diff --git a/experiments/elo/.gitignore b/experiments/elo/.gitignore index 37467a5fdebb60747ecc0c953087ff65ae282416..d0d2a5f79370c8cd8db890461e090861c8847782 100644 --- a/experiments/elo/.gitignore +++ b/experiments/elo/.gitignore @@ -1,4 +1,4 @@ .env .jobs/ -results/ +results*/ *.jl diff --git a/experiments/elo/BGA Elo.py b/experiments/elo/BGA Elo.py new file mode 100644 index 0000000000000000000000000000000000000000..0659e7bdf1bfec9b712eb727383ecd4ca13e5a20 --- /dev/null +++ b/experiments/elo/BGA Elo.py @@ -0,0 +1,116 @@ +# --- +# jupyter: +# jupytext: +# formats: ipynb,py:percent +# text_representation: +# extension: .py +# format_name: percent +# format_version: '1.3' +# jupytext_version: 1.17.1 +# kernelspec: +# display_name: Python 3 (ipykernel) +# language: python +# name: python3 +# --- + +# %% +import itertools +import jupyter_black +import networkx as nx +import polars as pl +from elo.elo_ratings import RankOrderedLogitElo +from elo.optimal_k import approximate_optimal_k +from tqdm import tqdm + +jupyter_black.load() +pl.Config.set_tbl_rows(100) + +num_matches_regulars = 25 +game_id = 1741 # Ark Nova + +# %% +data = pl.read_ipc(f"results/arrow/matches/{game_id}.arrow", memory_map=False) +num_all_matches = len(data) +data.shape + +# %% +graph = nx.Graph() +for player_ids in tqdm(data["player_ids"]): + graph.add_edges_from(itertools.combinations(player_ids, 2)) +num_all_players = graph.number_of_nodes() +graph.number_of_nodes(), graph.number_of_edges() + +# %% +largest_community = max(nx.connected_components(graph), key=len) +num_players = len(largest_community) +num_players + +# %% +data = data.filter( + pl.col("player_ids").list.eval(pl.element().is_in(largest_community)).list.any() +) +num_matches = len(data) +data.shape + +# %% +data.sample(10) + +# %% +data.describe() + +# %% +players = ( + data.lazy() + .select(pl.col("player_ids").explode().value_counts()) + .unnest("player_ids") +) +player_stats = players.describe( + percentiles=(0.01, 0.05, 0.1, 0.25, 0.5, 0.75, 0.9, 0.95, 0.99) +) +num_matches_max = int(player_stats["count"][-1]) +player_stats + +# %% +num_regular_players = ( + players.filter(pl.col("count") >= num_matches_regulars) + .select(pl.len()) + .collect() + .item() +) +num_regular_players + +# %% +print(f"Number of matches: {num_all_matches} (all) / {num_matches} (connected only)") +print( + f"Number of players: {num_all_players} (all) / {num_players} (connected only) / {num_regular_players} (regulars only)" +) +print(f"Maximum number of plays by a single player: {num_matches_max}") + +# %% +matches = ( + dict(zip(player_ids, payoffs)) + for player_ids, payoffs in zip(data["player_ids"], data["payoffs"]) +) + +# %% +elo = RankOrderedLogitElo() +elo.update_elo_ratings_batch( + matches, + full_results=True, + progress_bar=True, + tqdm_kwargs={"total": len(data)}, +) +len(elo.elo_ratings) + +# %% +sorted(elo.elo_ratings.items(), key=lambda x: -x[1])[:100] + +# %% +# This will take very very long if there's a large number of matches +optimal_k = approximate_optimal_k( + matches=matches, + min_elo_k=0, + max_elo_k=200, + elo_scale=400, +) +optimal_k diff --git a/experiments/elo/K investigations.py b/experiments/elo/K investigations.py new file mode 100644 index 0000000000000000000000000000000000000000..c865feccfb0b84f464a9daad6dc9f26bd1e8b94c --- /dev/null +++ b/experiments/elo/K investigations.py @@ -0,0 +1,77 @@ +# --- +# jupyter: +# jupytext: +# formats: ipynb,py:percent +# text_representation: +# extension: .py +# format_name: percent +# format_version: '1.3' +# jupytext_version: 1.17.1 +# kernelspec: +# display_name: Python 3 (ipykernel) +# language: python +# name: python3 +# --- + +# %% +import jupyter_black +import numpy as np +import polars as pl +import seaborn as sns +from matplotlib import pyplot as plt +from scipy.optimize import curve_fit + +jupyter_black.load() + +# %% +data = ( + pl.scan_csv("results/p_deterministic*.csv") + # .filter(pl.col("num_matches") > 1000) + .with_columns(matches_per_player=pl.col("num_matches") / pl.col("num_players")) + .sort("p_deterministic") + .collect() +) +data.shape + + +# %% +def power_law(x: np.ndarray, a: float, b: float, c: float) -> np.ndarray: + return a / (x**b) + c + + +def fit_and_plot(data): + data = data.filter(pl.col("matches_per_player") > 10) + + if len(data) < 10: + print(f"Only {len(data)} row(s) provided, skipping…") + return + + x = data["matches_per_player"].to_numpy() + y = data["elo_k"].to_numpy() + popt, pcov = curve_fit(power_law, x, y, bounds=(0, np.inf)) + a, b, c = popt + print(f"Fitted parameters: a={a:.4f}, b={b:.4f}, c={c:.4f}") + x_fit = np.linspace(x.min(), x.max(), 100) + y_fit = power_law(x_fit, *popt) + + _, ax = plt.subplots() + sns.scatterplot( + data=data, + x="matches_per_player", + y="elo_k", + hue="players_per_match", + size="num_players", + ax=ax, + ) + sns.lineplot(x=x_fit, y=y_fit, ax=ax) + + return ax + + +# %% +for (p_deterministic,), group in data.group_by("p_deterministic", maintain_order=True): + print(f"{p_deterministic=}") + fit_and_plot(group) + plt.show() + +# %% diff --git a/experiments/elo/Matches.py b/experiments/elo/Matches.py new file mode 100644 index 0000000000000000000000000000000000000000..528af25776bbfe1465b2f2230dd4d0765cf532f8 --- /dev/null +++ b/experiments/elo/Matches.py @@ -0,0 +1,68 @@ +# --- +# jupyter: +# jupytext: +# formats: ipynb,py:percent +# text_representation: +# extension: .py +# format_name: percent +# format_version: '1.3' +# jupytext_version: 1.17.0 +# kernelspec: +# display_name: Python 3 (ipykernel) +# language: python +# name: python3 +# --- + +# %% +import jupyter_black +import polars as pl + +jupyter_black.load() +pl.Config.set_tbl_rows(100) +seed = 13 + +# %% +matches = ( + pl.scan_ndjson("matches.jl") + .drop("id", "scraped_at") + .with_columns(pl.col("timestamp").cast(pl.Int64)) + .with_columns( + pl.from_epoch("timestamp").dt.convert_time_zone(time_zone="UTC"), + num_players=pl.col("players").list.len(), + ) + .filter(pl.col("num_players") > 1) + .filter( + pl.col("players") + .list.eval(pl.element().struct.field("place").is_not_null()) + .list.all() + ) +) + +# %% +matches.head(10).collect() + +# %% +games_info = pl.scan_ndjson("games.jl").select( + pl.col("id").alias("game_id"), + pl.col("name").alias("game_slug"), + "bgg_id", + "display_name_en", + "games_played", +) +games_matches = matches.group_by("game_id").agg( + num_matches=pl.len(), + min_players=pl.col("num_players").min(), + max_players=pl.col("num_players").max(), + first=pl.col("timestamp").min(), + last=pl.col("timestamp").max(), +) +all_games = games_info.join(games_matches, on="game_id", how="full").collect() +all_games.shape + +# %% +all_games.describe() + +# %% +all_games.filter(pl.col("min_players") == 2).filter( + pl.col("max_players") == 2 +).describe() diff --git a/experiments/elo/Process matches.py b/experiments/elo/Process matches.py new file mode 100644 index 