| { |
| "@context": { |
| "@language": "en", |
| "@vocab": "https://schema.org/", |
| "conformsTo": "dct:conformsTo", |
| "cr": "http://mlcommons.org/croissant/", |
| "dataType": { |
| "@id": "cr:dataType", |
| "@type": "@vocab" |
| }, |
| "dct": "http://purl.org/dc/terms/", |
| "prov": "http://www.w3.org/ns/prov#", |
| "rai": "http://mlcommons.org/croissant/RAI/", |
| "sc": "https://schema.org/", |
| "value": { |
| "@id": "cr:value", |
| "@type": "@json" |
| }, |
| "recordSet": "cr:recordSet", |
| "field": "cr:field", |
| "includes": "cr:includes", |
| "source": "cr:source", |
| "fileSet": "cr:fileSet", |
| "extract": "cr:extract", |
| "column": "cr:column" |
| }, |
| "@type": "sc:Dataset", |
| "name": "Poisson_Multimode PosteriorDataset", |
| "description": "PosteriorBench v2.0 Hugging Face Arrow posterior-test dataset for the Poisson_Multimode inverse problem. It contains 10 validation cases and 490 test cases. Each case stores canonical reference fields a_ref and u_ref, optional observation masks and metadata, 100 posterior samples for a and u, and normalized posterior weights. Normalization statistics are intentionally taken from the linked training dataset data/PBench/PDEFieldDataset_hf/Poisson_Multimode.", |
| "conformsTo": [ |
| "http://mlcommons.org/croissant/1.1", |
| "http://mlcommons.org/croissant/RAI/1.0" |
| ], |
| "url": "https://huggingface.co/datasets/anonymousmay/PosteriorBench", |
| "license": "https://creativecommons.org/licenses/by/4.0/", |
| "creator": { |
| "@type": "Organization", |
| "name": "PosteriorBench / DDIS contributors", |
| "url": "https://github.com/neuraloperator/FunDPS-Physics-Guidance" |
| }, |
| "publisher": { |
| "@type": "Organization", |
| "name": "PosteriorBench / DDIS contributors", |
| "url": "https://github.com/neuraloperator/FunDPS-Physics-Guidance" |
| }, |
| "dateCreated": "2026-05-07", |
| "datePublished": "2026-05-07", |
| "dateModified": "2026-05-07", |
| "version": "2.0", |
| "keywords": [ |
| "Poisson equation", |
| "partial differential equation", |
| "inverse problems", |
| "posterior sampling", |
| "diffusion models", |
| "scientific machine learning", |
| "uncertainty quantification" |
| ], |
| "distribution": [ |
| { |
| "@type": "cr:FileSet", |
| "@id": "posterior-arrow-shards", |
| "includes": "*/data-*.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00000-of-00014.arrow", |
| "contentUrl": "test/data-00000-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "0a37ef90280e64963e6186b073e7d1e90fa52a0f0244af86e50806d8d77ebbe8" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00001-of-00014.arrow", |
| "contentUrl": "test/data-00001-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "9e9ba19c68a808a41ac215626abd70c3a1dffe3758a7f47756cce7794993a613" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00002-of-00014.arrow", |
| "contentUrl": "test/data-00002-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "057c517ce7d7406f2eb8c1a02fbfac5a86cfd6e0d9fcc2b4de120b2ef60d7d33" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00003-of-00014.arrow", |
| "contentUrl": "test/data-00003-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "18dbfefca6ecee4188182b41579f0b629a1bd862099e95825cde771dcca1d4c9" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00004-of-00014.arrow", |
| "contentUrl": "test/data-00004-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "5a2fbfd3cdb33c23e74fcefbf9e397b87b08dc6a809beb4f4243ba2c4a00b102" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00005-of-00014.arrow", |
| "contentUrl": "test/data-00005-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "e21f69cbd3000ef9ddc498314175f1f2ba67bf4f690e6ff853036cf08f033a81" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00006-of-00014.arrow", |
| "contentUrl": "test/data-00006-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "5ee061ea5273dd0202ac38f6c0424f37fd99182950e355c0d86e240d401e5d16" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00007-of-00014.arrow", |
| "contentUrl": "test/data-00007-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "e1b896b7dc53fd8b582bd25b166a9d3b45dc8995e0d1f26980d956b3593a3d10" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00008-of-00014.arrow", |
| "contentUrl": "test/data-00008-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "7dbcb042d9d6b056df2f99938a27db4d5f533699465ac9001b3888b8be3033a7" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00009-of-00014.arrow", |
| "contentUrl": "test/data-00009-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "e336b411a16c0c41c4e1ae85925575c6b0d5d8ff44994f2f66ace166158e7571" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00010-of-00014.arrow", |
| "contentUrl": "test/data-00010-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "0084744d6c38ca6c215406dc1e1cbdd66ecafcbd4947398244c4946e2e58ff07" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00011-of-00014.arrow", |
| "contentUrl": "test/data-00011-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "96ef05547a79bba2d74eead1e5df9d3203a7203c93c767464c066dc6148fdd7e" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00012-of-00014.arrow", |
| "contentUrl": "test/data-00012-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "3ffe4ddf9e7c95b511a453605c1489f22f600a17a8ace23eaf28a827637dcabb" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/data-00013-of-00014.arrow", |
| "contentUrl": "test/data-00013-of-00014.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "4aa8ea3e3f19734f351d7f7f045501931865ca1a788e692a34df60a31107bc2b" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "validation/data-00000-of-00001.arrow", |
| "contentUrl": "validation/data-00000-of-00001.arrow", |
| "encodingFormat": "application/vnd.apache.arrow.stream", |
| "sha256": "b057f4731b33afda29fcb1f8f9fabc47371a0d4505a670b6e1a1f820e495848e" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "dataset_dict.json", |
| "contentUrl": "dataset_dict.json", |
