From bc35396a64662cd8f57aea5e29a2c6648ecc75f0 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Nicholas=20Kr=C3=A4mer?= <nicokraemer@gmx.net>
Date: Tue, 24 Oct 2023 16:40:03 +0200
Subject: [PATCH] Fix Cholesky-utility-gradients for zero covariances (#669)

* Fix Cholesky-utility-gradients for zero covariances

* Fixed a typo and reran some notebooks
---
 .../neural_ode.ipynb                          | 88 +++++++++----------
 .../physics_enhanced_regression_1.ipynb       | 88 +++++++++----------
 .../conditioning-on-zero-residual.ipynb       | 64 +++++++-------
 .../dynamic_output_scales.ipynb               | 56 ++++++------
 .../posterior_uncertainties.ipynb             | 88 +++++++++----------
 .../second_order_problems.ipynb               | 64 +++++++-------
 docs/examples_solver_config/smoothing.ipynb   | 72 +++++++--------
 docs/getting_started/easy_example.ipynb       | 48 +++++-----
 probdiffeq/util/cholesky_util.py              | 35 +++++++-
 tests/test_util/test_cholesky_util.py         | 38 +++++++-
 10 files changed, 353 insertions(+), 288 deletions(-)

diff --git a/docs/examples_parameter_estimation/neural_ode.ipynb b/docs/examples_parameter_estimation/neural_ode.ipynb
index 45ce0278..bd4e7018 100644
--- a/docs/examples_parameter_estimation/neural_ode.ipynb
+++ b/docs/examples_parameter_estimation/neural_ode.ipynb
@@ -16,10 +16,10 @@
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    "metadata": {
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-     "iopub.status.idle": "2023-09-26T14:10:53.633613Z",
-     "shell.execute_reply": "2023-09-26T14:10:53.632929Z"
+     "iopub.execute_input": "2023-10-24T14:23:41.324965Z",
+     "iopub.status.busy": "2023-10-24T14:23:41.324103Z",
+     "iopub.status.idle": "2023-10-24T14:23:45.562304Z",
+     "shell.execute_reply": "2023-10-24T14:23:45.550625Z"
     },
     "tags": []
    },
@@ -47,10 +47,10 @@
    "id": "0e6c00d9",
    "metadata": {
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-     "iopub.status.busy": "2023-09-26T14:10:53.636578Z",
-     "iopub.status.idle": "2023-09-26T14:10:53.640775Z",
-     "shell.execute_reply": "2023-09-26T14:10:53.640173Z"
+     "iopub.execute_input": "2023-10-24T14:23:45.611481Z",
+     "iopub.status.busy": "2023-10-24T14:23:45.610961Z",
+     "iopub.status.idle": "2023-10-24T14:23:45.646020Z",
+     "shell.execute_reply": "2023-10-24T14:23:45.645018Z"
     },
     "tags": []
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@@ -74,10 +74,10 @@
    "id": "3c0bc75b-65d7-41eb-aea9-9dad2f655500",
    "metadata": {
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-     "iopub.status.idle": "2023-09-26T14:10:53.650505Z",
-     "shell.execute_reply": "2023-09-26T14:10:53.648705Z"
+     "iopub.execute_input": "2023-10-24T14:23:45.650702Z",
+     "iopub.status.busy": "2023-10-24T14:23:45.650044Z",
+     "iopub.status.idle": "2023-10-24T14:23:45.694346Z",
+     "shell.execute_reply": "2023-10-24T14:23:45.693289Z"
     }
    },
    "outputs": [],
@@ -99,10 +99,10 @@
    "id": "5d54ba38",
    "metadata": {
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-     "iopub.status.idle": "2023-09-26T14:10:54.356441Z",
-     "shell.execute_reply": "2023-09-26T14:10:54.355617Z"
+     "iopub.execute_input": "2023-10-24T14:23:45.706714Z",
+     "iopub.status.busy": "2023-10-24T14:23:45.706242Z",
+     "iopub.status.idle": "2023-10-24T14:23:51.053713Z",
+     "shell.execute_reply": "2023-10-24T14:23:51.038812Z"
     },
     "tags": []
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@@ -133,10 +133,10 @@
    "id": "3bf99ac4",
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-     "iopub.status.idle": "2023-09-26T14:10:54.371418Z",
-     "shell.execute_reply": "2023-09-26T14:10:54.369761Z"
+     "iopub.execute_input": "2023-10-24T14:23:51.062719Z",
+     "iopub.status.busy": "2023-10-24T14:23:51.062002Z",
+     "iopub.status.idle": "2023-10-24T14:23:51.069650Z",
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@@ -174,10 +174,10 @@
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-     "iopub.status.idle": "2023-09-26T14:10:54.394318Z",
