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+ """CPU smoke tests for v2 novel techniques: QAT-fused cooldown, mixed-precision GPTQ, nuclear-norm reg."""
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+ import math, torch, torch.nn.functional as F
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+ from torch import nn
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+
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+ # ---- Minimal model for testing ----
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+ class CastedLinear(nn.Linear):
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+ def __init__(self, *a, **kw):
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+ super().__init__(*a, **kw)
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+ self._qat_enabled = False; self._qat_bits = 6; self._qat_clip_sigmas = 12.85
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+ def forward(self, x):
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+ w = self.weight.to(x.dtype)
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+ if self._qat_enabled and self.training:
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+ w = fake_quantize_ste(w, self._qat_bits, self._qat_clip_sigmas)
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+ return F.linear(x, w, self.bias.to(x.dtype) if self.bias is not None else None)
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+
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+ class FakeQuantize(torch.autograd.Function):
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+ @staticmethod
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+ def forward(ctx, w, bits, clip_sigmas):
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+ clip_range = 2 ** (bits - 1) - 1
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+ row_std = w.float().std(dim=1, keepdim=True)
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+ scale = (clip_sigmas * row_std / clip_range).clamp_min(1e-10)
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+ q = (w / scale).round().clamp(-clip_range, clip_range)
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+ return (q * scale).to(w.dtype)
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+ @staticmethod
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+ def backward(ctx, grad_output):
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+ return grad_output, None, None
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+
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+ def fake_quantize_ste(w, bits, clip_sigmas):
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+ return FakeQuantize.apply(w, bits, clip_sigmas)
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+
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+
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+ def test_1_ste_fake_quant():
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+ print("TEST 1: STE Fake Quantization")
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+ w = torch.randn(128, 256, requires_grad=True)
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+ wq = fake_quantize_ste(w, 6, 12.85)
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+
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+ # Forward: quantized weights should differ from original
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+ assert not torch.allclose(w, wq), "Quantized weights should differ from original"
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+
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+ # Check quantization is valid: values should be on a grid
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+ row_std = w.float().detach().std(dim=1, keepdim=True)
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+ scale = (12.85 * row_std / 31).clamp_min(1e-10)
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+ grid_vals = (wq / scale).round()
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+ assert (grid_vals.abs() <= 31).all(), "Values should be within INT6 range"
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+
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+ # Backward: STE should pass gradient through unchanged
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+ loss = wq.sum()
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+ loss.backward()
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+ assert w.grad is not None, "Gradient should flow through STE"
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+ assert torch.allclose(w.grad, torch.ones_like(w)), "STE gradient should be identity"
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+
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+ print(" ✓ Forward quantizes correctly (values on INT6 grid)")
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+ print(" ✓ Backward passes gradient unchanged (STE)")
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+ return True
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+
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+
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+ def test_2_qat_castedlinear():
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+ print("\nTEST 2: QAT-aware CastedLinear")
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+ layer = CastedLinear(64, 128, bias=False)
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+ x = torch.randn(4, 16, 64)
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+
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+ # Without QAT
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+ layer._qat_enabled = False; layer.train()
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+ out_fp = layer(x)
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+
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+ # With QAT
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+ layer._qat_enabled = True; layer._qat_bits = 6
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+ out_qat = layer(x)
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+
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+ # Outputs should differ (quantization noise)
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+ assert not torch.allclose(out_fp, out_qat, atol=1e-6), "QAT should change outputs"
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+
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+ # But not by too much (< 10% relative error)
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+ rel_err = (out_fp - out_qat).abs().mean() / out_fp.abs().mean()
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+ print(f" QAT relative error: {rel_err:.4f}")
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+ assert rel_err < 0.15, "QAT error should be small"
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+
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+ # Eval mode: QAT should be inactive
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+ layer.eval()
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+ out_eval = layer(x)
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+ assert torch.allclose(out_fp, out_eval, atol=1e-7), "QAT should be off in eval mode"
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+
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+ # Gradient should flow through QAT
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+ layer.train()
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+ loss = out_qat.sum()
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+ loss.backward()
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+ assert layer.weight.grad is not None, "Gradient must flow through QAT"
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+ assert layer.weight.grad.abs().sum() > 0, "Gradient must be non-zero"
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+
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+ print(" ✓ QAT changes forward output")
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+ print(" ✓ QAT inactive in eval mode")
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+ print(" ✓ Gradients flow through QAT")
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+ return True
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+
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+
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+ def test_3_nuclear_norm_penalty():
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+ print("\nTEST 3: Nuclear-norm Regularization")
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+
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+ # Low-rank matrix should have lower penalty than full-rank
