{
"cells": [
{
"cell_type": "markdown",
"id": "bf2d88b2-448d-4930-8302-2786c9c0057b",
"metadata": {},
"source": [
"# Evaluators\n",
"\n",
"Coba Evaluators evaluate the performance of Learners in Environments. They have the following interface.\n",
"\n",
"```python\n",
"class Evaluator:\n",
" def evaluate(self, environment: Environment, learner: Learner) -> Iterable[dict]\n",
" ...\n",
"```\n",
"\n",
"Environments and Learners are described in more detail in [Environments.ipynb](Environments.ipynb) and [Learners.ipynb](Learners.ipynb). In this notebook we...\n",
"\n",
"+ ...show how to create your own custom evaluators\n",
"+ ...describe the Evaluators provided by Coba out-of-the-box\n"
]
},
{
"cell_type": "markdown",
"id": "0ca048d1-4376-4077-be5c-b0c5bbbd9c92",
"metadata": {},
"source": [
"## Custom Evaluator\n",
"\n",
"Any class that conforms to the evaluator interface above can be used as an Evalutor in an Experiment. For example,"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f805573a-d6d3-429b-be2f-105593fa30bd",
"metadata": {},
"outputs": [],
"source": [
"class MyEvaluator:\n",
" def evaluate(self, environment, learner):\n",
" yield {'a':1, 'b':2}\n",
" yield {'a':2, 'b':3}"
]
},
{
"cell_type": "markdown",
"id": "c8409cae-cb4d-423c-b9ba-2f5cd61e0929",
"metadata": {},
"source": [
"We can then pass our custom Evaluator to Experiment in order to generate results."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "a6a45114-da10-4fb8-8b9c-c98e061bddb1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2024-02-02 14:37:33 -- Experiment Started\n",
"2024-02-02 14:37:33 -- Recording Learner 0 parameters... (0.0 seconds) (completed)\n",
"2024-02-02 14:37:33 -- Recording Evaluator 0 parameters... (0.0 seconds) (completed)\n",
"2024-02-02 14:37:33 -- Peeking at Environment 0... (0.0 seconds) (completed)\n",
"2024-02-02 14:37:33 -- Recording Environment 0 parameters... (0.0 seconds) (completed)\n",
"2024-02-02 14:37:33 -- Evaluating Learner 0 on Environment 0... (0.0 seconds) (completed)\n",
"2024-02-02 14:37:33 -- Experiment Finished\n"
]
}
],
"source": [
"import coba as cb\n",
"\n",
"env = cb.Environments.from_linear_synthetic(100)\n",
"lrn = cb.RandomLearner()\n",
"val = MyEvaluator()\n",
"\n",
"result = cb.Experiment(env,lrn,val).run()"
]
},
{
"cell_type": "markdown",
"id": "0bd8bbef-f51c-472a-a367-520e411405c7",
"metadata": {},
"source": [
"When we look at the result.evaluators we can see that MyEvaluator was used."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7627bff8-31bf-40a7-b1d7-c057fc3c2a4f",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
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"\n",
"
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" | \n",
" evaluator_id | \n",
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" evaluator_id eval_type\n",
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"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"result.evaluators.to_pandas()"
]
},
{
"cell_type": "markdown",
"id": "530a7e1e-4975-4515-b2c2-f3ac9e800d11",
"metadata": {},
"source": [
"We can also see that the return values from MyEvaluator were stored in result.interactions."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "19a2961b-0d2f-432e-9668-69423d481f67",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"output_type": "execute_result"
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],
"source": [
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},
{
"cell_type": "markdown",
"id": "0913f6f6-35b9-4eda-84aa-d097c1ae2be5",
"metadata": {},
"source": [
"We can even create a custom plot using the interactions produced by MyEvaluator."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "6744eaca-56fd-409b-ac0a-a22a13b31c2d",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"result.plot_learners(x='a',y='b')"
]
},
{
"cell_type": "markdown",
"id": "3ea52911-f41a-4cda-8c8d-5e9a1e1c8849",
"metadata": {},
"source": [
"If more than one Environment/Learner is passed to Experiment our custom Evalautor will be called for all combinations."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "19661bf1-2bfc-4472-b1d5-89bde23b4b19",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"text/plain": [
" environment_id learner_id evaluator_id index a b\n",
"0 0 0 0 1 1 2\n",
"1 0 0 0 2 2 3\n",
"2 0 1 0 1 1 2\n",
"3 0 1 0 2 2 3\n",
"4 1 0 0 1 1 2\n",
"5 1 0 0 2 2 3\n",
"6 1 1 0 1 1 2\n",
"7 1 1 0 2 2 3"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"env = cb.Environments.from_linear_synthetic(100,seed=[1,2])\n",
"lrn = [cb.RandomLearner(seed=1),cb.RandomLearner(seed=2)]\n",
"val = MyEvaluator()\n",
"cb.Experiment(env,lrn,val).run(quiet=True).interactions.to_pandas()"
]
},
{
"cell_type": "markdown",
"id": "8f1ff9c9-e877-4037-bc99-2d556a016d65",
"metadata": {},
"source": [
