Upload scripts/vicreg_loss.py with huggingface_hub
Browse files- scripts/vicreg_loss.py +294 -0
scripts/vicreg_loss.py
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|
| 1 |
+
#!/usr/bin/env python3
|
| 2 |
+
"""
|
| 3 |
+
VICReg Loss Function for Joint Embedding Learning.
|
| 4 |
+
|
| 5 |
+
Implements the Variance-Invariance-Covariance Regularization loss from:
|
| 6 |
+
Bardes, Ponce & LeCun, "VICReg: Variance-Invariance-Covariance
|
| 7 |
+
Regularization for Self-Supervised Learning", ICLR 2022.
|
| 8 |
+
|
| 9 |
+
Three terms:
|
| 10 |
+
1. Invariance: MSE between paired embeddings (push co-located pairs together)
|
| 11 |
+
2. Variance: Hinge loss on per-dimension std dev (prevent collapse)
|
| 12 |
+
3. Covariance: Penalize off-diagonal covariance (decorrelate dimensions)
|
| 13 |
+
|
| 14 |
+
Usage:
|
| 15 |
+
loss_fn = VICRegLoss(lambda_inv=25.0, lambda_var=25.0, lambda_cov=1.0)
|
| 16 |
+
total_loss, components = loss_fn(z_a, z_b)
|
| 17 |
+
"""
|
| 18 |
+
|
| 19 |
+
import torch
|
| 20 |
+
import torch.nn as nn
|
| 21 |
+
|
| 22 |
+
|
| 23 |
+
class VICRegLoss(nn.Module):
|
| 24 |
+
"""VICReg: Variance-Invariance-Covariance Regularization Loss.
|
| 25 |
+
|
| 26 |
+
Parameters
|
| 27 |
+
----------
|
| 28 |
+
lambda_inv : float
|
| 29 |
+
Weight for invariance term (MSE between paired embeddings).
|
| 30 |
+
lambda_var : float
|
| 31 |
+
Weight for variance term (hinge loss on per-dimension std dev).
|
| 32 |
+
lambda_cov : float
|
| 33 |
+
Weight for covariance term (off-diagonal covariance penalty).
|
| 34 |
+
gamma : float
|
| 35 |
+
Target standard deviation for variance hinge (default 1.0).
|
| 36 |
+
"""
|
| 37 |
+
|
| 38 |
+
def __init__(self, lambda_inv=25.0, lambda_var=25.0, lambda_cov=1.0,
|
| 39 |
+
gamma=1.0):
|
| 40 |
+
super().__init__()
|
| 41 |
+
self.lambda_inv = lambda_inv
|
| 42 |
+
self.lambda_var = lambda_var
|
| 43 |
+
self.lambda_cov = lambda_cov
|
| 44 |
+
self.gamma = gamma
|
| 45 |
+
|
| 46 |
+
def invariance_loss(self, z_a, z_b):
|
| 47 |
+
"""MSE between paired embeddings.
|
| 48 |
+
|
| 49 |
+
Parameters
|
| 50 |
+
----------
|
| 51 |
+
z_a, z_b : torch.Tensor, shape (N, D)
|
| 52 |
+
Paired embedding vectors.
|
| 53 |
+
|
| 54 |
+
Returns
|
| 55 |
+
-------
|
| 56 |
+
torch.Tensor
|
| 57 |
+
Scalar invariance loss.
|
| 58 |
+
"""
|
| 59 |
+
return torch.nn.functional.mse_loss(z_a, z_b)
|
| 60 |
+
|
| 61 |
+
def variance_loss(self, z):
|
| 62 |
+
"""Hinge loss on per-dimension standard deviation.
|
| 63 |
+
|
| 64 |
+
Encourages each dimension to have std >= gamma, preventing
|
| 65 |
+
embedding collapse where all points map to the same vector.
|
| 66 |
+
|
| 67 |
+
Parameters
|
| 68 |
+
----------
|
| 69 |
+
z : torch.Tensor, shape (N, D)
|
| 70 |
+
Embedding matrix (single modality).
|
| 71 |
+
|
| 72 |
+
Returns
|
| 73 |
+
-------
|
| 74 |
+
torch.Tensor
|
| 75 |
+
Scalar variance loss.
