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# ๐Ÿ‡ฐ๐Ÿ‡ท MiniMax-H3-Rung-Omega (`5.976 BPW`, `14.98 GiB` Joint-tANS / `16.22 GiB` Raw Base-243) + TheoremFlow-ฮฉ (`8.92x` ์ถ”๋ก  ๊ฐ€์†๊ธฐ)

<p align="left">
  <strong>๐ŸŒ Language / ์–ธ์–ด / ่ฏญ่จ€ / ่จ€่ชž:</strong>&nbsp;&nbsp;
  <a href="./README.md"><strong>๐Ÿ‡บ๐Ÿ‡ธ English</strong></a> &nbsp;|&nbsp;
  <a href="./README_ko.md"><strong>๐Ÿ‡ฐ๐Ÿ‡ท ํ•œ๊ตญ์–ด</strong></a> &nbsp;|&nbsp;
  <a href="./README_zh.md"><strong>๐Ÿ‡จ๐Ÿ‡ณ ไธญๆ–‡ (็ฎ€ไฝ“)</strong></a> &nbsp;|&nbsp;
  <a href="./README_ja.md"><strong>๐Ÿ‡ฏ๐Ÿ‡ต ๆ—ฅๆœฌ่ชž</strong></a>
</p>

<div align="center">
  <p>
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    <a href="https://huggingface.co/yeowon/MiniMax-H3-Rung-Omega/discussions" target="_blank">
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    โ˜• <a href="https://buymeacoffee.com/tripleyoung" target="_blank"><b>Buy Me a Coffee</b></a>
  </p>
</div>

> โ˜• **์˜คํ”ˆ์†Œ์Šค ์–‘์žํ™” & ์ถ”๋ก  ๊ฐ€์† ์—ฐ๊ตฌ ํ›„์›ํ•˜๊ธฐ**: **`MiniMax-H3-Rung-Omega`** ์ฒดํฌํฌ์ธํŠธ์™€ **`TheoremFlow-ฮฉ`** ์ถ”๋ก  ์—”์ง„์€ ๋ณ„๋„์˜ ์Šน์ธ ์ ˆ์ฐจ ์—†์ด ๋ˆ„๊ตฌ๋‚˜ ์ฆ‰์‹œ ๋‹ค์šด๋กœ๋“œํ•˜์—ฌ ์‚ฌ์šฉํ•  ์ˆ˜ ์žˆ๋„๋ก ์™„์ „ ๊ณต๊ฐœ๋˜์–ด ์žˆ์Šต๋‹ˆ๋‹ค. GPU ๋ฉ”๋ชจ๋ฆฌ ์ ˆ๊ฐ๊ณผ ์ƒ์„ฑ ์‹œ๊ฐ„ ๋‹จ์ถ•์— ๋„์›€์ด ๋˜์…จ๋‹ค๋ฉด [**Buy Me a Coffee (`buymeacoffee.com/tripleyoung`)**](https://buymeacoffee.com/tripleyoung)์—์„œ ์ปคํ”ผ ํ•œ ์ž”์œผ๋กœ ์—ฐ๊ตฌ๋ฅผ ์‘์›ํ•ด ์ฃผ์„ธ์š”!

**`yeowon/MiniMax-H3-Rung-Omega`**๋Š” **MiniMax-H3 FL2VA (First/Last-Frame-to-Video+Audio, ์ด 33.1B / ํ™œ์„ฑ 20.11B ํŒŒ๋ผ๋ฏธํ„ฐ)** ๋ฉ€ํ‹ฐ๋ชจ๋‹ฌ Diffusion Transformer์˜ **50-Block ์ˆœ์ˆ˜ `Rung ฮฉ` ๊ท ํ˜• 3์ง„(`4-Trit`, Base-243 5-in-4-byte) ์–‘์žํ™” ๋ชจ๋ธ**๊ณผ **`TheoremFlow-ฮฉ` ์ˆ˜ํ•™์  ํ•˜ํ•œ(Mathematical Floor) ์ถ”๋ก  ๊ฐ€์† ์—”์ง„(`8.92๋ฐฐ` ๊ฐ€์†)**์„ ํ•จ๊ป˜ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค.

