From 279612d9288575316d9883f3de6b9d8dd0f7a70e Mon Sep 17 00:00:00 2001 From: marcocuturi Date: Fri, 13 Sep 2024 14:55:29 +0200 Subject: [PATCH 1/2] refactor sinkhorn_divergence --- docs/tutorials/linear/000_One_Sinkhorn.ipynb | 35 +- ...00_sinkhorn_divergence_gradient_flow.ipynb | 29353 ++++++++-------- docs/tutorials/linear/400_Hessians.ipynb | 5 +- docs/tutorials/neural/000_neural_dual.ipynb | 4 +- docs/tutorials/neural/200_Monge_Gap.ipynb | 4 +- docs/tutorials/neural/300_ENOT.ipynb | 4 +- src/ott/tools/progot.py | 4 +- src/ott/tools/sinkhorn_divergence.py | 19 +- tests/neural/methods/monge_gap_test.py | 4 +- tests/problems/linear/potentials_test.py | 17 +- tests/tools/sinkhorn_divergence_test.py | 114 +- 11 files changed, 14779 insertions(+), 14784 deletions(-) diff --git a/docs/tutorials/linear/000_One_Sinkhorn.ipynb b/docs/tutorials/linear/000_One_Sinkhorn.ipynb index 711716d30..f7241c6b4 100644 --- a/docs/tutorials/linear/000_One_Sinkhorn.ipynb +++ b/docs/tutorials/linear/000_One_Sinkhorn.ipynb @@ -8,7 +8,7 @@ "source": [ "# Focus on Sinkhorn\n", "\n", - "We provide in this example a detailed walk-through some of the functionalities of the {class}`~ott.solvers.linear.sinkhorn.Sinkhorn` algorithm, including the computation of {func}`~ott.tools.sinkhorn_divergence.sinkhorn_divergence`." + "We provide in this example a detailed walk-through some of the functionalities of the {class}`~ott.solvers.linear.sinkhorn.Sinkhorn` algorithm and its convenience API packaged in {func}`~ott.solvers.linear.solve`" ] }, { @@ -43,8 +43,7 @@ "from ott import problems\n", "from ott.geometry import geometry, pointcloud\n", "from ott.solvers import linear\n", - "from ott.solvers.linear import acceleration, sinkhorn\n", - "from ott.tools.sinkhorn_divergence import sinkhorn_divergence" + "from ott.solvers.linear import acceleration, sinkhorn" ] }, { @@ -117,7 +116,7 @@ "id": "piPqXHXFN3vy" }, "source": [ - "## Pairwise Sinkhorn divergences\n", + "## Pairwise Sinkhorn\n", "\n", "Before setting a value for `epsilon`, let's get a feel of what the {class}`~ott.geometry.pointcloud.PointCloud` of embeddings looks like in terms of distances." ] @@ -308,7 +307,7 @@ "metadata": {}, "outputs": [], "source": [ - "sink_div_2vmap = jax.jit(\n", + "sink_2vmap = jax.jit(\n", " jax.vmap(jax.vmap(sink, [0] + [None] * 5, 0), [None, 0] + [None] * 4, 1),\n", " static_argnums=[4, 5],\n", ")" @@ -320,7 +319,7 @@ "id": "_wFVc5qWEAJc" }, "source": [ - "Compute now a pairwise $44 \\times 37$ matrix of Sinkhorn divergences (about 1000 divergences in total). We pick 30 different texts twice." + "Compute now a pairwise $44 \\times 37$ matrix of Sinkhorn distances (about 1000 distances in total). We pick 30 different texts twice." ] }, { @@ -365,7 +364,7 @@ }, "outputs": [], "source": [ - "DIV = sink_div_2vmap(HIST_a, HIST_b, cost, 1, 0, 100)" + "DIV = sink_2vmap(HIST_a, HIST_b, cost, 1, 0, 100)" ] }, { @@ -374,7 +373,7 @@ "id": "DTwxN8_IExxD" }, "source": [ - "We now carry out divergence computations and plot their matrix for various `epsilon`." + "We now carry out distance computations and plot their matrix for various `epsilon`." ] }, { @@ -385,14 +384,12 @@ }, "outputs": [], "source": [ - "DIV, ran_in = [], []\n", + "DIS, ran_in = [], []\n", "epsilons = [None, 1e-2, 1e-1]\n", "for epsilon in epsilons:\n", " tic = time.perf_counter()\n", - " DIV.append(\n", - " sink_div_2vmap(\n", - " HIST_a, HIST_b, cost, epsilon, 0, 100\n", - " ).block_until_ready()\n", + " DIS.append(\n", + " sink_2vmap(HIST_a, HIST_b, cost, epsilon, 0, 100).block_until_ready()\n", " )\n", " toc = time.perf_counter()\n", " ran_in.append(toc - tic)" @@ -434,11 +431,11 @@ "fig, axes = plt.subplots(1, 3, figsize=(12, 6))\n", "fig.tight_layout()\n", "axes = [axes[0], axes[1], axes[2]]\n", - "vmin = min([jnp.min(div) for div in DIV])\n", - "vmax = max([jnp.max(div) for div in DIV])\n", + "vmin = min([jnp.min(dis) for dis in DIS])\n", + "vmax = max([jnp.max(dis) for dis in DIS])\n", "\n", - "for