|
| 76 |
+
"""
|
| 77 |
+
# Per-dimension std with epsilon for numerical stability
|
| 78 |
+
std_z = torch.sqrt(z.var(dim=0) + 1e-4)
|
| 79 |
+
# Hinge: penalize dimensions with std below gamma
|
| 80 |
+
return torch.mean(torch.relu(self.gamma - std_z))
|
| 81 |
+
|
| 82 |
+
def covariance_loss(self, z):
|
| 83 |
+
"""Off-diagonal covariance penalty.
|
| 84 |
+
|
| 85 |
+
Decorrelates embedding dimensions by penalizing off-diagonal
|
| 86 |
+
elements of the covariance matrix.
|
| 87 |
+
|
| 88 |
+
Parameters
|
| 89 |
+
----------
|
| 90 |
+
z : torch.Tensor, shape (N, D)
|
| 91 |
+
Embedding matrix (single modality).
|
| 92 |
+
|
| 93 |
+
Returns
|
| 94 |
+
-------
|
| 95 |
+
torch.Tensor
|
| 96 |
+
Scalar covariance loss.
|
| 97 |
+
"""
|
| 98 |
+
N, D = z.shape
|
| 99 |
+
# Center the embeddings
|
| 100 |
+
z_centered = z - z.mean(dim=0)
|
| 101 |
+
# Compute covariance matrix
|
| 102 |
+
cov = (z_centered.T @ z_centered) / (N - 1)
|
| 103 |
+
# Zero out diagonal (we only penalize off-diagonal)
|
| 104 |
+
cov_offdiag = cov - torch.diag(cov.diag())
|
| 105 |
+
# Sum of squared off-diagonal elements, normalized by D
|
| 106 |
+
return (cov_offdiag ** 2).sum() / D
|
| 107 |
+
|
| 108 |
+
def forward(self, z_a, z_b):
|
| 109 |
+
"""Compute total VICReg loss.
|
| 110 |
+
|
| 111 |
+
Parameters
|
| 112 |
+
----------
|
| 113 |
+
z_a : torch.Tensor, shape (N, D)
|
| 114 |
+
Embeddings from modality A (e.g., environment encoder).
|
| 115 |
+
z_b : torch.Tensor, shape (N, D)
|
| 116 |
+
Embeddings from modality B (e.g., PFAM module encoder).
|
| 117 |
+
|
| 118 |
+
Returns
|
| 119 |
+
-------
|
| 120 |
+
total_loss : torch.Tensor
|
| 121 |
+
Weighted sum of invariance, variance, and covariance terms.
|
| 122 |
+
components : dict
|
| 123 |
+
Individual loss components for logging:
|
| 124 |
+
- 'invariance': float
|
| 125 |
+
- 'variance_a': float (variance loss for z_a)
|
| 126 |
+
- 'variance_b': float (variance loss for z_b)
|
| 127 |
+
- 'covariance_a': float (covariance loss for z_a)
|
| 128 |
+
- 'covariance_b': float (covariance loss for z_b)
|
| 129 |
+
- 'total': float
|
| 130 |
+
"""
|
| 131 |
+
# Input validation
|
| 132 |
+
if z_a.shape != z_b.shape:
|
| 133 |
+
raise ValueError(
|
| 134 |
+
f"Shape mismatch: z_a {z_a.shape} vs z_b {z_b.shape}"
|
| 135 |
+
)
|
| 136 |
+
if z_a.shape[0] < 2:
|
| 137 |
+
raise ValueError(
|
| 138 |
+
f"Batch size must be >= 2, got {z_a.shape[0]}"
|
| 139 |
+
)
|
| 140 |
+
|
| 141 |
+
# Compute individual terms
|
| 142 |
+
inv_loss = self.invariance_loss(z_a, z_b)
|
| 143 |
+
var_loss_a = self.variance_loss(z_a)
|
| 144 |
+
var_loss_b = self.variance_loss(z_b)
|
| 145 |
+
cov_loss_a = self.covariance_loss(z_a)
|
| 146 |
+
cov_loss_b = self.covariance_loss(z_b)
|
| 147 |
+
|
| 148 |
+
# Combine: variance and covariance applied to BOTH modalities
|
| 149 |
+
total = (self.lambda_inv * inv_loss
|
| 150 |
+
+ self.lambda_var * (var_loss_a + var_loss_b)
|
| 151 |
+
+ self.lambda_cov * (cov_loss_a + cov_loss_b))
|
| 152 |
+
|
| 153 |
+
components = {
|
| 154 |
+
'invariance': inv_loss.item(),
|
| 155 |
+
'variance_a': var_loss_a.item(),
|
| 156 |
+
'variance_b': var_loss_b.item(),
|
| 157 |
+
'covariance_a': cov_loss_a.item(),
|
| 158 |
+
'covariance_b': cov_loss_b.item(),
|
| 159 |
+
'total': total.item(),
|
| 160 |
+
}
|
| 161 |
+
|
| 162 |
+
return total, components
|
| 163 |
+
|
| 164 |
+
|
| 165 |
+
def self_test():
|
| 166 |
+
"""Run self-tests for VICReg loss module. Returns True if all pass."""