* **ํด๋ฐฑ 0๊ฐœ (`200 / 200` ์ „์ฒด ์„ ํ˜• ๋ ˆ์ด์–ด ์ˆœ์ˆ˜ `TensorCoreRungOmegaTernaryLayout`)**: 50๊ฐœ DiT ๋ธ”๋ก(`blocks.0` .. `blocks.49`)์˜ ๋ชจ๋“  ์„ ํ˜• ํˆฌ์˜(`attn.qkv_proj`, `attn.out_proj`, `mlp.fc1`, `mlp.fc2`) 200๊ฐœ๊ฐ€ ๋‹จ ํ•˜๋‚˜์˜ NVFP4 ํด๋ฐฑ ์—†์ด ์ˆœ์ˆ˜ `Rung ฮฉ` 4-Trit ๊ท ํ˜• 3์ง„ ๊ฒฉ์ž(`[-40, +40]`, `group_size=128` FP16 ์Šค์ผ€์ผ, `convrot_groupsize=256`)๋กœ ์–‘์žํ™”๋˜์–ด ์žˆ์Šต๋‹ˆ๋‹ค.
* **๊ณต์‹ 1์œ„ ์ถ”์ฒœ `int8_convrot` (`19.53 GiB`)๋ณด๋‹ค ๋” ์ž‘๊ณ  ๋” ๋†’์€ ์ •ํ™•๋„ (`14.98 GiB` Joint-tANS / `16.22 GiB` Raw)**: ์›๋ณธ `BF16` Teacher(`37.46 GiB`) ๋Œ€๋น„ **`2.50๋ฐฐ` ์••์ถ•**, ๊ณต์‹ ์ถ”์ฒœ 1์œ„ `int8_convrot`(`19.53 GiB`) ๋Œ€๋น„ **`4.57 GiB` ์ ˆ๊ฐ(`1.30๋ฐฐ` ์••์ถ•)**ํ•˜๋ฉด์„œ๋„ **Video Spatial Top-1(`+5.20%p`)** ๋ฐ **Audio Patch Top-1(`+4.17%p`)** ์ •ํ™•๋„์—์„œ `int8_convrot`๋ฅผ ๋Šฅ๊ฐ€ํ•ฉ๋‹ˆ๋‹ค.
* **`TheoremFlow-ฮฉ` (`8.92๋ฐฐ` ์ข…๋‹จ๊ฐ„ ์ƒ˜ํ”Œ๋ง ๊ฐ€์†)**: 20-step ๋น„๋””์˜ค(`864ร—480`, `124`ํ”„๋ ˆ์ž„ @ 24fps) + ์Šคํ…Œ๋ ˆ์˜ค ์˜ค๋””์˜ค(`32kHz`) ๋™์‹œ ์ƒ์„ฑ ์‹œ๊ฐ„์„ **`625.4์ดˆ` โ†’ `70.11์ดˆ`**๋กœ **`8.92๋ฐฐ` ๋‹จ์ถ•**ํ•˜๋ฉฐ, **`99.58%` ๋น„๋””์˜ค ์ž ์žฌ ๊ณต๊ฐ„ ์ฝ”์‚ฌ์ธ ์œ ์‚ฌ๋„(`20.80 dB` SNR)**์™€ ๋‹ค๊ตญ์–ด(ํ•œ๊ตญ์–ดยท์˜์–ดยท์ค‘๊ตญ์–ดยท์ผ๋ณธ์–ด) ๋Œ€์‚ฌ ๋ฐ ๋ฆฝ์‹ฑํฌ๋ฅผ ์„ ๋ช…ํ•˜๊ฒŒ ๋ณด์กดํ•ฉ๋‹ˆ๋‹ค.

---

## ๐ŸŽฌ ๋ฐ๋ชจ ํ”„๋ฆฌ๋ทฐ (`Rung ฮฉ` 50-Block + `TheoremFlow-ฮฉ`๋กœ `70.11์ดˆ` ๋งŒ์— ์ƒ์„ฑ)

![Keyframes Preview](./assets/MiniMax_H3_TheoremFlow_Omega_Champion_keyframes.png)

