upload data
Browse files- README.md +73 -1
- data/{train-00000-of-00010.parquet → train-00000-of-00016.parquet} +2 -2
- data/{train-00001-of-00010.parquet → train-00001-of-00016.parquet} +2 -2
- data/{train-00002-of-00010.parquet → train-00002-of-00016.parquet} +2 -2
- data/{train-00003-of-00010.parquet → train-00003-of-00016.parquet} +2 -2
- data/train-00004-of-00010.parquet +0 -3
- data/train-00004-of-00016.parquet +3 -0
- data/train-00005-of-00010.parquet +0 -3
- data/train-00005-of-00016.parquet +3 -0
- data/train-00006-of-00010.parquet +0 -3
- data/train-00006-of-00016.parquet +3 -0
- data/train-00007-of-00010.parquet +0 -3
- data/train-00007-of-00016.parquet +3 -0
- data/train-00008-of-00010.parquet +0 -3
- data/train-00008-of-00016.parquet +3 -0
- data/train-00009-of-00010.parquet +0 -3
- data/train-00009-of-00016.parquet +3 -0
- data/train-00010-of-00016.parquet +3 -0
- data/train-00011-of-00016.parquet +3 -0
- data/train-00012-of-00016.parquet +3 -0
- data/train-00013-of-00016.parquet +3 -0
- data/train-00014-of-00016.parquet +3 -0
- data/train-00015-of-00016.parquet +3 -0
- data/validation-00000-of-00001.parquet +2 -2
README.md
CHANGED
|
@@ -1,4 +1,76 @@
|
|
| 1 |
---
|
| 2 |
license: apache-2.0
|
| 3 |
-
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 4 |
---
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
---
|
| 2 |
license: apache-2.0
|
| 3 |
+
task_categories:
|
| 4 |
+
- text-generation
|
| 5 |
+
language:
|
| 6 |
+
- id
|
| 7 |
+
- en
|
| 8 |
+
tags:
|
| 9 |
+
- math
|
| 10 |
+
- reasoning
|
| 11 |
+
- cot
|
| 12 |
+
- tool-use
|
| 13 |
+
- code-interpreter
|
| 14 |
+
- engineering
|
| 15 |
+
- quantitative-finance
|
| 16 |
+
- olympic-math
|
| 17 |
+
size_categories:
|
| 18 |
+
- 100K<n<1M
|
| 19 |
+
configs:
|
| 20 |
+
- config_name: default
|
| 21 |
+
data_files:
|
| 22 |
+
- split: train
|
| 23 |
+
path: data/train-*
|
| 24 |
+
- split: validation
|
| 25 |
+
path: data/validation-*
|
| 26 |
---
|
| 27 |
+
|
| 28 |
+
# Lumina-Math-Repository (Lumina-Math-Foundation-V2)
|
| 29 |
+
|
| 30 |
+
Lumina-Math-Foundation-V2 is a massive, high-density mathematical and engineering reasoning dataset comprising **500,000 training instances** and **5,100 validation instances** uniformly spanning **255 specialized domain batches**.
|
| 31 |
+
|
| 32 |
+
Designed specifically for **Modular Tool-Integrated Reasoning (Code-Interpreter)**, each instance cleanly isolates conceptual mathematical reasoning from executable Python verification code, execution output, and final formal solutions.
|
| 33 |
+
|
| 34 |
+
## Key Highlights
|
| 35 |
+
- **100% Non-Trivial Ground Truth:** Every mathematical derivation and industrial design equation adheres to real engineering and academic standards (ASME, AISC, SNI, Uniswap v3 / Curve invariants, Calabi-Yau 3-folds, and GPU Roofline performance models). No toy formulas or dummy math.
|
| 36 |
+
- **Modular Tool-Integrated Reasoning (Code-Interpreter):**
|
| 37 |
+
- `thought`: Pure conceptual mathematical thinking and planning before code execution. Free of artificial phase markers or sycophancy.
|
| 38 |
+
- `code`: Deterministic, executable Python verification script (clean code without decorative ASCII boxes or curriculum fluff).
|
| 39 |
+
- `code_output`: Deterministic runtime / assertion confirmation.
|
| 40 |
+
- `thought_2`: Post-execution synthesis evaluating computational verification against analytical derivation.
|
| 41 |
+
- `solution`: Clean formal mathematical solution with unnumbered, standard headings (`Langkah Penyelesaian` & `Jawaban Akhir`).