-     "shell.execute_reply": "2023-09-26T14:10:54.392830Z"
+     "iopub.execute_input": "2023-10-24T14:23:51.074178Z",
+     "iopub.status.busy": "2023-10-24T14:23:51.073790Z",
+     "iopub.status.idle": "2023-10-24T14:23:51.080572Z",
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@@ -212,10 +212,10 @@
    "id": "a3fdf3fb",
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-     "iopub.status.idle": "2023-09-26T14:10:55.428813Z",
-     "shell.execute_reply": "2023-09-26T14:10:55.428085Z"
+     "iopub.execute_input": "2023-10-24T14:23:51.086328Z",
+     "iopub.status.busy": "2023-10-24T14:23:51.085958Z",
+     "iopub.status.idle": "2023-10-24T14:24:33.112592Z",
+     "shell.execute_reply": "2023-10-24T14:24:33.091339Z"
     },
     "tags": []
    },
@@ -242,10 +242,10 @@
    "id": "1c390916",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:55.431568Z",
-     "iopub.status.busy": "2023-09-26T14:10:55.431343Z",
-     "iopub.status.idle": "2023-09-26T14:10:56.563062Z",
-     "shell.execute_reply": "2023-09-26T14:10:56.562361Z"
+     "iopub.execute_input": "2023-10-24T14:24:33.134644Z",
+     "iopub.status.busy": "2023-10-24T14:24:33.133698Z",
+     "iopub.status.idle": "2023-10-24T14:24:49.009400Z",
+     "shell.execute_reply": "2023-10-24T14:24:49.007286Z"
     },
     "tags": []
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@@ -291,10 +291,10 @@
    "id": "e17330c2",
    "metadata": {
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-     "iopub.status.busy": "2023-09-26T14:10:56.565757Z",
-     "iopub.status.idle": "2023-09-26T14:10:56.570013Z",
-     "shell.execute_reply": "2023-09-26T14:10:56.569127Z"
+     "iopub.execute_input": "2023-10-24T14:24:49.018793Z",
+     "iopub.status.busy": "2023-10-24T14:24:49.017816Z",
+     "iopub.status.idle": "2023-10-24T14:24:49.028766Z",
+     "shell.execute_reply": "2023-10-24T14:24:49.027604Z"
     },
     "tags": []
    },
@@ -311,10 +311,10 @@
    "id": "b3f027b2",
    "metadata": {
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-     "shell.execute_reply": "2023-09-26T14:11:07.733216Z"
+     "iopub.execute_input": "2023-10-24T14:24:49.033651Z",
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@@ -514,10 +514,10 @@
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+     "iopub.execute_input": "2023-10-24T14:27:43.425512Z",
+     "iopub.status.busy": "2023-10-24T14:27:43.425098Z",
+     "iopub.status.idle": "2023-10-24T14:27:44.689801Z",
+     "shell.execute_reply": "2023-10-24T14:27:44.688771Z"
     },
     "tags": []
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diff --git a/docs/examples_parameter_estimation/physics_enhanced_regression_1.ipynb b/docs/examples_parameter_estimation/physics_enhanced_regression_1.ipynb
index 1d315712..f11ccdd0 100644
--- a/docs/examples_parameter_estimation/physics_enhanced_regression_1.ipynb
+++ b/docs/examples_parameter_estimation/physics_enhanced_regression_1.ipynb
@@ -21,10 +21,10 @@
    "id": "e39709be",
    "metadata": {
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-     "iopub.execute_input": "2023-09-26T14:11:33.948671Z",
-     "iopub.status.busy": "2023-09-26T14:11:33.946784Z",
-     "iopub.status.idle": "2023-09-26T14:11:35.289713Z",
-     "shell.execute_reply": "2023-09-26T14:11:35.289108Z"
+     "iopub.execute_input": "2023-10-24T14:28:08.389149Z",
+     "iopub.status.busy": "2023-10-24T14:28:08.388610Z",
+     "iopub.status.idle": "2023-10-24T14:28:09.604547Z",
+     "shell.execute_reply": "2023-10-24T14:28:09.603841Z"
     },
     "tags": []
    },
@@ -53,10 +53,10 @@
    "id": "caa2d848",
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-     "iopub.execute_input": "2023-09-26T14:11:35.292204Z",
-     "iopub.status.busy": "2023-09-26T14:11:35.291934Z",
-     "iopub.status.idle": "2023-09-26T14:11:35.295625Z",
-     "shell.execute_reply": "2023-09-26T14:11:35.295112Z"
+     "iopub.execute_input": "2023-10-24T14:28:09.607176Z",
+     "iopub.status.busy": "2023-10-24T14:28:09.606879Z",