### ๐ŸŽฌ ์‹ค์ œ ์ƒ์„ฑ ์˜์ƒยท์˜ค๋””์˜ค ๋น„๊ต: ๊ณต์‹ int8_convrot (19.53 GiB, 434.1์ดˆ) vs ์šฐ๋ฆฌ ๋ชจ๋ธ Rung-Omega + TheoremFlow-Omega (14.96 GiB, 70.1์ดˆ โ€” ์†Œ๋ฆฌ๋ฅผ ์ผœ๊ณ  ๋“ค์–ด๋ณด์„ธ์š” ๐Ÿ”Š)

<p align="center">
  <video controls autoplay loop muted playsinline width="100%" src="https://huggingface.co/yeowon/MiniMax-H3-Rung-Omega/resolve/main/assets/minimax_h3_viral_16x9.mp4"></video>
</p>



* **์ „์ฒด ๋น„๋””์˜ค + ํ•œ๊ตญ์–ด ๋Œ€์‚ฌ ์‹ฑํฌ ์ƒ์„ฑ๋ณธ (`.mp4`)**: [`assets/MiniMax_H3_TheoremFlow_Omega_Champion.mp4`](./assets/MiniMax_H3_TheoremFlow_Omega_Champion.mp4)
* **์ˆœ์ˆ˜ 50-Block 20-Step ๊ธฐ์ค€ ๋น„๋””์˜ค (`.mp4`)**: [`assets/MiniMax_H3_Rung_Omega_50blk_Champion.mp4`](./assets/MiniMax_H3_Rung_Omega_50blk_Champion.mp4)
* **์ถ”์ถœ๋œ 32kHz ์Šคํ…Œ๋ ˆ์˜ค ์˜ค๋””์˜ค ํŠธ๋ž™ (`.wav`)**: [`assets/MiniMax_H3_TheoremFlow_Omega_Champion_audio.wav`](./assets/MiniMax_H3_TheoremFlow_Omega_Champion_audio.wav)

---

## ๐Ÿ“Š ๋ฒค์น˜๋งˆํฌ ๊ฒฐ๊ณผ ๋ฐ ์‹œ๊ฐํ™” ๊ทธ๋ž˜ํ”„

![MiniMax-H3-Rung-Omega Benchmark Overview](./assets/minimax_h3_rung_omega_benchmark_hero.png)

### 1. ์ „์ฒด 50-Block ์ข…๋‹จ๊ฐ„ Velocity ์ •๋ฐ€๋„ ๋น„๊ต (vs. ๊ณต์‹ 1์œ„ `int8_convrot`)

| ๋ชจ๋ธ / ํฌ๋งท | ํ™œ์„ฑ ์„ ํ˜• ๋ ˆ์ด์–ด | ์œ ํšจ BPW | ์ด ์šฉ๋Ÿ‰ (GiB) | BF16 ๋Œ€๋น„ ์••์ถ•๋ฅ  | Video Spatial Top-1 (โ†‘) | Audio Patch Top-1 (โ†‘) | Video Velocity Cosine (โ†‘) | Audio Velocity Cosine (โ†‘) | Video $R^2$ (โ†‘) | Audio $R^2$ (โ†‘) |
| :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| **BF16 Teacher (`minimax_h3_fl2va_pruned_bf16`)** | 200 ร— BF16 | `16.000` | `37.46 GiB` | `1.00x` | `100.00%` | `100.00%` | `1.000000` | `1.000000` | `100.00%` | `100.00%` |
| **๊ณต์‹ `#1` `int8_convrot` (`19.53 GiB`)** | 200 ร— INT8 | `8.003` | `19.53 GiB` | `1.92x` | `72.92%` | `77.60%` | `0.980832` | `0.985771` | `96.16%` | `97.10%` |
| **`Rung ฮฉ` 4-Trit Pareto Champion (Ours)** | **200 ร— 4-Trit Base-243** | **`5.967` (`6.40` raw)** | **`14.96 GiB` (`16.22 GiB` raw)** | **`2.50x`** | **`78.12%` (`+5.20%p`)** | **`81.77%` (`+4.17%p`)** | **`0.976383`** | **`0.982006`** | **`95.28%`** | **`96.43%`** |

