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13 changes: 6 additions & 7 deletions examples/parametrisations.ipynb
Original file line number Diff line number Diff line change
Expand Up @@ -67,7 +67,7 @@
"outputs": [],
"source": [
"class SymmetricParametrization(nn.Module):\n",
" def forward(X):\n",
" def forward(self, X):\n",
" A = X.triu()\n",
" return A + A.T "
]
Expand Down Expand Up @@ -113,9 +113,10 @@
"source": [
"class PruningParametrization(nn.Module):\n",
" def __init__(self, X, p_drop=0.2):\n",
" super().__init__()\n",
" # sample zeros with probability p_drop\n",
" mask = torch.full_like(X, 1.0 - p_drop)\n",
" self.mask = torch.bernoulli(mask)\n",
" self.register_buffer(\"mask\", torch.bernoulli(mask))\n",
"\n",
" def forward(self, X):\n",
" return X * self.mask"
Expand Down Expand Up @@ -313,8 +314,6 @@
" return torch.allclose(X, -X.T)\n",
"\n",
" def right_inverse(self, X):\n",
" if not self.is_skew(X):\n",
" raise ValueError(\"This matirx is not skew-symmetric!\")\n",
" return X.triu(1)\n",
" \n",
"# Skew.forward(Skew.right_inverse(X)) == X\n",
Expand Down Expand Up @@ -347,11 +346,11 @@
" def forward(self, A):\n",
" # Cayley map: (I + A)(I - A)^{-1}\n",
" # This is orthogonal whenever A is skew-symmetric\n",
" Id = torch.eye(A.size(0))\n",
" Id = torch.eye(A.size(0), dtype=A.dtype, device=A.device)\n",
" return self.B @ torch.linalg.solve(Id - A, Id + A)\n",
"\n",
" def is_orthogonal(self, X):\n",
" Id = torch.eye(X.size(0))\n",
" Id = torch.eye(X.size(0), dtype=X.dtype, device=X.device)\n",
" return torch.allclose(X.T @ X, Id, atol=1e-6)\n",
"\n",
" def right_inverse(self, X):\n",
Expand All @@ -362,7 +361,7 @@
" return torch.zeros_like(X)\n",
"\n",
"\n",
"model = nn.Linear(5,5)\n",
"model = nn.Linear(5, 5)\n",
"P.register_parametrization(model, \"weight\", Skew())\n",
"P.register_parametrization(model, \"weight\", Orthogonal(5))\n",
"\n",
Expand Down
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