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diff --git a/docs/getting_started/02_naive_value_iteration.ipynb b/docs/getting_started/02_naive_value_iteration.ipynb
index 71dbcb9..365d36b 100644
--- a/docs/getting_started/02_naive_value_iteration.ipynb
+++ b/docs/getting_started/02_naive_value_iteration.ipynb
@@ -1,1056 +1,1056 @@
{
- "cells": [
- {
- "cell_type": "markdown",
- "id": "9bdef9ae-fb41-4b72-924b-93077f182178",
- "metadata": {},
- "source": [
- "# Naive value iteration, using a hungry lion\n",
- "We start by creating a model of a lion. Whenever it gets hungry, it will go hunting and hopefully catch a prey. However, if it fails, it might starve to death..."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "id": "7f3692d1-ad64-449d-809c-01ceb84e6bb4",
- "metadata": {},
- "outputs": [
+ "cells": [
{
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "9990ef5a93aa41729419d45003428d66",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "Output()"
+ "cell_type": "markdown",
+ "id": "9bdef9ae-fb41-4b72-924b-93077f182178",
+ "metadata": {},
+ "source": [
+ "# Naive value iteration, using a hungry lion\n",
+ "We start by creating a model of a lion. Whenever it gets hungry, it will go hunting and hopefully catch a prey. However, if it fails, it might starve to death..."
]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "from stormvogel.model import Model, ModelType, Branch, Transition\n",
- "\n",
- "lion = Model(name=\"lion\", model_type=ModelType.MDP)\n",
- "init = lion.get_initial_state()\n",
- "full = lion.new_state(\"full :D\")\n",
- "satisfied = lion.new_state(\"satisfied :)\")\n",
- "hungry = lion.new_state(\"hungry :(\")\n",
- "starving = lion.new_state(\"starving :((\")\n",
- "dead = lion.new_state(\"dead...\")\n",
- "\n",
- "hunt = lion.new_action(\"hunt >:D\")\n",
- "rawr = lion.new_action(\"rawr\")\n",
- "\n",
- "init.set_transitions([(1, satisfied)])\n",
- "\n",
- "full.set_transitions(Transition({\n",
- " hunt: Branch([\n",
- " (0.5, satisfied),\n",
- " (0.5, full),\n",
- " ]),\n",
- " rawr: Branch([\n",
- " (0.9, full),\n",
- " (0.1, satisfied)\n",
- " ])\n",
- "}))\n",
- "\n",
- "satisfied.set_transitions(Transition({\n",
- " hunt: Branch([\n",
- " (0.5, satisfied),\n",
- " (0.3, full),\n",
- " (0.2, hungry)\n",
- " ]),\n",
- " rawr: Branch([\n",
- " (0.9, satisfied),\n",
- " (0.1, hungry)\n",
- " ])\n",
- "}))\n",
- "\n",
- "hungry.set_transitions(Transition({\n",
- " hunt: Branch([\n",
- " (0.2, full),\n",
- " (0.5, satisfied),\n",
- " (0.1, hungry),\n",
- " (0.2, starving)\n",
- " ]),\n",
- " rawr: Branch([\n",
- " (0.9, hungry),\n",
- " (0.1, starving)\n",
- " ])\n",
- "}))\n",
- "\n",
- "starving.set_transitions(Transition({\n",
- " hunt: Branch([\n",
- " (0.1, full),\n",
- " (0.5, satisfied),\n",
- " (0.2, hungry),\n",
- " (0.2, dead)\n",
- " ]),\n",
- " rawr: Branch([\n",
- " (0.9, starving),\n",
- " (0.1, dead)\n",
- " ])\n",
- "}))\n",
- "lion.add_self_loops()\n",
- "\n",
- "from stormvogel.show import show\n",
- "from stormvogel.layout import Layout\n",
- "vis = show(lion, layout=Layout(\"layouts/lion.json\"), name=\"lion\", show_editor=False)"
- ]
- },
- {
- "cell_type": "markdown",
- "id": "1c09fb4a-1fe9-4f76-982a-1eacd0b46a87",
- "metadata": {},
- "source": [
- "Here we provide an implementation of naive value iteration using the model API."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "id": "8807425f-1d69-4522-9077-b902c90bd0b2",
- "metadata": {},
- "outputs": [],
- "source": [
- "import stormvogel.model\n",
- "\n",
- "def naive_value_iteration(\n",
- " model: stormvogel.model.Model, epsilon: float, target_state: stormvogel.model.State\n",
- ") -> list[list[float]]:\n",
- " \"\"\"Run naive value iteration. The result is a 2D list where result[n][m] is the probability to be in state m at step n.\n",
- "\n",
- " Args:\n",
- " model (stormvogel.model.Model): Target model.\n",
- " steps (int): Amount of steps.\n",
- " target_state (stormvogel.model.State): Target state of the model.\n",
- "\n",
- " Returns:\n",
- " list[list[float]]: The result is a 2D list where result[n][m] is the value of state m at iteration n.\n",
- " \"\"\"\n",
- " if epsilon <= 0:\n",
- " RuntimeError(\"The algorithm will not terminate if epsilon is zero.\")\n",
- "\n",
- " # Create a dynamic matrix (list of lists) to store the result.\n",
- " values_matrix = [[0 for state in model.get_states()]]\n",
- " values_matrix[0][target_state.id] = 1\n",
- "\n",
- " terminate = False\n",
- " while not terminate:\n",
- " old_values = values_matrix[len(values_matrix) - 1]\n",
- " new_values = [None for state in model.get_states()]\n",
- " for sid, state in model.get_states().items():\n",
- " transitions = model.get_transitions(state)\n",
- " # Now we have to take a decision for an action.\n",
- " actions = transitions.transition.keys()\n",
- " action_values = {}\n",
- " for action, branch in transitions.transition.items():\n",
- " branch_value = sum([prob * old_values[state.id] for (prob, state) in branch.branch])\n",
- " action_values[action] = branch_value\n",
- " # We take the action with the highest value.\n",
- " highest_value = max(action_values.values())\n",
- " new_values[sid] = highest_value\n",
- " values_matrix.append(new_values)\n",
- " terminate = sum([abs(x-y) for (x, y) in zip(new_values, old_values)]) < epsilon\n",
- " return values_matrix\n",
- " "
- ]
- },
- {
- "cell_type": "markdown",
- "id": "46c998da-b579-4fc8-b385-7b1b07582359",
- "metadata": {},
- "source": [
- "We apply naive value iteration on our lion model with 20 steps. Then we display the result of the as a heatmap, using matplotlib."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "id": "a606dc3e-5d22-45a2-8234-30d3fe8b6bc5",
- "metadata": {},
- "outputs": [
+ },
{
- "data": {
- "image/png": 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",
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