|
| 42 |
+
- **Multi-Mode Reasoning Velocity:**
|
| 43 |
+
- **Short (~25%):** High-velocity derivation directly yielding the target answer.
|
| 44 |
+
- **Medium (~50%):** Standard balanced Chain-of-Thought (CoT) diagnostic and step-by-step resolution.
|
| 45 |
+
- **Long (~25%):** Comprehensive axiomatic derivation exploring boundary cases and formal verification.
|
| 46 |
+
- **Balanced 255-Batch Coverage:**
|
| 47 |
+
- Training set: ~1,960 - 1,961 records per batch across all 255 batches.
|
| 48 |
+
- Validation set: Exactly 20 records per batch across all 255 batches ($255 \times 20 = 5,100$). Disjoint seed space guarantees zero data contamination.
|
| 49 |
+
- **Direct Parquet Format:** Compact, columnar, and immediately queryable through the Hugging Face Dataset Viewer and `datasets.load_dataset`.
|
| 50 |
+
|
| 51 |
+
## Dataset Structure
|
| 52 |
+
|
| 53 |
+
### Features
|
| 54 |
+
| Column | Type | Description |
|
| 55 |
+
|---|---|---|
|
| 56 |
+
| `id` | string | Unique deterministic record identifier |
|
| 57 |
+
| `domain` | string | Specialized domain classification |
|
| 58 |
+
| `topic` | string | Specific mathematical/engineering topic |
|
| 59 |
+
| `mode` | string | Reasoning mode (`short`, `medium`, `long`) |
|
| 60 |
+
| `problem` | string | Clean problem statement / prompt |
|
| 61 |
+
| `thought` | string | Conceptual mathematical reasoning before code execution |
|
| 62 |
+
| `code` | string | Deterministic executable Python verification script |
|
| 63 |
+
| `code_output` | string | Execution output / assertion verification |
|
| 64 |
+
| `thought_2` | string | Post-execution synthesis reasoning |
|
| 65 |
+
| `solution` | string | Clean formal solution dossier (`Langkah Penyelesaian` & `Jawaban Akhir`) |
|
| 66 |
+
| `final_answer` | string | Extracted scalar/expression answer |
|
| 67 |
+
| `boxed_answer` | string | LaTeX boxed representation `\boxed{...}` |
|
| 68 |
+
|
| 69 |
+
## Usage
|
| 70 |
+
```python
|
| 71 |
+
from datasets import load_dataset
|
| 72 |
+
|
| 73 |
+
ds = load_dataset("cloverx-id/Lumina-Math-Repository")
|
| 74 |
+
print(ds["train"][0])
|
| 75 |
+
print(ds["validation"][0])
|
| 76 |
+
```
|
data/{train-00000-of-00010.parquet → train-00000-of-00016.parquet}
RENAMED
|
@@ -1,3 +1,3 @@
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:
|
| 3 |
-
size
|
|
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:74bbcc2228a14468d4346c798044cd471d9120f199149f4c241812221ea9a8b6
|
| 3 |
+
size 123377165
|
data/{train-00001-of-00010.parquet → train-00001-of-00016.parquet}
RENAMED
|
@@ -1,3 +1,3 @@
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:
|
| 3 |
-
size
|
|
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:f5b13a7907bcef4380958af547ce5b9068d7406998391e62c2314b36f2feea56
|
| 3 |
+
size 122860750
|
data/{train-00002-of-00010.parquet → train-00002-of-00016.parquet}
RENAMED
|
@@ -1,3 +1,3 @@
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:
|
| 3 |
-
size
|
|
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:53add329b2779d3ed8b48465e4ceba9c8272da74009b01199902df724402111a
|
| 3 |
+
size 122855465
|
data/{train-00003-of-00010.parquet → train-00003-of-00016.parquet}
RENAMED
|
@@ -1,3 +1,3 @@
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:
|
| 3 |
-
size
|
|
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:92d54b525101ae371ad27df6fb34bdebb025645f2c55f8ef6ae8a335357a520d
|
| 3 |
+
size 122684482
|
data/train-00004-of-00010.parquet
DELETED
|
@@ -1,3 +0,0 @@
|
|
| 1 |
-
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:1c596c3442c1382877273bb776124433bb12a961f8781739791e3ed670a3b847
