diff --git a/aehmc/metrics.py b/aehmc/metrics.py index 8f46134..2ae352b 100644 --- a/aehmc/metrics.py +++ b/aehmc/metrics.py @@ -64,7 +64,7 @@ def gaussian_metric( def momentum_generator(srng: RandomStream) -> TensorVariable: norm_samples = srng.normal(0, 1, size=shape) - momentum = dot(norm_samples, mass_matrix_sqrt) + momentum = dot(mass_matrix_sqrt, norm_samples) return momentum def kinetic_energy(momentum: TensorVariable) -> TensorVariable: diff --git a/examples/HMC.ipynb b/examples/HMC.ipynb index e7d9985..9302ec1 100644 --- a/examples/HMC.ipynb +++ b/examples/HMC.ipynb @@ -65,7 +65,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "eb721064", "metadata": {}, "outputs": [], @@ -84,31 +84,19 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "id": "287315f9", "metadata": {}, - "outputs": [ - { - "ename": "NameError", - "evalue": "name 'X' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m y_observed = pm.Normal(\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\"y_observed\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mmu\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mX\u001b[0m \u001b[0;34m@\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0msigma\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnoise\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0mobserved\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'X' is not defined" - ] - } - ], + "outputs": [], "source": [ "with pm.Model() as pymc3_model:\n", " weights = pm.Normal(\"weights\", mu=0, sigma=1)\n", " noise = pm.Gamma(\"noise\", alpha=2, beta=1)\n", " y_observed = pm.Normal(\n", " \"y_observed\",\n", - " mu=X @ weights,\n", + " mu=X_val @ weights,\n", " sigma=noise,\n", - " observed=y,\n", + " observed=y_val,\n", " )" ] }, @@ -124,7 +112,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "id": "c3d77c35", "metadata": {}, "outputs": [], @@ -157,17 +145,17 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "id": "5f79145d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array(-32227.18839188)" + "array(-32290.81274295)" ] }, - "execution_count": 10, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -189,17 +177,17 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 9, "id": "97d5859b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array(-10.81376835)" + "array(-32290.81274295)" ] }, - "execution_count": 11, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -234,7 +222,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 10, "id": "4d853e81", "metadata": {}, "outputs": [], @@ -254,7 +242,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "id": "6729c9d3", "metadata": {}, "outputs": [], @@ -277,19 +265,19 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 12, "id": "34be0a4a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[array([ 3.00280254, -1.64604608]),\n", - " array(-4196.38241395),\n", - " array([1703.66049661, 3868.43841482])]" + "[array([ 3. , -1.56064775]),\n", + " array(140445.88169631),\n", + " array([ -1469.19371149, -283710.23722585])]" ] }, - "execution_count": 14, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -316,7 +304,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "id": "865b2355", "metadata": {}, "outputs": [], @@ -364,7 +352,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "id": "bb7f49e7", "metadata": {}, "outputs": [ @@ -372,8 +360,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 47.3 s, sys: 39.5 ms, total: 47.4 s\n", - "Wall time: 47.8 s\n" + "CPU times: user 47.7 s, sys: 28.8 ms, total: 47.8 s\n", + "Wall time: 48.2 s\n" ] } ], @@ -383,7 +371,7 @@ " srng, hmc.kernel, aeppl_logprob, num_samples=NUM_SAMPLES\n", ")\n", "\n", - "initial_position = np.array([3., np.log(1.5)])\n", + "initial_position = np.array([3., np.log(0.6)])\n", "inverse_mass_matrix = np.array([1., 1.])\n", "position, *_ = trajectory_generator(initial_position, STEP_SIZE, inverse_mass_matrix, NUM_INTEGRATION_STEPS)" ] @@ -398,13 +386,13 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 15, "id": "db1f3960", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -434,10 +422,63 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "id": "c02b9965", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sequential sampling (1 chains in 1 job)\n", + "HamiltonianMC: [noise, weights]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " \n", + " 100.00% [1000/1000 01:25<00:00 Sampling chain 0, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 1 chain for 0 tune and 1_000 draw iterations (0 + 1_000 draws total) took 86 seconds.\n", + "The acceptance probability does not match the target. It is 0.9999986734867055, but should be close to 0.65. Try to increase the number of tuning steps.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "86.00574946399138\n" + ] + } + ], "source": [ "import time \n", "\n", @@ -470,10 +511,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "id": "ec971367", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "posterior_trace = az.from_pymc3(posterior[BURNIN:], model=pymc3_model)\n", "az.plot_trace(posterior_trace);"