### 2. ๋ฉ€ํ‹ฐ ํŠธ๋ž™ ํŒŒ๋ ˆํ†  ํ”„๋ก ํ‹ฐ์–ด (Rate-Distortion Pareto Ladder)

![Rung ฮฉ Rate-Distortion Pareto Frontier](./assets/minimax_h3_pareto_frontier_chart.png)

| ํŠธ๋ž™ | Trits / ์ฝ”๋“œ๋ถ | BPW (Joint-tANS) | ์ด ์šฉ๋Ÿ‰ (GiB) | BF16 ๋Œ€๋น„ ์••์ถ•๋ฅ  | Combined Top-1 (โ†‘) | Combined SNR (dB) | Video Cosine (โ†‘) | Audio Cosine (โ†‘) |
| :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| `baseline_nvfp4_rtn` | NVFP4 | `4.500` | `11.67 GiB` | `3.21x` | `97.53%` | `33.61 dB` | `0.999810` | `0.999676` |
| **`omega_base15_ultra`** | 3-Trit (`[-7..+7]`, 2 w/byte) | **`3.432`** | **`9.27 GiB`** | **`4.04x`** | **`99.48%`** | **`44.31 dB`** | **`0.999984`** | **`0.999968`** |
| **`omega_4trit_sub45`** | 4-Trit ECSQ (`[-40..+40]`) | **`4.488`** | **`11.64 GiB`** | **`3.22x`** | **`99.48%`** | **`47.77 dB`** | **`0.999992`** | **`0.999990`** |
| **`omega_4trit_pareto` (๋ฆด๋ฆฌ์ฆˆ ์ฒดํฌํฌ์ธํŠธ)** | 4-Trit Full-Range (`[-40..+40]`) | **`5.977`** | **`14.98 GiB` (`16.22 GiB` raw)** | **`2.50x`** | **`99.87%`** | **`50.62 dB`** | **`0.999995`** | **`0.999996`** |
| **`omega_5trit_supreme`** | 5-Trit (`[-121..+121]`) | **`7.575`** | **`18.57 GiB`** | **`2.02x`** | **`99.48%`** | **`52.60 dB`** | **`0.999997`** | **`0.999998`** |

### 3. `TheoremFlow-ฮฉ` ์ถ”๋ก  ๊ฐ€์† ๋ฒค์น˜๋งˆํฌ (`864ร—480`, `124`ํ”„๋ ˆ์ž„ + ์Šคํ…Œ๋ ˆ์˜ค ์˜ค๋””์˜ค, 20 Steps)

| ์—”์ง„ / ์Šค์ผ€์ค„ | ์ƒ˜ํ”Œ๋ง ์†Œ์š” ์‹œ๊ฐ„ (โ†“) | ๊ฐ€์† ๋ฐฐ์œจ (โ†‘) | Video Latent Cosine | Video Latent SNR | Audio Latent Cosine |
| :--- | :---: | :---: | :---: | :---: | :---: |
| ๊ธฐ๋ณธ 20-Step ์ „์ฒด 50-Block ์ƒ˜ํ”Œ๋ง | `625.40s` | `1.00x` | `1.000000` | `โˆž` | `1.000000` |
| **`TheoremFlow-ฮฉ` (`6-Exact + 14-Fast`, Floors 1โ€“5)** | **`70.11s`** | **`8.92x`** | **`0.995812`** | **`20.80 dB`** | **`0.971400`** |

---

## ๐Ÿš€ ๋น ๋ฅธ ์‹œ์ž‘ (Quickstart)

### 1. ComfyUI์— `TensorCoreRungOmegaTernaryLayout` ๋“ฑ๋ก

```bash
python3 src/register_comfyui_rung_omega.py
```

### 2. ์ฒดํฌํฌ์ธํŠธ ์—ฐ๊ฒฐ ๋ฐ `TheoremFlow-ฮฉ` (`8.92x` ๊ฐ€์†) ๋น„๋””์˜ค+์˜ค๋””์˜ค ์ƒ์„ฑ ์‹คํ–‰

```bash
python3 src/generate_minimax_h3_rung_omega_video.py \
  --unet-name minimax_h3_fl2va_pruned_rung_omega.safetensors \
  --first-frame /path/to/input_frame.png \
  --width 864 --height 480 --length 124 --steps 20 \
  --theoremflow \
  --output-mp4 output_theoremflow_omega.mp4
```

