diff --git a/docs/examples/constrained.ipynb b/docs/examples/constrained.ipynb index 086d7e1..ae69795 100644 --- a/docs/examples/constrained.ipynb +++ b/docs/examples/constrained.ipynb @@ -17,7 +17,7 @@ "valid samples for downstream applications.\n", "\n", "**Disadvantages of constraining the flow:** If there are points very close to the\n", - "support boundary, the method for constraining can become unstable. In practice, for most\n", + "support boundary, the method for constraining/unconstraining can become unstable. In practice, for most\n", "applications, this disadvantage can be solved with simple methods, such as applying a\n", "small degree of clipping to the data.\n", "\n", @@ -27,7 +27,7 @@ "x_1 \\sim \\text{Beta}(\\alpha=0.3, \\beta=0.3) \\\\\n", "x_2 \\sim N(x_2; \\mu=(x_1-0.5)^3, \\sigma^2=0.01^2)\n", "$$\n", - "as $x_1$ is beta distributed, it is supported on the interval $[-1, 1]$, whereas $x_2$ is supported on the real line.\n", + "as $x_1$ is beta distributed, it is supported on the interval $[0, 1]$, whereas $x_2$ is supported on the real line.\n", "\n", "Given an initially unbounded flow (i.e. supported on $\\mathbb{R}^2$ ), we consider three methods for fitting\n", "the flow.\n", @@ -48,7 +48,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -74,7 +74,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -89,13 +89,13 @@ "metadata": {}, "source": [ "We can define a bijection to map between the unbounded space and constrained space. \n", - "In this case, we use tanh to map the first dimension to $[-1, 1]$, and the identity\n", + "In this case, we use sigmoid to map the first dimension to $[0, 1]$, and the identity\n", "transformation to leave the second dimension unchanged." ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -115,16 +115,16 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 70/70 [00:05<00:00, 11.70it/s, train=-3.53, val=-3.55]\n", - " 66%|██████▌ | 46/70 [00:03<00:01, 12.48it/s, train=-4.09, val=-3.8 (Max patience reached)]\n", - " 66%|██████▌ | 46/70 [00:03<00:01, 14.41it/s, train=-0.0574, val=-0.314 (Max patience reached)]\n" + "100%|██████████| 70/70 [00:07<00:00, 9.91it/s, train=-3.32, val=-3.43]\n", + " 50%|█████ | 35/70 [00:01<00:01, 18.46it/s, train=-4.08, val=-3.9 (Max patience reached)]\n", + " 50%|█████ | 35/70 [00:01<00:01, 28.88it/s, train=-0.0892, val=-0.01 (Max patience reached)]\n" ] } ], @@ -142,7 +142,7 @@ "flow_no_constraints, losses = fit_to_data(\n", " key=subkey,\n", " dist=unbounded_flow,\n", - " x=x,\n", + " data=x,\n", " learning_rate=5e-3,\n", " max_patience=20,\n", " max_epochs=70,\n", @@ -151,7 +151,7 @@ "# Contraint option 1: Transform the flow to match data support\n", "flow_constrained_1 = Transformed(\n", " unbounded_flow,\n", - " non_trainable(to_constrained) # Ensure constraint not trained!\n", + " non_trainable(to_constrained) # Ensure constraint not trained - doesn't matter here!\n", ")\n", "\n", "# Clip for stability\n", @@ -192,12 +192,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] diff --git a/flowjax/distributions.py b/flowjax/distributions.py index c427aec..64fbc84 100644 --- a/flowjax/distributions.py +++ b/flowjax/distributions.py @@ -339,10 +339,15 @@ class Transformed(AbstractTransformed): >>> bijection = Affine(1) >>> transformed = Transformed(normal, bijection) """ - base_dist: AbstractDistribution bijection: AbstractBijection + # manual init because Pylance doesn't understand AbstractVar + def __init__(self, base_dist: AbstractDistribution, bijection: AbstractBijection): + self.base_dist = base_dist + self.bijection = bijection + + class AbstractLocScaleDistribution(AbstractTransformed): """Abstract distribution class for affine transformed distributions.""" diff --git a/pyproject.toml b/pyproject.toml index f287288..06d1291 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -23,7 +23,7 @@ license = { file = "LICENSE" } name = "flowjax" readme = "README.md" requires-python = ">=3.10" -version = "17.2.0" +version = "17.2.1" [project.urls] repository = "https://github.com/danielward27/flowjax"