| "encodingFormat": "application/json", |
| "sha256": "36e04f8de625a0445537356be6bf3cba7b031593822216fc6c885da7314a97db" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "metadata.json", |
| "contentUrl": "metadata.json", |
| "encodingFormat": "application/json", |
| "sha256": "d21851ebe953d99272c2dfd1efda4e5b8508d42a975b3b87e93eb0758d8bdd2d" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "validation/dataset_info.json", |
| "contentUrl": "validation/dataset_info.json", |
| "encodingFormat": "application/json", |
| "sha256": "88cc942bb295ec880b613a7ea995e8d1034529261d1f4dee156cb9c7b4908e94" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "validation/state.json", |
| "contentUrl": "validation/state.json", |
| "encodingFormat": "application/json", |
| "sha256": "f147bdf834dd89075b378fa1f7aa299a2b1b2d3b9026c83d0e73f8e67e9b3aa9" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/dataset_info.json", |
| "contentUrl": "test/dataset_info.json", |
| "encodingFormat": "application/json", |
| "sha256": "88cc942bb295ec880b613a7ea995e8d1034529261d1f4dee156cb9c7b4908e94" |
| }, |
| { |
| "@type": "cr:FileObject", |
| "@id": "test/state.json", |
| "contentUrl": "test/state.json", |
| "encodingFormat": "application/json", |
| "sha256": "65162de8d2898575a4cdfcecccee29adabeb7e35348cf4123b667531180f5128" |
| } |
| ], |
| "rai:dataLimitations": "The dataset is synthetic Poisson_Multimode posterior benchmark data at fixed resolution [128, 128]; observations are partial.", |
| "rai:dataBiases": "The data are synthetic and inherit the parameter ranges, resolution, and case selection of their source generators.", |
| "rai:personalSensitiveInformation": "No personal or sensitive information is present.", |
| "rai:dataUseCases": [ |
| "Benchmarking posterior sampling and reconstruction methods for synthetic inverse problems.", |
| "Training or evaluating scientific machine-learning models with PosteriorBench v2.0 loaders.", |
| "Not recommended for claims about real-world physical systems without validation against domain data." |
| ], |
| "rai:dataSocialImpact": "Positive impact is expected primarily through reproducible scientific machine-learning benchmarks for inverse problems.", |
| "rai:hasSyntheticData": true, |
| "prov:wasDerivedFrom": [ |
| { |
| "@id": "urn:posteriorbench:source:poisson_multimode_posterior", |
| "@type": "prov:Entity", |
| "name": "data/PBench/poisson_distribution_data_3e-4.zip", |
| "description": "Raw Poisson posterior case archive converted to PosteriorBench v2.0 validation/test cases." |
| } |
| ], |
| "prov:wasGeneratedBy": [ |
| { |
| "@id": "urn:posteriorbench:activity:poisson_multimode_hf_export", |
| "@type": "prov:Activity", |
| "name": "PosteriorBench v2.0 HF export", |
| "description": "The conversion stores canonical fields and metadata as a Hugging Face Dataset backed by Apache Arrow shards." |
| } |
| ], |
| "recordSet": [ |
| { |
| "@type": "cr:RecordSet", |
| "@id": "poisson_multimode_posterior", |
| "field": [ |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/splits", |
| "dataType": "sc:Text", |
| "value": { |
| "validation": 10, |
| "test": 490, |
| "total": 500 |
| } |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/case_id", |
| "dataType": "sc:Text", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "case_id" |
| } |
| } |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/a_ref", |
| "dataType": "cr:Float32", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "a_ref" |
| } |
| }, |
| "description": "Reference canonical a field with channels ['a'] and shape [1, 128, 128]." |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/u_ref", |
| "dataType": "cr:Float32", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "u_ref" |
| } |
| }, |
| "description": "Reference canonical u field with channels ['u'] and shape [1, 128, 128]." |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/mask", |
| "dataType": "cr:Float32", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "mask" |
| } |
| }, |
| "description": "Observation mask when available; null for full-field or metadata-only observations." |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/posterior_samples_a", |
| "dataType": "cr:Float32", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "posterior_samples_a" |
| } |
| }, |
| "description": "Posterior samples for a with shape [100, 1, 128, 128]." |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/posterior_samples_u", |
| "dataType": "cr:Float32", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "posterior_samples_u" |
| } |
| }, |
| "description": "Posterior samples for u with shape [100, 1, 128, 128]." |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/posterior_weights", |
| "dataType": "cr:Float32", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "posterior_weights" |
| } |
| }, |
| "description": "Normalized posterior weights with length 100." |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/params", |
| "dataType": "sc:Text", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "params" |
| } |
| }, |
| "description": "Case-level generation parameters when available." |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/metadata", |
| "dataType": "sc:Text", |
| "source": { |
| "fileSet": { |
| "@id": "posterior-arrow-shards" |
| }, |
| "extract": { |
| "column": "metadata" |
| } |
| }, |
| "description": "Case-level source, observation, and conversion metadata." |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/training_dataset", |
| "dataType": "sc:Text", |
| "value": "data/PBench/PDEFieldDataset_hf/Poisson_Multimode" |
| }, |
| { |
| "@type": "cr:Field", |
| "@id": "poisson_multimode_posterior/normalization", |
| "dataType": "sc:Text", |
| "value": "Use DatasetNormalizer.from_training_dataset(training_dataset); PosteriorDataset does not carry independent normalization stats." |
| } |
| ] |
| } |
| ] |
| } |
|
|
