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1
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20241104T180759.080Z
Method: cc, train group a;
cc_train_a
{"e0s":[4.796298934616344e-15,-16.370982192772885,-2.2737367544323206e-13,0.0,-8.526512829121202e-14(...TRUNCATED)
{"test":[10018566,10018791,10018906,10018937,10018978,10019015,10019038,10019064,10019110,10019121,1(...TRUNCATED)
[7692147,4307087,1751120,1653968,8939535,988562,4578530,2987868,1728538,6206514,2259596,471787,90679(...TRUNCATED)
[9431859,4012024,7864607,9080832,774747,9693758,1541172,1775669,3204223,9532044,9238425,9779083,3013(...TRUNCATED)
1
true
20241104T180842.323Z
Method: cc, train group b;
cc_train_b
{"e0s":[-2.489516883226371e-15,-16.322400217850827,-4.547473508864641e-13,4.547473508864641e-13,2.27(...TRUNCATED)
{"test":[10018566,10018791,10018906,10018937,10018978,10019015,10019038,10019064,10019110,10019121,1(...TRUNCATED)
[3386514,8323364,3436202,5005708,5818730,7496519,6541024,44717,3430419,6232478,7059307,8352013,54268(...TRUNCATED)
[2583107,4732278,2093296,2094847,7352750,8904505,10287713,3962183,2528987,4740886,654169,197683,5453(...TRUNCATED)
1
true
20241104T180925.080Z
Method: cc, train group c;
cc_train_c
{"e0s":[-2.6202336020446953e-17,-16.327483854122875,-3.410605131648481e-13,-4.547473508864641e-13,-5(...TRUNCATED)
{"test":[10018566,10018791,10018906,10018937,10018978,10019015,10019038,10019064,10019110,10019121,1(...TRUNCATED)
[5585650,3257833,4450586,8457743,4891517,8857520,4430570,1367683,8521576,5598348,10059849,9365038,75(...TRUNCATED)
[8876870,1267503,1487695,3142634,3976550,6151003,10223798,3486803,8499425,4913675,2225527,3563199,55(...TRUNCATED)
1
false
20241104T181006.672Z
Method: cc, train group d;
cc_train_d
{"e0s":[-7.65218838620791e-15,-16.32756945197798,4.547473508864641e-13,-5.684341886080802e-14,0.0,0.(...TRUNCATED)
{"test":[10018566,10018791,10018906,10018937,10018978,10019015,10019038,10019064,10019110,10019121,1(...TRUNCATED)
[4509553,2306821,7547802,4678486,8104194,6733913,687286,677569,5257433,7124472,2771130,6972823,16012(...TRUNCATED)
[3351192,5094370,1982836,5224900,5700744,5416703,679592,9316820,9317175,4554214,8735067,3183297,3334(...TRUNCATED)
1
true
20241104T180440.627Z
Method: dft, train group a;
dft_train_a
{"e0s":[4.798304311368801e-15,-16.28322630297248,-2.2737367544323206e-13,0.0,-8.526512829121202e-14,(...TRUNCATED)
{"test":[10018567,10018792,10018907,10018938,10018979,10019016,10019039,10019065,10019111,10019122,1(...TRUNCATED)
[7692148,4307088,1751121,1653969,8939536,988563,4578531,2987869,1728539,6206515,2259597,471788,90679(...TRUNCATED)
[9431860,4012025,7864608,9080833,774748,9693759,1541173,1775670,3204224,9532045,9238426,9779084,3013(...TRUNCATED)
1
true
20241104T180530.523Z
Method: dft, train group b;
dft_train_b
{"e0s":[-2.4909113201813763e-15,-16.236183482785236,-4.547473508864641e-13,4.547473508864641e-13,2.2(...TRUNCATED)
{"test":[10018567,10018792,10018907,10018938,10018979,10019016,10019039,10019065,10019111,10019122,1(...TRUNCATED)
[3386515,8323365,3436203,5005709,5818731,7496520,6541025,44718,3430420,6232479,7059308,8352014,54268(...TRUNCATED)
[2583108,4732279,2093297,2094848,7352751,8904506,10287714,3962184,2528988,4740887,654170,197684,5453(...TRUNCATED)
1
true
20241104T180620.338Z
Method: dft, train group c;
dft_train_c
{"e0s":[-2.6503842287823075e-17,-16.233412491940953,-3.979039320256561e-13,-4.547473508864641e-13,-5(...TRUNCATED)
{"test":[10018567,10018792,10018907,10018938,10018979,10019016,10019039,10019065,10019111,10019122,1(...TRUNCATED)
[5585651,3257834,4450587,8457744,4891518,8857521,4430571,1367684,8521577,5598349,10059850,9365039,75(...TRUNCATED)
[8876871,1267504,1487696,3142635,3976551,6151004,10223799,3486804,8499426,4913676,2225528,3563200,55(...TRUNCATED)
1
false
20241104T180709.593Z
Method: dft, train group d;
dft_train_d
{"e0s":[-7.657009917488205e-15,-16.26207329868862,4.547473508864641e-13,-5.684341886080802e-14,0.0,0(...TRUNCATED)
{"test":[10018567,10018792,10018907,10018938,10018979,10019016,10019039,10019065,10019111,10019122,1(...TRUNCATED)
[4509554,2306822,7547803,4678487,8104195,6733914,687287,677570,5257434,7124473,2771131,6972824,16012(...TRUNCATED)
[3351193,5094371,1982837,5224901,5700745,5416704,679593,9316821,9317176,4554215,8735068,3183298,3334(...TRUNCATED)
1
true
20241104T181048.401Z
Method: xtb, train group a;
xtb_train_a
{"e0s":[2.452596662187856e-16,-13.800419630929092,-1.4210854715202004e-14,0.0,-3.552713678800501e-15(...TRUNCATED)
{"test":[10020608,10020839,10020959,10020995,10021035,10021072,10021091,10021120,10021161,10021175,1(...TRUNCATED)
[7694377,4309246,1753261,1656110,8941697,990751,4580682,2989963,1730687,6208642,2261748,473810,90700(...TRUNCATED)
[9433991,4014170,7866733,9082976,776913,9695809,1543287,1777775,3206374,9534126,9240481,9781220,3015(...TRUNCATED)
1
true
20241104T181155.044Z
Method: xtb, train group b;
xtb_train_b
{"e0s":[-1.3383430805357442e-16,-13.767883750908922,-2.4868995751603507e-14,4.263256414560601e-14,1.(...TRUNCATED)
{"test":[10020608,10020839,10020959,10020995,10021035,10021072,10021091,10021120,10021161,10021175,1(...TRUNCATED)
[3388645,8325493,3438305,5007846,5820866,7498623,6543183,46771,3432548,6234596,7061450,8354144,54290(...TRUNCATED)
[2585239,4734369,2095488,2097028,7354853,8906651,10289844,3964319,2531145,4742989,656342,199816,5456(...TRUNCATED)
End of preview. Expand in Data Studio

