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| import gradio as gr | |
| from gradio.components import Textbox, Slider, Plot | |
| import numpy as np | |
| import matplotlib.pyplot as plt | |
| from tqdm.auto import tqdm | |
| plt.style.use('seaborn-v0_8-whitegrid') | |
| columns = ["difficulty", "stability", "retrievability", "delta_t", | |
| "reps", "lapses", "last_date", "due", "ivl", "cost", "rand"] | |
| col = {key: i for i, key in enumerate(columns)} | |
| first_rating_prob = np.array([0.15, 0.2, 0.6, 0.05]) | |
| def simulate(w, request_retention=0.9, deck_size=10000, learn_span=100, max_cost_perday=200, max_ivl=36500, recall_cost=10, forget_cost=30, learn_cost=10): | |
| card_table = np.zeros((len(columns), deck_size)) | |
| card_table[col["due"]] = learn_span | |
| card_table[col["difficulty"]] = 1e-10 | |
| card_table[col["stability"]] = 1e-10 | |
| review_cnt_per_day = np.zeros(learn_span) | |
| learn_cnt_per_day = np.zeros(learn_span) | |
| memorized_cnt_per_day = np.zeros(learn_span) | |
| def stability_after_success(s, r, d, response): | |
| hard_penalty = np.where(response == 1, w[15], 1) | |
| easy_bonus = np.where(response == 3, w[16], 1) | |
| return s * (1 + np.exp(w[8]) * (11 - d) * np.power(s, -w[9]) * (np.exp((1 - r) * w[10]) - 1) * hard_penalty * easy_bonus) | |
| def stability_after_failure(s, r, d): | |
| return np.maximum(0.1, np.minimum(w[11] * np.power(d, -w[12]) * (np.power(s + 1, w[13]) - 1) * np.exp((1 - r) * w[14]), s)) | |
| for today in tqdm(range(learn_span)): | |
| has_learned = card_table[col["stability"]] > 1e-10 | |
| card_table[col["delta_t"]][has_learned] = today - \ | |
| card_table[col["last_date"]][has_learned] | |
| card_table[col["retrievability"]][has_learned] = np.power( | |
| 1 + card_table[col["delta_t"]][has_learned] / (9 * card_table[col["stability"]][has_learned]), -1) | |
| card_table[col["cost"]] = 0 | |
| need_review = card_table[col["due"]] <= today | |
| card_table[col["rand"]][need_review] = np.random.rand( | |
| np.sum(need_review)) | |
| forget = card_table[col["rand"]] > card_table[col["retrievability"]] | |
| card_table[col["cost"]][need_review & forget] = forget_cost | |
| card_table[col["cost"]][need_review & ~forget] = recall_cost | |
| true_review = need_review & ( | |
| np.cumsum(card_table[col["cost"]]) <= max_cost_perday) | |
| card_table[col["last_date"]][true_review] = today | |
| card_table[col["lapses"]][true_review & forget] += 1 | |
| card_table[col["reps"]][true_review & ~forget] += 1 | |
| card_table[col["stability"]][true_review & forget] = stability_after_failure( | |
| card_table[col["stability"]][true_review & forget], card_table[col["retrievability"]][true_review & forget], card_table[col["difficulty"]][true_review & forget]) | |
| review_ratings = np.random.choice([1, 2, 3], np.sum(true_review & ~forget), p=[0.3, 0.6, 0.1]) | |
| card_table[col["stability"]][true_review & ~forget] = stability_after_success( | |
| card_table[col["stability"]][true_review & ~forget], card_table[col["retrievability"]][true_review & ~forget], card_table[col["difficulty"]][true_review & ~forget], review_ratings) | |
| card_table[col["difficulty"]][true_review & forget] = np.clip( | |
| card_table[col["difficulty"]][true_review & forget] + 2 * w[6], 1, 10) | |
| need_learn = card_table[col["due"]] == learn_span | |
| card_table[col["cost"]][need_learn] = learn_cost | |
| true_learn = need_learn & ( | |
| np.cumsum(card_table[col["cost"]]) <= max_cost_perday) | |
| card_table[col["last_date"]][true_learn] = today | |
| first_ratings = np.random.choice(4, np.sum(true_learn), p=first_rating_prob) | |
| card_table[col["stability"]][true_learn] = np.choose( | |
| first_ratings, w[:4]) | |
| card_table[col["difficulty"]][true_learn] = w[4] - \ | |
| w[5] * (first_ratings - 3) | |
| card_table[col["ivl"]][true_review | true_learn] = np.clip(np.round( | |
| 9 * card_table[col["stability"]][true_review | true_learn] * (1 / request_retention - 1), 0), 1, max_ivl) | |
| card_table[col["due"]][true_review | true_learn] = today + \ | |
| card_table[col["ivl"]][true_review | true_learn] | |
| review_cnt_per_day[today] = np.sum(true_review) | |
