亲爱的朋友你好,我想和你分享我在语言模型核心架构上的一些尝试,如果您有时间和兴趣可以品评一下,我是完全开源了代码和权重,相关设计的数学论文也都放在 github 上了,MIT 开源协议,大家请尽情发挥吧: https://github.com/makai891124-prog/H2Q-MicroStream
"Intelligence is not about memorizing history, but mastering the dynamics of the future."
"智能不是记忆过去的所有细节,而是掌握生成未来的核心方程。"
H2Q-MicroStream is a paradigm-shifting experiment in Physics-Informed AI. Unlike traditional Transformers that rely on massive parameters and infinite context windows, H2Q constructs a minimalist "Thinking Kernel" based on Hamiltonian Dynamics and Quaternion Algebra.
This project proves that with a strict Rank-8 constraint and Unicode-level streaming, a model can emerge with logical reasoning and grammatical capabilities within a mere 0.2GB VRAM footprint.
H2Q-MicroStream 是一个基于物理动力学的 AI 范式实验。不同于依赖堆砌参数和超长上下文的主流 Transformer ,H2Q 基于哈密顿动力学和四元数代数构建了一个极简的“思维内核”。本项目证明了在严格的 Rank-8 约束和 Unicode 流式读取下,智能可以在仅 0.2GB 显存 的微小空间内涌现。
Train[T] -> Valid[T+1] -> T becomes T+1.Tested on NVIDIA RTX 4070 Ti with TinyStories dataset.
2.88 to 1.02 (near Shannon Entropy limit for simple English).pip install -r requirements.txt
The script automatically downloads the TinyStories dataset and starts the "Rolling Horizon" training loop. 脚本会自动下载数据集并开启“轮动视界”训练循环。
python train.py
The terminal displays a real-time "ICU Dashboard": 终端将显示实时的“ICU 级仪表盘”:
Chunk 18 | Train: 1.0420 | Val: 1.0622 | Energy: 68.5 | Speed: 311ms
We are moving from "Statistical Correlation" to "Dynamical Causality". H2Q is not just a language model; it is a digital lifeform attempting to resonate with the mathematical structure of the universe.
我们正在从“统计相关性”迈向“动力学因果律”。 H2Q 不仅仅是一个语言模型,它是一个试图与宇宙数学结构发生共振的数字生命。
实验运行输出 log 日志:
🌊 H2Q-ICU Monitor Online: NVIDIA GeForce RTX 4070 Ti SUPER [Mode: Deep Analysis] [Metrics: Grad/VRAM/TPS/Diff] 🔄 恢复存档: h2q_rolling.pt 🔖 [时间之轮] 回溯至偏移量: 40.03 MB ⏳ [Init] 加载初始时间块 (Chunk T)... 🚀 启动深度监控 (Deep Monitor Active)...
================================================== 🧩 CHUNK 0: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 2.8875 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.9180 | Grad: 3.02 | Energy: 115.3 | Speed: 390ms (7869 tok/s) | VRAM: 0.20/0.55GBB ✅ Chunk 1 完成 Summary: Train: 2.3207 | Val: 2.8875 | Diff: +0.5668 Time: 1204.7s | Progress: 60.0 MB
================================================== 🧩 CHUNK 1: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.8169 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.3695 | Grad: 2.17 | Energy: 112.0 | Speed: 338ms (9086 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 2 完成 Summary: Train: 1.5694 | Val: 1.8169 | Diff: +0.2475 Time: 1302.9s | Progress: 70.1 MB
================================================== 🧩 CHUNK 2: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.3515 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.2141 | Grad: 2.20 | Energy: 105.2 | Speed: 346ms (8874 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 3 完成 Summary: Train: 1.3323 | Val: 1.3515 | Diff: +0.0193 Time: 1239.8s | Progress: 80.1 MB
================================================== 🧩 CHUNK 3: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.2644 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.2741 | Grad: 2.19 | Energy: 99.1 | Speed: 358ms (8583 tok/s) | VRAM: 0.20/0.63GBBB ✅ Chunk 4 完成 Summary: Train: 1.2556 | Val: 1.2644 | Diff: +0.0088 Time: 1250.4s | Progress: 90.1 MB
================================================== 🧩 CHUNK 4: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.2053 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.2333 | Grad: 1.77 | Energy: 95.5 | Speed: 341ms (9008 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 5 完成 Summary: Train: 1.2144 | Val: 1.2053 | Diff: -0.0090 Time: 1249.6s | Progress: 100.1 MB
📜 [Thought Stream]: They wanted to go you cose friends with a llock. He saw a balought in the grasss and laughes. He was so readys yare and granded drank he fout; " Humhe, they face and ploud need a cup tiny the close. He
================================================== 🧩 CHUNK 5: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.1915 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.1432 | Grad: 1.79 | Energy: 91.4 | Speed: 304ms (10093 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 6 完成 Summary: Train: 1.1855 | Val: 1.1915 | Diff: +0.0060 Time: 1174.4s | Progress: 110.1 MB
================================================== 🧩 CHUNK 6: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.1717 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.1493 | Grad: 1.60 | Energy: 88.7 | Speed: 296ms (10369 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 7 完成 Summary: Train: 1.1684 | Val: 1.1717 | Diff: +0.0033 Time: 1073.7s | Progress: 120.1 MB
================================================== 🧩 CHUNK 7: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.1229 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.1711 | Grad: 1.60 | Energy: 85.5 | Speed: 340ms (9034 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 8 完成 Summary: Train: 1.1506 | Val: 1.1229 | Diff: -0.0277 Time: 1185.8s | Progress: 130.1 MB
================================================== 🧩 CHUNK 8: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.1225 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0388 | Grad: 1.38 | Energy: 83.7 | Speed: 300ms (10224 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 9 完成 Summary: Train: 1.1211 | Val: 1.1225 | Diff: +0.0014 Time: 1243.5s | Progress: 140.1 MB
