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FIM-Estimation / README.md
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metadata
license: cc-by-sa-4.0
language:
  - en
configs:
  - config_name: xxz_300_z.seed03.gt_fim
    data_files:
      - split: test
        path: xxz_300_z/seed_03/gt_fim.parquet
  - config_name: xxz_300_z.seed04.gt_fim
    data_files:
      - split: test
        path: xxz_300_z/seed_04/gt_fim.parquet
  - config_name: xxz_300_z.seed05
    data_files:
      - split: train
        path: xxz_300_z/seed_05/d_train.parquet
      - split: test
        path: xxz_300_z/seed_05/d_test.parquet
  - config_name: xxz_300_z.seed06
    data_files:
      - split: train
        path: xxz_300_z/seed_06/d_train.parquet
      - split: test
        path: xxz_300_z/seed_06/d_test.parquet
  - config_name: xxz_300_z.seed07
    data_files:
      - split: train
        path: xxz_300_z/seed_07/d_train.parquet
      - split: test
        path: xxz_300_z/seed_07/d_test.parquet
  - config_name: xxz_300_z.seed08
    data_files:
      - split: train
        path: xxz_300_z/seed_08/d_train.parquet
      - split: test
        path: xxz_300_z/seed_08/d_test.parquet
  - config_name: xxz_300_z.seed09
    data_files:
      - split: train
        path: xxz_300_z/seed_09/d_train.parquet
      - split: test
        path: xxz_300_z/seed_09/d_test.parquet
  - config_name: xxz_300_z.seed10
    data_files:
      - split: train
        path: xxz_300_z/seed_10/d_train.parquet
      - split: test
        path: xxz_300_z/seed_10/d_test.parquet
  - config_name: xxz_300_z.seed11
    data_files:
      - split: train
        path: xxz_300_z/seed_11/d_train.parquet
      - split: test
        path: xxz_300_z/seed_11/d_test.parquet
  - config_name: xxz_300_z.seed12
    data_files:
      - split: train
        path: xxz_300_z/seed_12/d_train.parquet
      - split: test
        path: xxz_300_z/seed_12/d_test.parquet
  - config_name: xxz_300_z.seed13
    data_files:
      - split: train
        path: xxz_300_z/seed_13/d_train.parquet
      - split: test
        path: xxz_300_z/seed_13/d_test.parquet
  - config_name: xxz_300_z.seed14
    data_files:
      - split: train
        path: xxz_300_z/seed_14/d_train.parquet
      - split: test
        path: xxz_300_z/seed_14/d_test.parquet
  - config_name: xxz_300_z.seed15
    data_files:
      - split: train
        path: xxz_300_z/seed_15/d_train.parquet
      - split: test
        path: xxz_300_z/seed_15/d_test.parquet
  - config_name: isnnn_400.seed01
    data_files:
      - split: train
        path: isnnn_400/seed_01/d_train.parquet
      - split: test
        path: isnnn_400/seed_01/d_test.parquet
    description: >-
      Samples for IsNNN400 statistical manifold generated with seed=1. `sample`
      column is formatted as bytearray of length 50 bytes (400 bits) and
      represents a spin configuration of 20x20 lattice with bit 0 corresponding
      to Z=+1 and bit 1 corresponding to Z=-1.
  - config_name: isnnn_400.seed01.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_01/gt_fim.parquet
  - config_name: isnnn_400.seed02
    data_files:
      - split: train
        path: isnnn_400/seed_02/d_train.parquet
      - split: test
        path: isnnn_400/seed_02/d_test.parquet
  - config_name: isnnn_400.seed02.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_02/gt_fim.parquet
  - config_name: isnnn_400.seed03
    data_files:
      - split: train
        path: isnnn_400/seed_03/d_train.parquet
      - split: test
        path: isnnn_400/seed_03/d_test.parquet
  - config_name: isnnn_400.seed03.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_03/gt_fim.parquet
  - config_name: isnnn_400.seed04
    data_files:
      - split: train
        path: isnnn_400/seed_04/d_train.parquet
      - split: test
        path: isnnn_400/seed_04/d_test.parquet
  - config_name: isnnn_400.seed04.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_04/gt_fim.parquet
  - config_name: isnnn_400.seed05
    data_files:
      - split: train
        path: isnnn_400/seed_05/d_train.parquet
      - split: test
        path: isnnn_400/seed_05/d_test.parquet
  - config_name: isnnn_400.seed05.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_05/gt_fim.parquet
  - config_name: isnnn_400.seed06
    data_files:
      - split: train
        path: isnnn_400/seed_06/d_train.parquet
      - split: test
        path: isnnn_400/seed_06/d_test.parquet
  - config_name: isnnn_400.seed06.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_06/gt_fim.parquet
  - config_name: isnnn_400.seed07
    data_files:
      - split: train
        path: isnnn_400/seed_07/d_train.parquet
      - split: test
        path: isnnn_400/seed_07/d_test.parquet
  - config_name: isnnn_400.seed07.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_07/gt_fim.parquet
  - config_name: isnnn_400.seed08
    data_files:
      - split: train
        path: isnnn_400/seed_08/d_train.parquet
      - split: test
        path: isnnn_400/seed_08/d_test.parquet
  - config_name: isnnn_400.seed08.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_08/gt_fim.parquet
  - config_name: isnnn_400.seed09
    data_files:
      - split: train
        path: isnnn_400/seed_09/d_train.parquet
      - split: test
        path: isnnn_400/seed_09/d_test.parquet
  - config_name: isnnn_400.seed09.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_09/gt_fim.parquet
  - config_name: isnnn_400.seed10
    data_files:
      - split: train
        path: isnnn_400/seed_10/d_train.parquet
      - split: test
        path: isnnn_400/seed_10/d_test.parquet
  - config_name: isnnn_400.seed10.gt_fim
    data_files:
      - split: test
        path: isnnn_400/seed_10/gt_fim.parquet
  - config_name: hubbard_12.gt_fim
    data_files:
      - split: test
        path: hubbard_12/gt_fim.parquet
  - config_name: hubbard_12.seed42