| learn_cnt_per_day[today] = np.sum(true_learn) | |
| memorized_cnt_per_day[today] = card_table[col["retrievability"]].sum() | |
| return card_table, review_cnt_per_day, learn_cnt_per_day, memorized_cnt_per_day | |
| def interface_func(weights: str, learning_time: int, learn_span: int, deck_size: int, max_ivl: int, recall_cost: int, forget_cost: int, learn_cost: int, | |
| progress=gr.Progress(track_tqdm=True)): | |
| plt.close('all') | |
| np.random.seed(42) | |
| weights = weights.replace('[', '').replace(']', '') | |
| w = list(map(lambda x: float(x.strip()), weights.split(','))) | |
| max_cost_perday = learning_time * 60 | |
| def moving_average(data, window_size=learn_span//20): | |
| weights = np.ones(window_size) / window_size | |
| return np.convolve(data, weights, mode='valid') | |
| for request_retention in [0.95, 0.9, 0.85, 0.8, 0.75]: | |
| (_, | |
| review_cnt_per_day, | |
| learn_cnt_per_day, | |
| memorized_cnt_per_day) = simulate(w, | |
| request_retention=request_retention, | |
| deck_size=deck_size, | |
| learn_span=learn_span, | |
| max_cost_perday=max_cost_perday, | |
| max_ivl=max_ivl, | |
| recall_cost=recall_cost, | |
| forget_cost=forget_cost, | |
| learn_cost=learn_cost) | |
| plt.figure(1) | |
| plt.plot(moving_average(review_cnt_per_day), | |
| label=f"R={request_retention*100:.0f}%") | |
| plt.title("Review Count per Day") | |
| plt.legend() | |
| plt.figure(2) | |
| plt.plot(moving_average(learn_cnt_per_day), | |
| label=f"R={request_retention*100:.0f}%") | |
| plt.title("Learn Count per Day") | |
| plt.legend() | |
| plt.figure(3) | |
| plt.plot(np.cumsum(learn_cnt_per_day), | |
| label=f"R={request_retention*100:.0f}%") | |
| plt.title("Cumulative Learn Count") | |
| plt.legend() | |
| plt.figure(4) | |
| plt.plot(memorized_cnt_per_day, | |
| label=f"R={request_retention*100:.0f}%") | |
| plt.title("Memorized Count per Day") | |
| plt.legend() | |
| return plt.figure(1), plt.figure(2), plt.figure(3), plt.figure(4) | |
| description = f""" | |
| # FSRS4Anki Simulator | |
| Here is a simulator for FSRS4Anki. It can simulate the learning process of a deck with given weights and parameters. | |
| It will help you to find the expected requestRetention for FSRS4Anki. | |
| The simulator assumes that you spend the same amount of time on Anki every day. | |
| """ | |
| with gr.Blocks() as demo: | |
| with gr.Group(): | |
| gr.Markdown(description) | |
| with gr.Group(): | |
| with gr.Row(): | |
| with gr.Column(): | |
| weights = Textbox(label="Weights", lines=1, | |
| value="0.4, 0.6, 2.4, 5.8, 4.93, 0.94, 0.86, 0.01, 1.49, 0.14, 0.94, 2.18, 0.05, 0.34, 1.26, 0.29, 2.61") | |
| learning_time = Slider(label="Learning Time perday (minutes)", | |
| minimum=5, maximum=1440, step=5, value=30) | |
| learn_span = Slider(label="Learning Period (days)", minimum=30, | |
| maximum=3650, step=10, value=365) | |
| deck_size = Slider(label="Deck Size (cards)", minimum=100, | |
| maximum=100000, step=100, value=10000) | |
| with gr.Column(): | |
| max_ivl = Slider(label="Maximum Interval (days)", minimum=30, | |
| maximum=36500, step=10, value=36500) | |
| recall_cost = Slider(label="Review Cost (seconds)", minimum=1, | |
| maximum=600, step=1, value=10) | |
| forget_cost = Slider(label="Relearn Cost (seconds)", | |
| minimum=1, maximum=600, step=1, value=30) | |
| learn_cost = Slider(label="Learn Cost (seconds)", minimum=1, | |
| maximum=600, step=1, value=10) | |
| with gr.Row(): | |
| btn_plot = gr.Button("Simulate") | |
| with gr.Row(): | |
| with gr.Column(): | |
| review_count = Plot(label="Review Count per Day") | |
| learn_count = Plot(label="Learn Count per Day") | |
| with gr.Column(): | |
| cumulative_learn_count = Plot(label="Cumulative Learn Count") | |
| memorized_count = Plot(label="Memorized Count per Day") | |
| btn_plot.click( | |
| fn=interface_func, | |
| inputs=[weights, | |
| learning_time, | |
| learn_span, | |
| deck_size, | |
| max_ivl, | |
| recall_cost, | |
| forget_cost, | |
| learn_cost, | |
| ], | |
| outputs=[review_count, learn_count, | |
| cumulative_learn_count, memorized_count], | |
| ) | |
| demo.queue().launch(show_error=True) | |