================================================== 🧩 CHUNK 9: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.1044 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0964 | Grad: 1.55 | Energy: 80.7 | Speed: 360ms (8526 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 10 完成 Summary: Train: 1.1198 | Val: 1.1044 | Diff: -0.0154 Time: 1215.0s | Progress: 150.1 MB
📜 [Thought Stream]: They would said, "Maybe she left," she said nexck, but I'm a great stuffles in the rabbit revere." Lily smiled and said, "Ben, what no Tom. Daddy you love the askaching it was in the dog." He tried and
================================================== 🧩 CHUNK 10: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.1136 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.2135 | Grad: 1.71 | Energy: 78.5 | Speed: 291ms (10551 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 11 完成 Summary: Train: 1.0946 | Val: 1.1136 | Diff: +0.0191 Time: 1068.9s | Progress: 160.1 MB
================================================== 🧩 CHUNK 11: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.1007 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 0.9831 | Grad: 1.46 | Energy: 77.2 | Speed: 295ms (10406 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 12 完成 Summary: Train: 1.0872 | Val: 1.1007 | Diff: +0.0134 Time: 1068.3s | Progress: 170.1 MB
================================================== 🧩 CHUNK 12: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0937 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0408 | Grad: 1.31 | Energy: 74.9 | Speed: 288ms (10683 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 13 完成 Summary: Train: 1.0780 | Val: 1.0937 | Diff: +0.0157 Time: 1064.5s | Progress: 180.1 MB
================================================== 🧩 CHUNK 13: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0870 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.1016 | Grad: 1.27 | Energy: 73.5 | Speed: 290ms (10584 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 14 完成 Summary: Train: 1.0654 | Val: 1.0870 | Diff: +0.0217 Time: 1067.4s | Progress: 190.1 MB
================================================== 🧩 CHUNK 14: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0713 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0594 | Grad: 1.38 | Energy: 72.1 | Speed: 333ms (9230 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 15 完成 Summary: Train: 1.0623 | Val: 1.0713 | Diff: +0.0090 Time: 1070.1s | Progress: 200.1 MB
📜 [Thought Stream]: Tom. He asked them home in the both again. He said, "Lily, sad. He is not owl. But Let's so friend. He opened hard away. Lucy like the garden." And. She tears the pond. She said, "Bob wand. Can I see s
================================================== 🧩 CHUNK 15: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0672 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0424 | Grad: 1.28 | Energy: 71.2 | Speed: 307ms (9996 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 16 完成 Summary: Train: 1.0598 | Val: 1.0672 | Diff: +0.0074 Time: 1073.1s | Progress: 210.2 MB
================================================== 🧩 CHUNK 16: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0496 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.1581 | Grad: 1.46 | Energy: 69.9 | Speed: 315ms (9761 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 17 完成 Summary: Train: 1.0503 | Val: 1.0496 | Diff: -0.0006 Time: 1060.1s | Progress: 220.2 MB
================================================== 🧩 CHUNK 17: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0532 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0179 | Grad: 1.15 | Energy: 69.4 | Speed: 297ms (10333 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 18 完成 Summary: Train: 1.0482 | Val: 1.0532 | Diff: +0.0050 Time: 1062.2s | Progress: 230.2 MB
================================================== 🧩 CHUNK 18: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0622 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0628 | Grad: 1.52 | Energy: 68.5 | Speed: 311ms (9882 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 19 完成 Summary: Train: 1.0420 | Val: 1.0622 | Diff: +0.0201 Time: 1146.4s | Progress: 240.2 MB
================================================== 🧩 CHUNK 19: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0502 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0129 | Grad: 1.37 | Energy: 67.5 | Speed: 366ms (8398 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 20 完成 Summary: Train: 1.0429 | Val: 1.0502 | Diff: +0.0073 Time: 1250.6s | Progress: 250.2 MB
📜 [Thought Stream]: They had played over to splash! They got out of the jar. Tom they are really chuncog the dealichy practiced that she shock his family, he's parint the feel better. The eld barked jam. It was best addde
================================================== 🧩 CHUNK 20: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0205 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0068 | Grad: 1.25 | Energy: 66.9 | Speed: 315ms (9742 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 21 完成 Summary: Train: 1.0410 | Val: 1.0205 | Diff: -0.0205 Time: 1156.5s | Progress: 260.2 MB