epsilon, DIV_, ran_in_, ax_ in zip(epsilons, DIV, ran_in, axes):\n", - " im = ax_.imshow(DIV_, vmin=vmin, vmax=vmax)\n", + "for epsilon, dis, ran_in_, ax_ in zip(epsilons, DIS, ran_in, axes):\n", + " im = ax_.imshow(dis, vmin=vmin, vmax=vmax)\n", " eps = f\" ({geom.epsilon:.4f})\" if epsilon is None else \"\"\n", " ax_.set_title(\n", " r\"$\\varepsilon$ = \" + str(epsilon) + eps + f\"\\n {ran_in_:.2f} s\"\n", @@ -480,7 +477,7 @@ "source": [ "epsilon = 1e-2\n", "# Naive Vmapping\n", - "%time out_1 = DIV = sink_div_2vmap(HIST_a, HIST_b, cost, epsilon, 0, 100).block_until_ready()" + "%time out_1 = sink_2vmap(HIST_a, HIST_b, cost, epsilon, 0, 100).block_until_ready()" ] }, { @@ -506,7 +503,7 @@ ], "source": [ "# Vmapping while forcing the number of iterations to be fixed.\n", - "%time out_2 = DIV = sink_div_2vmap(HIST_a, HIST_b, cost, epsilon, 100, 100).block_until_ready()" + "%time out_2 = sink_2vmap(HIST_a, HIST_b, cost, epsilon, 100, 100).block_until_ready()" ] }, { diff --git a/docs/tutorials/linear/200_sinkhorn_divergence_gradient_flow.ipynb b/docs/tutorials/linear/200_sinkhorn_divergence_gradient_flow.ipynb index 1ac6488d1..84da9d88e 100644 --- a/docs/tutorials/linear/200_sinkhorn_divergence_gradient_flow.ipynb +++ b/docs/tutorials/linear/200_sinkhorn_divergence_gradient_flow.ipynb @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 1, "id": "90ebfcab", "metadata": {}, "outputs": [], @@ -37,7 +37,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 2, "id": "8087b6ab", "metadata": {}, "outputs": [], @@ -75,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 3, "id": "db03521a", "metadata": {}, "outputs": [], @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 100, + "execution_count": 4, "id": "ff7aacfc", "metadata": {}, "outputs": [ @@ -122,7 +122,7 @@ }, { "cell_type": "code", - "execution_count": 101, + "execution_count": 5, "id": "5f6968b4", "metadata": {}, "outputs": [], @@ -156,7 +156,7 @@ }, { "cell_type": "code", - "execution_count": 102, + "execution_count": 6, "id": "ebb666d0", "metadata": {}, "outputs": [], @@ -182,7 +182,7 @@ }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 7, "id": "0ec48336", "metadata": {}, "outputs": [], @@ -204,7 +204,7 @@ }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 8, "id": "efb5370d", "metadata": {}, "outputs": [ @@ -396,42 +396,42 @@ "\n", "\n", "
\n", - " \n", + " \n", "
\n", - " \n", + " oninput=\"anim1504304b4f2c40d7ad14eaf8c8cecb6e.set_frame(parseInt(this.value));\">\n", "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", "
\n", - "
\n", - " \n", - " \n", - " Once\n", + " \n", - " \n", - " Loop\n", + " \n", - " \n", + " \n", "
\n", "
\n", "
\n", @@ -441,9 +441,9 @@ " /* Instantiate the Animation class. */\n", " /* The IDs given should match those used in the template above. */\n", " (function() {\n", - " var img_id = \"_anim_img9c0ab15cb06443f08b791c004758279c\";\n", - " var slider_id = \"_anim_slider9c0ab15cb06443f08b791c004758279c\";\n", - " var loop_select_id = \"_anim_loop_select9c0ab15cb06443f08b791c004758279c\";\n", + " var img_id = \"_anim_img1504304b4f2c40d7ad14eaf8c8cecb6e\";\n", + " var slider_id = \"_anim_slider1504304b4f2c40d7ad14eaf8c8cecb6e\";\n", + " var loop_select_id = \"_anim_loop_select1504304b4f2c40d7ad14eaf8c8cecb6e\";\n", " var frames = new Array(11);\n", " \n", " frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n", @@ -1299,7 +1299,7 @@ "\"\n", " frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n", 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"627271d5", "metadata": {}, "outputs": [ @@ -9431,42 +9430,42 @@ "\n", "\n", "
\n", - " \n", + " \n", "
\n", - " \n", + " oninput=\"anim08dbef55e5154dd8a0e1fd93e8ba9b8c.set_frame(parseInt(this.value));\">\n", "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", "
\n", - "
\n", - " \n", - " \n", - " Once\n", + " \n", - " \n", - " Loop\n", + " \n", - " \n", + " \n", "
\n", "
\n", "