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+     "shell.execute_reply": "2023-10-24T14:28:09.610421Z"
     },
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@@ -77,10 +77,10 @@
    "id": "3eba5479-b7fb-400d-a88e-e3bfd655c8d3",
    "metadata": {
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-     "shell.execute_reply": "2023-09-26T14:11:35.304346Z"
+     "iopub.execute_input": "2023-10-24T14:28:09.613200Z",
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+     "shell.execute_reply": "2023-10-24T14:28:09.618723Z"
     }
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    "outputs": [],
@@ -102,10 +102,10 @@
    "id": "2023b8fb-0ce9-4bdd-a8f8-1780d2ddeb78",
    "metadata": {
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-     "shell.execute_reply": "2023-09-26T14:11:35.310752Z"
+     "iopub.execute_input": "2023-10-24T14:28:09.622008Z",
+     "iopub.status.busy": "2023-10-24T14:28:09.621793Z",
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+     "shell.execute_reply": "2023-10-24T14:28:09.625812Z"
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@@ -138,10 +138,10 @@
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+     "iopub.execute_input": "2023-10-24T14:28:09.628391Z",
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@@ -186,10 +186,10 @@
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-     "shell.execute_reply": "2023-09-26T14:11:38.159004Z"
+     "iopub.execute_input": "2023-10-24T14:28:11.773281Z",
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+     "shell.execute_reply": "2023-10-24T14:28:12.391222Z"
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@@ -228,10 +228,10 @@
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-     "shell.execute_reply": "2023-09-26T14:11:38.165587Z"
+     "iopub.execute_input": "2023-10-24T14:28:12.394747Z",
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+     "shell.execute_reply": "2023-10-24T14:28:12.398796Z"
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@@ -264,10 +264,10 @@
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+     "iopub.execute_input": "2023-10-24T14:28:12.402132Z",
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     },
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    },
@@ -302,10 +302,10 @@
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-     "iopub.execute_input": "2023-09-26T14:11:40.149061Z",
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-     "shell.execute_reply": "2023-09-26T14:11:40.152463Z"
+     "iopub.execute_input": "2023-10-24T14:28:14.542712Z",
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+     "shell.execute_reply": "2023-10-24T14:28:14.546379Z"
     },
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@@ -334,10 +334,10 @@
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+     "iopub.execute_input": "2023-10-24T14:28:14.549750Z",
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@@ -385,10 +385,10 @@
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-     "shell.execute_reply": "2023-09-26T14:11:41.730119Z"
+     "iopub.execute_input": "2023-10-24T14:28:15.677977Z",
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+     "shell.execute_reply": "2023-10-24T14:28:16.312704Z"
     },
     "tags": []
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diff --git a/docs/examples_solver_config/conditioning-on-zero-residual.ipynb b/docs/examples_solver_config/conditioning-on-zero-residual.ipynb
index ca715ddb..dc72d8a1 100644
--- a/docs/examples_solver_config/conditioning-on-zero-residual.ipynb
+++ b/docs/examples_solver_config/conditioning-on-zero-residual.ipynb
@@ -16,10 +16,10 @@
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-     "shell.execute_reply": "2023-09-26T14:09:03.312706Z"
+     "iopub.execute_input": "2023-10-24T14:21:41.922958Z",
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+     "shell.execute_reply": "2023-10-24T14:21:42.957355Z"
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@@ -46,10 +46,10 @@
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-     "shell.execute_reply": "2023-09-26T14:09:03.337163Z"