0000000000000000000000000000000000000000..5a1e6bb47d93baff84bc64327a26e911cb7eb8ff --- /dev/null +++ b/experiments/elo/Process matches.py @@ -0,0 +1,101 @@ +# --- +# jupyter: +# jupytext: +# formats: ipynb,py:percent +# text_representation: +# extension: .py +# format_name: percent +# format_version: '1.3' +# jupytext_version: 1.17.1 +# kernelspec: +# display_name: Python 3 (ipykernel) +# language: python +# name: python3 +# --- + +# %% +import jupyter_black +import polars as pl +from datetime import datetime +from itertools import batched +from pathlib import Path +from tqdm import tqdm + +jupyter_black.load() +pl.Config.set_tbl_rows(100) + +# %% +in_dir = Path("results").resolve() +out_dir = in_dir / "arrow" +match_dir = out_dir / "matches" +out_dir.mkdir(parents=True, exist_ok=True) +match_dir.mkdir(parents=True, exist_ok=True) +in_dir, out_dir, match_dir + +# %% +file_batch_size = 10 +ts = datetime.now().replace(microsecond=0).isoformat().replace(":", "-") +suffix = f"{ts}-euler-" +file_batch_size, suffix + +# %% +schema = { + "id": pl.String, + "timestamp": pl.String, + "game_id": pl.Int64, + "players": pl.List( + pl.Struct( + { + "player_id": pl.Int64, + "place": pl.Int64, + "score": pl.Float64, + } + ) + ), + "scraped_at": pl.String, +} + +# %% +for i, batch in enumerate(batched(tqdm(in_dir.glob("matches-*.jl")), file_batch_size)): + df = ( + pl.scan_ndjson(list(batch), schema=schema) + .with_columns( + pl.col("id").cast(pl.Int64), + pl.col("timestamp").cast(pl.Int64), + ) + .with_columns( + pl.from_epoch("timestamp").dt.convert_time_zone(time_zone="UTC"), + pl.col("scraped_at").str.to_datetime(time_zone="UTC"), + ) + ) + df.sink_ipc(out_dir / f"matches-{suffix}{i:05d}.arrow") + +# %% +matches = pl.scan_ipc(out_dir / "matches-*.arrow") +game_ids = matches.select(pl.col("game_id").unique()).collect()["game_id"] +game_ids.shape + +# %% +for game_id in tqdm(game_ids): + match_data = ( + matches.filter(pl.col("game_id") == game_id) + .sort("scraped_at", "timestamp") + .unique("id", keep="first") + .select( + num_players=pl.col("players").list.len(), + player_ids=pl.col("players").list.eval( + pl.element().struct.field("player_id") + ), + places=pl.col("players").list.eval(pl.element().struct.field("place")), + ) + .filter(pl.col("num_players") >= 2) + .filter(pl.col("player_ids").list.eval(pl.element().is_not_null()).list.all()) + .filter( + pl.col("places") + .list.eval(pl.element().is_not_null() & (pl.element() >= 1)) + .list.all() + ) + .with_columns(payoffs=pl.col("places").list.eval(pl.len() - pl.element())) + .filter(pl.col("payoffs").list.eval(pl.element() >= 0).list.all()) + ) + match_data.sink_ipc(match_dir / f"{game_id}.arrow") diff --git a/experiments/elo/elo/bga_spider.py b/experiments/elo/elo/bga_spider.py index 0ec41709e955ed543a20e80900440804438634d8..6ff9563c3ee08c55547a20933663d57a5a5005d5 100644 --- a/experiments/elo/elo/bga_spider.py +++ b/experiments/elo/elo/bga_spider.py @@ -1,13 +1,20 @@ -from collections.abc import Generator -from datetime import datetime, timezone +from __future__ import annotations + import json import math import re -from typing import Any +import time +from datetime import datetime, timezone +from typing import Any, TYPE_CHECKING -from scrapy import FormRequest, Request, Spider +import funcy +import jmespath +from scrapy import FormRequest, Request, Selector, Spider from scrapy.http import Response, TextResponse +if TYPE_CHECKING: + from collections.abc import Generator, Iterable + class