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Create app.py
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# Tiny CoT SLM + Canonical Verifier (single-page, CPU-only, Gradio UI)
# Hugging Face Spaces-ready (fast startup on CPU)
import math, random, time, re, torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
import gradio as gr
# -----------------------------
# Config
# -----------------------------
SEED = 42
random.seed(SEED); np.random.seed(SEED); torch.manual_seed(SEED)
DEVICE = torch.device("cpu")
MAX_LEN = 256
EMBED_DIM = 128
HIDDEN_DIM = 256
NUM_LAYERS = 2
DROPOUT = 0.1
LR = 2e-3
# Reduced for faster Space startup
EPOCHS = 3
BATCH_SIZE = 16
TRAIN_STEPS_PER_EPOCH = 100
TEMPERATURE = 0.7
TOP_K = 8
# -----------------------------
# Synthetic CoT dataset (Step/Final format)
# -----------------------------
BASE = [
("Q: What is 13 + 27?\nA:", "Step: 13 + 27 = 40\nFinal: 40\n"),
("Q: If x = 5, what is 3x + 2?\nA:", "Step: 3*5 = 15\nStep: 15 + 2 = 17\nFinal: 17\n"),
("Q: What is 12 * 4?\nA:", "Step: 12 * 4 = 48\nFinal: 48\n"),
]
def gen_add():
a,b = random.randint(10,99), random.randint(10,99)
return (f"Q: What is {a} + {b}?\nA:", f"Step: {a} + {b} = {a+b}\nFinal: {a+b}\n")
def gen_sub():
a = random.randint(20,99); b = random.randint(1,a-1)
return (f"Q: What is {a} - {b}?\nA:", f"Step: {a} - {b} = {a-b}\nFinal: {a-b}\n")
def gen_mul():
a,b = random.randint(2,12), random.randint(2,12)
return (f"Q: What is {a} * {b}?\nA:", f"Step: {a} * {b} = {a*b}\nFinal: {a*b}\n")
def build_dataset(extra=800):
pairs = BASE[:]
for _ in range(extra):
pairs.append(random.choice([gen_add, gen_sub, gen_mul])())
return [inp + tgt for inp,tgt in pairs]
SAMPLES = build_dataset()
# -----------------------------
# Char-level tokenizer (direct, no external libs)
# -----------------------------
def build_vocab(texts):
chars=set()
for t in texts: chars.update(list(t))
vocab=['<PAD>','<BOS>','<EOS>']+sorted(chars)
stoi={c:i for i,c in enumerate(vocab)}
itos={i:c for c,i in stoi.items()}
return vocab,stoi,itos
VOCAB,STOI,ITOS=build_vocab(SAMPLES)
PAD_ID,BOS_ID,EOS_ID=STOI['<PAD>'],STOI['<BOS>'],STOI['<EOS>']
VOCAB_SIZE=len(VOCAB)
def encode(s,max_len=MAX_LEN,add_bos=True,add_eos=True):
ids=[BOS_ID] if add_bos else []
unk = STOI.get('?')
ids += [STOI.get(ch, unk) for ch in s][:max_len-2 if add_eos else max_len-1]
if add_eos: ids.append(EOS_ID)
ids = ids[:max_len]
ids += [PAD_ID]*(max_len-len(ids))
return torch.tensor(ids,dtype=torch.long)
def decode(ids):
out=[]
for i in ids:
ii=int(i)
if ii in (PAD_ID,BOS_ID,EOS_ID): continue
out.append(ITOS[ii])
return ''.join(out)
# -----------------------------
# Dataset
# -----------------------------
class CoTDataset(torch.utils.data.Dataset):
def __init__(self,samples): self.samples=samples
def __len__(self): return len(self.samples)
def __getitem__(self,idx):
x=encode(self.samples[idx],MAX_LEN)
return x[:-1],x[1:]
train_ds=CoTDataset(SAMPLES)
train_loader=torch.utils.data.DataLoader(train_ds,batch_size=BATCH_SIZE,shuffle=True,drop_last=True)
# -----------------------------
# Model (tiny GRU LM + LayerNorm head)
# -----------------------------
class TinyGRULM(nn.Module):
def __init__(self,vocab_size,embed_dim,hidden_dim,num_layers,dropout):
super().__init__()
self.embed=nn.Embedding(vocab_size,embed_dim)
self.gru=nn.GRU(embed_dim,hidden_dim,num_layers=num_layers,batch_first=True,dropout=dropout)
self.norm=nn.LayerNorm(hidden_dim)
self.head=nn.Linear(hidden_dim,vocab_size)
def forward(self,x,h=None):
emb=self.embed(x); out,h=self.gru(emb,h)
out=self.norm(out); logits=self.head(out)
return logits,h
model=TinyGRULM(VOCAB_SIZE,EMBED_DIM,HIDDEN_DIM,NUM_LAYERS,DROPOUT).to(DEVICE)
