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Browse files- README.md +51 -17
- app.py +76 -0
- calculator_llm.py +254 -0
- config.json +9 -0
- model.pt +3 -0
- requirements.txt +2 -0
- vocab.json +38 -0
README.md
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---
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title:
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emoji: 🧮
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colorFrom: blue
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colorTo: purple
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sdk: gradio
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sdk_version:
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app_file: app.py
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pinned: false
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license:
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---
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# Calculator LLM
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A tiny
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##
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"
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"six times eight" -> "forty eight"
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```
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---
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title: Calculator LLM
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emoji: 🧮
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colorFrom: blue
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colorTo: purple
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sdk: gradio
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sdk_version: "5.9.1"
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app_file: app.py
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pinned: false
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license: mit
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---
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# 🧮 Calculator LLM
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A tiny transformer model (~105K parameters) that solves English math problems.
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## Try It
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Enter a math problem in English like:
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- "two plus three"
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- "seven times eight"
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- "twenty minus five"
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The model will output the answer in English!
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## Examples
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| Input | Output |
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|-------|--------|
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| two plus three | five |
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| seven times eight | fifty six |
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| twenty minus five | fifteen |
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| nine times nine | eighty one |
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## Built From Scratch
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This model was built following the tutorial at [sid.sh/learn/build-your-first-llm](https://sid.sh/learn/build-your-first-llm)
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Same architecture as GPT (attention, feed-forward, transformer blocks), just much smaller!
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## Model Details
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| Property | Value |
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|----------|-------|
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| Parameters | ~105K |
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| Layers | 2 transformer blocks |
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| Embedding | 64 dimensions |
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| Attention Heads | 4 |
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| Vocabulary | 36 tokens |
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| Operations | plus, minus, times |
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| Number Range | 0-99 |
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## Architecture
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This is a decoder-only transformer with:
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- Token embeddings + sinusoidal positional encoding
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- 2 transformer blocks (multi-head attention + feed-forward)
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- Causal masking for autoregressive generation
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- Layer normalization and residual connections
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## Training
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Trained on 5,000 randomly generated math problems for 20 epochs.
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## Links
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- 📚 [Tutorial: Build Your First LLM](https://sid.sh/learn/build-your-first-llm)
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- 💻 [Full Notebook on GitHub](https://github.com/slahiri/blog/blob/main/public/notebooks/full_calculator_llm.ipynb)
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app.py
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"""
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Calculator LLM Demo - A tiny transformer that solves English math problems.
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Built from scratch following: https://sid.sh/learn/build-your-first-llm
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"""
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import gradio as gr
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from calculator_llm import load_model, generate
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# Load the trained model
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print("Loading model...")
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model, tokenizer, vocab = load_model(".")
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print("Model loaded!")
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def solve_math(problem: str) -> str:
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"""Solve an English math problem."""
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if not problem.strip():
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return ""
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# Ensure the problem ends with 'equals'
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problem = problem.lower().strip()
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if not problem.endswith("equals"):
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problem = problem + " equals"
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# Generate the answer
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result = generate(model, tokenizer, vocab, problem)
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# Extract just the answer part
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answer = result.replace(problem, "").strip()
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return answer
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# Example problems
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examples = [
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["two plus three"],
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["seven times eight"],
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["fifteen minus six"],
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["twenty plus thirty"],
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["nine times nine"],
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["fifty minus twenty five"],
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["twelve plus seven"],
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["eighty one minus forty"],
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]
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# Create the Gradio interface
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demo = gr.Interface(
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fn=solve_math,
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inputs=gr.Textbox(
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label="Math Problem (in English)",
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placeholder="e.g., two plus three",
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info="Enter numbers 0-99 with operations: plus, minus, times",
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),
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outputs=gr.Textbox(label="Answer"),
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title="🧮 Calculator LLM",
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description="""
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A tiny transformer model (~105K parameters) that solves English math problems.
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**Built from scratch** following the tutorial at [sid.sh/learn/build-your-first-llm](https://sid.sh/learn/build-your-first-llm)
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Same architecture as GPT, just much smaller!
