| """Train 3 transformers to compare convergence: |
| 1. Chebyshev residual (shallow, 12 layers) |
| 2. Standard residual (shallow, 12 layers) |
| 3. Standard residual (deep, 24 layers, same params via smaller hidden) |
| |
| All trained on same data, same compute budget. |
| """ |
| import torch |
| import torch.nn as nn |
| import torch.nn.functional as F |
| from torch.utils.data import DataLoader, Dataset |
| import math, time, json, os |
| import numpy as np |
|
|
| DEVICE = "mps" |
| SEED = 42 |
| torch.manual_seed(SEED) |
| np.random.seed(SEED) |
|
|
| |
| VOCAB = 256 |
| SEQ_LEN = 128 |
| BATCH = 32 |
| HIDDEN = 256 |
| HEADS = 8 |
| HEAD_DIM = HIDDEN // HEADS |
| N_STEPS = 5000 |
| LR = 3e-4 |
| EVAL_EVERY = 250 |
|
|
| |
| class ByteDataset(Dataset): |
| def __init__(self, data, seq_len): |
| self.data = data |
| self.seq_len = seq_len |
| def __len__(self): |
| return len(self.data) - self.seq_len - 1 |
| def __getitem__(self, idx): |
| x = self.data[idx:idx+self.seq_len] |
| y = self.data[idx+1:idx+self.seq_len+1] |
| return torch.tensor(x, dtype=torch.long), torch.tensor(y, dtype=torch.long) |
|
|
| |
| DATA_PATH = "/tmp/shakespeare.txt" |
| if not os.path.exists(DATA_PATH): |
| print("Downloading Shakespeare...", flush=True) |
| import urllib.request |
| url = "https://raw.githubusercontent.com/karpathy/char-rnn/master/data/tinyshakespeare/input.txt" |
| urllib.request.urlretrieve(url, DATA_PATH) |
|
|
| with open(DATA_PATH, "rb") as f: |
| raw = list(f.read()) |
| split = int(len(raw) * 0.9) |
| train_data = raw[:split] |
| val_data = raw[split:] |
| train_ds = ByteDataset(train_data, SEQ_LEN) |
| val_ds = ByteDataset(val_data, SEQ_LEN) |
| train_dl = DataLoader(train_ds, batch_size=BATCH, shuffle=True, drop_last=True) |
| val_dl = DataLoader(val_ds, batch_size=BATCH, shuffle=False, drop_last=True) |
| print("Data: %d train, %d val tokens" % (len(train_data), len(val_data)), flush=True) |
|
|
| |
| class CausalSelfAttention(nn.Module): |
| def __init__(self, hidden, heads): |
| super().__init__() |
| self.heads = heads |
| self.head_dim = hidden // heads |
| self.qkv = nn.Linear(hidden, 3 * hidden) |
| self.out = nn.Linear(hidden, hidden) |
| def forward(self, x): |
| B, T, C = x.shape |
| qkv = self.qkv(x).reshape(B, T, 3, self.heads, self.head_dim).permute(2, 0, 3, 1, 4) |
| q, k, v = qkv[0], qkv[1], qkv[2] |
| att = (q @ k.transpose(-2, -1)) * (self.head_dim ** -0.5) |
| mask = torch.triu(torch.ones(T, T, device=x.device, dtype=torch.bool), diagonal=1) |
| att = att.masked_fill(mask, float("-inf")) |
| att = F.softmax(att, dim=-1) |
| out = (att @ v).transpose(1, 2).reshape(B, T, C) |
| return self.out(out) |
|
|
| |
| class MLP(nn.Module): |
| def __init__(self, hidden): |
| super().__init__() |
| self.fc1 = nn.Linear(hidden, 4 * hidden) |
| self.fc2 = nn.Linear(4 * hidden, hidden) |
| def forward(self, x): |
| return self.fc2(F.gelu(self.fc1(x))) |
|
|
| |
| class StandardBlock(nn.Module): |
| def __init__(self, hidden, heads): |
| super().__init__() |
| self.ln1 = nn.LayerNorm(hidden) |
| self.attn = CausalSelfAttention(hidden, heads) |
| self.ln2 = nn.LayerNorm(hidden) |
| self.mlp = MLP(hidden) |
