Upload mathstral-nano-sat
Browse files- README.md +88 -0
- config.json +16 -0
- model.safetensors +3 -0
- modeling_mathstral_nano.py +124 -0
- training_metadata.json +86 -0
- upload_to_hub.py +30 -0
README.md
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---
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language: en
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license: apache-2.0
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tags:
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- math
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- sat
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- education
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- numpy
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- causal-lm
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- tiny-model
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datasets: []
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---
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# mathstral-nano-sat
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A tiny GPT-style causal language model (236,928 parameters) trained on SAT-level
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math problems. Built entirely in NumPy with no PyTorch dependency. Demonstrates
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the full fine-tuning pipeline: tokenization, causal attention, AdamW, and
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cross-entropy loss on a byte-level vocabulary.
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## Model Details
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| Property | Value |
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|---|---|
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| Architecture | 4-layer causal transformer |
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| Attention heads | 8 |
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| Hidden dim | 64 |
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| FFN dim | 256 |
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| Vocabulary | 256 (byte-level, UTF-8) |
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| Max seq length | 64 |
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| Total parameters | 236,928 |
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| Framework | Pure NumPy + SciPy |
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## Training
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| Property | Value |
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|---|---|
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| Dataset | 20 SAT math Q&A examples |
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| Epochs | 3 |
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| Steps | 300 |
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| Batch size | 8 |
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| Learning rate | 0.0003 (AdamW) |
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| Baseline loss | 5.5158 |
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| Final loss | 2.224 |
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| Loss reduction | **59.7%** |
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## Install
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```bash
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pip install safetensors scipy numpy
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```
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## Usage
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```python
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from modeling_mathstral_nano import MathstralNano
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model = MathstralNano.from_pretrained(".")
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print(model)
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# MathstralNano(4L 8H 64d params=236,928)
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# Raw generation
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response = model.generate("Problem: If 2x + 5 = 13, find x. Solution:")
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print(response)
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# Convenience wrapper (formats the prompt automatically)
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response = model.solve("If 3x + 7 = 22, find x.")
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print(response)
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```
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## Limitations
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This is a proof-of-concept model. At 236,928 parameters trained on 20 examples,
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it learns structural byte patterns in math text but does not produce coherent
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mathematical reasoning. It is intended as a pipeline validation tool, not a
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production math solver.
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For a capable math model, see the full fine-tuning notebook which applies the
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same pipeline to `mistralai/Mathstral-7B-v0.1` with QLoRA on 50K examples.
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## Files
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| File | Description |
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|---|---|
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| `model.safetensors` | Weights in safetensors format |
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| `config.json` | Architecture config |
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| `modeling_mathstral_nano.py` | Pure-NumPy model class with inference |
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| `training_metadata.json` | Full training run metadata and loss curve |
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config.json
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{
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"architectures": [
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"MathstralNanoForCausalLM"
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],
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"model_type": "mathstral_nano",
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"n_layer": 4,
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"n_head": 8,
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"d_model": 64,
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"d_ff": 256,
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"vocab_size": 256,
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"seq_len": 64,
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"tokenizer": "byte-level (UTF-8 bytes 0-255, no special tokens)",
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"total_params": 236928,
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"torch_dtype": "float32",
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"transformers_version": "n/a (custom numpy model)"
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}
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model.safetensors
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version https://git-lfs.github.com/spec/v1
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oid sha256:7e0fcbf8171730908bd75cc6d506f70a15397ca8beace41f4351d3cda4fa9754
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size 951520
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modeling_mathstral_nano.py
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"""
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MathstralNano: tiny 4-layer GPT-style transformer trained on SAT math problems.
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Load and run inference entirely in NumPy — no PyTorch required.
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Usage:
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from modeling_mathstral_nano import MathstralNano
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model = MathstralNano.from_pretrained(".") # path to repo folder
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print(model.generate("Problem: If 2x+5=13, find x. Solution:"))
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"""
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import numpy as np, math, json, os
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from scipy.special import softmax as sp_softmax # pip install scipy
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class MathstralNano:
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"""Tiny causal transformer for SAT-level math problem solving."""
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SYSTEM = "Problem: {question} Solution:"
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def __init__(self, params: dict, config: dict):
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self.P = params
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self.cfg = config
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# ── class method: load from a local directory ─────────────────────────────
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@classmethod
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def from_pretrained(cls, model_dir: str) -> "MathstralNano":
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"""Load weights and config from a local folder or HF repo path."""