+     "iopub.execute_input": "2023-10-24T14:21:42.966854Z",
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+     "shell.execute_reply": "2023-10-24T14:21:42.981709Z"
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@@ -71,10 +71,10 @@
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@@ -98,10 +98,10 @@
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@@ -132,10 +132,10 @@
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@@ -167,10 +167,10 @@
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@@ -188,10 +188,10 @@
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@@ -217,10 +217,10 @@
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diff --git a/docs/examples_solver_config/dynamic_output_scales.ipynb b/docs/examples_solver_config/dynamic_output_scales.ipynb
index 312a9844..34eb2a9b 100644
--- a/docs/examples_solver_config/dynamic_output_scales.ipynb
+++ b/docs/examples_solver_config/dynamic_output_scales.ipynb
@@ -21,10 +21,10 @@
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@@ -50,10 +50,10 @@
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@@ -73,10 +73,10 @@
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@@ -90,10 +90,10 @@
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@@ -112,10 +112,10 @@
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@@ -135,10 +135,10 @@
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@@ -180,10 +180,10 @@
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diff --git a/docs/examples_solver_config/posterior_uncertainties.ipynb b/docs/examples_solver_config/posterior_uncertainties.ipynb
index e8fc9074..f587fe92 100644
--- a/docs/examples_solver_config/posterior_uncertainties.ipynb
+++ b/docs/examples_solver_config/posterior_uncertainties.ipynb
@@ -14,10 +14,10 @@
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@@ -44,10 +44,10 @@
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@@ -68,10 +68,10 @@
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@@ -95,10 +95,10 @@
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@@ -126,10 +126,10 @@
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@@ -149,10 +149,10 @@
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@@ -183,10 +183,10 @@
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@@ -251,10 +251,10 @@
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@@ -274,10 +274,10 @@
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@@ -299,10 +299,10 @@
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@@ -318,10 +318,10 @@
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diff --git a/docs/examples_solver_config/second_order_problems.ipynb b/docs/examples_solver_config/second_order_problems.ipynb
index 31a0ba55..97486f4d 100644
--- a/docs/examples_solver_config/second_order_problems.ipynb
+++ b/docs/examples_solver_config/second_order_problems.ipynb
@@ -14,10 +14,10 @@
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@@ -44,10 +44,10 @@
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+     "iopub.status.busy": "2023-10-24T14:22:38.112955Z",
+     "iopub.status.idle": "2023-10-24T14:22:38.121885Z",
+     "shell.execute_reply": "2023-10-24T14:22:38.120429Z"
     },
     "tags": []
    },
@@ -75,10 +75,10 @@
    "id": "198cbbb9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:09:56.091729Z",
-     "iopub.status.busy": "2023-09-26T14:09:56.090409Z",
-     "iopub.status.idle": "2023-09-26T14:09:59.405159Z",
-     "shell.execute_reply": "2023-09-26T14:09:59.404206Z"
+     "iopub.execute_input": "2023-10-24T14:22:38.129136Z",
+     "iopub.status.busy": "2023-10-24T14:22:38.128243Z",
+     "iopub.status.idle": "2023-10-24T14:22:41.453825Z",
+     "shell.execute_reply": "2023-10-24T14:22:41.453016Z"
     },
     "tags": []
    },
@@ -109,10 +109,10 @@
    "id": "855b21c6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:09:59.411675Z",
-     "iopub.status.busy": "2023-09-26T14:09:59.411200Z",
-     "iopub.status.idle": "2023-09-26T14:10:02.125035Z",
-     "shell.execute_reply": "2023-09-26T14:10:02.124368Z"