    data_files:
      - split: train
        path: hubbard_12/seed_42/d_train.parquet
      - split: test
        path: hubbard_12/seed_42/d_test.parquet
  - config_name: hubbard_12.seed43
    data_files:
      - split: train
        path: hubbard_12/seed_43/d_train.parquet
      - split: test
        path: hubbard_12/seed_43/d_test.parquet
  - config_name: hubbard_12.seed44
    data_files:
      - split: train
        path: hubbard_12/seed_44/d_train.parquet
      - split: test
        path: hubbard_12/seed_44/d_test.parquet
  - config_name: hubbard_12.seed45
    data_files:
      - split: train
        path: hubbard_12/seed_45/d_train.parquet
      - split: test
        path: hubbard_12/seed_45/d_test.parquet
  - config_name: hubbard_12.seed46
    data_files:
      - split: train
        path: hubbard_12/seed_46/d_train.parquet
      - split: test
        path: hubbard_12/seed_46/d_test.parquet
  - config_name: hubbard_12.seed47
    data_files:
      - split: train
        path: hubbard_12/seed_47/d_train.parquet
      - split: test
        path: hubbard_12/seed_47/d_test.parquet
  - config_name: hubbard_12.seed48
    data_files:
      - split: train
        path: hubbard_12/seed_48/d_train.parquet
      - split: test
        path: hubbard_12/seed_48/d_test.parquet
  - config_name: hubbard_12.seed49
    data_files:
      - split: train
        path: hubbard_12/seed_49/d_train.parquet
      - split: test
        path: hubbard_12/seed_49/d_test.parquet
  - config_name: hubbard_12.seed50
    data_files:
      - split: train
        path: hubbard_12/seed_50/d_train.parquet
      - split: test
        path: hubbard_12/seed_50/d_test.parquet
  - config_name: hubbard_12.seed51
    data_files:
      - split: train
        path: hubbard_12/seed_51/d_train.parquet
      - split: test
        path: hubbard_12/seed_51/d_test.parquet
  - config_name: fil_24.gt_fim
    data_files:
      - split: test
        path: fil_24/gt_fim.parquet
  - config_name: fil_24.seed41
    data_files:
      - split: train
        path: fil_24/seed_41/d_train.parquet
      - split: test
        path: fil_24/seed_41/d_test.parquet
  - config_name: fil_24.seed42
    data_files:
      - split: train
        path: fil_24/seed_42/d_train.parquet
      - split: test
        path: fil_24/seed_42/d_test.parquet
  - config_name: fil_24.seed43
    data_files:
      - split: train
        path: fil_24/seed_43/d_train.parquet
      - split: test
        path: fil_24/seed_43/d_test.parquet
  - config_name: fil_24.seed44
    data_files:
      - split: train
        path: fil_24/seed_44/d_train.parquet
      - split: test
        path: fil_24/seed_44/d_test.parquet
  - config_name: fil_24.seed45
    data_files:
      - split: train
        path: fil_24/seed_45/d_train.parquet
      - split: test
        path: fil_24/seed_45/d_test.parquet
  - config_name: fil_24.seed46
    data_files:
      - split: train
        path: fil_24/seed_46/d_train.parquet
      - split: test
        path: fil_24/seed_46/d_test.parquet
  - config_name: fil_24.seed47
    data_files:
      - split: train
        path: fil_24/seed_47/d_train.parquet
      - split: test
        path: fil_24/seed_47/d_test.parquet
  - config_name: fil_24.seed48
    data_files:
      - split: train
        path: fil_24/seed_48/d_train.parquet
      - split: test
        path: fil_24/seed_48/d_test.parquet
  - config_name: fil_24.seed49
    data_files:
      - split: train
        path: fil_24/seed_49/d_train.parquet
      - split: test
        path: fil_24/seed_49/d_test.parquet
  - config_name: fil_24.seed50
    data_files:
      - split: train
        path: fil_24/seed_50/d_train.parquet
      - split: test
        path: fil_24/seed_50/d_test.parquet
  - config_name: fil_24.seed51
    data_files:
      - split: train
        path: fil_24/seed_51/d_train.parquet
      - split: test
        path: fil_24/seed_51/d_test.parquet
  - config_name: kitaev_20.gt_fim
    data_files:
      - split: test
        path: kitaev_20/gt_fim.parquet
  - config_name: kitaev_20.seed00
    data_files:
      - split: train
        path: kitaev_20/seed_00/d_train.parquet
      - split: test
        path: kitaev_20/seed_00/d_test.parquet
  - config_name: kitaev_20.seed01
    data_files:
      - split: train
        path: kitaev_20/seed_01/d_train.parquet
      - split: test
        path: kitaev_20/seed_01/d_test.parquet
  - config_name: kitaev_20.seed02
    data_files:
      - split: train
        path: kitaev_20/seed_02/d_train.parquet
      - split: test
        path: kitaev_20/seed_02/d_test.parquet
  - config_name: kitaev_20.seed03
    data_files:
      - split: train
        path: kitaev_20/seed_03/d_train.parquet
      - split: test
        path: kitaev_20/seed_03/d_test.parquet
  - config_name: kitaev_20.seed04
    data_files:
      - split: train
        path: kitaev_20/seed_04/d_train.parquet
      - split: test
        path: kitaev_20/seed_04/d_test.parquet
  - config_name: kitaev_20.seed05
    data_files:
      - split: train
        path: kitaev_20/seed_05/d_train.parquet
      - split: test
        path: kitaev_20/seed_05/d_test.parquet
  - config_name: kitaev_20.seed06
    data_files:
      - split: train
        path: kitaev_20/seed_06/d_train.parquet
      - split: test
        path: kitaev_20/seed_06/d_test.parquet
  - config_name: kitaev_20.seed07
    data_files:
      - split: train
        path: kitaev_20/seed_07/d_train.parquet
      - split: test
        path: kitaev_20/seed_07/d_test.parquet
  - config_name: kitaev_20.seed08
    data_files:
      - split: train
        path: kitaev_20/seed_08/d_train.parquet
      - split: test
        path: kitaev_20/seed_08/d_test.parquet
  - config_name: kitaev_20.seed09
    data_files:
      - split: train
        path: kitaev_20/seed_09/d_train.parquet
      - split: test
        path: kitaev_20/seed_09/d_test.parquet