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try:
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from safetensors.numpy import load_file
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params = load_file(os.path.join(model_dir, "model.safetensors"))
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except ImportError:
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raise ImportError("pip install safetensors")
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with open(os.path.join(model_dir, "config.json")) as f:
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config = json.load(f)
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return cls(params, config)
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# ── internal helpers ──────────────────────────────────────────────────────
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@staticmethod
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def _encode(text: str, length: int) -> list:
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ids = list(text.encode("utf-8", errors="replace"))[:length]
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ids += [0] * (length - len(ids))
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return ids
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@staticmethod
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def _layer_norm(x, w, b, eps=1e-5):
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mu = x.mean(-1, keepdims=True)
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std = x.std(-1, keepdims=True)
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return w * (x - mu) / (std + eps) + b
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@staticmethod
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def _gelu(x):
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c = math.sqrt(2 / math.pi)
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return 0.5 * x * (1 + np.tanh(c * (x + 0.044715 * x ** 3)))
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def _forward(self, x_ids: np.ndarray):
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"""x_ids (B, T) -> logits (B, T, VOCAB)"""
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P = self.P
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B, T = x_ids.shape
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D = self.cfg["d_model"]
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H = self.cfg["n_head"]
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DH = D // H
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NL = self.cfg["n_layer"]
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SEQ = self.cfg["seq_len"]
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x = P["tok_emb"][x_ids] + P["pos_emb"][:T]
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causal = np.triu(np.full((T, T), -1e9), k=1)
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for i in range(NL):
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n = f"L{i}"
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x_ln = self._layer_norm(x, P[f"{n}_ln1_w"], P[f"{n}_ln1_b"])
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qkv = x_ln @ P[f"{n}_qkv"] + P[f"{n}_qkv_b"]
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Q_mat, K_mat, Val = np.split(qkv, 3, axis=-1)
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Q_mat = Q_mat.reshape(B, T, H, DH).transpose(0, 2, 1, 3)
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K_mat = K_mat.reshape(B, T, H, DH).transpose(0, 2, 1, 3)
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Val = Val.reshape(B, T, H, DH).transpose(0, 2, 1, 3)
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sc = Q_mat @ K_mat.transpose(0, 1, 3, 2) / math.sqrt(DH) + causal
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attn = sp_softmax(sc, axis=-1)
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ctx = (attn @ Val).transpose(0, 2, 1, 3).reshape(B, T, D)
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x = x + ctx @ P[f"{n}_proj"] + P[f"{n}_proj_b"]
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x_ln2 = self._layer_norm(x, P[f"{n}_ln2_w"], P[f"{n}_ln2_b"])
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h1 = self._gelu(x_ln2 @ P[f"{n}_fc1"] + P[f"{n}_fc1_b"])
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x = x + h1 @ P[f"{n}_fc2"] + P[f"{n}_fc2_b"]
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x_out = self._layer_norm(x, P["ln_f_w"], P["ln_f_b"])
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logits = x_out @ P["head"]
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return logits
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# ── public inference API ──────────────────────────────────────────────────
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def generate(
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self,
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prompt: str,
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max_new: int = 80,
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temperature: float = 0.8,
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seed: int = None,
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) -> str:
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"""Generate a completion for the given prompt string."""
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rng = np.random.default_rng(seed)
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SEQ = self.cfg["seq_len"]
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ids = self._encode(prompt, SEQ)
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out = []
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for _ in range(max_new):
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logits = self._forward(np.array([ids]))
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last = logits[0, -1, :].astype(np.float64)
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last = (last - last.max()) / max(temperature, 1e-6)
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probs = np.exp(last) / np.exp(last).sum()
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tok = int(rng.choice(self.cfg["vocab_size"], p=probs))
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out.append(tok)
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ids = ids[1:] + [tok]
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return bytes(out).decode("utf-8", errors="replace")
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def solve(self, question: str, **kwargs) -> str:
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"""Convenience wrapper: formats the SAT-style prompt automatically."""