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| Property | Value |
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|----------|-------|
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| Parameters | ~105K |
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| Layers | 2 |
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| Attention Heads | 4 |
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| Embedding Dim | 64 |
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""",
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examples=examples,
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theme=gr.themes.Soft(),
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cache_examples=True,
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)
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if __name__ == "__main__":
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demo.launch()
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calculator_llm.py
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"""
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Calculator LLM - A tiny transformer for solving English math problems.
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Built from scratch following: https://sid.sh/learn/build-your-first-llm
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"""
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import torch
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import torch.nn as nn
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import torch.nn.functional as F
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import math
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import json
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class PositionalEncoding(nn.Module):
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"""Adds positional information to embeddings using sine/cosine waves."""
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def __init__(self, embed_dim, max_seq_len=512, dropout=0.1):
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super().__init__()
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self.dropout = nn.Dropout(p=dropout)
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pe = torch.zeros(max_seq_len, embed_dim)
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position = torch.arange(0, max_seq_len, dtype=torch.float).unsqueeze(1)
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div_term = torch.exp(
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torch.arange(0, embed_dim, 2).float() * (-math.log(10000.0) / embed_dim)
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)
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pe[:, 0::2] = torch.sin(position * div_term)
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pe[:, 1::2] = torch.cos(position * div_term)
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pe = pe.unsqueeze(0)
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self.register_buffer("pe", pe)
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def forward(self, x):
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x = x + self.pe[:, : x.size(1), :]
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return self.dropout(x)
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+
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+
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class TokenEmbedding(nn.Module):
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"""Converts token IDs to embedding vectors with positional encoding."""
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+
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def __init__(self, vocab_size, embed_dim, max_seq_len, dropout=0.1):
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super().__init__()
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self.embed_dim = embed_dim
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self.token_embedding = nn.Embedding(vocab_size, embed_dim)
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self.pos_encoding = PositionalEncoding(embed_dim, max_seq_len, dropout)
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self.scale = math.sqrt(embed_dim)
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+
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def forward(self, x):
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x = self.token_embedding(x) * self.scale
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x = self.pos_encoding(x)
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return x
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+
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class MultiHeadAttention(nn.Module):
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"""Multi-head self-attention mechanism."""
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+
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def __init__(self, embed_dim, num_heads, dropout=0.1):
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super().__init__()
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self.embed_dim = embed_dim
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self.num_heads = num_heads
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self.head_dim = embed_dim // num_heads
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self.q_proj = nn.Linear(embed_dim, embed_dim)
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self.k_proj = nn.Linear(embed_dim, embed_dim)
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self.v_proj = nn.Linear(embed_dim, embed_dim)
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self.out_proj = nn.Linear(embed_dim, embed_dim)
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self.dropout = nn.Dropout(dropout)
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self.scale = math.sqrt(self.head_dim)
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def forward(self, x, mask=None):
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batch_size, seq_len, _ = x.shape
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Q = (
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self.q_proj(x)
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.view(batch_size, seq_len, self.num_heads, self.head_dim)
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.transpose(1, 2)
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+
)
|
| 72 |
+
K = (
|
| 73 |
+
self.k_proj(x)
|
| 74 |
+
.view(batch_size, seq_len, self.num_heads, self.head_dim)
|
| 75 |
+
.transpose(1, 2)
|
| 76 |
+
)
|
| 77 |
+
V = (
|
| 78 |
+
self.v_proj(x)
|
| 79 |
+
.view(batch_size, seq_len, self.num_heads, self.head_dim)
|
| 80 |
+
.transpose(1, 2)
|
| 81 |
+
)
|
| 82 |
+
scores = torch.matmul(Q, K.transpose(-2, -1)) / self.scale
|
| 83 |
+
if mask is not None:
|
| 84 |
+
scores = scores.masked_fill(mask == 0, float("-inf"))
|
| 85 |
+
attn_weights = F.softmax(scores, dim=-1)
|
| 86 |
+
attn_weights = self.dropout(attn_weights)
|
| 87 |
+
attn_output = torch.matmul(attn_weights, V)
|
| 88 |
+
attn_output = (
|
| 89 |
+
attn_output.transpose(1, 2)
|
| 90 |
+
.contiguous()
|
| 91 |
+
.view(batch_size, seq_len, self.embed_dim)
|
| 92 |
+
)
|
| 93 |
+
return self.out_proj(attn_output), attn_weights
|
| 94 |
+
|
| 95 |
+
|
| 96 |
+
class FeedForward(nn.Module):
|
| 97 |
+
"""Position-wise feed-forward network."""