Multi-Fidelity Training of Machine-Learned Force Fields — Dataset

Dataset accompanying the paper Understanding Multi-Fidelity Training of Machine-Learned Force-Fields.

File Structure

data/
├── data.lmdb                      # LMDB database with atomic structures and labels
├── metadata.parquet               # Lightweight metadata index
├── schema.json                    # Schema for the metadata
├── {method}_train_{a,b,c,d}.json  # Train/validation/test split definitions (12 files)
  • data.lmdb — The main database containing atomic positions, atomic numbers, energies, and forces for each structure.
  • metadata.parquet — A metadata index with columns: formula, conformation_idx, method, n_atoms, energy, forces_present, energy_unit, forces_unit, idx.
  • {method}_train_{a,b,c,d}.json — Split files defining train, validation, and test indices for each method (dft, xtb, cc) and training group (ad). Indices reference entries in the LMDB database.
  • schema.json — Schema definition for the metadata fields.

Code

The code to reproduce the experiments in the paper is available at github.com/microsoft/multi-fidelity-training-mlff.

Citation

@online{Gardner2025Understanding,
  title = {Understanding Multi-Fidelity Training of Machine-Learned Force-Fields},
  author = {Gardner, John L. A. and Schulz, Hannes and Helie, Jean and Sun, Lixin and Simm, Gregor N. C.},
  date = {2025-06-17},
  eprint = {2506.14963},
  eprinttype = {arXiv},
  eprintclass = {physics},
  doi = {10.48550/arXiv.2506.14963},
  url = {http://arxiv.org/abs/2506.14963}
}

License

This dataset is released under the MIT License.

Contact

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