\n", @@ -9476,9 +9475,9 @@ " /* Instantiate the Animation class. */\n", " /* The IDs given should match those used in the template above. */\n", " (function() {\n", - " var img_id = \"_anim_imgae06af039e584784a98e6f8f0643ffe6\";\n", - " var slider_id = \"_anim_sliderae06af039e584784a98e6f8f0643ffe6\";\n", - " var loop_select_id = \"_anim_loop_selectae06af039e584784a98e6f8f0643ffe6\";\n", + " var img_id = \"_anim_img08dbef55e5154dd8a0e1fd93e8ba9b8c\";\n", + " var slider_id = \"_anim_slider08dbef55e5154dd8a0e1fd93e8ba9b8c\";\n", + " var loop_select_id = \"_anim_loop_select08dbef55e5154dd8a0e1fd93e8ba9b8c\";\n", " var frames = new Array(11);\n", " \n", " frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n", @@ -17447,7 +17446,7 @@ " /* set a timeout to make sure all the above elements are created before\n", " the object is initialized. */\n", " setTimeout(function() {\n", - " animae06af039e584784a98e6f8f0643ffe6 = new Animation(frames, img_id, slider_id, 250.0,\n", + " anim08dbef55e5154dd8a0e1fd93e8ba9b8c = new Animation(frames, img_id, slider_id, 250.0,\n", " loop_select_id);\n", " }, 0);\n", " })()\n", @@ -17489,25 +17488,19 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 10, "id": "fbd36652", "metadata": {}, "outputs": [], "source": [ "def sink_div(x, y, epsilon=None):\n", - " \"\"\"Return the Sinkhorn divergence cost and OT output given point clouds.\n", - "\n", - " Since ``y`` is fixed, we can use the flag ``static_b=True`` to avoid\n", - " computing the ``reg_ot_cost(y, y)`` term.\n", - " \"\"\"\n", - " ot = sinkhorn_divergence.sinkhorn_divergence(\n", + " return sinkhorn_divergence.sinkhorn_divergence(\n", " pointcloud.PointCloud,\n", " x=x,\n", " y=y,\n", " epsilon=epsilon,\n", " static_b=True,\n", - " )\n", - " return ot.divergence, ot" + " )" ] }, { @@ -17520,7 +17513,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 11, "id": "fd681b47", "metadata": {}, "outputs": [], @@ -17544,7 +17537,7 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": 12, "id": "3234dd49", "metadata": {}, "outputs": [ @@ -17736,42 +17729,42 @@ "\n", "\n", "
\n", - " \n", + " \n", "
\n", - " \n", + " oninput=\"animf8c9df5ad5874e5496d4faa2a667e920.set_frame(parseInt(this.value));\">\n", "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", "
\n", - "
\n", - " \n", - " \n", - " Once\n", + " \n", - " \n", - " Loop\n", + " \n", - " \n", + " \n", "
\n", "
\n", "
\n", @@ -17781,9 +17774,9 @@ " /* Instantiate the Animation class. */\n", " /* The IDs given should match those used in the template above. */\n", " (function() {\n", - " var img_id = \"_anim_imgb68ba01fb396401185e32b55e1bfce31\";\n", - " var slider_id = \"_anim_sliderb68ba01fb396401185e32b55e1bfce31\";\n", - " var loop_select_id = \"_anim_loop_selectb68ba01fb396401185e32b55e1bfce31\";\n", + " var img_id = \"_anim_imgf8c9df5ad5874e5496d4faa2a667e920\";\n", + " var slider_id = \"_anim_sliderf8c9df5ad5874e5496d4faa2a667e920\";\n", + " var loop_select_id = \"_anim_loop_selectf8c9df5ad5874e5496d4faa2a667e920\";\n", " var frames = new Array(11);\n", " \n", " frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n", @@ -18639,7 +18632,7 @@ "\"\n", " frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n", 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"\"\n", "\n", "\n", " /* set a timeout to make sure all the above elements are created before\n", " the object is initialized. */\n", " setTimeout(function() {\n", - " animb68ba01fb396401185e32b55e1bfce31 = new Animation(frames, img_id, slider_id, 250.0,\n", + " animf8c9df5ad5874e5496d4faa2a667e920 = new Animation(frames, img_id, slider_id, 250.0,\n", " loop_select_id);\n", " }, 0);\n", " })()\n", @@ -27018,7 +27011,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.6" + "version": "3.10.13" } }, "nbformat": 4, diff --git a/docs/tutorials/linear/400_Hessians.ipynb b/docs/tutorials/linear/400_Hessians.ipynb index 0e50ec959..e3207de44 100644 --- a/docs/tutorials/linear/400_Hessians.ipynb +++ b/docs/tutorials/linear/400_Hessians.ipynb @@ -104,7 +104,7 @@ "outputs": [], "source": [ "def loss(a: jnp.ndarray, x: jnp.ndarray, implicit: bool = True) -> float:\n", - " return sinkhorn_divergence.sinkhorn_divergence(\n", + " div, _ = sinkhorn_divergence.sinkhorn_divergence(\n", " pointcloud.PointCloud,\n", " x,\n", " y, # this part defines geometry\n", @@ -114,7 +114,8 @@ " \"implicit_diff\": imp_diff.ImplicitDiff() if implicit else None,\n", " \"use_danskin\": False,\n", " },\n", - " ).divergence" + " )\n", + " return div" ] }, { diff --git a/docs/tutorials/neural/000_neural_dual.ipynb b/docs/tutorials/neural/000_neural_dual.ipynb index 2021eebfb..7fc0cbd01 100644 --- a/docs/tutorials/neural/000_neural_dual.ipynb +++ b/docs/tutorials/neural/000_neural_dual.ipynb @@ -396,10 +396,10 @@ " a = jnp.ones(len(x)) / len(x)\n", " b = jnp.ones(len(y)) / len(y)\n", "\n", - " sdiv = sinkhorn_divergence.sinkhorn_divergence(\n", + " sdiv, _ = sinkhorn_divergence.sinkhorn_divergence(\n", " pointcloud.PointCloud, x, y, epsilon=epsilon, a=a, b=b\n", " )\n", - " return sdiv.divergence" + " return sdiv" ] }, { diff --git a/docs/tutorials/neural/200_Monge_Gap.ipynb b/docs/tutorials/neural/200_Monge_Gap.ipynb index 57a7f62d2..3b5749d15 100644 --- a/docs/tutorials/neural/200_Monge_Gap.ipynb +++ b/docs/tutorials/neural/200_Monge_Gap.ipynb @@ -372,10 +372,10 @@ "\n", " @jax.jit\n", " def fitting_loss(x, y):\n", - " out = sinkhorn_divergence.sinkhorn_divergence(\n", + " div, out = sinkhorn_divergence.sinkhorn_divergence(\n", " pointcloud.PointCloud, x, y, epsilon=epsilon_fitting, static_b=True\n", " )\n", - " return out.divergence, out.n_iters\n", + " return div, out.n_iters\n", "\n", " if cost_fn is None:\n", " regularizer = None\n", diff --git a/docs/tutorials/neural/300_ENOT.ipynb b/docs/tutorials/neural/300_ENOT.ipynb index 26b105164..e1a75f7c8 100644 --- a/docs/tutorials/neural/300_ENOT.ipynb +++ b/docs/tutorials/neural/300_ENOT.ipynb @@ -311,10 +311,10 @@ " a = jnp.ones(len(x)) / len(x)\n", " b = jnp.ones(len(y)) / len(y)\n", "\n", - " sdiv = sinkhorn_divergence.sinkhorn_divergence(\n", + " sdiv, _ = sinkhorn_divergence.sinkhorn_divergence(\n", " pointcloud.PointCloud, x, y, epsilon=epsilon, a=a, b=b\n", " )\n", - " return sdiv.divergence" + " return sdiv" ] }, { diff --git a/src/ott/tools/progot.py b/src/ott/tools/progot.py index 804a90b31..1a256dbe7 100644 --- a/src/ott/tools/progot.py +++ b/src/ott/tools/progot.py @@ -232,12 +232,12 @@ def body_fn(state: ProgOTState, assert state.init_potentials == ( None, None ), "Warm start is not implemented for debiased." - out = _sinkhorn_divergence( + _, out = _sinkhorn_divergence( state.x, y, cost_fn=cost_fn, eps=eps, **kwargs ) eps = out.geoms[0].epsilon else: - out = _sinkhorn( + _, out = _sinkhorn( state.x, y, cost_fn=cost_fn, diff --git a/src/ott/tools/sinkhorn_divergence.py b/src/ott/tools/sinkhorn_divergence.py index f993ca2b3..c71c6272d 100644 --- a/src/ott/tools/sinkhorn_divergence.py +++ b/src/ott/tools/sinkhorn_divergence.py @@ -86,7 +86,7 @@ def sinkhorn_divergence( share_epsilon: bool = True, symmetric_sinkhorn: bool = True, **kwargs: Any, -) -> SinkhornDivergenceOutput: +) -> Tuple[jnp.ndarray, SinkhornDivergenceOutput]: """Compute Sinkhorn divergence defined by a geometry, weights, parameters. Args: @@ -115,7 +115,8 @@ def sinkhorn_divergence( geometry. Returns: - Sinkhorn divergence value, three pairs of potentials, three costs. + Sinkhorn divergence value, in addition to + :class:`~ott.tools.sinkhorn_divergence.SinkhornDivergenceOutput` object. """ geoms = geom.prepare_divergences(*args, static_b=static_b, **kwargs) geom_xy, geom_x, geom_y, *_ = geoms + (None,) * 3 @@ -148,7 +149,7 @@ def _sinkhorn_divergence( b: jnp.ndarray, symmetric_sinkhorn: bool, **kwargs: Any, -) -> SinkhornDivergenceOutput: +) -> Tuple[jnp.ndarray, SinkhornDivergenceOutput]: """Compute the (unbalanced) Sinkhorn divergence for the wrapper function. This definition includes a correction depending on the total masses of each @@ -172,7 +173,8 @@ def _sinkhorn_divergence( kwargs: Keyword arguments to :func:`~ott.solvers.linear.solve`. Returns: - SinkhornDivergenceOutput named tuple. + divergence value and corresponding + :class:`~ott.tools.sinkhorn_divergence.SinkhornDivergenceOutput` object. """ kwargs_symmetric = kwargs.copy() is_low_rank = kwargs.get("rank", -1) > 0 @@ -220,7 +222,7 @@ def _sinkhorn_divergence( pots = tuple((out.f, out.g) for out in (out_xy, out_xx, out_yy)) factors = None - return SinkhornDivergenceOutput( + return div, SinkhornDivergenceOutput( divergence=div, geoms=(geometry_xy, geometry_xx, geometry_yy), a=a, @@ -317,7 +319,7 @@ def segment_sinkhorn_divergence( instance entropy regularization float, scheduler or normalization. Returns: - An array of Sinkhorn divergences for each segment. + An array of Sinkhorn divergence values for each segment. """ # instantiate padding vector dim = x.shape[1] @@ -335,7 +337,7 @@ def eval_fn( ) -> float: mask_x = padded_weight_x > 0.0 mask_y = padded_weight_y > 0.0 - return sinkhorn_divergence( + div, _ = sinkhorn_divergence( pointcloud.PointCloud, padded_x, padded_y, @@ -349,7 +351,8 @@ def eval_fn( src_mask=mask_x, tgt_mask=mask_y, **kwargs - ).divergence + ) + return div return segment._segment_interface( x, diff --git a/tests/neural/methods/monge_gap_test.py b/tests/neural/methods/monge_gap_test.py index b43480b63..8a546d890 100644 --- a/tests/neural/methods/monge_gap_test.py +++ b/tests/neural/methods/monge_gap_test.py @@ -144,11 +144,11 @@ def fitting_loss( mapped_samples: jnp.ndarray, ) -> Optional[float]: r"""Sinkhorn divergence fitting loss.""" - div = sinkhorn_divergence.sinkhorn_divergence( + div, _ = sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, x=samples, y=mapped_samples, - ).divergence + ) return div, None def regularizer(x, y): diff --git a/tests/problems/linear/potentials_test.py b/tests/problems/linear/potentials_test.py index 1bafe966f..94d6562fb 100644 --- a/tests/problems/linear/potentials_test.py +++ b/tests/problems/linear/potentials_test.py @@ -164,12 +164,12 @@ def test_entropic_potentials_sqpnorm( if forward: z = potentials.transport(x_test, forward=forward) - div = sdiv(z, y).divergence + div, _ = sdiv(z, y) else: z = potentials.transport(y_test, forward=forward) - div = sdiv(x, z).divergence + div, _ = sdiv(x, z) - div_0 = sdiv(x, y).divergence + div_0, _ = sdiv(x, y) mult = 0.1 if p > 1.0 else 0.25 # check we have moved points much closer to target assert div < mult * div_0 @@ -210,12 +210,12 @@ def test_entropic_potentials_pnorm( else: if forward: z = potentials.transport(x_test, forward=forward) - div = sdiv(z, y).divergence + div, _ = sdiv(z, y) else: z = potentials.transport(y_test, forward=forward) - div = sdiv(x, z).divergence + div, _ = sdiv(x, z) - div_0 = sdiv(x, y).divergence + div_0, _ = sdiv(x, y) # check we have moved points much closer to target assert div < 0.1 * div_0 @@ -255,9 +255,10 @@ def test_potentials_sinkhorn_divergence(self, rng: jax.Array, eps: float): prob = linear_problem.LinearProblem(geom) sink_pots = sinkhorn.Sinkhorn()(prob).to_dual_potentials() - div_pots = sinkhorn_divergence.sinkhorn_divergence( + _, out = sinkhorn_divergence.sinkhorn_divergence( type(geom), x, y, epsilon=eps - ).to_dual_potentials() + ) + div_pots = out.to_dual_potentials() assert not sink_pots.is_debiased assert div_pots.is_debiased diff --git a/tests/tools/sinkhorn_divergence_test.py b/tests/tools/sinkhorn_divergence_test.py index 39e280c0d..6b0628355 100644 --- a/tests/tools/sinkhorn_divergence_test.py +++ b/tests/tools/sinkhorn_divergence_test.py @@ -68,9 +68,9 @@ def sinkdiv( y = jax.random.uniform(rngs[1], (self._num_points[1], self._dim)) epsilon = 5e-2 - out = jax.jit(sinkdiv)(x, y, cost_fn, epsilon) + div, out = jax.jit(sinkdiv)(x, y, cost_fn, epsilon) - assert out.divergence >= 0.0 + assert div >= 0.0 assert out.is_low_rank == is_low_rank if is_low_rank: assert out.potentials is None @@ -84,10 +84,10 @@ def sinkdiv( assert iters_xx < iters_xy assert iters_yy < iters_xy - grad = jax.jit( - jax.grad(lambda x: sinkdiv(x, y, cost_fn, epsilon).divergence) + grad = jax.jit(jax.grad(sinkdiv, has_aux=True, argnums=0)) + np.testing.assert_array_equal( + jnp.isfinite(grad(x, y, cost_fn, epsilon)[0]), True ) - np.testing.assert_array_equal(jnp.isfinite(grad(x)), True) # Check computation of divergence matches that done separately. geometry_xy = pointcloud.PointCloud(x, y, epsilon=epsilon, cost_fn=cost_fn) @@ -107,7 +107,7 @@ def sinkdiv( np.testing.assert_allclose(out.divergence, div2, rtol=1e-5, atol=1e-5) # Test divergence of x to itself close to 0. - out = sinkhorn_divergence.sinkhorn_divergence( + div, out = sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, x, x, @@ -119,7 +119,7 @@ def sinkdiv( "rank": rank, }, ) - np.testing.assert_allclose(out.divergence, 0.0, rtol=1e-5, atol=1e-5) + np.testing.assert_allclose(div, 0.0, rtol=1e-5, atol=1e-5) iters_xx, iters_xx_sym, _ = out.n_iters if is_low_rank: @@ -133,7 +133,7 @@ def test_euclidean_autoepsilon(self): rngs = jax.random.split(self.rng, 2) cloud_a = jax.random.uniform(rngs[0], (self._num_points[0], self._dim)) cloud_b = jax.random.uniform(rngs[1], (self._num_points[1], self._dim)) - div = sinkhorn_divergence.sinkhorn_divergence( + div, out = sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, cloud_a, cloud_b, @@ -141,16 +141,16 @@ def test_euclidean_autoepsilon(self): b=self._b, sinkhorn_kwargs={"threshold": 1e-2}, ) - assert div.divergence > 0.0 - assert len(div.potentials) == 3 - assert len(div.geoms) == 3 - np.testing.assert_allclose(div.geoms[0].epsilon, div.geoms[1].epsilon) + assert div > 0.0 + assert len(out.potentials) == 3 + assert len(out.geoms) == 3 + np.testing.assert_allclose(out.geoms[0].epsilon, out.geoms[1].epsilon) def test_euclidean_autoepsilon_not_share_epsilon(self): rngs = jax.random.split(self.rng, 2) cloud_a = jax.random.uniform(rngs[0], (self._num_points[0], self._dim)) cloud_b = jax.random.uniform(rngs[1], (self._num_points[1], self._dim)) - div = sinkhorn_divergence.sinkhorn_divergence( + div, out = sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, cloud_a, cloud_b, @@ -159,14 +159,14 @@ def test_euclidean_autoepsilon_not_share_epsilon(self): sinkhorn_kwargs={"threshold": 1e-2}, share_epsilon=False ) - assert jnp.abs(div.geoms[0].epsilon - div.geoms[1].epsilon) > 0 + assert jnp.abs(out.geoms[0].epsilon - out.geoms[1].epsilon) > 0 def test_euclidean_point_cloud_weights_unb(self): rngs = jax.random.split(self.rng, 2) cloud_a = jax.random.uniform(rngs[0], (self._num_points[0], self._dim)) cloud_b = jax.random.uniform(rngs[1], (self._num_points[1], self._dim)) kwargs = {"a": self._a, "b": self._b} - div = sinkhorn_divergence.sinkhorn_divergence( + div, out = sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, cloud_a, cloud_b, @@ -178,9 +178,9 @@ def test_euclidean_point_cloud_weights_unb(self): }, **kwargs ) - assert div.divergence > 0.0 - assert len(div.potentials) == 3 - assert len(div.geoms) == 3 + assert div > 0.0 + assert len(out.potentials) == 3 + assert len(out.geoms) == 3 def test_generic_point_cloud_wrapper(self): rngs = jax.random.split(self.rng, 2) @@ -191,7 +191,7 @@ def test_generic_point_cloud_wrapper(self): cxy = jnp.sum(jnp.abs(x[:, jnp.newaxis] - y[jnp.newaxis, :]) ** 2, axis=2) cxx = jnp.sum(jnp.abs(x[:, jnp.newaxis] - x[jnp.newaxis, :]) ** 2, axis=2) cyy = jnp.sum(jnp.abs(y[:, jnp.newaxis] - y[jnp.newaxis, :]) ** 2, axis=2) - div = sinkhorn_divergence.sinkhorn_divergence( + div, out = sinkhorn_divergence.sinkhorn_divergence( geometry.Geometry, cxy, cxx, @@ -201,12 +201,12 @@ def test_generic_point_cloud_wrapper(self): b=self._b, sinkhorn_kwargs={"threshold": 1e-2}, ) - assert div.divergence > 0.0 - assert len(div.potentials) == 3 - assert len(div.geoms) == 3 + assert div > 0.0 + assert len(out.potentials) == 3 + assert len(out.geoms) == 3 # Tests with 2 cost matrices passed as args - div = sinkhorn_divergence.sinkhorn_divergence( + div, out = sinkhorn_divergence.sinkhorn_divergence( geometry.Geometry, cxy, cxx, @@ -215,12 +215,12 @@ def