|
| 98 |
+
|
| 99 |
+
def __init__(self, embed_dim, ff_dim, dropout=0.1):
|
| 100 |
+
super().__init__()
|
| 101 |
+
self.linear1 = nn.Linear(embed_dim, ff_dim)
|
| 102 |
+
self.linear2 = nn.Linear(ff_dim, embed_dim)
|
| 103 |
+
self.dropout = nn.Dropout(dropout)
|
| 104 |
+
|
| 105 |
+
def forward(self, x):
|
| 106 |
+
return self.linear2(self.dropout(F.relu(self.linear1(x))))
|
| 107 |
+
|
| 108 |
+
|
| 109 |
+
class TransformerBlock(nn.Module):
|
| 110 |
+
"""A single transformer decoder block."""
|
| 111 |
+
|
| 112 |
+
def __init__(self, embed_dim, num_heads, ff_dim, dropout=0.1):
|
| 113 |
+
super().__init__()
|
| 114 |
+
self.attention = MultiHeadAttention(embed_dim, num_heads, dropout)
|
| 115 |
+
self.norm1 = nn.LayerNorm(embed_dim)
|
| 116 |
+
self.feed_forward = FeedForward(embed_dim, ff_dim, dropout)
|
| 117 |
+
self.norm2 = nn.LayerNorm(embed_dim)
|
| 118 |
+
self.dropout = nn.Dropout(dropout)
|
| 119 |
+
|
| 120 |
+
def forward(self, x, mask=None):
|
| 121 |
+
attn_output, attn_weights = self.attention(x, mask)
|
| 122 |
+
x = self.norm1(x + self.dropout(attn_output))
|
| 123 |
+
ff_output = self.feed_forward(x)
|
| 124 |
+
x = self.norm2(x + self.dropout(ff_output))
|
| 125 |
+
return x, attn_weights
|
| 126 |
+
|
| 127 |
+
|
| 128 |
+
def create_causal_mask(seq_len):
|
| 129 |
+
"""Create a causal mask to prevent attending to future tokens."""
|
| 130 |
+
mask = torch.tril(torch.ones(seq_len, seq_len))
|
| 131 |
+
return mask.unsqueeze(0).unsqueeze(0)
|
| 132 |
+
|
| 133 |
+
|
| 134 |
+
class CalculatorLLM(nn.Module):
|
| 135 |
+
"""A tiny transformer LLM for solving English math problems."""
|
| 136 |
+
|
| 137 |
+
def __init__(
|
| 138 |
+
self, vocab_size, embed_dim, num_heads, num_layers, ff_dim, max_seq_len, dropout=0.1
|
| 139 |
+
):
|
| 140 |
+
super().__init__()
|
| 141 |
+
self.embed_dim = embed_dim
|
| 142 |
+
self.max_seq_len = max_seq_len
|
| 143 |
+
self.embedding = TokenEmbedding(vocab_size, embed_dim, max_seq_len, dropout)
|
| 144 |
+
self.layers = nn.ModuleList(
|
| 145 |
+
[
|
| 146 |
+
TransformerBlock(embed_dim, num_heads, ff_dim, dropout)
|
| 147 |
+
for _ in range(num_layers)
|
| 148 |
+
]
|
| 149 |
+
)
|
| 150 |
+
self.norm = nn.LayerNorm(embed_dim)
|
| 151 |
+
self.output_proj = nn.Linear(embed_dim, vocab_size)
|
| 152 |
+
|
| 153 |
+
def forward(self, x, mask=None):
|
| 154 |
+
if mask is None:
|
| 155 |
+
seq_len = x.size(1)
|
| 156 |
+
mask = create_causal_mask(seq_len).to(x.device)
|
| 157 |
+
x = self.embedding(x)
|
| 158 |
+
for layer in self.layers:
|
| 159 |
+
x, _ = layer(x, mask)
|
| 160 |
+
x = self.norm(x)
|
| 161 |
+
return self.output_proj(x)
|
| 162 |
+
|
| 163 |
+
|
| 164 |
+
class Tokenizer:
|
| 165 |
+
"""Converts text to token IDs and back."""