"To see how a custom Evaluator might work in practice we will now create an online learning Evaluator."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "538f6628-79d2-4dcb-91b0-3d96a4f4bdef",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import coba as cb\n",
"\n",
"class MyOnlineEvaluator:\n",
" def evaluate(self, environment, learner):\n",
" for interaction in environment.read():\n",
" action,prob = learner.predict(interaction['context'],interaction['actions'])\n",
" reward = interaction['rewards'](action)\n",
" learner.learn(interaction['context'],action,reward,prob)\n",
" yield {'reward': reward }\n",
"\n",
"env = cb.Environments.from_linear_synthetic(200,seed=[1,2])\n",
"lrn = [cb.RandomLearner(seed=1),cb.LinUCBLearner()]\n",
"val = MyOnlineEvaluator()\n",
"\n",
"cb.Experiment(env,lrn,val).run(quiet=True).plot_learners()"
]
},
{
"cell_type": "markdown",
"id": "3d2c7f7e-47e1-405e-82c0-425bb28b7add",
"metadata": {},
"source": [
"## Built-in Evaluators\n",
"Coba comes with three built-in evaluators:\n",
"\n",
"1. SequentialCB -- sequential on/off-policy learning/evaluation (default evaluator)\n",
"2. RejectionCB -- sequential on-policy learning/evaluation using logged data\n",
"3. SequentialIGL -- sequential interaction grounded learning/evaluation"
]
},
{
"cell_type": "markdown",
"id": "5103ee46-7b60-47ff-a5b8-52bc9125f007",
"metadata": {},
"source": [
"### On-policy Evaluation without Learning"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "aa619f3c-40db-415a-949b-9a769a7bafc3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import coba as cb\n",
"env = cb.Environments.from_linear_synthetic(100,seed=[1,2])\n",
"lrn = [cb.RandomLearner(),cb.LinUCBLearner()]\n",
"val = cb.SequentialCB(learn=None)\n",
"cb.Experiment(env,lrn,val).run(quiet=True).plot_learners()"
]
},
{
"cell_type": "markdown",
"id": "4119a6df-ec49-4c3d-a6f1-a92624574820",
"metadata": {},
"source": [
"### On-policy Learning without Evaluation"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "c9febacf-0d19-4b1a-95b9-2627630644c7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Feature weights have not been learned\n",
"-------------------------------------\n",
"None\n",
"\n",
"Feature weights have been learned\n",
"---------------------------------\n",
"[ 0.47452277 0.48165662 -0.09730614]\n"
]
}
],
"source": [
"import coba as cb\n",
"env = cb.Environments.from_linear_synthetic(200, n_context_features=0, n_action_features=2, seed=1)\n",
"lrn = cb.LinUCBLearner(features=[1,'a'])\n",
"val = cb.SequentialCB(eval=None)\n",
"\n",
"print(\"Feature weights have not been learned\")\n",
"print(\"-------------------------------------\")\n",
"print(lrn._theta)\n",
"\n",
"cb.Experiment(env,lrn,val).run(quiet=True)\n",
"\n",
"print()\n",
"print(\"Feature weights have been learned\")\n",
"print(\"---------------------------------\")\n",
"print(lrn._theta)\n"
]
},
{
"cell_type": "markdown",
"id": "151b9bef-55df-43ae-82ff-ac6c4306b451",
"metadata": {},
"source": [
"### Off-policy Learning using Reward Estimates"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "fb28bf46-052c-4f11-b889-1475196f83a4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import coba as cb\n",
"env = cb.Environments.from_linear_synthetic(200, n_context_features=0, n_action_features=2, seed=1).logged(cb.RandomLearner())\n",
"lrn = cb.LinUCBLearner(features=[1,'a'])\n",
"val = cb.SequentialCB(learn='dm',eval='on')\n",
"cb.Experiment(env,lrn,val).run(quiet=True).plot_learners(xlim=(3,None))"
]
},
{
"cell_type": "markdown",
"id": "1a89d8d1-cf88-4d13-a11a-c98b3e5e075d",
"metadata": {},
"source": [
"### Off-policy Learning with On-Policy Evaluation"
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "902bba5a-c720-4a7f-9dc0-cb366c0d14b3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import coba as cb\n",
"env = cb.Environments.from_linear_synthetic(200, n_context_features=0, n_action_features=2, seed=1).logged(cb.RandomLearner())\n",
"lrn = cb.LinUCBLearner(features=[1,'a'])\n",
"val = cb.SequentialCB(learn='off',eval='on')\n",
"cb.Experiment(env,lrn,val).run(quiet=True).plot_learners(xlim=(3,None))"
]
},
{
"cell_type": "markdown",
"id": "2076e444-8a6a-42e3-a290-49f06c9c8c9a",
"metadata": {},
"source": [
"### Off-policy Learning with Off-Policy Evaluation"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "2621d04f-4a18-4d40-8dd2-789d90334165",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import coba as cb\n",
"env = cb.Environments.from_linear_synthetic(200, n_context_features=0, n_action_features=2, seed=[1,2,3]).logged(cb.RandomLearner())\n",
"lrn = cb.LinUCBLearner(features=[1,'a'])\n",
"val = cb.SequentialCB(learn='off',eval='ips')\n",
"cb.Experiment(env,lrn,val).run(quiet=True).plot_learners(xlim=(3,None))"
]
}
],
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