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import numpy as np
from tqdm import tqdm
import Visualization as vis
from ModelFactory import ModelType
import Simulation as s
from importlib import reload
def reload_imports():
reload(vis)
reload(s)
MIN_SEED = 96
MAX_SEED = 98
N = 10
K = 2
T = 10000
POSSIBLE_REWARDS = np.asarray([5, 10, 20, 30, 50])
get_reward_probabilities = lambda: np.random.dirichlet(np.ones_like(POSSIBLE_REWARDS))
def average_over_seeds(model_type_list, model_parameters_list, n=N, k=K, t=T, possible_rewards=POSSIBLE_REWARDS,
get_reward_probabilities=get_reward_probabilities,
min_seed=MIN_SEED, max_seed=MAX_SEED):
"""
run simulation for many models, with different seeds and return the required arrays for Visualization.py
plot functions with vis.DATA list_type argument
:param model_type_list: list of ModelType enums, containing the models to run
:param model_parameters_list: list of dictionaries containing parameters for the models in model_type_list
:param n: number of machines
:param k: number of machines to choose each round
:param t: number of trials
:param possible_rewards: list of possible machine rewards
:param get_reward_probabilities: function that returns a list of reward probabilities
:param min_seed: lowest seed to run
:param max_seed: highest seed to run
:return: convergence, reward_sum, distance_from_real_distributions - arrays of tuples, first argument in tuple
is the sim.type and the second is the actual data
"""
convergence_list = np.zeros((len(model_type_list), t - 1))
reward_sums = np.zeros((len(model_type_list), t))
regrets = np.zeros((len(model_type_list), t))
distances = [[] for _ in range(len(model_type_list))]
sim_titles = []
for seed in tqdm(range(min_seed, max_seed + 1)):
optimal_reward = None
cur_rewards = np.zeros_like(reward_sums)
for i, model_type, model_parameters in tqdm(zip(np.arange(len(model_type_list)), model_type_list,
model_parameters_list)):
np.random.seed(seed)
sim = s.Simulation(n, k, t, possible_rewards, get_reward_probabilities, model_type, **model_parameters)
if seed == min_seed:
sim_titles.append(sim.type)
sim.run_simulation()
convergence_list[i, :] += sim.get_convergence_rate()
if sim.type == "Optimal Model":
optimal_reward = sim.get_reward_sum()
cur_rewards[i, :] += sim.get_reward_sum()
reward_sums[i, :] += cur_rewards[i, :]
for j, machine in enumerate(sim.machine_list):
distances[i].append(vis.fr_metric(machine.reward_probabilities,
sim.model.estimated_machine_reward_distribution[j, :]))
regrets[...] += optimal_reward - cur_rewards
convergence_list /= (max_seed - min_seed + 1)
reward_sums /= (max_seed - min_seed + 1)
regrets /= (max_seed - min_seed + 1)
return [(sim_titles[i], convergence_list[i, :]) for i in range(len(model_type_list))], \
[(sim_titles[i], reward_sums[i, :]) for i in range(len(model_type_list))], \
[(sim_titles[i], distances[i]) for i in range(len(model_type_list))], \
[(sim_titles[i], regrets[i]) for i in range(len(model_type_list))]
# %% beta comparison LEG-UCB
model_num = 2
model_type_list = [ModelType.OPTIMAL_BASELINE] + [ModelType.LEG_UCB for _ in range(model_num)]
beta_list = [1, 3]
model_parameters_list = [{}] + [{"beta_handle": b} for b in beta_list]
beta_convergences, beta_rewards, beta_fr_metrics, beta_regret = average_over_seeds(model_type_list,
model_parameters_list)
# %%
vis.plot_average_over_seeds(beta_convergences, beta_rewards, beta_fr_metrics, beta_regret, "LEG-UCB beta comparison")
# %% beta comparison L\AEG-UCB
model_num = 3
model_type_list = [ModelType.OPTIMAL_BASELINE, ModelType.UCB] + [ModelType.AEG_UCB for _ in range(model_num)] + [
ModelType.LEG_UCB for _ in range(model_num)]
beta_list_aeg = np.linspace(0.1, 0.9, model_num)
beta_list_leg = np.linspace(5, 25, model_num)
model_parameters_list = [{}, {}] + [{"beta_handle": b} for b in beta_list_aeg] + [{"beta_handle": b} for b in
beta_list_leg]
beta_convergences, beta_rewards, beta_fr_metrics, beta_regret = average_over_seeds(model_type_list,
model_parameters_list)
vis.plot_average_over_seeds(beta_convergences, beta_rewards, beta_fr_metrics, beta_regret, "UCB VS EG-UCB")
# %% beta comparison L\AEG-UCB
model_num = 3
model_type_list = [ModelType.OPTIMAL_BASELINE, ModelType.TS] + [ModelType.AEG_TS for _ in range(model_num)] + [
ModelType.LEG_TS for _ in range(model_num)]
beta_list_aeg = np.linspace(0.1, 0.9, model_num)
beta_list_leg = np.linspace(5, 25, model_num)
model_parameters_list = [{}, {}] + [{"beta_handle": b} for b in beta_list_aeg] + [{"beta_handle": b} for b in
beta_list_leg]
beta_convergences, beta_rewards, beta_fr_metrics, beta_regret = average_over_seeds(model_type_list,
model_parameters_list)