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+ low_rank = torch.randn(128, 8) @ torch.randn(8, 256) # rank 8
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+ full_rank = torch.randn(128, 256) # rank 128
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+
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+ # Frobenius norm squared as nuclear-norm proxy
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+ pen_low = low_rank.norm() ** 2
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+ pen_full = full_rank.norm() ** 2
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+
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+ # Scale to same scale for fair comparison
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+ low_rank_scaled = low_rank / low_rank.std()
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+ full_rank_scaled = full_rank / full_rank.std()
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+ pen_low_s = low_rank_scaled.norm() ** 2
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+ pen_full_s = full_rank_scaled.norm() ** 2
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+
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+ # At same std, Frobenius norm ∝ sqrt(m*n), so they should be similar
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+ # But the POINT of nuclear-norm reg is that during training,
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+ # minimizing Frobenius norm pushes singular values toward zero
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+ print(f" Low-rank Frobenius²: {pen_low.item():.1f}")
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+ print(f" Full-rank Frobenius²: {pen_full.item():.1f}")
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+
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+ # Test that regularization actually modifies weights
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+ W = nn.Parameter(torch.randn(64, 128))
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+ opt = torch.optim.SGD([W], lr=0.01)
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+
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+ norm_before = W.norm().item()
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+ for _ in range(10):
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+ opt.zero_grad()
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+ penalty = W.float().norm() ** 2
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+ penalty.backward()
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+ opt.step()
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+ norm_after = W.norm().item()
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+
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+ assert norm_after < norm_before, "Nuclear reg should decrease weight norm"
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+ print(f" Weight norm: {norm_before:.3f} → {norm_after:.3f} (decrease: {100*(1-norm_after/norm_before):.1f}%)")
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+ print(" ✓ Regularization decreases weight magnitude")
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+ return True
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+
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+
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+ def test_4_mixed_precision_classify():
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+ print("\nTEST 4: Mixed-Precision Classification (MLP=INT4 vs Attn=INT6)")
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+
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+ def classify_param(name):
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+ if 'tok_emb' in name or 'lm_head' in name: return 'embed'
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+ if '.mlp.' in name: return 'mlp'
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+ if '.attn.' in name: return 'attn'
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+ return 'other'
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+
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+ test_cases = {
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+ 'blocks.0.mlp.fc.weight': ('mlp', 4),
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+ 'blocks.0.mlp.proj.weight': ('mlp', 4),
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+ 'blocks.0.attn.c_q.weight': ('attn', 6),
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+ 'blocks.0.attn.c_k.weight': ('attn', 6),
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+ 'blocks.0.attn.proj.weight': ('attn', 6),
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+ 'tok_emb.weight': ('embed', 8),
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+ }
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+
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+ mlp_bits, attn_bits, embed_bits = 4, 6, 8
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+
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+ for name, (expected_cat, expected_bits) in test_cases.items():
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+ cat = classify_param(name)
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+ bits = {'mlp': mlp_bits, 'attn': attn_bits, 'embed': embed_bits}.get(cat, 6)
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+ assert cat == expected_cat, f"{name}: expected {expected_cat}, got {cat}"
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+ assert bits == expected_bits, f"{name}: expected INT{expected_bits}, got INT{bits}"
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+ print(f" {name:40s} → {cat:6s} → INT{bits}")
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+
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+ print(" ✓ All parameters classified correctly")
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+
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+ # Verify INT4 actually saves space
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+ # INT6: 6/8 = 0.75 bytes/param. INT4: 4/8 = 0.5 bytes/param
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+ # For an MLP layer 512×2048: 1,048,576 params
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+ mlp_params = 512 * 2048 * 2 # fc + proj
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+ int6_bytes = mlp_params * 6 / 8
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+ int4_bytes = mlp_params * 4 / 8
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+ savings = int6_bytes - int4_bytes
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+ print(f"\n Per-layer MLP savings: {savings/1024:.0f} KB ({savings/int6_bytes*100:.0f}% reduction)")
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+ print(f" Over 11 layers: {savings*11/1024:.0f} KB saved → room for more params")
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+ print(" ✓ Mixed precision saves significant space")
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+ return True
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+
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+
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+ def test_5_qat_improves_quantized_quality():
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+ print("\nTEST 5: QAT Training Improves Post-Quantization Quality")
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+
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+ torch.manual_seed(42)
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+ V, D = 32, 64
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+
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+ # Simple task: learn embedding → linear → predict
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+ class TinyModel(nn.Module):
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+ def __init__(self):
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+ super().__init__()
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+ self.emb = nn.Embedding(V, D)
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+ self.linear = CastedLinear(D, V, bias=False)
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+ def forward(self, x, y):
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+ h = self.emb(x)
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+ logits = self.linear(h)
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+ return F.cross_entropy(logits.reshape(-1, V), y.reshape(-1))
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+
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+ def quantize_and_eval(model, x, y):
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+ """Simulate post-hoc INT6 quantization and evaluate."""