|
| 166 |
+
|
| 167 |
+
def __init__(self, vocab):
|
| 168 |
+
self.vocab = vocab
|
| 169 |
+
self.id_to_word = {v: k for k, v in vocab.items()}
|
| 170 |
+
|
| 171 |
+
def normalize(self, text):
|
| 172 |
+
text = text.lower().strip()
|
| 173 |
+
text = text.replace("+", " plus ").replace("-", " minus ")
|
| 174 |
+
text = (
|
| 175 |
+
text.replace("*", " times ").replace("x", " times ").replace("=", " equals ")
|
| 176 |
+
)
|
| 177 |
+
tens = [
|
| 178 |
+
"twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"
|
| 179 |
+
]
|
| 180 |
+
ones = ["one", "two", "three", "four", "five", "six", "seven", "eight", "nine"]
|
| 181 |
+
for ten in tens:
|
| 182 |
+
for one in ones:
|
| 183 |
+
text = text.replace(f"{ten}{one}", f"{ten} {one}")
|
| 184 |
+
return " ".join(text.split())
|
| 185 |
+
|
| 186 |
+
def encode(self, text, add_special_tokens=True):
|
| 187 |
+
text = self.normalize(text)
|
| 188 |
+
ids = [self.vocab["[START]"]] if add_special_tokens else []
|
| 189 |
+
for word in text.split():
|
| 190 |
+
ids.append(self.vocab.get(word, self.vocab["[UNK]"]))
|
| 191 |
+
if add_special_tokens:
|
| 192 |
+
ids.append(self.vocab["[END]"])
|
| 193 |
+
return ids
|
| 194 |
+
|
| 195 |
+
def decode(self, ids, skip_special_tokens=True):
|
| 196 |
+
special = {"[PAD]", "[START]", "[END]", "[UNK]"}
|
| 197 |
+
words = [
|
| 198 |
+
self.id_to_word.get(id, "[UNK]")
|
| 199 |
+
for id in ids
|
| 200 |
+
if not (skip_special_tokens and self.id_to_word.get(id, "[UNK]") in special)
|
| 201 |
+
]
|
| 202 |
+
return " ".join(words)
|
| 203 |
+
|
| 204 |
+
|
| 205 |
+
def load_model(model_dir, device="cpu"):
|
| 206 |
+
"""Load a saved Calculator LLM model."""
|
| 207 |
+
with open(f"{model_dir}/config.json") as f:
|
| 208 |
+
config = json.load(f)
|
| 209 |
+
with open(f"{model_dir}/vocab.json") as f:
|
| 210 |
+
vocab = json.load(f)
|
| 211 |
+
|
| 212 |
+
model = CalculatorLLM(
|
| 213 |
+
vocab_size=config["vocab_size"],
|
| 214 |
+
embed_dim=config["embed_dim"],
|
| 215 |
+
num_heads=config["num_heads"],
|
| 216 |
+
num_layers=config["num_layers"],
|
| 217 |
+
ff_dim=config["ff_dim"],
|
| 218 |
+
max_seq_len=config["max_seq_len"],
|
| 219 |
+
dropout=config["dropout"],
|
| 220 |
+
)
|
| 221 |
+
model.load_state_dict(
|
| 222 |
+
torch.load(f"{model_dir}/model.pt", map_location=device, weights_only=True)
|
| 223 |
+
)
|
| 224 |
+
model.to(device)
|
| 225 |
+
model.eval()
|
| 226 |
+
|
| 227 |
+
tokenizer = Tokenizer(vocab)
|
| 228 |
+
return model, tokenizer, vocab
|
| 229 |
+
|
| 230 |
+
|
| 231 |
+
def generate(model, tokenizer, vocab, prompt, device="cpu", max_new_tokens=10):
|
| 232 |
+
"""Generate text from a prompt."""