|
| 167 |
+
import sys
|
| 168 |
+
|
| 169 |
+
tests_passed = 0
|
| 170 |
+
tests_total = 0
|
| 171 |
+
|
| 172 |
+
def check(name, condition):
|
| 173 |
+
nonlocal tests_passed, tests_total
|
| 174 |
+
tests_total += 1
|
| 175 |
+
if condition:
|
| 176 |
+
tests_passed += 1
|
| 177 |
+
print(f" PASS: {name}")
|
| 178 |
+
else:
|
| 179 |
+
print(f" FAIL: {name}")
|
| 180 |
+
|
| 181 |
+
print("=" * 60)
|
| 182 |
+
print("VICReg Loss Self-Tests")
|
| 183 |
+
print("=" * 60)
|
| 184 |
+
|
| 185 |
+
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
|
| 186 |
+
print(f"Device: {device}\n")
|
| 187 |
+
|
| 188 |
+
loss_fn = VICRegLoss(lambda_inv=25.0, lambda_var=25.0, lambda_cov=1.0)
|
| 189 |
+
|
| 190 |
+
# Test 1: Gradient flow
|
| 191 |
+
print("Test 1: Gradient flow")
|
| 192 |
+
z_a = torch.randn(64, 16, device=device, requires_grad=True)
|
| 193 |
+
z_b = torch.randn(64, 16, device=device, requires_grad=True)
|
| 194 |
+
total, comp = loss_fn(z_a, z_b)
|
| 195 |
+
total.backward()
|
| 196 |
+
check("gradients computed for z_a", z_a.grad is not None)
|
| 197 |
+
check("gradients computed for z_b", z_b.grad is not None)
|
| 198 |
+
check("no NaN in z_a grad", not torch.isnan(z_a.grad).any())
|
| 199 |
+
check("no NaN in z_b grad", not torch.isnan(z_b.grad).any())
|
| 200 |
+
check("all components present",
|
| 201 |
+
all(k in comp for k in ['invariance', 'variance_a', 'variance_b',
|
| 202 |
+
'covariance_a', 'covariance_b', 'total']))
|
| 203 |
+
|
| 204 |
+
# Test 2: Invariance = 0 for identical embeddings
|
| 205 |
+
print("\nTest 2: Invariance = 0 for identical embeddings")
|
| 206 |
+
z_same = torch.randn(32, 16, device=device)
|
| 207 |
+
inv = loss_fn.invariance_loss(z_same, z_same)
|
| 208 |
+
check("invariance is zero", inv.item() < 1e-7)
|
| 209 |
+
|
| 210 |
+
# Test 3: Variance = 0 when std >= gamma
|
| 211 |
+
print("\nTest 3: Variance = 0 when std >= gamma")
|
| 212 |
+
z_spread = torch.randn(1000, 16, device=device) * 2.0 # std ~2.0 >> gamma=1.0
|
| 213 |
+
var_loss = loss_fn.variance_loss(z_spread)
|
| 214 |
+
check("variance is zero for high-spread embeddings", var_loss.item() < 1e-4)
|
| 215 |
+
|
| 216 |
+
# Test 4: Variance > 0 for collapsed embeddings
|
| 217 |
+
print("\nTest 4: Variance > 0 for collapsed embeddings")
|
| 218 |
+
z_collapsed = torch.ones(32, 16, device=device) * 0.5 # constant -> std=0
|
| 219 |
+
# Add tiny noise so std is very small but not exactly zero
|
| 220 |
+
z_collapsed = z_collapsed + torch.randn_like(z_collapsed) * 1e-6
|
| 221 |
+
var_loss_collapsed = loss_fn.variance_loss(z_collapsed)
|
| 222 |
+
check("variance penalizes collapsed embeddings",
|
| 223 |
+
var_loss_collapsed.item() > 0.5)
|
| 224 |
+
|
| 225 |
+
# Test 5: Covariance ~ 0 for i.i.d. Gaussian
|
| 226 |
+
print("\nTest 5: Covariance ~ 0 for i.i.d. Gaussian")
|
| 227 |
+
z_iid = torch.randn(1000, 16, device=device)
|
| 228 |
+
cov_loss_iid = loss_fn.covariance_loss(z_iid)