+     "iopub.execute_input": "2023-10-24T14:22:41.456842Z",
+     "iopub.status.busy": "2023-10-24T14:22:41.456583Z",
+     "iopub.status.idle": "2023-10-24T14:22:44.680980Z",
+     "shell.execute_reply": "2023-10-24T14:22:44.680357Z"
     },
     "tags": []
    },
@@ -134,10 +134,10 @@
    "id": "6e216a2d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:02.127791Z",
-     "iopub.status.busy": "2023-09-26T14:10:02.127559Z",
-     "iopub.status.idle": "2023-09-26T14:10:02.691966Z",
-     "shell.execute_reply": "2023-09-26T14:10:02.691374Z"
+     "iopub.execute_input": "2023-10-24T14:22:44.683294Z",
+     "iopub.status.busy": "2023-10-24T14:22:44.683103Z",
+     "iopub.status.idle": "2023-10-24T14:22:45.336712Z",
+     "shell.execute_reply": "2023-10-24T14:22:45.335862Z"
     },
     "tags": []
    },
@@ -175,10 +175,10 @@
    "id": "c863e27b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:02.694250Z",
-     "iopub.status.busy": "2023-09-26T14:10:02.694070Z",
-     "iopub.status.idle": "2023-09-26T14:10:03.879366Z",
-     "shell.execute_reply": "2023-09-26T14:10:03.878751Z"
+     "iopub.execute_input": "2023-10-24T14:22:45.339938Z",
+     "iopub.status.busy": "2023-10-24T14:22:45.339634Z",
+     "iopub.status.idle": "2023-10-24T14:22:46.581077Z",
+     "shell.execute_reply": "2023-10-24T14:22:46.580511Z"
     },
     "tags": []
    },
@@ -219,10 +219,10 @@
    "id": "565da568",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:03.882076Z",
-     "iopub.status.busy": "2023-09-26T14:10:03.881876Z",
-     "iopub.status.idle": "2023-09-26T14:10:06.651588Z",
-     "shell.execute_reply": "2023-09-26T14:10:06.650870Z"
+     "iopub.execute_input": "2023-10-24T14:22:46.583995Z",
+     "iopub.status.busy": "2023-10-24T14:22:46.583804Z",
+     "iopub.status.idle": "2023-10-24T14:22:49.181814Z",
+     "shell.execute_reply": "2023-10-24T14:22:49.181152Z"
     },
     "tags": []
    },
@@ -244,10 +244,10 @@
    "id": "67e1437e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:06.654181Z",
-     "iopub.status.busy": "2023-09-26T14:10:06.653927Z",
-     "iopub.status.idle": "2023-09-26T14:10:06.912912Z",
-     "shell.execute_reply": "2023-09-26T14:10:06.912294Z"
+     "iopub.execute_input": "2023-10-24T14:22:49.184349Z",
+     "iopub.status.busy": "2023-10-24T14:22:49.184155Z",
+     "iopub.status.idle": "2023-10-24T14:22:49.511363Z",
+     "shell.execute_reply": "2023-10-24T14:22:49.510664Z"
     },
     "tags": []
    },
diff --git a/docs/examples_solver_config/smoothing.ipynb b/docs/examples_solver_config/smoothing.ipynb
index c32e6f69..c8da34f6 100644
--- a/docs/examples_solver_config/smoothing.ipynb
+++ b/docs/examples_solver_config/smoothing.ipynb
@@ -17,10 +17,10 @@
    "id": "967b6329",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:22.210694Z",
-     "iopub.status.busy": "2023-09-26T14:10:22.209882Z",
-     "iopub.status.idle": "2023-09-26T14:10:23.190491Z",
-     "shell.execute_reply": "2023-09-26T14:10:23.189066Z"
+     "iopub.execute_input": "2023-10-24T14:23:05.653209Z",
+     "iopub.status.busy": "2023-10-24T14:23:05.651716Z",
+     "iopub.status.idle": "2023-10-24T14:23:07.067209Z",
+     "shell.execute_reply": "2023-10-24T14:23:07.065355Z"
     },
     "tags": []
    },
@@ -47,10 +47,10 @@
    "id": "6f5f444a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:23.201093Z",
-     "iopub.status.busy": "2023-09-26T14:10:23.197953Z",
-     "iopub.status.idle": "2023-09-26T14:10:23.211530Z",
-     "shell.execute_reply": "2023-09-26T14:10:23.210102Z"
+     "iopub.execute_input": "2023-10-24T14:23:07.076315Z",
+     "iopub.status.busy": "2023-10-24T14:23:07.075029Z",
+     "iopub.status.idle": "2023-10-24T14:23:07.091072Z",
+     "shell.execute_reply": "2023-10-24T14:23:07.089715Z"
     },
     "tags": []
    },
@@ -70,10 +70,10 @@
    "id": "85ae6627-ca6f-4905-8906-936dea6e462f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:23.219909Z",
-     "iopub.status.busy": "2023-09-26T14:10:23.219071Z",
-     "iopub.status.idle": "2023-09-26T14:10:23.235969Z",
-     "shell.execute_reply": "2023-09-26T14:10:23.235437Z"
