on the pair distances and backbone torsions. The integrator is unadjusted: at 1 fs it puts Ace-A-Nme's mean energy about 0.1 kT above the zero-timestep limit |
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| `swapmc/` | swap Monte Carlo on the GPU, 16 384 chains started from equilibrated configurations and stored at a fixed spacing | the merged set is at least 90% independent on the energy and the pair distances, with no drift from its start, and the specific heat agrees between the two halves of the run |
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| `stan/` | Stan's NUTS, on models written in samplingdb's own coordinates | Stan's log density equals samplingdb's to 1e-9; R-hat below 1.01, bulk ESS above 90% of the draws, no divergences |
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| `exact/` | rejection sampling of the two log scales from their priors against the bounded marginal likelihood, then the locations from their exact Gaussian conditional | the factorised density equals samplingdb's up to a constant, to 1e-8 across 1000 random points; every proposal stays below the bound |
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## Versions
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samplingdb pins one tag of this repo and the sha256 of every file it reads, so every samplingdb
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version keeps reading the exact bytes it was tested against. A density change gets a new
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`spec_id`, and therefore a new file. A set regenerated for the same density keeps its file name and
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changes its bytes under a new tag; samplingdb refuses a cached copy from another tag.
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| Tag | Contents |
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| --- | --- |
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| `v1` | 17 sets |
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| `v2` | the Brownian posterior from an exact sampler, under `exact/` in place of `stan/`; both ternary glass sets regenerated on the GPU; the three particle sets, unchanged, under new names, since the particle count joined their `spec_id`; the binary Kob-Andersen glass at T = 0.2, published for the first time; every set under the MIT License, in place of CC BY 4.0 |
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## License and attribution
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The samples are released under the MIT License, like samplingdb. They are draws from densities
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that others defined, so please also credit the sources of the densities you use:
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- DW-4, LJ-13 and LJ-55: the potentials of Köhler et al. 2020, as implemented in bgflow.
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- The logistic regressions: the Ionosphere, Sonar, Statlog (German Credit) and Breast Cancer
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Amber ff99SB-ILDN and ff14SB force fields and OBC implicit solvent, evaluated with OpenMM.
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- The ternary glass: the swap-friendly Kob-Andersen mixture of Jung et al. 2023, after Kob and
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Andersen 1995.
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- The binary glass: the two-dimensional 80:20 Kob-Andersen mixture of Cheng et al. 2026, after Kob
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and Andersen 1995.
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