|
| 3 |
-
size 315170195
|
|
|
|
|
|
|
|
|
|
|
|
data/train-00004-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:03eb3bab2edc2c5b0f26ef9638040e5100e9d1d8b8494712fef00a558e8239ba
|
| 3 |
+
size 122690978
|
data/train-00005-of-00010.parquet
DELETED
|
@@ -1,3 +0,0 @@
|
|
| 1 |
-
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:71145a1126e0394d3433e9f84cee45c80f1e8ba7a11e3c08ab410e065c8820e8
|
| 3 |
-
size 314926420
|
|
|
|
|
|
|
|
|
|
|
|
data/train-00005-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:f0637e598b65be2d0bd295c51de5b893997c79cdec0a3f3e5e2ede3508105525
|
| 3 |
+
size 123424334
|
data/train-00006-of-00010.parquet
DELETED
|
@@ -1,3 +0,0 @@
|
|
| 1 |
-
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:cbf326c5ff79a1a64bc170d0947195ccfe8b760b07485f0b67b983b6c961c331
|
| 3 |
-
size 314729568
|
|
|
|
|
|
|
|
|
|
|
|
data/train-00006-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:ca97efbfce513dcc6037c7e62aef6dbbe99a3b03f4265751c40f19048c0e0c99
|
| 3 |
+
size 122153589
|
data/train-00007-of-00010.parquet
DELETED
|
@@ -1,3 +0,0 @@
|
|
| 1 |
-
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:fd52e4ac0b072fcb6671fdb04db220a450317a4833575dce5e2a9465fe94d465
|
| 3 |
-
size 315729828
|
|
|
|
|
|
|
|
|
|
|
|
data/train-00007-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:3b2e02b5f4f353a640fc51b7f1c60ed9a66afad43fd8933d353bc739de1b99f1
|
| 3 |
+
size 123105792
|
data/train-00008-of-00010.parquet
DELETED
|
@@ -1,3 +0,0 @@
|
|
| 1 |
-
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:fe3caaa666dc959f2c2c2055f16075a613ce36b66431ac6db6e1f3add99903bb
|
| 3 |
-
size 314539826
|
|
|
|
|
|
|
|
|
|
|
|
data/train-00008-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:0f0d8a5b8555b738cdb37761609b4e5f1e1deafc8910a95d2dfd915939262655
|
| 3 |
+
size 122698802
|
data/train-00009-of-00010.parquet
DELETED
|
@@ -1,3 +0,0 @@
|
|
| 1 |
-
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:ef97663736e905e075381a621d491d968ac70a6c9b8bffa1a58adc85a91f7f9c
|
| 3 |
-
size 315409755
|
|
|
|
|
|
|
|
|
|
|
|
data/train-00009-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:f984dc3cb801f50d079588e9128481c004060485d1c637c02d2c6b530950007b
|
| 3 |
+
size 122890099
|
data/train-00010-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:dfbcd086dd6f3cf5cd703fddf9348bb99e0f47a3b6ab513922af1976865061d0
|
| 3 |
+
size 122828436
|
data/train-00011-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:f9422623a387564a825e70ab0fa91a0eba1290aaa416c50a1c889b52ade30eae
|
| 3 |
+
size 123780033
|
data/train-00012-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:4ee22b5097a2f7483c4cb38f90aa18ebd1c8d0e10625bb92fa8fb4a99be2c6ed
|
| 3 |
+
size 122633967
|
data/train-00013-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:d6d32f0ee2e6d10030b0f7140fbd59be3d4eec8781a16cc51d762dc9d889724a
|
| 3 |
+
size 123123855
|
data/train-00014-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:16af8d7e2035d7d488f7b4aeb3fc39cebf11691cbcf6127fb82d7275e55d55c3
|
| 3 |
+
size 122368205
|
data/train-00015-of-00016.parquet
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:87d5276eaf8882d866cd705f4a2f518b9731cdd6386bc4d6d511b871bce96995
|
| 3 |
+
size 122962184
|
data/validation-00000-of-00001.parquet
CHANGED
|
@@ -1,3 +1,3 @@
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
-
oid sha256:
|
| 3 |
-
size
|
|
|
|
| 1 |
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:c88e13c7b7e8c2764dbddbfcb1fc74ee58b3a93d7dd2c5c926ac2fec90d9f962
|
| 3 |
+
size 19678730
|