+     "iopub.execute_input": "2023-10-24T14:23:07.099885Z",
+     "iopub.status.busy": "2023-10-24T14:23:07.098618Z",
+     "iopub.status.idle": "2023-10-24T14:23:07.113363Z",
+     "shell.execute_reply": "2023-10-24T14:23:07.112014Z"
     }
    },
    "outputs": [],
@@ -87,10 +87,10 @@
    "id": "f6bd120d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:23.238561Z",
-     "iopub.status.busy": "2023-09-26T14:10:23.238067Z",
-     "iopub.status.idle": "2023-09-26T14:10:24.114232Z",
-     "shell.execute_reply": "2023-09-26T14:10:24.113346Z"
+     "iopub.execute_input": "2023-10-24T14:23:07.118368Z",
+     "iopub.status.busy": "2023-10-24T14:23:07.118089Z",
+     "iopub.status.idle": "2023-10-24T14:23:07.836423Z",
+     "shell.execute_reply": "2023-10-24T14:23:07.835765Z"
     },
     "tags": []
    },
@@ -131,10 +131,10 @@
    "id": "ec7e8aa4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:24.117822Z",
-     "iopub.status.busy": "2023-09-26T14:10:24.117215Z",
-     "iopub.status.idle": "2023-09-26T14:10:25.656957Z",
-     "shell.execute_reply": "2023-09-26T14:10:25.655903Z"
+     "iopub.execute_input": "2023-10-24T14:23:07.838790Z",
+     "iopub.status.busy": "2023-10-24T14:23:07.838607Z",
+     "iopub.status.idle": "2023-10-24T14:23:09.568117Z",
+     "shell.execute_reply": "2023-10-24T14:23:09.567140Z"
     },
     "tags": []
    },
@@ -143,7 +143,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "10.0 [11.866337  2.632529]\n"
+      "10.0 [11.866332   2.6325293]\n"
      ]
     }
    ],
@@ -180,17 +180,17 @@
    "id": "b264a872",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:25.663582Z",
-     "iopub.status.busy": "2023-09-26T14:10:25.663171Z",
-     "iopub.status.idle": "2023-09-26T14:10:29.123883Z",
-     "shell.execute_reply": "2023-09-26T14:10:29.122924Z"
+     "iopub.execute_input": "2023-10-24T14:23:09.573759Z",
+     "iopub.status.busy": "2023-10-24T14:23:09.573140Z",
+     "iopub.status.idle": "2023-10-24T14:23:13.741970Z",
+     "shell.execute_reply": "2023-10-24T14:23:13.741031Z"
     },
     "tags": []
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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",
+      "image/png": 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",
       "text/plain": [
        "<Figure size 500x300 with 1 Axes>"
       ]
@@ -231,17 +231,17 @@
    "id": "f776d0bf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:29.126536Z",
-     "iopub.status.busy": "2023-09-26T14:10:29.126287Z",
-     "iopub.status.idle": "2023-09-26T14:10:32.314093Z",
-     "shell.execute_reply": "2023-09-26T14:10:32.313430Z"
+     "iopub.execute_input": "2023-10-24T14:23:13.746700Z",
+     "iopub.status.busy": "2023-10-24T14:23:13.746503Z",
+     "iopub.status.idle": "2023-10-24T14:23:17.859194Z",
+     "shell.execute_reply": "2023-10-24T14:23:17.858651Z"
     },
     "tags": []
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 800x300 with 2 Axes>"
       ]
@@ -299,17 +299,17 @@
    "id": "431c9466",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:10:32.316979Z",
-     "iopub.status.busy": "2023-09-26T14:10:32.316384Z",
-     "iopub.status.idle": "2023-09-26T14:10:34.475491Z",
-     "shell.execute_reply": "2023-09-26T14:10:34.474317Z"
+     "iopub.execute_input": "2023-10-24T14:23:17.861796Z",
+     "iopub.status.busy": "2023-10-24T14:23:17.861539Z",
+     "iopub.status.idle": "2023-10-24T14:23:19.831429Z",
+     "shell.execute_reply": "2023-10-24T14:23:19.830595Z"
     },
     "tags": []
    },
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 500x300 with 1 Axes>"
       ]
diff --git a/docs/getting_started/easy_example.ipynb b/docs/getting_started/easy_example.ipynb
index bbf0d314..806f213f 100644
--- a/docs/getting_started/easy_example.ipynb
+++ b/docs/getting_started/easy_example.ipynb
@@ -16,10 +16,10 @@
    "id": "e35d8438-49be-4f34-9f20-a01e032a12dc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:08:54.908195Z",
-     "iopub.status.busy": "2023-09-26T14:08:54.907900Z",
-     "iopub.status.idle": "2023-09-26T14:08:55.565269Z",
