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\log(ab)=\log a+\log b
αž…αžΌαžšαžŸαž˜αŸ’αžšαž½αž›αž€αž“αŸ’αžŸαŸ„αž˜
\lim_{x\to\infty}\frac{1}{x}=0
\sigma=\sqrt{\frac1n\sum(x_i-\mu)^2}
αž‚αžŽαž“αžΆαž›αž‘αŸ’αž’αž•αž›αž…αž»αž„αž€αŸ’αžšαŸ„αž™
αžŸαžšαžŸαŸαžšαž‡αžΆαž‘αž˜αŸ’αžšαž„αŸ‹αžŸαŸ’αžαž„αŸ‹αžŠαžΆαžš
\sum_{i=1}^{n}i=\frac{n(n+1)}2
αžšαž€αž’αž“αž»αž‚αž˜αž“αŸαž€αŸ†αžŽαžΎαž“
αžšαž€αžŠαŸαžšαžΈαžœαŸαž“αŸƒαž’αž“αž»αž‚αž˜αž“αŸ
αžšαž€αž€αžΌαž’αžšαžŠαŸ„αž“αŸ
αž‚αžŽαž“αžΆαž’αž“αž»αž”αžΆαž
y=ax^2+bx+c
αž‚αžŽαž“αžΆαž”αžšαž·αž˜αžΆαžŽ
αž‚αžŽαž“αžΆαž›αžΈαž˜αžΈαžαž“αŸƒαž’αž“αž»αž‚αž˜αž“αŸαžαžΆαž„αž€αŸ’αžšαŸ„αž˜
αž…αžΌαžšαžŸαžšαžŸαŸαžšαž‡αžΆαž…αž˜αŸ’αž›αžΎαž™
\tan x=\frac{\sin x}{\cos x}
\tan x=\frac{\sin x}{\cos x}
\sin x
\cos x
\cos x
\pi r^2
αžšαž€αž…αŸ†αžŽαž»αž…αž€αžΆαžαŸ‹
αž…αžΌαžšαž”αŸ’αžšαŸ€αž”αž’αŸ€αž”
\frac{d}{dx}(\sin x)=\cos x
αžšαž€αž’αž“αž»αž‚αž˜αž“αŸαžŠαžΎαž˜
αžšαž€αž˜αž»αŸ†
V=\frac43\pi r^3
αž‚αžŽαž“αžΆαž”αžšαž·αžœαŸαžŽ
αž‚αžŽαž“αžΆαž—αžΆαž‚αžšαž™
αžŠαŸ„αŸ‡αžŸαŸ’αžšαžΆαž™αžŸαž˜αžΈαž€αžΆαžšαžαžΆαž„αž€αŸ’αžšαŸ„αž˜
αžšαž€αžŠαŸ‚αž“αž€αŸ†αžŽαžαŸ‹
αž‚αžŽαž“αžΆαž”αŸ’αžšαžœαŸ‚αž„
αžŸαžšαžŸαŸαžšαž‡αžΆαž‘αž˜αŸ’αžšαž„αŸ‹αž›αžΈαž“αŸαž’αŸŠαŸ‚αžš
\int \sin x\,dx=-\cos x+C
\left(\frac{x+y}{2}\right)^2
\alpha+\beta+\gamma=180^\circ
\lim_{x\to\infty}\frac{1}{x}=0
αžšαž€αž’αž„αŸ’αž€αžαŸ‹αž•αŸ’αž…αž·αž
\int_0^1 x^2dx=\frac13
\sqrt[n]{x}
αžšαž€αž’αž“αž»αž‚αž˜αž“αŸαž€αŸ†αžŽαžΎαž“
αž‚αžŽαž“αžΆαž€αžΆαŸ†
\lim_{x\to0}\frac{1-\cos x}{x^2}=\frac12
\lim_{x\to0}\frac{1-\cos x}{x^2}=\frac12
\overline{AB}
αž…αžΌαžšαž”αž„αŸ’αž αžΆαž‰αžαžΆ
\binom{n}{k}
\sin^2x+\cos^2x=1
f''(x)=6x
\log(ab)=\log a+\log b
αžŸαžšαžŸαŸαžšαž‡αžΆαž‘αž˜αŸ’αžšαž„αŸ‹αžŸαŸ’αžαž„αŸ‹αžŠαžΆαžš
αž‚αžŽαž“αžΆαž”αŸ’αžšαžœαŸ‚αž„
\pi r^2
y=ax^2+bx+c
αž‚αžŽαž“αžΆαž€αžΆαŸ†
αžšαž€αž’αž“αž»αž‚αž˜αž“αŸαž€αŸ†αžŽαžΎαž“
αžšαž€αž’αžαž·αž”αžšαž˜αžΆ
αžšαž€αž…αŸ†αž“αž½αž“αžŠαŸ†αžŽαŸ„αŸ‡αžŸαŸ’αžšαžΆαž™
\log(ab)=\log a+\log b
\lim_{x\to\infty}\frac{1}{x}=0
αž‚αžŽαž“αžΆαž’αž“αž»αž‚αž˜αž“αŸ
\prod_{i=1}^{n}i=n!
αžšαž€αž’αžαž·αž”αžšαž˜αžΆ
αž…αž˜αŸ’αž›αžΎαž™
\binom{n}{k}
αžšαž€αž’αž“αž»αž‚αž˜αž“αŸαž”αž‰αŸ’αž…αŸ’αžšαžΆαžŸ
αžŸαžšαžŸαŸαžšαž‡αžΆαž‘αž˜αŸ’αžšαž„αŸ‹αž›αžΈαž“αŸαž’αŸŠαŸ‚αžš
αžšαž€αž˜αž»αŸ†
αžŸαžšαžŸαŸαžšαž‡αžΆαž‘αž˜αŸ’αžšαž„αŸ‹αžŸαŸ’αžαž„αŸ‹αžŠαžΆαžš
\lim_{x\to0}\frac{1-\cos x}{x^2}=\frac12
αžšαž€αž˜αž»αŸ†
\lim_{x\to\infty}\frac{1}{x}=0
αž”αŸ†αž–αŸαž‰αž…αž“αŸ’αž›αŸ„αŸ‡αžαžΆαž„αž€αŸ’αžšαŸ„αž˜
y=ax^2+bx+c
\angle ABC=90^\circ
V=\frac43\pi r^3
αžŠαŸ„αŸ‡αžŸαŸ’αžšαžΆαž™αž”αŸ’αžšαž–αŸαž“αŸ’αž’αžŸαž˜αžΈαž€αžΆαžš
\sum_{i=1}^{n}i^2=\frac{n(n+1)(2n+1)}6
\sum_{i=1}^{n}i^2=\frac{n(n+1)(2n+1)}6
\bar{x}=\frac1n\sum x_i
αžšαž€αž€αžΌαž’αžšαžŠαŸ„αž“αŸ
αžŸαžšαžŸαŸαžšαž‡αžΆαž‘αž˜αŸ’αžšαž„αŸ‹αž›αžΈαž“αŸαž’αŸŠαŸ‚αžš
\prod_{i=1}^{n}i=n!
\frac{1}{1+x}
\lim_{x\to0}\frac{1-\cos x}{x^2}=\frac12
\sqrt[n]{x}
αžšαž€αžŠαŸαžšαžΈαžœαŸαž“αŸƒαž’αž“αž»αž‚αž˜αž“αŸ
αžšαž€αžαž˜αŸ’αž›αŸƒαž“αŸƒαž’αžαŸαžš
αžšαž€αžŠαŸ‚αž“αž€αŸ†αžŽαžαŸ‹
αž‚αžŽαž“αžΆαž›αžΈαž˜αžΈαžαž“αŸƒαž’αž“αž»αž‚αž˜αž“αŸαžαžΆαž„αž€αŸ’αžšαŸ„αž˜
αž›αŸ†αž αžΆαžαŸ‹αž‘αžΈ ៑
\vec{AB}
αžšαž€αž’αž“αž»αž‚αž˜αž“αŸαž€αŸ†αžŽαžΎαž“
αž…αžΌαžšαž‚αžŽαž“αžΆ
αž‚αžŽαž“αžΆαž›αž‘αŸ’αž’αž•αž›αž…αž»αž„αž€αŸ’αžšαŸ„αž™
αž‚αžŽαž“αžΆαž’αž“αž»αž‚αž˜αž“αŸ
x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
\alpha+\beta+\gamma=180^\circ
αž‚αžŽαž“αžΆαž”αžšαž·αžœαŸαžŽ
P(A)=\frac{n(A)}{n(S)}
End of preview. Expand in Data Studio