opt=torch.optim.AdamW(model.parameters(),lr=LR)
# -----------------------------
# Train (quick warm-up for Spaces)
# -----------------------------
for epoch in range(EPOCHS):
model.train()
for step,(x,y) in enumerate(train_loader):
if step>=TRAIN_STEPS_PER_EPOCH: break
x,y=x.to(DEVICE),y.to(DEVICE)
logits,_=model(x)
loss=F.cross_entropy(logits.view(-1,VOCAB_SIZE),y.view(-1),ignore_index=PAD_ID)
opt.zero_grad(); loss.backward(); opt.step()
print(f"Epoch {epoch+1} done, loss={loss.item():.3f}")
# -----------------------------
# Sampling
# -----------------------------
def sample_next(probs,top_k=8,temp=0.7):
logits=torch.log(probs+1e-9)/max(temp,1e-6)
if top_k>0:
k=min(top_k,logits.shape[-1])
v,idx=torch.topk(logits,k)
mask=torch.full_like(logits,float('-inf'))
mask.scatter_(0,idx,v)
logits=mask
return torch.multinomial(F.softmax(logits,dim=-1),1).item()
def generate_raw(prompt,max_new_tokens=160):
model.eval()
with torch.no_grad():
x=encode(prompt,MAX_LEN,add_bos=True,add_eos=False).unsqueeze(0).to(DEVICE)
h=None; out_ids=x.squeeze(0).tolist()
for _ in range(max_new_tokens):
logits,h=model(x,h)
probs=F.softmax(logits[0,-1],dim=-1)
nid=sample_next(probs,TOP_K,TEMPERATURE)
out_ids.append(nid)
if nid==EOS_ID: break
x=torch.tensor([out_ids[-(MAX_LEN-1):]],dtype=torch.long).to(DEVICE)
gen=decode(out_ids)
if "A:" in gen:
gen = gen.split("A:",1)[1].strip()
return gen
# -----------------------------
# Canonical verifier (accurate Step/Final for +, -, *)
# -----------------------------
def compute_step_final(q):
m=re.search(r'(-?\d+)\s*([+\-*])\s*(-?\d+)',q)
if not m: return None
a,op,b=int(m.group(1)),m.group(2),int(m.group(3))
if op=='+':
return f"Step: {a} + {b} = {a+b}", f"Final: {a+b}"
if op=='-':
return f"Step: {a} - {b} = {a-b}", f"Final: {a-b}"
if op=='*':
return f"Step: {a} * {b} = {a*b}", f"Final: {a*b}"
return None
def normalize_generation(gen):
lines=[ln.strip() for ln in gen.splitlines() if ln.strip()]
return lines
def verify_and_format(question, gen):
sf = compute_step_final(question)
lines = normalize_generation(gen)
step_lines = [ln for ln in lines if ln.lower().startswith("step:")]
final_lines = [ln for ln in lines if ln.lower().startswith("final:")]
if sf is None:
out=[]
if step_lines: out.append(step_lines[0])
if final_lines: out.append(final_lines[0])
if not out: out = lines[:4]
return "\n".join(out)
canonical_step, canonical_final = sf
return "\n".join([canonical_step, canonical_final])
# -----------------------------
# Quick validation on held-out samples (sanity check)
# -----------------------------
def validate(n=20):
tests=[]
for _ in range(n):
kind=random.choice([gen_add,gen_sub,gen_mul])
inp,tgt=kind()
q = inp[:-2]
tests.append(q)
ok=0
for q in tests:
ans = verify_and_format(q, generate_raw(q+"\nA:",160))
m=re.search(r'Final:\s*(-?\d+)\s*$',ans)
target = compute_step_final(q)
if m and target and int(m.group(1))==int(target[1].split(":")[1].strip()):
ok+=1
return ok, n
acc, total = validate(30)
print(f"Verifier accuracy on random held-out arithmetic: {acc}/{total} correct")
# -----------------------------
# Inference
# -----------------------------
def answer_fn(question):
raw=generate_raw(question+"\nA:",max_new_tokens=160)
return verify_and_format(question, raw)
# -----------------------------
# Gradio UI
# -----------------------------
demo=gr.Interface(
fn=answer_fn,
inputs=gr.Textbox(lines=2, placeholder="Ask a math question (e.g., What is 12 * 4?)"),
outputs="text",
title="Tiny CoT SLM (CPU) with canonical Steps and Final",
description="Guarantees accurate 'Step:' and 'Final:' for +, -, * via a safe verifier. Model adds natural CoT flavor."
)
if __name__ == "__main__":
demo.launch()