vis.plot_average_over_seeds(beta_convergences, beta_rewards, beta_fr_metrics, beta_regret, "TS VS EG-TS")
# %% beta comparison AEG-TS
model_num = 10
model_type_list = [ModelType.OPTIMAL_BASELINE] + [ModelType.AEG_TS for _ in range(model_num)]
beta_list = np.linspace(0.1, 0.9, model_num)
model_parameters_list = [{}] + [{"beta_handle": b} for b in beta_list]
beta_convergences, beta_rewards, beta_fr_metrics, beta_regret = average_over_seeds(model_type_list,
model_parameters_list)
vis.plot_average_over_seeds(beta_convergences, beta_rewards, beta_fr_metrics, beta_regret, "AEG-TS beta comparison")
# %%
# %% beta-lambda heatmap comparison
model_type_list = [ModelType.OPTIMAL_BASELINE] + [ModelType.LEG_LH for i in range(9)]
lambda_list = np.linspace(0.28, 0.32, 3)
beta_list = np.linspace(14, 15, lambda_list.size)
# beta_list = lambda_list.copy()
model_parameters_list = [{}] + [{"lambda_handle": i, "beta_handle": j} for i in lambda_list for j
in beta_list]
lambda_beta_convergences, lambda_beta_rewards, lambda_beta_fr_metrics, lambda_beta_regret = average_over_seeds(
model_type_list,
model_parameters_list)
# %%
vis.plot_lambda_beta_surface(beta_list, lambda_list, lambda_beta_rewards[1:], title="Reward Slope")
# %%
vis.plot_lambda_beta_surface(beta_list, lambda_list, lambda_beta_regret[1:], title="Regret Slope")
# %%# %% lambda beta model comparisons
model_type_list = [ModelType.OPTIMAL_BASELINE,
ModelType.LEG_LH,
ModelType.AEG_LH]
model_parameters_list = [{},
{"lambda_handle": .4, "beta_handle": 60},
{"lambda_handle": .4, "beta_handle": 0.5}]
lambda_beta_convergences, lambda_beta_rewards, lambda_beta_fr_metrics, lambda_beta_regret = average_over_seeds(
model_type_list,
model_parameters_list)
vis.plot_average_over_seeds(lambda_beta_convergences, lambda_beta_rewards, lambda_beta_fr_metrics, lambda_beta_regret)
# %% final model comparison
model_type_list = [ModelType.OPTIMAL_BASELINE,
ModelType.LEG_LH,
ModelType.LEG_BH]
model_parameters_list = [{},
{"lambda_handle": .4, "beta_handle": 60},
{"beta_handle": 60, "theta": 0.5}]
lambda_beta_convergences, lambda_beta_rewards, lambda_beta_fr_metrics, lambda_beta_regret = average_over_seeds(
model_type_list,
model_parameters_list)
vis.plot_average_over_seeds(lambda_beta_convergences, lambda_beta_rewards, lambda_beta_fr_metrics, lambda_beta_regret)
# %%
"""
Models:
* Lambda-beta model - add learning rate for beta, decreasing as trials progress
* Stochastic beta modal - change theta according to learning rate as trials progress
regret plot - optimal-model, calculate and show slope
Which comparisons should we make - all comparisons include entropyGain + optimal
* Normal VS entropy
* Lambda with handle changes VS baseline & normal
* Lambda-Beta with handle changes VS baseline & normal
* mean regret over lambda over beta
*
"""
# %%
model_type_list = [ModelType.OPTIMAL_BASELINE,
ModelType.RANDOM_BASELINE,
ModelType.UCB,
ModelType.TS,
ModelType.LH,
ModelType.LEG_BH,
ModelType.LEG_BH,
ModelType.LEG_BH,
ModelType.LEG_BH,
ModelType.LEG_BH]
model_parameters_list = [{},
{},
{},
{},
{"lambda_handle": .5},
{"beta_handle": .1, "theta": .2},
{"beta_handle": .5, "theta": .2},
{"beta_handle": 1, "theta": .2},
{"beta_handle": 15, "theta": .2},
{"beta_handle": 30, "theta": .2}]
lambda_convergences, lambda_rewards, lambda_fr_metrics, lambda_regret = average_over_seeds(model_type_list,
model_parameters_list)
vis.plot_average_over_seeds(lambda_convergences, lambda_rewards, lambda_fr_metrics, lambda_regret)
# %%
model_type_list = [ModelType.OPTIMAL_BASELINE,
ModelType.RANDOM_BASELINE,
ModelType.UCB,
ModelType.TS,
ModelType.LH,
ModelType.LEG_BH,
ModelType.LEG_BH,
ModelType.LEG_BH,
ModelType.LEG_BH,
ModelType.LEG_BH]
model_parameters_list = [{},
{},
{},
{},
{"lambda_handle": .5},
{"beta_handle": .1, "theta": .2},
{"beta_handle": .5, "theta": .2},
{"beta_handle": 1, "theta": .2},
{"beta_handle": 15, "theta": .2},
{"beta_handle": 30, "theta": .2}]
lambda_convergences, lambda_rewards, lambda_fr_metrics, lambda_regret = average_over_seeds(model_type_list,
model_parameters_list)
vis.plot_average_over_seeds(lambda_convergences, lambda_rewards, lambda_fr_metrics, lambda_regret)
# %%
model_type_list = [ModelType.OPTIMAL_BASELINE,
ModelType.RANDOM_BASELINE,
ModelType.UCB,
ModelType.TS,
ModelType.SMART_MODEL,
ModelType.LEG_LH,
ModelType.AEG_LH]
model_parameters_list = [{},
{},
{},
{},
{},
{"lambda_handle": .5, "beta_handle": 15},
{"lambda_handle": .5, "beta_handle": .2}]
convergences, rewards, fr_metrics, regret = average_over_seeds(model_type_list, model_parameters_list)
vis.plot_average_over_seeds(convergences, rewards, fr_metrics, regret, "smart model comparison")