FIM-Estimation / README.md
Victor
Add kitaev_20 statistical manifold.
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---
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`.