{ "cells": [ { "cell_type": "markdown", "id": "de76c9bf", "metadata": {}, "source": [ "# MaterialsSaddles: minimal example\n", "\n", "Self-contained walkthrough that downloads a small representative sample of the [MaterialsSaddles](https://huggingface.co/datasets/AnonymouScientist/MaterialsSaddles) dataset, shows how to convert ASE-LMDB rows to `Atoms` objects (including a non-obvious `atoms.info` round-trip), walks one triplet of each kind, visualizes a reaction, loads the train/val/test split manifests, and reproduces three small panels of Fig. 1 of the accompanying NeurIPS 2026 Evaluations & Datasets Track submission. End-to-end runtime is roughly five minutes on a typical laptop connection (most of which is the ~1 GB sample download)." ] }, { "cell_type": "markdown", "id": "29d94894", "metadata": {}, "source": [ "## Choosing the representative sample\n", "\n", "The full release is 432 files / 687 GB across four subsets. We download exactly one shard per subset, picking the smallest available within each:\n", "\n", "| Subset | Search method | Shards in repo | Smallest shard size | Shard we download |\n", "|---|---|---|---|---|\n", "| `mp20bat` | CI-NEB | 32 | 19.5 MB | `mp20bat_neb_000.aselmdb` |\n", "| `oc22` | Dimer | 32 | 102 MB | `oc22_dimer_000.aselmdb` |\n", "| `oc20` | Dimer | 96 | 440 MB | `oc20_dimer_080.aselmdb` |\n", "| `lemat` | Dimer | 256 | 458 MB | `lemat_dimer_200.aselmdb` |\n", "\n", "Plus the four `splits/{subset}/test.parquet` manifests (~6 MB total). Total: ~1.0 GB.\n", "\n", "Within a subset, shards are content-equivalent (rows are partitioned by `ms_id` chunks at archive time, not by chemistry or by any quality signal), so any single shard is representative *within* its subset. Per-subset distribution peaks may shift slightly across the full sweep, so the figures below are honest single-shard estimates rather than full-dataset statistics. The full-dataset versions in the manuscript aggregate across all 416 shards via the production scan scripts in the package codebase." ] }, { "cell_type": "markdown", "id": "794d87bf", "metadata": {}, "source": [ "## Setup\n", "\n", "Install dependencies (skipped automatically if already present):" ] }, { "cell_type": "code", "execution_count": null, "id": "8c18668f", "metadata": {}, "outputs": [], "source": [ "import sys, subprocess\n", "subprocess.check_call([sys.executable, '-m', 'pip', 'install', '-q',\n", " 'ase>=3.26.0', 'ase_db_backends', 'huggingface_hub', 'pyarrow', 'matplotlib', 'numpy'])\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "86e61dfc", "metadata": {}, "outputs": [], "source": [ "import os\n", "from pathlib import Path\n", "\n", "import numpy as np\n", "import pyarrow.parquet as pq\n", "import matplotlib.pyplot as plt\n", "from ase.db import connect\n", "from ase.visualize.plot import plot_atoms\n", "from huggingface_hub import hf_hub_download\n", "\n", "REPO = \"AnonymouScientist/MaterialsSaddles\"\n", "DATA_DIR = Path(\"data\")\n", "DATA_DIR.mkdir(exist_ok=True)\n", "\n", "def row_to_atoms(row):\n", " \"\"\"\n", " The ASE-LMDB backend does NOT round-trip atoms.info on row.toatoms().\n", " The full original info dict lives in row.data['info']; restore it.\n", " \"\"\"\n", " atoms = row.toatoms()\n", " atoms.info.update(row.data[\"info\"])\n", " return atoms\n" ] }, { "cell_type": "markdown", "id": "2e0d26d4", "metadata": {}, "source": [ "## Download the sample" ] }, { "cell_type": "code", "execution_count": 5, "id": "533ce126", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " mp20bat/mp20bat_neb_000.aselmdb 19.46 MB\n", " oc22/oc22_dimer_000.aselmdb 102.30 MB\n", " oc20/oc20_dimer_080.aselmdb 438.73 MB\n", " lemat/lemat_dimer_200.aselmdb 458.13 MB\n", " splits/mp20bat/test.parquet 0.007 MB\n", " splits/oc22/test.parquet 