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prompt = self.SYSTEM.format(question=question.strip())
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return prompt + self.generate(prompt, **kwargs)
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def __repr__(self):
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c = self.cfg
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return (
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f"MathstralNano("
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f"{c['n_layer']}L {c['n_head']}H {c['d_model']}d "
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f"params={c['total_params']:,})"
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)
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training_metadata.json
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"model": {
|
| 3 |
+
"n_layer": 4,
|
| 4 |
+
"n_head": 8,
|
| 5 |
+
"d_model": 64,
|
| 6 |
+
"d_ff": 256,
|
| 7 |
+
"vocab": 256,
|
| 8 |
+
"seq_len": 64,
|
| 9 |
+
"total_params": 236928
|
| 10 |
+
},
|
| 11 |
+
"training": {
|
| 12 |
+
"epochs": 3,
|
| 13 |
+
"steps": 100,
|
| 14 |
+
"batch": 8,
|
| 15 |
+
"lr": 0.0003,
|
| 16 |
+
"baseline_loss": 5.5158,
|
| 17 |
+
"final_loss": 2.224,
|
| 18 |
+
"loss_reduction_pct": 59.7
|
| 19 |
+
},
|
| 20 |
+
"loss_curve": [
|
| 21 |
+
{
|
| 22 |
+
"step": 1,
|
| 23 |
+
"loss": 5.5221
|
| 24 |
+
},
|
| 25 |
+
{
|
| 26 |
+
"step": 20,
|
| 27 |
+
"loss": 5.3729
|
| 28 |
+
},
|
| 29 |
+
{
|
| 30 |
+
"step": 40,
|
| 31 |
+
"loss": 5.0373
|
| 32 |
+
},
|
| 33 |
+
{
|
| 34 |
+
"step": 60,
|
| 35 |
+
"loss": 4.6481
|
| 36 |
+
},
|
| 37 |
+
{
|
| 38 |
+
"step": 80,
|
| 39 |
+
"loss": 4.2298
|
| 40 |
+
},
|
| 41 |
+
{
|
| 42 |
+
"step": 100,
|
| 43 |
+
"loss": 3.8664
|
| 44 |
+
},
|
| 45 |
+
{
|
| 46 |
+
"step": 120,
|
| 47 |
+
"loss": 3.5706
|
| 48 |
+
},
|
| 49 |
+
{
|
| 50 |
+
"step": 140,
|
| 51 |
+
"loss": 3.3363
|
| 52 |
+
},
|
| 53 |
+
{
|
| 54 |
+
"step": 160,
|
| 55 |
+
"loss": 3.1259
|
| 56 |
+
},
|
| 57 |
+
{
|
| 58 |
+
"step": 180,
|
| 59 |
+
"loss": 2.9435
|
| 60 |
+
},
|
| 61 |
+
{
|
| 62 |
+
"step": 200,
|
| 63 |
+
"loss": 2.7872
|
| 64 |
+
},
|
| 65 |
+
{
|
| 66 |
+
"step": 220,
|
| 67 |
+
"loss": 2.6412
|
| 68 |
+
},
|
| 69 |
+
{
|
| 70 |
+
"step": 240,
|
| 71 |
+
"loss": 2.5028
|
| 72 |
+
},
|
| 73 |
+
{
|
| 74 |
+
"step": 260,
|
| 75 |
+
"loss": 2.3663
|
| 76 |
+
},
|
| 77 |
+
{
|
| 78 |
+
"step": 280,
|
| 79 |
+
"loss": 2.2759
|
| 80 |
+
},
|
| 81 |
+
{
|
| 82 |
+
"step": 300,
|
| 83 |
+
"loss": 2.224
|
| 84 |
+
}
|
| 85 |
+
]
|
| 86 |
+
}
|
upload_to_hub.py
ADDED
|
@@ -0,0 +1,30 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""
|
| 2 |
+
Upload mathstral-nano-sat to HuggingFace Hub.
|
| 3 |
+
|
| 4 |
+
Usage:
|
| 5 |
+
pip install huggingface_hub
|
| 6 |
+
python upload_to_hub.py --repo your-username/mathstral-nano-sat --token hf_...
|
| 7 |
+
"""
|
| 8 |
+
import argparse, os
|
| 9 |
+
from huggingface_hub import HfApi, login
|
| 10 |
+
|
| 11 |
+
parser = argparse.ArgumentParser()
|
| 12 |
+
parser.add_argument("--repo", required=True, help="HF repo id, e.g. alice/mathstral-nano-sat")
|
| 13 |
+
parser.add_argument("--token", required=True, help="HuggingFace write token")
|
| 14 |
+
parser.add_argument("--private", action="store_true", help="Make repo private")
|
| 15 |
+
args = parser.parse_args()
|
| 16 |
+
|
| 17 |
+
login(token=args.token)
|
| 18 |
+
api = HfApi()
|
| 19 |
+
|
| 20 |
+
api.create_repo(repo_id=args.repo, exist_ok=True, private=args.private)
|
| 21 |
+
|
| 22 |
+
here = os.path.dirname(os.path.abspath(__file__))
|
| 23 |
+
api.upload_folder(
|
| 24 |
+
folder_path = here,
|
| 25 |
+
repo_id = args.repo,
|
| 26 |
+
repo_type = "model",
|
| 27 |
+
ignore_patterns= ["upload_to_hub.py"],
|
| 28 |
+
commit_message = "Upload mathstral-nano-sat (NumPy fine-tuned SAT math model)",
|
| 29 |
+
)
|
| 30 |
+
print(f"\nUploaded to: https://huggingface.co/{args.repo}")
|