| def forward(self, x): |
| x = x + self.attn(self.ln1(x)) |
| x = x + self.mlp(self.ln2(x)) |
| return x |
|
|
| |
| class ChebyshevBlock(nn.Module): |
| """Two-step Chebyshev recurrence: h_{n+1} = 2*f(h_n) - h_{n-1}""" |
| def __init__(self, hidden, heads): |
| super().__init__() |
| self.ln1 = nn.LayerNorm(hidden) |
| self.attn = CausalSelfAttention(hidden, heads) |
| self.ln2 = nn.LayerNorm(hidden) |
| self.mlp = MLP(hidden) |
| |
| self.alpha = nn.Parameter(torch.tensor(0.5)) |
| def forward(self, x, x_prev): |
| |
| f_x = x + self.attn(self.ln1(x)) |
| f_x = f_x + self.mlp(self.ln2(f_x)) |
| |
| |
| alpha = torch.sigmoid(self.alpha) |
| h_new = (1 + alpha) * f_x - alpha * x_prev |
| return h_new |
|
|
| |
| class StandardTransformer(nn.Module): |
| def __init__(self, vocab, hidden, heads, n_layers): |
| super().__init__() |
| self.embed = nn.Embedding(vocab, hidden) |
| self.pos = nn.Embedding(SEQ_LEN, hidden) |
| self.blocks = nn.ModuleList([StandardBlock(hidden, heads) for _ in range(n_layers)]) |
| self.ln_f = nn.LayerNorm(hidden) |
| self.head = nn.Linear(hidden, vocab, bias=False) |
| self.n_layers = n_layers |
| def forward(self, x): |
| B, T = x.shape |
| h = self.embed(x) + self.pos(torch.arange(T, device=x.device)) |
| for block in self.blocks: |
| h = block(h) |
| return self.head(self.ln_f(h)) |
|
|
| class ChebyshevTransformer(nn.Module): |
| def __init__(self, vocab, hidden, heads, n_layers): |
| super().__init__() |
| self.embed = nn.Embedding(vocab, hidden) |
| self.pos = nn.Embedding(SEQ_LEN, hidden) |
| self.blocks = nn.ModuleList([ChebyshevBlock(hidden, heads) for _ in range(n_layers)]) |
| self.ln_f = nn.LayerNorm(hidden) |
| self.head = nn.Linear(hidden, vocab, bias=False) |
| self.n_layers = n_layers |
| def forward(self, x): |
| B, T = x.shape |
| h = self.embed(x) + self.pos(torch.arange(T, device=x.device)) |
| h_prev = h.clone() |
| for block in self.blocks: |
| h_new = block(h, h_prev) |
| h_prev = h |
| h = h_new |
| return self.head(self.ln_f(h)) |
|
|
| |
| def count_params(model): |
| return sum(p.numel() for p in model.parameters()) |
|
|
| def evaluate(model, dl): |
| model.eval() |
| total_loss = 0 |
| n = 0 |
| with torch.no_grad(): |
| for xb, yb in dl: |
| xb, yb = xb.to(DEVICE), yb.to(DEVICE) |
| logits = model(xb) |
| loss = F.cross_entropy(logits.view(-1, VOCAB), yb.view(-1)) |
| total_loss += loss.item() |
| n += 1 |
| if n >= 20: |
| break |
| model.train() |
| return total_loss / n |
|
|
| def train_model(name, model): |
| model = model.to(DEVICE) |
| params = count_params(model) |
| print("\n%s: %d params (%.2fM), %d layers" % (name, params, params/1e6, model.n_layers), flush=True) |
|
|
| opt = torch.optim.AdamW(model.parameters(), lr=LR) |
| scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(opt, N_STEPS) |
|
|
| losses = [] |
| val_losses = [] |
| step = 0 |
| t0 = time.perf_counter() |
|
|
| while step < N_STEPS: |
| for xb, yb in train_dl: |
| if step >= N_STEPS: |
| break |
| xb, yb = xb.to(DEVICE), yb.to(DEVICE) |
| logits = model(xb) |
| loss = F.cross_entropy(logits.view(-1, VOCAB), yb.view(-1)) |
| opt.zero_grad() |
| loss.backward() |
| torch.nn.utils.clip_grad_norm_(model.parameters(), 1.0) |