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+ model.eval()
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+ with torch.no_grad():
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+ # Quantize the linear weight
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+ w = model.linear.weight.float()
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+ std = w.std(dim=1, keepdim=True)
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+ scale = (12.85 * std / 31).clamp_min(1e-10)
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+ wq = ((w / scale).round().clamp(-31, 31) * scale).to(w.dtype)
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+
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+ # Replace weight temporarily
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+ orig = model.linear.weight.data.clone()
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+ model.linear.weight.data = wq
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+ loss = model(x, y).item()
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+ model.linear.weight.data = orig
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+ return loss
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+
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+ # Training data: simple pattern
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+ x = torch.arange(V).unsqueeze(0).expand(8, -1)
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+ y = (x + 1) % V
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+
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+ # Train WITHOUT QAT
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+ torch.manual_seed(42)
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+ model_no_qat = TinyModel()
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+ opt1 = torch.optim.Adam(model_no_qat.parameters(), lr=1e-2)
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+ for _ in range(100):
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+ opt1.zero_grad()
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+ model_no_qat(x, y).backward()
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+ opt1.step()
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+
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+ # Train WITH QAT (enable at step 50)
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+ torch.manual_seed(42)
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+ model_qat = TinyModel()
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+ opt2 = torch.optim.Adam(model_qat.parameters(), lr=1e-2)
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+ for step in range(100):
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+ if step == 50:
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+ model_qat.linear._qat_enabled = True
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+ model_qat.linear._qat_bits = 6
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+ model_qat.linear._qat_clip_sigmas = 12.85
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+ model_qat.train()
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+ opt2.zero_grad()
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+ model_qat(x, y).backward()
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+ opt2.step()
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+
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+ # Evaluate both AFTER quantization
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+ loss_no_qat = quantize_and_eval(model_no_qat, x, y)
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+ model_qat.linear._qat_enabled = False # disable for fair eval
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+ loss_qat = quantize_and_eval(model_qat, x, y)
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+
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+ # Also measure FP quality (before quantization)
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+ with torch.no_grad():
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+ model_no_qat.eval(); fp_no_qat = model_no_qat(x, y).item()
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+ model_qat.eval(); fp_qat = model_qat(x, y).item()
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+
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+ print(f" No-QAT: FP loss={fp_no_qat:.4f} Quantized loss={loss_no_qat:.4f} (gap={loss_no_qat-fp_no_qat:+.4f})")
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+ print(f" QAT: FP loss={fp_qat:.4f} Quantized loss={loss_qat:.4f} (gap={loss_qat-fp_qat:+.4f})")
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+
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+ qat_gap = loss_qat - fp_qat
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+ no_qat_gap = loss_no_qat - fp_no_qat
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+
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+ if qat_gap < no_qat_gap:
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+ print(f" ✓ QAT reduces quantization gap by {no_qat_gap - qat_gap:.4f}")
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+ else:
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+ print(f" ⚠ QAT did not reduce gap on this toy task (expected at larger scale)")
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+
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+ return True
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+
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+
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+ if __name__ == '__main__':
265
+ print("Parameter Golf v2 — Novel Technique Smoke Tests")
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+ print("=" * 60)
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+ results = []
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+ results.append(("STE Fake Quant", test_1_ste_fake_quant()))
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+ results.append(("QAT CastedLinear", test_2_qat_castedlinear()))
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+ results.append(("Nuclear-norm Reg", test_3_nuclear_norm_penalty()))
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+ results.append(("Mixed Precision", test_4_mixed_precision_classify()))
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+ results.append(("QAT Quality", test_5_qat_improves_quantized_quality()))
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+
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+ print("\n" + "=" * 60)
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+ print("SUMMARY")
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+ for name, ok in results:
277
+ print(f" {'✓' if ok else '✗'} {name}")
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+ print(f"\n{'All passed!' if all(r[1] for r in results) else 'FAILURES!'}")