================================================== 🧩 CHUNK 21: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0432 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0367 | Grad: 1.34 | Energy: 66.3 | Speed: 302ms (10169 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 22 完成 Summary: Train: 1.0162 | Val: 1.0432 | Diff: +0.0271 Time: 1085.4s | Progress: 270.2 MB
================================================== 🧩 CHUNK 22: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0492 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0145 | Grad: 1.23 | Energy: 65.9 | Speed: 308ms (9980 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 23 完成 Summary: Train: 1.0231 | Val: 1.0492 | Diff: +0.0261 Time: 1083.4s | Progress: 280.2 MB
================================================== 🧩 CHUNK 23: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0461 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0424 | Grad: 1.18 | Energy: 65.8 | Speed: 281ms (10950 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 24 完成 Summary: Train: 1.0305 | Val: 1.0461 | Diff: +0.0156 Time: 1076.0s | Progress: 290.2 MB
================================================== 🧩 CHUNK 24: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0276 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0404 | Grad: 1.41 | Energy: 65.5 | Speed: 285ms (10782 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 25 完成 Summary: Train: 1.0196 | Val: 1.0276 | Diff: +0.0080 Time: 1084.2s | Progress: 300.2 MB
📜 [Thought Stream]: Timmy said, "Thank you, Mommy. I can have from calling the drees and yummy with your tail. The sound asked it if you - and a pretty slide to go for Sweepbarklesss. The End. And the floor walk in the la
================================================== 🧩 CHUNK 25: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0285 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0073 | Grad: 1.11 | Energy: 65.6 | Speed: 301ms (10211 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 26 完成 Summary: Train: 1.0210 | Val: 1.0285 | Diff: +0.0075 Time: 1081.0s | Progress: 310.2 MB
================================================== 🧩 CHUNK 26: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0177 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 0.9883 | Grad: 1.22 | Energy: 65.3 | Speed: 289ms (10630 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 27 完成 Summary: Train: 1.0106 | Val: 1.0177 | Diff: +0.0071 Time: 1083.9s | Progress: 320.2 MB
================================================== 🧩 CHUNK 27: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0301 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0079 | Grad: 1.26 | Energy: 64.9 | Speed: 292ms (10524 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 28 完成 Summary: Train: 1.0047 | Val: 1.0301 | Diff: +0.0253 Time: 1065.2s | Progress: 330.2 MB
================================================== 🧩 CHUNK 28: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0089 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0275 | Grad: 1.13 | Energy: 64.9 | Speed: 299ms (10282 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 29 完成 Summary: Train: 1.0040 | Val: 1.0089 | Diff: +0.0050 Time: 1062.5s | Progress: 340.3 MB
================================================== 🧩 CHUNK 29: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0184 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 0.9607 | Grad: 1.14 | Energy: 65.1 | Speed: 283ms (10853 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 30 完成 Summary: Train: 1.0044 | Val: 1.0184 | Diff: +0.0141 Time: 1056.7s | Progress: 350.3 MB
📜 [Thought Stream]: The noises started to play. They played together in their train. They are angry." The sad. Lily was a snacks and lady quite. Sally lay and weere trucks to the party. She was full and her
================================================== 🧩 CHUNK 30: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0197 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0088 | Grad: 1.26 | Energy: 65.2 | Speed: 406ms (7571 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 31 完成 Summary: Train: 1.0067 | Val: 1.0197 | Diff: +0.0130 Time: 1131.7s | Progress: 360.3 MB
================================================== 🧩 CHUNK 31: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0087 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 1.0477 | Grad: 1.30 | Energy: 64.4 | Speed: 340ms (9042 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 32 完成 Summary: Train: 1.0087 | Val: 1.0087 | Diff: -0.0000 Time: 1275.6s | Progress: 370.3 MB
================================================== 🧩 CHUNK 32: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0132 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 0.9910 | Grad: 1.18 | Energy: 65.6 | Speed: 306ms (10028 tok/s) | VRAM: 0.20/0.63GB ✅ Chunk 33 完成 Summary: Train: 0.9932 | Val: 1.0132 | Diff: +0.0199 Time: 1123.6s | Progress: 380.3 MB
================================================== 🧩 CHUNK 33: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 0.9951 🔥 训练当下 (Training)... ⚡ Step 3400/3413 | Loss: 0.9904 | Grad: 1.28 | Energy: 65.1 | Speed: 347ms (8850 tok/s) | VRAM: 0.20/0.63GBB ✅ Chunk 34 完成 Summary: Train: 1.0011 | Val: 0.9951 | Diff: -0.0060 Time: 1186.7s | Progress: 390.3 MB
================================================== 🧩 CHUNK 34: 开始加载未来数据... 🔮 验证未来 (Validation)... 📊 验证结果: Val Loss = 1.0117 🔥 训练当下 (Training)... ⚡ Step 2650/3413 | Loss: 1.0171 | Grad: 1.14 | Energy: 64.4 | Speed: 302ms (10174 tok/s) | VRAM: 0.20/0.63GB
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