Khmer Math OCR Dataset

OCR dataset for Khmer text and LaTeX math expression recognition, generated from synthetic document images with YOLOv8 OBB detection.

Dataset Summary

Split Samples Khmer LaTeX
train 8,962 5,529 3,433
validation 1,537 1,498 39
Total 10,499 7,027 3,472

Features

Feature Type Description
image PIL Image Cropped text region from synthetic document
text string Ground truth text (Khmer or LaTeX source)

Classes

ID Name Description
0 khmer Khmer script text (books, newspapers, conversations)
1 expression LaTeX math formulas (integrals, matrices, equations)

Examples

Khmer:

  • αžšαž€αž’αžαž·αž”αžšαž˜αžΆ (Find the maximum)
  • αž‚αžŽαž“αžΆαž›αžΈαž˜αžΈαžαž“αŸƒαž’αž“αž»αž‚αž˜αž“αŸαžαžΆαž„αž€αŸ’αžšαŸ„αž˜ (Calculate the limit of the following function)
  • αžŸαžΌαž˜αž”αž„αŸ’αž αžΆαž‰αžœαž·αž’αžΈαž’αŸ’αžœαžΎ (Please show the working)

LaTeX:

  • x^2+2x+1
  • \frac{-b\pm\sqrt{b^2-4ac}}{2a}
  • \int_0^1 x^2dx=\frac13

Usage

from datasets import load_dataset

ds = load_dataset("krotreaksmey/khmer_math")

# View a sample
example = ds["train"][0]
print(example["text"])
example["image"]

Generation Pipeline

  1. Synthetic data generation β€” LuaLaTeX + Khmer fonts (KhmerOS) on random backgrounds
  2. YOLOv8 OBB training β€” 12,213 synthetic document pages, mAP50=0.995
  3. OCR dataset building β€” YOLO detects text regions β†’ crop β†’ match with ground truth labels via IoU
  4. Label quality β€” 98% actual text labels (IoU matching with threshold=0.3)

Image Stats

  • Width: 60–1046 px (avg ~380 px)
  • Height: 38–171 px (avg ~74 px)

Citation

@misc{khmer_math_ocr_2026,
  title={Khmer Math OCR Dataset},
  author={krotreaksmey},
  year={2026},
  url={https://huggingface.co/datasets/krotreaksmey/khmer_math}
}
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