|
| 233 |
+
model.eval()
|
| 234 |
+
tokens = tokenizer.encode(prompt, add_special_tokens=True)[:-1]
|
| 235 |
+
input_ids = torch.tensor([tokens]).to(device)
|
| 236 |
+
|
| 237 |
+
with torch.no_grad():
|
| 238 |
+
for _ in range(max_new_tokens):
|
| 239 |
+
logits = model(input_ids)
|
| 240 |
+
next_token = logits[0, -1, :].argmax().item()
|
| 241 |
+
if next_token == vocab["[END]"]:
|
| 242 |
+
break
|
| 243 |
+
input_ids = torch.cat(
|
| 244 |
+
[input_ids, torch.tensor([[next_token]]).to(device)], dim=1
|
| 245 |
+
)
|
| 246 |
+
|
| 247 |
+
return tokenizer.decode(input_ids[0].tolist())
|
| 248 |
+
|
| 249 |
+
|
| 250 |
+
if __name__ == "__main__":
|
| 251 |
+
# Example usage
|
| 252 |
+
model, tokenizer, vocab = load_model(".")
|
| 253 |
+
result = generate(model, tokenizer, vocab, "two plus three equals")
|
| 254 |
+
print(f"Result: {result}")
|
config.json
ADDED
|
@@ -0,0 +1,9 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"vocab_size": 36,
|
| 3 |
+
"embed_dim": 64,
|
| 4 |
+
"num_heads": 4,
|
| 5 |
+
"num_layers": 2,
|
| 6 |
+
"ff_dim": 256,
|
| 7 |
+
"max_seq_len": 16,
|
| 8 |
+
"dropout": 0.1
|
| 9 |
+
}
|
model.pt
ADDED
|
@@ -0,0 +1,3 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
version https://git-lfs.github.com/spec/v1
|
| 2 |
+
oid sha256:9c729d0dee5708cb1ee6f63509a3bea2556e0dafdc63e7b80b421932394e226f
|
| 3 |
+
size 434201
|
requirements.txt
ADDED
|
@@ -0,0 +1,2 @@
|
|
|
|
|
|
|
|
|
|
| 1 |
+
torch
|
| 2 |
+
gradio
|
vocab.json
ADDED
|
@@ -0,0 +1,38 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"[PAD]": 0,
|
| 3 |
+
"[START]": 1,
|
| 4 |
+
"[END]": 2,
|
| 5 |
+
"[UNK]": 3,
|
| 6 |
+
"zero": 4,
|
| 7 |
+
"one": 5,
|
| 8 |
+
"two": 6,
|
| 9 |
+
"three": 7,
|
| 10 |
+
"four": 8,
|
| 11 |
+
"five": 9,
|
| 12 |
+
"six": 10,
|
| 13 |
+
"seven": 11,
|
| 14 |
+
"eight": 12,
|
| 15 |
+
"nine": 13,
|
| 16 |
+
"ten": 14,
|
| 17 |
+
"eleven": 15,
|
| 18 |
+
"twelve": 16,
|
| 19 |
+
"thirteen": 17,
|
| 20 |
+
"fourteen": 18,
|
| 21 |
+
"fifteen": 19,
|
| 22 |
+
"sixteen": 20,
|
| 23 |
+
"seventeen": 21,
|
| 24 |
+
"eighteen": 22,
|
| 25 |
+
"nineteen": 23,
|
| 26 |
+
"twenty": 24,
|
| 27 |
+
"thirty": 25,
|
| 28 |
+
"forty": 26,
|
| 29 |
+
"fifty": 27,
|
| 30 |
+
"sixty": 28,
|
| 31 |
+
"seventy": 29,
|
| 32 |
+
"eighty": 30,
|
| 33 |
+
"ninety": 31,
|
| 34 |
+
"plus": 32,
|
| 35 |
+
"minus": 33,
|
| 36 |
+
"times": 34,
|
| 37 |
+
"equals": 35
|
| 38 |
+
}
|