-     "shell.execute_reply": "2023-09-26T14:08:55.564371Z"
+     "iopub.execute_input": "2023-10-24T14:21:34.778869Z",
+     "iopub.status.busy": "2023-10-24T14:21:34.778622Z",
+     "iopub.status.idle": "2023-10-24T14:21:35.390599Z",
+     "shell.execute_reply": "2023-10-24T14:21:35.388877Z"
     }
    },
    "outputs": [],
@@ -52,10 +52,10 @@
    "id": "31a8ff8d-805c-4e28-8c9c-dad8b8f702ba",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:08:55.569004Z",
-     "iopub.status.busy": "2023-09-26T14:08:55.568670Z",
-     "iopub.status.idle": "2023-09-26T14:08:55.577986Z",
-     "shell.execute_reply": "2023-09-26T14:08:55.577393Z"
+     "iopub.execute_input": "2023-10-24T14:21:35.400365Z",
+     "iopub.status.busy": "2023-10-24T14:21:35.398593Z",
+     "iopub.status.idle": "2023-10-24T14:21:35.465732Z",
+     "shell.execute_reply": "2023-10-24T14:21:35.464989Z"
     }
    },
    "outputs": [],
@@ -95,10 +95,10 @@
    "id": "679df9b8-31fb-45e7-aab0-084530de973b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:08:55.581875Z",
-     "iopub.status.busy": "2023-09-26T14:08:55.581590Z",
-     "iopub.status.idle": "2023-09-26T14:08:55.588392Z",
-     "shell.execute_reply": "2023-09-26T14:08:55.587789Z"
+     "iopub.execute_input": "2023-10-24T14:21:35.469037Z",
+     "iopub.status.busy": "2023-10-24T14:21:35.468758Z",
+     "iopub.status.idle": "2023-10-24T14:21:35.476199Z",
+     "shell.execute_reply": "2023-10-24T14:21:35.475615Z"
     },
     "lines_to_next_cell": 0
    },
@@ -132,10 +132,10 @@
    "id": "2b355d78-35c1-4c83-9bd8-b7308b8b2dc0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:08:55.591787Z",
-     "iopub.status.busy": "2023-09-26T14:08:55.591507Z",
-     "iopub.status.idle": "2023-09-26T14:08:56.227253Z",
-     "shell.execute_reply": "2023-09-26T14:08:56.226568Z"
+     "iopub.execute_input": "2023-10-24T14:21:35.479016Z",
+     "iopub.status.busy": "2023-10-24T14:21:35.478812Z",
+     "iopub.status.idle": "2023-10-24T14:21:36.039912Z",
+     "shell.execute_reply": "2023-10-24T14:21:36.039233Z"
     }
    },
    "outputs": [],
@@ -178,10 +178,10 @@
    "id": "016b0eb4-bd71-4d95-8297-dd30f5abc3d6",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:08:56.229814Z",
-     "iopub.status.busy": "2023-09-26T14:08:56.229598Z",
-     "iopub.status.idle": "2023-09-26T14:08:56.653799Z",
-     "shell.execute_reply": "2023-09-26T14:08:56.653055Z"
+     "iopub.execute_input": "2023-10-24T14:21:36.042914Z",
+     "iopub.status.busy": "2023-10-24T14:21:36.042706Z",
+     "iopub.status.idle": "2023-10-24T14:21:36.407080Z",
+     "shell.execute_reply": "2023-10-24T14:21:36.406456Z"
     }
    },
    "outputs": [],
@@ -217,10 +217,10 @@
    "id": "df4dedf2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2023-09-26T14:08:56.656596Z",
-     "iopub.status.busy": "2023-09-26T14:08:56.656399Z",
-     "iopub.status.idle": "2023-09-26T14:08:58.935385Z",
-     "shell.execute_reply": "2023-09-26T14:08:58.934739Z"
+     "iopub.execute_input": "2023-10-24T14:21:36.410704Z",
+     "iopub.status.busy": "2023-10-24T14:21:36.410479Z",
+     "iopub.status.idle": "2023-10-24T14:21:39.050275Z",
+     "shell.execute_reply": "2023-10-24T14:21:39.049665Z"
     },
     "tags": []
    },
diff --git a/probdiffeq/util/cholesky_util.py b/probdiffeq/util/cholesky_util.py
index 7b40aed8..cc607b57 100644
--- a/probdiffeq/util/cholesky_util.py
+++ b/probdiffeq/util/cholesky_util.py
@@ -48,7 +48,6 @@ def revert_conditional_noisefree(R_X_F, R_X):
     return r_marg, (r_cor, gain)
 
 
-# rename: reparametrise_conditional_correlation?
 def revert_conditional(R_X_F, R_X, R_YX):
     r"""Revert the  square-root correlation in a Gaussian transition kernel.
 
@@ -95,7 +94,11 @@ def revert_conditional(R_X_F, R_X, R_YX):
             [R_X_F, R_X],
         ]
     )
-    R = triu_via_qr(R)
+    # If R_X_F and R_X are zero, but R_YX is not zero, qr(R) can be implemented via
+    # qr(R_YX) and embedding the result in zeros. This is what we do here.
+    # Without this case distinction, reverse-mode derivatives are not defined.