test_generic_point_cloud_wrapper(self): b=self._b, sinkhorn_kwargs={"threshold": 1e-2}, ) - assert div.divergence > 0.0 - assert len(div.potentials) == 3 - assert len(div.geoms) == 3 + assert div > 0.0 + assert len(out.potentials) == 3 + assert len(out.geoms) == 3 # Tests with 3 cost matrices passed as kwargs - div = sinkhorn_divergence.sinkhorn_divergence( + div, out = sinkhorn_divergence.sinkhorn_divergence( geometry.Geometry, cost_matrix=(cxy, cxx, cyy), epsilon=0.1, @@ -228,9 +228,9 @@ def test_generic_point_cloud_wrapper(self): b=self._b, sinkhorn_kwargs={"threshold": 1e-2}, ) - assert div.divergence > 0.0 - assert len(div.potentials) == 3 - assert len(div.geoms) == 3 + assert div > 0.0 + assert len(out.potentials) == 3 + assert len(out.geoms) == 3 @pytest.mark.parametrize("shuffle", [False, True]) def test_segment_sinkhorn_result(self, shuffle: bool): @@ -240,7 +240,7 @@ def test_segment_sinkhorn_result(self, shuffle: bool): y = jax.random.uniform(rngs[1], (self._num_points[1], self._dim)) geom_kwargs = {"epsilon": 0.01} sinkhorn_kwargs = {"threshold": 1e-2} - true_divergence = sinkhorn_divergence.sinkhorn_divergence( + true_divergence, _ = sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, x, y, @@ -248,7 +248,7 @@ def test_segment_sinkhorn_result(self, shuffle: bool): b=self._b, sinkhorn_kwargs=sinkhorn_kwargs, **geom_kwargs - ).divergence + ) if shuffle: # Now, shuffle the order of both arrays, but @@ -321,7 +321,7 @@ def test_segment_sinkhorn_different_segment_sizes(self): true_divergences = jnp.array([ sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, x, y, epsilon=0.01 - ).divergence for x, y in zip((x1, x2), (y1, y2)) + )[0] for x, y in zip((x1, x2), (y1, y2)) ]) np.testing.assert_allclose( segmented_divergences, true_divergences, rtol=1e-6, atol=1e-6 @@ -353,7 +353,7 @@ def g(rng, n): true_divergences = jnp.array([ sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, x, y, epsilon=epsilon, cost_fn=b_cost - ).divergence for x, y in zip((x1, x2), (y1, y2)) + )[0] for x, y in zip((x1, x2), (y1, y2)) ]) x = jnp.vstack((x1, x2)) @@ -397,7 +397,7 @@ def test_euclidean_momentum_params( cloud_b = jax.random.uniform(rngs[1], (self._num_points[1], self._dim)) sinkhorn_kwargs["threshold"] = threshold - div = sinkhorn_divergence.sinkhorn_divergence( + div, out = sinkhorn_divergence.sinkhorn_divergence( pointcloud.PointCloud, cloud_a, cloud_b, @@ -406,10 +406,10 @@ def test_euclidean_momentum_params( b=self._b, sinkhorn_kwargs=sinkhorn_kwargs, ) - assert div.divergence > 0.0 - assert threshold > div.errors[0][-1] - assert threshold > div.errors[1][-1] - assert threshold > div.errors[2][-1] + assert div > 0.0 + assert threshold > out.errors[0][-1] + assert threshold > out.errors[1][-1] + assert threshold > out.errors[2][-1] class TestSinkhornDivergenceGrad: @@ -429,24 +429,24 @@ def test_gradient_generic_point_cloud_wrapper(self): x = jax.random.uniform(rngs[0], (self._num_points[0], self._dim)) y = jax.random.uniform(rngs[1], (self._num_points[1], self._dim)) - def loss_fn(cloud_a: jnp.ndarray, cloud_b: jnp.ndarray) -> float: - div = sinkhorn_divergence.sinkhorn_divergence( - pointcloud.PointCloud, - cloud_a, - cloud_b, - epsilon=1.0, - a=self._a, - b=self._b, - sinkhorn_kwargs={"threshold": 0.05}, - ) - return div.divergence + loss_fn = lambda x, y: sinkhorn_divergence.sinkhorn_divergence( + geom=pointcloud.PointCloud, + x=x, + y=y, + epsilon=1.0, + a=self._a, + b=self._b, + sinkhorn_kwargs={"threshold": 0.05} + ) delta = jax.random.normal(rngs[2], x.shape) eps = 1e-3 # perturbation magnitude - # first calculation of gradient - loss_and_grad = jax.jit(jax.value_and_grad(loss_fn)) - loss_value, grad_loss = loss_and_grad(x, y) + # automatic differentiation gradient + loss_and_grad = jax.jit( + jax.value_and_grad(loss_fn, has_aux=True, argnums=0) + ) + (loss_value, _), grad_loss = loss_and_grad(x, y) custom_grad = jnp.sum(delta * grad_loss) assert not jnp.isnan(loss_value) @@ -454,8 +454,8 @@ def loss_fn(cloud_a: jnp.ndarray, cloud_b: jnp.ndarray) -> float: np.testing.assert_array_equal(jnp.isnan(grad_loss), False) # second calculation of gradient - loss_delta_plus = loss_fn(x + eps * delta, y) - loss_delta_minus = loss_fn(x - eps * delta, y) + loss_delta_plus, _ = loss_fn(x + eps * delta, y) + loss_delta_minus, _ = loss_fn(x - eps * delta, y) finite_diff_grad = (loss_delta_plus - loss_delta_minus) / (2 * eps) np.testing.assert_allclose( @@ -472,7 +472,7 @@ def test_grid_geometry(self, rng: jax.Array, grid_size: Tuple[int, ...]): b = jax.random.uniform(rng2, shape=gs) b = b / jnp.sum(b) - out = sinkhorn_divergence.sinkhorn_divergence( + div, _ = sinkhorn_divergence.sinkhorn_divergence( grid.Grid, grid_size=gs, a=a, @@ -480,4 +480,4 @@ def test_grid_geometry(self, rng: jax.Array, grid_size: Tuple[int, ...]): epsilon=1e-1, ) - assert jnp.isfinite(out.divergence) + assert jnp.isfinite(div) From e7b8bfd30b4a4791df1027bd51b070798fec109b Mon Sep 17 00:00:00 2001 From: marcocuturi Date: Sun, 15 Sep 2024 10:55:51 +0200 Subject: [PATCH 2/2] comments + slight change in _sinkhorn_divergence --- src/ott/tools/progot.py | 7 ++++--- src/ott/tools/sinkhorn_divergence.py | 13 ++++++------- 2 files changed, 10 insertions(+), 10 deletions(-) diff --git a/src/ott/tools/progot.py b/src/ott/tools/progot.py index 1a256dbe7..c4a538cf4 100644 --- a/src/ott/tools/progot.py +++ b/src/ott/tools/progot.py @@ -232,12 +232,12 @@ def body_fn(state: ProgOTState, assert state.init_potentials == ( None, None ), "Warm start is not implemented for debiased." - _, out = _sinkhorn_divergence( + out = _sinkhorn_divergence( state.x, y, cost_fn=cost_fn, eps=eps, **kwargs ) eps = out.geoms[0].epsilon else: - _, out = _sinkhorn( + out = _sinkhorn( state.x, y, cost_fn=cost_fn, @@ -414,7 +414,7 @@ def _sinkhorn_divergence( eps: Optional[float], **kwargs: Any, ) -> sd.SinkhornDivergenceOutput: - return sd.sinkhorn_divergence( + _, out = sd.sinkhorn_divergence( pointcloud.PointCloud, x, y, @@ -423,6 +423,7 @@ def _sinkhorn_divergence( share_epsilon=False, sinkhorn_kwargs=kwargs, ) + return out def _interpolate( diff --git a/src/ott/tools/sinkhorn_divergence.py b/src/ott/tools/sinkhorn_divergence.py index c71c6272d..bc6b9fb65 100644 --- a/src/ott/tools/sinkhorn_divergence.py +++ b/src/ott/tools/sinkhorn_divergence.py @@ -115,8 +115,7 @@ def sinkhorn_divergence( geometry. Returns: - Sinkhorn divergence value, in addition to - :class:`~ott.tools.sinkhorn_divergence.SinkhornDivergenceOutput` object. + The Sinkhorn divergence value, and output object detailing computations. """ geoms = geom.prepare_divergences(*args, static_b=static_b, **kwargs) geom_xy, geom_x, geom_y, *_ = geoms + (None,) * 3 @@ -130,7 +129,7 @@ def sinkhorn_divergence( a = jnp.ones(num_a) / num_a if a is None else a b = jnp.ones(num_b) / num_b if b is None else b - return _sinkhorn_divergence( + out = _sinkhorn_divergence( geom_xy, geom_x, geom_y, @@ -139,6 +138,7 @@ def sinkhorn_divergence( symmetric_sinkhorn=symmetric_sinkhorn, **sinkhorn_kwargs ) + return out.divergence, out def _sinkhorn_divergence( @@ -149,7 +149,7 @@ def _sinkhorn_divergence( b: jnp.ndarray, symmetric_sinkhorn: bool, **kwargs: Any, -) -> Tuple[jnp.ndarray, SinkhornDivergenceOutput]: +) -> SinkhornDivergenceOutput: """Compute the (unbalanced) Sinkhorn divergence for the wrapper function. This definition includes a correction depending on the total masses of each @@ -173,8 +173,7 @@ def _sinkhorn_divergence( kwargs: Keyword arguments to :func:`~ott.solvers.linear.solve`. Returns: - divergence value and corresponding - :class:`~ott.tools.sinkhorn_divergence.SinkhornDivergenceOutput` object. + The output object """ kwargs_symmetric = kwargs.copy() is_low_rank = kwargs.get("rank", -1) > 0 @@ -222,7 +221,7 @@ def _sinkhorn_divergence( pots = tuple((out.f, out.g) for out in (out_xy, out_xx, out_yy)) factors = None - return div, SinkhornDivergenceOutput( + return SinkhornDivergenceOutput( divergence=div, geoms=(geometry_xy, geometry_xx, geometry_yy), a=a,