0.032 MB\n", " splits/oc20/test.parquet 0.484 MB\n", " splits/lemat/test.parquet 5.859 MB\n" ] } ], "source": [ "SHARD_FILES = {\n", " \"mp20bat\": \"mp20bat/mp20bat_neb_000.aselmdb\",\n", " \"oc22\": \"oc22/oc22_dimer_000.aselmdb\",\n", " \"oc20\": \"oc20/oc20_dimer_080.aselmdb\",\n", " \"lemat\": \"lemat/lemat_dimer_200.aselmdb\",\n", "}\n", "\n", "shard_paths = {}\n", "for subset, fn in SHARD_FILES.items():\n", " local = hf_hub_download(repo_id=REPO, repo_type=\"dataset\",\n", " filename=fn, local_dir=str(DATA_DIR))\n", " shard_paths[subset] = local\n", " print(f\" {fn:40s} {os.path.getsize(local) / 1e6:7.2f} MB\")\n", "\n", "split_paths = {}\n", "for subset in SHARD_FILES:\n", " fn = f\"splits/{subset}/test.parquet\"\n", " split_paths[subset] = hf_hub_download(repo_id=REPO, repo_type=\"dataset\",\n", " filename=fn, local_dir=str(DATA_DIR))\n", " print(f\" {fn:40s} {os.path.getsize(split_paths[subset]) / 1e6:7.3f} MB\")\n" ] }, { "cell_type": "markdown", "id": "409001a0", "metadata": {}, "source": [ "## Open the shards\n", "\n", "Each `.aselmdb` is opened with `ase.db.connect`. The dataset stores R / S / P frames as **three consecutive rows**: triplet `k` lives at rows `(3k, 3k+1, 3k+2)` whose `ms_id` fields are also contiguous." ] }, { "cell_type": "code", "execution_count": 6, "id": "686f2d62", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " mp20bat shard: 3258 rows -> 1086 triplets\n", " oc22 shard: 15642 rows -> 5214 triplets\n", " oc20 shard: 78120 rows -> 26040 triplets\n", " lemat shard: 68667 rows -> 22889 triplets\n" ] } ], "source": [ "dbs = {subset: connect(shard_paths[subset], type=\"aselmdb\") for subset in SHARD_FILES}\n", "for subset, db in dbs.items():\n", " print(f\" {subset:8s} shard: {len(db):>7d} rows -> {len(db)//3:>6d} triplets\")\n" ] }, { "cell_type": "markdown", "id": "8b9c6851", "metadata": {}, "source": [ "## Convert a triplet to ASE Atoms (NEB and Dimer)\n", "\n", "For NEB rows the saddle is identified by `info[\"image_type\"] == \"climbing\"`. For dimer rows the saddle has `info[\"side\"] == 0` and ships with bond-change diagnostics. Both saddle rows ship with an eigenmode of shape `(natoms, 3)`." ] }, { "cell_type": "code", "execution_count": 9, "id": "06f01f88", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "[Dimer / oc22]\n", " R: Fe6Mn30O66 side=-1\n", " S: Fe6Mn30O66 side=0 eigenmode shape=(102, 3)\n", " P: Fe6Mn30O66 side=1\n", " bond changes: is_reaction=True, +7/-3\n", "[NEB / mp20bat]\n", " R: Fe12O52P12Rb3 image_type=endpoint\n", " S: Fe12O52P12Rb3 image_type=climbing eigenmode shape=(79, 3)\n", " P: Fe12O52P12Rb3 image_type=endpoint\n" ] } ], "source": [ "def first_triplet(db):\n", " return [row_to_atoms(row) for row in db.select(limit=3)]\n", "\n", "# Dimer triplet (oc22)\n", "R, S, P = first_triplet(dbs[\"oc22\"])\n", "print(\"\\n[Dimer / oc22]\")\n", "print(f\" R: {R.get_chemical_formula():<14} side={R.info['side']}\")\n", "print(f\" S: {S.get_chemical_formula():<14} side={S.info['side']} \"\n", " f\"eigenmode shape={S.info['eigenmode'].shape}\")\n", "print(f\" P: {P.get_chemical_formula():<14} side={P.info['side']}\")\n", "print(f\" bond changes: is_reaction={S.info['is_reaction']}, \"\n", " f\"+{S.info['n_formed_bonds']}/-{S.info['n_broken_bonds']}\")\n", "\n", "# NEB triplet (mp20bat)\n", "R, S, P = first_triplet(dbs[\"mp20bat\"])\n", "print(\"[NEB / mp20bat]\")\n", "print(f\" R: {R.get_chemical_formula():<14} image_type={R.info['image_type']}\")\n", "print(f\" S: {S.get_chemical_formula():<14} image_type={S.info['image_type']} \"\n", " f\"eigenmode shape={S.info['eigenmode'].shape}\")\n", "print(f\" P: {P.get_chemical_formula():<14} image_type={P.info['image_type']}\")\n" ] }, { "cell_type": "markdown", "id": "29e0a999", "metadata": {}, "source": [ "## Visualize the reaction" ] }, { "cell_type": "markdown", "id": "417d58e1", "metadata": {}, "source": [ "The sample reaction below from `mp20bat` is a vacancy hop of the right-most Rb atom (purple)." ] }, { "cell_type": "code", "execution_count": 10, "id": "aa1e23e5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(9, 3))\n", "for ax, atoms, title in zip(axes, [R, S, P], [\"Reactant\", \"Saddle\", \"Product\"]):\n", " plot_atoms(atoms, ax, radii=0.5, rotation=\"10x,5y,0z\")\n", " ax.set_title(f\"{title} ({atoms.get_chemical_formula()})\")\n", " ax.set_axis_off()\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "a49d471e", "metadata": {}, "source": [ "## Load a train/val/test split\n", "\n", "Each subset has 90/5/5 stratified, triplet-coherent split manifests as parquet files with a single `ms_id` column. Below: filter each shard's rows to its own test split." ] }, { "cell_type": "code", "execution_count": 11, "id": "49e4dac7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " mp20bat : test split = 5,211 ms_ids | shard contains 129 test rows (4.0% of shard)\n", " oc22 : test split = 25,098 ms_ids | shard contains 792 test rows (5.1% of shard)\n", " oc20 : test split = 388,065 ms_ids | shard contains 3,735 test rows (4.8% of shard)\n", " lemat : test split = 4,701,963 ms_ids | shard contains 3,390 test rows (4.9% of shard)\n" ] } ], "source": [ "for subset, db in dbs.items():\n", " test_ids = np.sort(pq.read_table(split_paths[subset])[\"ms_id\"].to_numpy())\n", " in_shard = sum(\n", " 1 for row in db.select()\n", " if (i := np.searchsorted(test_ids, row.data[\"info\"][\"ms_id\"])) < len(test_ids)\n", " and test_ids[i] == row.data[\"info\"][\"ms_id\"]\n", " )\n", " print(f\" {subset:8s}: test split = {len(test_ids):>9,} ms_ids | \"\n", " f\"shard contains {in_shard:>5,} test rows ({in_shard/len(db):.1%} of shard)\")\n" ] }, { "cell_type": "markdown", "id": "a2961cc2", "metadata": {}, "source": [ "## Reproduce two small panels of Fig. 1\n", "\n", "Computed on the loaded sample (one shard per subset). The manuscript figures aggregate across the full 416-shard sweep via the `analysis/` scripts in the package codebase." ] }, { "cell_type": "code", "execution_count": 12, "id": "d005acb9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "SUBSETS = [\"lemat\", \"oc20\", \"oc22\", \"mp20bat\"]\n", "COLORS = {\"lemat\": \"#1f77b4\", \"oc20\": \"#ff7f0e\", \"oc22\": \"#2ca02c\", \"mp20bat\": \"#d62728\"}\n", "\n", "def participation_ratio(eigenmode):\n", " v2 = (eigenmode ** 2).sum(axis=1)\n", " return (v2.sum() ** 2) / ((v2 ** 2).sum() * len(v2))\n", "\n", "# Panel a: number of atoms per structure (all 4 subsets)\n", "natoms = {s: np.array([len(row.toatoms()) for row in dbs[s].select()]) for s in SUBSETS}\n", "\n", "# Panel b: eigenmode participation ratio at the dimer saddles (3 dimer subsets)\n", "prs = {}\n", "for s in [\"lemat\", \"oc20\", \"oc22\"]:\n", " prs[s] = np.array([participation_ratio(row.data[\"info\"][\"eigenmode\"])\n", " for row in dbs[s].select() if row.data[\"info\"].get(\"side\") == 0])\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(8, 2.6))\n", "\n", "for s in SUBSETS:\n", " axes[0].hist(natoms[s], bins=40, range=(0, 200), alpha=0.5,\n", " label=s, density=True, color=COLORS[s])\n", "axes[0].set_xlabel(\"Number of atoms\"); axes[0].set_ylabel(\"Density\")\n", "axes[0].legend(fontsize=8)\n", "\n", "for s in [\"lemat\", \"oc20\", \"oc22\"]:\n", " axes[1].hist(prs[s], bins=40, range=(0, 0.5), alpha=0.5,\n", " label=s, density=True, color=COLORS[s])\n", "axes[1].set_xlabel(\"Participation ratio\"); axes[1].set_ylabel(\"Density\")\n", "axes[1].legend(fontsize=8)\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "bf693f35", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 5 }