+    cond = jnp.logical_and(jnp.linalg.norm(R_X_F) == 0.0, jnp.linalg.norm(R_X) == 0.0)
+    R = jax.lax.cond(cond, _triu_via_shortcut, lambda a, _b: triu_via_qr(a), R, R_YX)
 
     # ~R_{Y}
     d_out = R_YX.shape[1]
@@ -112,6 +115,20 @@ def revert_conditional(R_X_F, R_X, R_YX):
     return R_Y, (R_XY, G)
 
 
+def _triu_via_shortcut(R, R_YX):
+    """If R_X and R_X_F are zero, triu_via_qr(R) can be implemented cheaply.
+
+    Namely, by applying it only to R_YX and embedding the result in zeros.
+    This is not only more efficient because it requires fewer floating-point operations
+    than qr-decomposing the full matrix, but it also admits a well-defined
+    reverse-mode derivative!
+    """
+    R = jnp.zeros_like(R)
+    R_YX = triu_via_qr(R_YX)
+    n, m = jnp.shape(R_YX)
+    return R.at[:n, :m].set(R_YX)
+
+
 def _is_matrix(mat, matrix_ndim=2):
     return jnp.ndim(mat) == matrix_ndim
 
@@ -146,4 +163,16 @@ def triu_via_qr(R, /):
     # TODO: enforce positive diagonals?
     #  (or expose this option; some equivalence tests might fail
     #   if we always use a positive diagonal.)
-    return jnp.linalg.qr(R, mode="r")
+
+    # Only do something if R is not already triangular.
+    # This distinction may seem unnecessary but is important,
+    # because otherwise, reverse-mode derivatives are not defined!
+    matrix_is_already_triu = jnp.all(jnp.triu(R) == R)
+
+    _nrows, ncols = jnp.shape(R)
+    return jax.lax.cond(
+        matrix_is_already_triu,
+        lambda s: s[:ncols, :ncols],
+        lambda s: jnp.linalg.qr(s, mode="r"),
+        R,
+    )
diff --git a/tests/test_util/test_cholesky_util.py b/tests/test_util/test_cholesky_util.py
index cc0a5f2c..c6c45e19 100644
--- a/tests/test_util/test_cholesky_util.py
+++ b/tests/test_util/test_cholesky_util.py
@@ -4,6 +4,7 @@
 """
 from math import prod
 
+import jax
 import jax.numpy as jnp
 
 from probdiffeq.backend import testing
@@ -13,7 +14,7 @@
 
 
 @testing.parametrize("HCshape, Cshape, Xshape", _SHAPES)
-def test_revert_kernel_scalar(HCshape, Cshape, Xshape):
+def test_revert_conditional(HCshape, Cshape, Xshape):
     HC = _some_array(HCshape) + 1.0
     C = _some_array(Cshape) + 2.0
     X = _some_array(Xshape) + 3.0 + jnp.eye(*Xshape)
@@ -74,3 +75,38 @@ def test_sqrt_sum_square_error():
     c = 5.0 * jnp.eye(2)
     with testing.raises(ValueError, match="scalar"):
         _ = cholesky_util.sqrt_sum_square_scalar(a, b, c)
+
+
+def test_reverse_conditional_jacrev_zero_matrix():
+    """For zero-valued input covariances, reverse-mode gradients need a trick.
+
+    This resolves issue 668.
+    """
+    C = _some_array((3, 3)) * 0.0
+    HC = _some_array((2, 3)) * 0.0
+    X = _some_array((2, 2)) + 3.0 + jnp.eye(2)
+
+    result = jax.jacrev(cholesky_util.revert_conditional)(HC.T, C.T, X.T)
+    is_not_nan = _tree_is_free_of_nans(result)
+    assert is_not_nan
+
+
+def test_sum_of_sqrtm_factors_jacrev_zero_matrix():
+    """For zero-valued input covariances, reverse-mode gradients need a trick.
+
+    This resolves issue 668.
+    """
+    C = _some_array((3, 3)) * 0.0
+    HC = _some_array((3, 2))
+
+    result = jax.jacrev(cholesky_util.sum_of_sqrtm_factors)((C.T, HC.T))
+    is_not_nan = _tree_is_free_of_nans(result)
+    assert is_not_nan
+
+
+def _tree_is_free_of_nans(tree):
+    def contains_no_nan(x):
+        return jnp.logical_not(jnp.any(jnp.isnan(x)))
+
+    tree_contains_no_nan = jax.tree_util.tree_map(contains_no_nan, tree)
+    return jax.tree_util.tree_all(tree_contains_no_nan)