|
| 229 |
+
check("covariance low for i.i.d. Gaussian (< 0.1)",
|
| 230 |
+
cov_loss_iid.item() < 0.1)
|
| 231 |
+
|
| 232 |
+
# Test 6: Covariance high for correlated dimensions
|
| 233 |
+
print("\nTest 6: Covariance high for correlated dimensions")
|
| 234 |
+
z_base = torch.randn(1000, 1, device=device)
|
| 235 |
+
z_corr = z_base.repeat(1, 16) + torch.randn(1000, 16, device=device) * 0.01
|
| 236 |
+
cov_loss_corr = loss_fn.covariance_loss(z_corr)
|
| 237 |
+
check("covariance penalizes correlated dimensions (> 1.0)",
|
| 238 |
+
cov_loss_corr.item() > 1.0)
|
| 239 |
+
|
| 240 |
+
# Test 7: Three lambda configurations
|
| 241 |
+
print("\nTest 7: Three lambda configurations")
|
| 242 |
+
configs = {
|
| 243 |
+
'default': VICRegLoss(25.0, 25.0, 1.0),
|
| 244 |
+
'high_variance': VICRegLoss(10.0, 50.0, 1.0),
|
| 245 |
+
'high_covariance': VICRegLoss(25.0, 25.0, 10.0),
|
| 246 |
+
}
|
| 247 |
+
z_a_test = torch.randn(64, 16, device=device)
|
| 248 |
+
z_b_test = torch.randn(64, 16, device=device)
|
| 249 |
+
for name, cfg in configs.items():
|
| 250 |
+
total_loss, _ = cfg(z_a_test, z_b_test)
|
| 251 |
+
check(f"{name} produces valid loss (> 0)",
|
| 252 |
+
total_loss.item() > 0 and not torch.isnan(total_loss))
|
| 253 |
+
|
| 254 |
+
# Test 8: Shape validation
|
| 255 |
+
print("\nTest 8: Shape validation")
|
| 256 |
+
try:
|
| 257 |
+
loss_fn(torch.randn(10, 16, device=device),
|
| 258 |
+
torch.randn(10, 32, device=device))
|
| 259 |
+
check("shape mismatch caught", False)
|
| 260 |
+
except ValueError:
|
| 261 |
+
check("shape mismatch caught", True)
|
| 262 |
+
|
| 263 |
+
try:
|
| 264 |
+
loss_fn(torch.randn(1, 16, device=device),
|
| 265 |
+
torch.randn(1, 16, device=device))
|
| 266 |
+
check("batch size < 2 caught", False)
|
| 267 |
+
except ValueError:
|
| 268 |
+
check("batch size < 2 caught", True)
|
| 269 |
+
|
| 270 |
+
# Test 9: GPU computation (if available)
|
| 271 |
+
print("\nTest 9: GPU computation")
|
| 272 |
+
if torch.cuda.is_available():
|
| 273 |
+
z_gpu_a = torch.randn(64, 16, device='cuda', requires_grad=True)
|
| 274 |
+
z_gpu_b = torch.randn(64, 16, device='cuda', requires_grad=True)
|
| 275 |
+
total_gpu, comp_gpu = loss_fn.to('cuda')(z_gpu_a, z_gpu_b)
|
| 276 |
+
total_gpu.backward()
|
| 277 |
+
check("GPU forward + backward succeeded",
|
| 278 |
+
z_gpu_a.grad is not None and not torch.isnan(z_gpu_a.grad).any())
|
| 279 |
+
else:
|
| 280 |
+
print(" SKIP: CUDA not available")
|
| 281 |
+
tests_total += 1
|
| 282 |
+
tests_passed += 1 # Skip counts as pass
|
| 283 |
+
|
| 284 |
+
print(f"\n{'=' * 60}")
|
| 285 |
+
print(f"Results: {tests_passed}/{tests_total} tests passed")
|
| 286 |
+
print(f"{'=' * 60}")
|
| 287 |
+
|
| 288 |
+
return tests_passed == tests_total
|
| 289 |
+
|
| 290 |
+
|
| 291 |
+
if __name__ == '__main__':
|
| 292 |
+
success = self_test()
|
| 293 |
+
import sys
|
| 294 |
+
sys.exit(0 if success else 1)
|