| opt.step() |
| scheduler.step() |
| losses.append(loss.item()) |
| step += 1 |
|
|
| if step % EVAL_EVERY == 0: |
| vl = evaluate(model, val_dl) |
| val_losses.append((step, vl)) |
| elapsed = time.perf_counter() - t0 |
| print(" step %d/%d: train=%.4f val=%.4f (%.0fs)" % ( |
| step, N_STEPS, np.mean(losses[-100:]), vl, elapsed), flush=True) |
|
|
| |
| vl = evaluate(model, val_dl) |
| val_losses.append((step, vl)) |
| elapsed = time.perf_counter() - t0 |
| print(" FINAL: val=%.4f, %.0fs, %.1f steps/s" % (vl, elapsed, N_STEPS/elapsed), flush=True) |
|
|
| return { |
| "name": name, |
| "params": params, |
| "layers": model.n_layers, |
| "train_losses": losses, |
| "val_losses": val_losses, |
| "time": elapsed, |
| "final_val": vl, |
| } |
|
|
| |
| HIDDEN_DEEP = HIDDEN |
| HEADS_DEEP = HEADS |
|
|
| print("=" * 60, flush=True) |
| print("CHEBYSHEV vs STANDARD TRANSFORMER COMPARISON", flush=True) |
| print("=" * 60, flush=True) |
| print("Shallow: %d layers, hidden=%d, heads=%d" % (12, HIDDEN, HEADS), flush=True) |
| print("Deep: %d layers, hidden=%d, heads=%d" % (24, HIDDEN_DEEP, HEADS_DEEP), flush=True) |
| print("Steps: %d, Batch: %d, Seq: %d" % (N_STEPS, BATCH, SEQ_LEN), flush=True) |
|
|
| |
| results = [] |
|
|
| |
| model1 = ChebyshevTransformer(VOCAB, HIDDEN, HEADS, 12) |
| r1 = train_model("Chebyshev-12L", model1) |
| results.append(r1) |
| del model1 |
| torch.mps.empty_cache() if hasattr(torch.mps, 'empty_cache') else None |
|
|
| |
| model2 = StandardTransformer(VOCAB, HIDDEN, HEADS, 12) |
| r2 = train_model("Standard-12L", model2) |
| results.append(r2) |
| del model2 |
| torch.mps.empty_cache() if hasattr(torch.mps, 'empty_cache') else None |
|
|
| |
| model3 = StandardTransformer(VOCAB, HIDDEN_DEEP, HEADS_DEEP, 24) |
| r3 = train_model("Standard-24L", model3) |
| results.append(r3) |
| del model3 |
|
|
| |
| print("\n" + "=" * 60, flush=True) |
| print("RESULTS", flush=True) |
| print("=" * 60, flush=True) |
| print("%-20s %8s %6s %10s %10s" % ("Model", "Params", "Layers", "Final Val", "Time"), flush=True) |
| print("-" * 58, flush=True) |
| for r in results: |
| print("%-20s %8d %6d %10.4f %8.0fs" % (r["name"], r["params"], r["layers"], r["final_val"], r["time"]), flush=True) |
|
|
| |
| print("\nConvergence:", flush=True) |
| print("%-20s %10s %10s %10s" % ("Model", "Step 1000", "Step 2500", "Step 5000"), flush=True) |
| print("-" * 52, flush=True) |
| for r in results: |
| vals = dict(r["val_losses"]) |
| v1k = vals.get(1000, vals.get(750, "N/A")) |
| v25k = vals.get(2500, "N/A") |
| v5k = vals.get(5000, vals.get(4750, "N/A")) |
| print("%-20s %10s %10s %10s" % ( |
| r["name"], |
| "%.4f" % v1k if isinstance(v1k, float) else v1k, |
| "%.4f" % v25k if isinstance(v25k, float) else v25k, |
| "%.4f" % v5k if isinstance(v5k, float) else v5k, |
| ), flush=True) |
|
|
| |
| save = {r["name"]: {"val_losses": r["val_losses"], "params": r["params"], |
| "final_val": r["final_val"], "time": r["time"]} for r in results} |
| with open("/tmp/donkey_cheb_train_results.json", "w") as f: |
| json.dump(save, f, indent=2) |
| print("\nSaved to /tmp/donkey_cheb_train_results.json", flush=True) |
|
|