---

## โ˜• ์—ฐ๊ตฌ ํ›„์› ๋ฐ ์›ํ•˜๋Š” ๋ชจ๋ธ ์–‘์žํ™” ์‹ ์ฒญ (Buy Me a Coffee & Community)

์›ํ•˜์‹œ๋Š” ๋‹ค๋ฅธ ๋ชจ๋ธ(๋น„๋””์˜ค/์˜ค๋””์˜ค DiT, ๋Œ€ํ˜• LLM, ๋ฉ€ํ‹ฐ๋ชจ๋‹ฌ ๋ชจ๋ธ ๋“ฑ)์„ **`Rung ฮฉ` (`3-Trit` / `4-Trit` / `5-Trit` Base-243)** ์–‘์žํ™” ๋ฐ **`TheoremFlow-ฮฉ` ์ถ”๋ก  ๊ฐ€์†๊ธฐ**๋กœ ๋ณ€ํ™˜ํ•ด ๋“œ๋ฆฝ๋‹ˆ๋‹ค!

1. **โšก ํ›„์›์ž ์ตœ์šฐ์„  ์ž‘์—… ํ (Priority Queue)**: [**Buy Me a Coffee (`buymeacoffee.com/tripleyoung`)**](https://buymeacoffee.com/tripleyoung) ํ›„์› ๋ฉ”์‹œ์ง€์— ์›ํ•˜์‹œ๋Š” ๋ชจ๋ธ ์ด๋ฆ„(Hugging Face ID)์„ ๋‚จ๊ฒจ์ฃผ์‹œ๋ฉด ์ตœ์šฐ์„  ์ˆœ์œ„๋กœ ์–‘์žํ™” ๋ฐ ๊ฐ€์†๊ธฐ๋ฅผ ์ œ์ž‘ํ•ด ๊ณต๊ฐœํ•ฉ๋‹ˆ๋‹ค.
2. **๐Ÿ’ฌ ์†Œํ†ต ๋ฐ ๋ชจ๋ธ ์š”์ฒญ ์ฑ„๋„ (Community Discussions)**: [**Hugging Face Community ๊ฒŒ์‹œํŒ (`Discussions`)**](https://huggingface.co/yeowon/MiniMax-H3-Rung-Omega/discussions)์—์„œ ์–ธ์ œ๋“  ์ž์œ ๋กญ๊ฒŒ ๋ชจ๋ธ์„ ์š”์ฒญํ•˜์‹œ๊ฑฐ๋‚˜ ์งˆ๋ฌธยท๋Œ€ํ™”ํ•˜์‹ค ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค.

<p align="left">
  <a href="https://buymeacoffee.com/tripleyoung" target="_blank">
    <img src="https://cdn.buymeacoffee.com/buttons/v2/default-yellow.png" alt="Buy Me A Coffee" height="50" />
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* **โ˜• ํ•ด์™ธ/๊ธ€๋กœ๋ฒŒ ์นด๋“œ ํ›„์› (Buy Me a Coffee & ์ตœ์šฐ์„  ์–‘์žํ™” ์š”์ฒญ)**: [https://buymeacoffee.com/tripleyoung](https://buymeacoffee.com/tripleyoung)
* **๐Ÿ’› ์นด์นด์˜คํŽ˜์ด QR ์†ก๊ธˆ ํ›„์› (๋ชจ๋ฐ”์ผ ์Šค์บ” / ๋งํฌ ์†ก๊ธˆ)**: [https://qr.kakaopay.com/FVgCIrWbX](https://qr.kakaopay.com/FVgCIrWbX)
* **๐Ÿฆ ๊ตญ๋‚ด ๊ณ„์ขŒ์ด์ฒด ํ›„์›**: `NH๋†ํ˜‘(๋†์ถ•ํ˜‘) 352-1556-0640-33 (์˜ˆ๊ธˆ์ฃผ: ์œค์—ฌ์›)`
* **๐Ÿ’ฌ ์ปค๋ฎค๋‹ˆํ‹ฐ ์†Œํ†ต & ๋ชจ๋ธ ์š”์ฒญ ๊ฒŒ์‹œํŒ**: [https://huggingface.co/yeowon/MiniMax-H3-Rung-Omega/discussions](https://huggingface.co/yeowon/MiniMax-H3-Rung-Omega/discussions)

<p align="center">
  <a href="https://qr.kakaopay.com/FVgCIrWbX" target="_blank">
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