Dataset Card for FIM-Estimation

Dataset Description

Dataset Summary

In a FIM-Estimation task, the input consists of the following components:

  1. A dataset of the form $\mathcal{D}_ {train} = {(\mathbf{\lambda}_ i, x_ i)}_ {i=1}^{\left|\mathcal{D}\right|}$, where $\vlambda_ i$ is a point in the parameter space and $x_ i$ is a sample.
  2. The structure of each sample $x_ i$. For example, if $x_ i\in{0,1}^n$ is a bitstring representing a measurement of a quantum system on a lattice with $n$ sites, then the said structure is the lattice and the correspondence between the bitstring bits and the lattice sites.
  3. Optionally, additional information about the statistical manifold. This could involve, e.g., the symmetries of the system used to generate the statistical manifold.

The task is to estimate Fisher Information Metric (FIM) as a matrix-valued function of parameter $\mathbf{\lambda}$.

In this dataset we present multiple such tasks (parameterised by task name and random seed). E.g. in order to solve the IsNNN400 task with seed=4 one would download config isnnn_400.seed04, split train, estimate the FIM, and compare the results with isnnn_400.seed04.gt_fim.

Additional information

We (TODO:plan to) present datasets corresponding to 6 statistical manifolds: XXZ300_Z, FIL24, etc. The data is stored as follows: data/xxz300_z contains the data for XXZ300_Z datasets. Within that directory, there are subdirectories of the form seed_?? each containing a dataset describing the same statistical manifold, but generated using a different seed (e.g. seed_05). We have seed_05/d_train.parquet, which is the dataset as described in #1 above. seed_05/d_test.parquet is a hold-out dataset which should not be used in estimation of $\mathbf{\lambda}$ (not even for hyperparameter tuning). data/xxz300_z/meta.json (TODO) represents the metadata (including information listed in #2 and #3 above) data/xxz300_z/fim_ground_truth.json (TODO) represents the ground truth FIM.

An algorithm attempting to solve the FIM-Estimation task XXZ300_Z(seed=05) shall take data/xxz300_z/seed_05/d_train.parquet and data/xxz300_z/meta.json as inputs and produce FIM estimates to be compared with data/xxz300_z/fim_ground_truth.json.