BaseFilter: type_name: str @@ -29,14 +36,22 @@ class RankingFilter(BaseFilter): type_name = "ranking" +class MatchFilter(BaseFilter): + type_name = "match" + + class BgaSpider(Spider): name = "bga" - start_urls = ("https://en.boardgamearena.com/gamelist?allGames=",) + base_url = "https://en.boardgamearena.com/" + start_urls = (base_url,) custom_settings = { - "DOWNLOAD_DELAY": 1, - "CONCURRENT_REQUESTS_PER_DOMAIN": 4, - "FEED_EXPORT_BATCH_ITEM_COUNT": 10_000, + "COOKIES_ENABLED": True, + "COOKIES_DEBUG": False, + "DOWNLOAD_DELAY": 10, + "CONCURRENT_REQUESTS_PER_DOMAIN": 16, + "LOG_FORMATTER": "scrapy_extensions.QuietLogFormatter", + "FEED_EXPORT_BATCH_ITEM_COUNT": 100_000, "FEEDS": { "results/games-%(time)s-%(batch_id)05d.jl": { "format": "jsonlines", @@ -50,20 +65,83 @@ class BgaSpider(Spider): "overwrite": False, "store_empty": False, }, + "results/matches-%(time)s-%(batch_id)05d.jl": { + "format": "jsonlines", + "item_filter": MatchFilter, + "overwrite": False, + "store_empty": False, + }, }, "JOBDIR": ".jobs", } + request_token_url = "/account/auth/getRequestToken.html" + request_token_path = jmespath.compile("data.request_token") + request_token: str | None = None + + game_list_url = "/gamelist?allGames=" + game_list_regex = re.compile("globalUserInfos=(.+);$", flags=re.MULTILINE) + game_keys: Iterable[str] | None = None + + scrape_rankings = False + ranking_url = "/gamepanel/gamepanel/getRanking.html" + ranking_path = jmespath.compile("data.ranks") max_rank_scraped = None - regex = re.compile("globalUserInfos=(.+);$", flags=re.MULTILINE) + ranking_keys: Iterable[str] | None = None + + scrape_matches = True + base_match_url = "/message/board" + match_path = jmespath.compile("data.news") + max_matches_per_page = 9500 + match_keys: Iterable[str] | None = frozenset( + ( + "id", + "timestamp", + "game_id", + "players", + "scraped_at", + "type", + ) + ) + + ordinal_regex = re.compile(r"(\d+)(st|nd|rd|th)|winner|loser", re.IGNORECASE) + integer_regex = re.compile(r"(\d+)") + + def parse(self, response: Response) -> Request: + return FormRequest( + url=response.urljoin(self.request_token_url), + formdata={"bgapp": "bga"}, + callback=self.parse_request_token, + method="POST", + ) - def parse(self, response: Response) -> Generator[dict | Request]: + def parse_request_token(self, response: Response) -> Request | None: + if not isinstance(response, TextResponse): + self.logger.warning("Response <%s> is not a TextResponse", response.url) + return + + payload = response.json() + request_token = self.request_token_path.search(payload) + + if not request_token: + self.logger.error("Request token not found in response <%s>", response.url) + return + + self.request_token = request_token + + return Request( + url=response.urljoin(self.game_list_url), + callback=self.parse_games, + headers={"X-Request-Token": request_token}, + ) + + def parse_games(self, response: Response) -> Generator[dict | Request]: now = datetime.now(timezone.utc).isoformat(timespec="seconds") for text in response.xpath( "//script[@type = 'text/javascript']/text()" ).getall(): - match = self.regex.search(text) + match = self.game_list_regex.search(text) if not match: continue @@ -78,20 +156,34 @@ class BgaSpider(Spider): for game in payload["game_list"]: game["type"] = "game" game["scraped_at"] = now - yield game - - yield FormRequest( - url=response.urljoin("/gamepanel/gamepanel/getRanking.html"), - method="POST", - formdata={ - "game": str(game["id"]), - "start": "0", - "mode": "elo", - }, - callback=self.parse_ranking, - meta={"game_id": game["id"]}, - priority=0, - ) + yield funcy.project(game, self.game_keys) if self.game_keys else game + + if self.scrape_rankings: + yield FormRequest( + url=response.urljoin(self.ranking_url), + method="POST", + formdata={ + "game": str(game["id"]), + "start": "0", + "mode": "elo", + }, + callback=self.parse_ranking, + meta={"game_id": game["id"]}, + priority=0, + headers={"X-Request-Token": self.request_token}, + ) + + if self.scrape_matches: + games_played = int(game.get("games_played", 0)) + priority = games_played // (2 * self.max_matches_per_page) + yield Request( + url=self.build_match_url(response, game["id"]), + method="GET", + callback=self.parse_matches, + meta={"game_id": game["id"]}, + priority=priority, + headers={"X-Request-Token": self.request_token}, + ) def parse_ranking(self, response: Response) -> Generator[dict | Request]: if not isinstance(response, TextResponse): @@ -103,13 +195,21 @@ class BgaSpider(Spider): game_id = response.meta["game_id"] payload = response.json() + entries = self.ranking_path.search(payload) + + if not entries: + self.logger.error("Ranking not found in response <%s>", response.url) + return + rank_nos = [] - for entry in payload["data"]["ranks"]: + for entry in entries: entry["game_id"] = game_id entry["type"] = "ranking" entry["scraped_at"] = now - yield entry + yield ( + funcy.project(entry, self.ranking_keys) if self.ranking_keys else entry + ) rank_nos.append(int(entry["rank_no"])) max_rank_no = max(rank_nos, default=math.inf) @@ -122,5 +222,106 @@ class BgaSpider(Spider): "mode": "elo", }, meta={"game_id": game_id}, - priority=-max_rank_no, + priority=response.request.priority - 1, ) + + def build_match_url( + self, + response: Response, + game_id: int, + from_time: int = None, + from_id: int = None, + ) -> str: + params = { + "type": "lastresult", + "id": str(game_id), + "social": "false", + "per_page": str(self.max_matches_per_page), + "dojo.preventCache": str(int(time.time() * 1000)), + } + + if from_time is not None and from_id is not None: + params["page"] = "0" + params["from_time"] = str(from_time) + params["from_id"] = str(from_id) + + query = "&".join(f"{k}={v}" for k, v in params.items()) + url = f"{self.base_match_url}?{query}" + return response.urljoin(url) + + def parse_matches(self, response: Response) -> Generator[dict[str, Any] | Request]: + if not isinstance(response, TextResponse): + self.logger.warning("Response <%s> is not a TextResponse", response.url) + return + + now = datetime.now(timezone.utc).isoformat(timespec="seconds") + + game_id = response.meta["game_id"] + payload = response.json() + + matches = self.match_path.search(payload) + + if not matches: + self.logger.error("Matches not found in response <%s>", response.url) + return + + last_id = None + last_timestamp = None + + for match in matches: + match["game_id"] = game_id + match["type"] = "match" + match["scraped_at"] = now + try: + match["players"] = list(self.parse_match_html(match["html"])) + except Exception: + match["players"] = None + last_id = match.get("id") + last_timestamp = match.get("timestamp") + yield funcy.project(match, self.match_keys) if self.match_keys else match + + if last_id and last_timestamp: + yield Request( + url=self.build_match_url(response, game_id, last_timestamp, last_id), + method="GET", + callback=self.parse_matches, + meta={"game_id": game_id}, + priority=response.request.priority - 1, + headers={"X-Request-Token": self.request_token}, + ) + + def parse_match_html(self, html: str) -> Generator[dict[str, Any]]: + selector = Selector(text=html, type="html") + + player_divs = selector.css("div.board-score-entry") + num_players = len(player_divs) + + for player_div in player_divs: + rank_text = player_div.xpath("text()[1]").get() or "" + match = self.ordinal_regex.search(rank_text) + if not match: + place = None + elif match.group(1): + place = int(match.group(1)) + elif match.group(0).lower() == "winner": + place = 1 + elif match.group(0).lower() == "loser": + place = num_players + else: + raise ValueError(f"Invalid place: {place}") + + player_link = player_div.css("a.playername") + player_href = player_link.xpath("@href").get() or "" + player_id = int(player_href.split("=")[-1]) if "=" in player_href else None + + player_name = player_link.xpath("text()").get() + score_text = player_link.xpath("following-sibling::text()[1]").get() or "" + match = self.integer_regex.search(score_text) + score = int(match.group(1)) if match else None + + yield { + "player_id": player_id, + "player_name": player_name, + "place": place, + "score": score, + } diff --git a/experiments/elo/elo/data.py b/experiments/elo/elo/data.py index d374336103b54d3243333a55a1412b193d5b7c2b..0ccfb0d9fe06be7622b71af48ff126a00fcfe761 100644 --- a/experiments/elo/elo/data.py +++ b/experiments/elo/elo/data.py @@ -86,6 +86,51 @@ def merge_rankings( ) +def merge_matches( + matches_path: str | Path | list[str] | list[Path], + output_path: str | Path, + overwrite: bool = False, + progress_bar: bool = False, +) -> None: + schema = { + "id": pl.String, + "timestamp": pl.String, + "game_id": pl.Int64, + "players": pl.List( + pl.Struct( + { + "player_id": pl.Int64, + "player_name": pl.String, + "place": pl.Int64, + "score": pl.Float64, + } + ) + ), + "scraped_at": pl.String, + } + + config = MergeConfig( + schema=pl.Schema(schema), + in_paths=matches_path, + out_path=output_path, + key_col="id", + latest_col=pl.col("scraped_at").str.to_datetime(time_zone="UTC"), + sort_fields=[ + "game_id", + "timestamp", + "id", + ], + ) + + merge_files( + merge_config=config, + overwrite=overwrite, + drop_empty=True, + sort_keys=True, + progress_bar=progress_bar, + ) + + def load_data( *, bgg_games_path: str | Path, @@ -194,3 +239,9 @@ if __name__ == "__main__": overwrite=True, progress_bar=True, ) + merge_matches( + matches_path="results/matches-*.jl", + output_path="matches.jl", + overwrite=True, + progress_bar=True, + ) diff --git a/experiments/elo/elo/elo_ratings.py b/experiments/elo/elo/elo_ratings.py index ccc3c01a46d91a15ebd776c3fd9edcc5030aac6d..a662123fc4be5570b82b1f07aa4f2a14f101837d 100644 --- a/experiments/elo/elo/elo_ratings.py +++ b/experiments/elo/elo/elo_ratings.py @@ -1,64 +1,316 @@ from __future__ import annotations + +import itertools +import warnings +from abc import ABC, abstractmethod from collections import defaultdict -from collections.abc import Iterable, Mapping -from typing import TypeVar +from collections.abc import Mapping +from typing import TYPE_CHECKING, override + +import numpy as np -ID_TYPE = TypeVar("ID_TYPE") +if TYPE_CHECKING: + from collections.abc import Iterable, Generator + from typing import Any def elo_probability(diff: float, scale: float = 400) -> float: return 1 / (1 + 10 ** (-diff / scale)) -def calculate_elo_ratings( - *, - player_1_ids: Iterable[ID_TYPE], - player_2_ids: Iterable[ID_TYPE], - player_1_outcomes: Iterable[float], - init_elo_ratings: Mapping[ID_TYPE, float] | None = None, - elo_initial: float = 0, - elo_k: float = 32, - elo_scale: float = 400, - full_results: bool = False, - progress_bar: bool = False, -) -> ( - defaultdict[ID_TYPE, float] - | tuple[defaultdict[ID_TYPE, float], list[float], list[float]] -): - elo_ratings = defaultdict( - lambda: elo_initial, - init_elo_ratings if init_elo_ratings is not None else {}, - ) - - player_1_win_probs: list[float] = [] - elo_updates: list[float] = [] - - if progress_bar: - from tqdm import tqdm - - player_1_ids = tqdm(player_1_ids, desc="Processing games") - - for player_1_id, player_2_id, player_1_outcome in zip( - player_1_ids, - player_2_ids, - player_1_outcomes, - strict=True, - ): - elo_1 = elo_ratings[player_1_id] - elo_2 = elo_ratings[player_2_id] +class EloRatingSystem[ID_TYPE](ABC): + elo_initial: float = 0 + elo_k: float = 32 + elo_scale: float = 400 + + elo_ratings: defaultdict[ID_TYPE, float] + + def __init__( + self, + *, + init_elo_ratings: Mapping[ID_TYPE, float] | None = None, + elo_initial: float = 0, + elo_k: float = 32, + elo_scale: float = 400, + ) -> None: + self.elo_initial = elo_initial + self.elo_k = elo_k + self.elo_scale = elo_scale + + self.elo_ratings = defaultdict( + lambda: elo_initial, + init_elo_ratings if init_elo_ratings is not None else {}, + ) + + @abstractmethod + def update_elo_ratings( + self, + players: Mapping[ID_TYPE, float] | Iterable[ID_TYPE], + ) -> np.ndarray: ... + + @abstractmethod + def update_elo_ratings_batch( + self, + matches: Iterable[Mapping[ID_TYPE, float] | Iterable[ID_TYPE]], + *, + full_results: bool = False, + progress_bar: bool = False, + tqdm_kwargs: dict[str, Any] | None = None, + ) -> np.ndarray | None: ... + + @abstractmethod + def probability_matrix( + self, + players: Iterable[ID_TYPE], + ) -> np.ndarray: ... + + @abstractmethod + def expected_outcome( + self, + players: Iterable[ID_TYPE], + *, + rank_payoffs: np.ndarray | None = None, + ) -> np.ndarray: ... + + +class TwoPlayerElo[ID_TYPE](EloRatingSystem[ID_TYPE]): + @override + def expected_outcome( + self, + players: Iterable[ID_TYPE], + *, + rank_payoffs: np.ndarray | None = None, + ) -> np.ndarray: + if rank_payoffs is not None: + warnings.warn("rank_payoffs are ignored for two-player elo") + player_1, player_2 = players + elo_1 = self.elo_ratings[player_1] + elo_2 = self.elo_ratings[player_2] diff = elo_1 - elo_2 - player_1_win_prob = elo_probability(diff, elo_scale) - player_1_update = elo_k * (player_1_outcome - player_1_win_prob) + prob = elo_probability(diff, self.elo_scale) + return np.array([prob, 1 - prob]) + + @override + def probability_matrix( + self, + players: Iterable[ID_TYPE], + ) -> np.ndarray: + expected_outcome = self.expected_outcome(players) + return np.array([expected_outcome, 1 - expected_outcome]) + + @override + def update_elo_ratings( + self, + players: Mapping[ID_TYPE, float] | Iterable[ID_TYPE], + ) -> np.ndarray: + if isinstance(players, Mapping): + player_ids = tuple(players.keys()) + outcomes = np.array(list(players.values()), dtype=float) + else: + player_ids = tuple(players) + outcomes = np.array([1, 0], dtype=float) + + diffs = outcomes - self.expected_outcome(player_ids) + for player_id, diff in zip(player_ids, diffs): + self.elo_ratings[player_id] += self.elo_k * diff + + return diffs + + def _update_elo_ratings_batch( + self, + matches: Iterable[Mapping[ID_TYPE, float] | Iterable[ID_TYPE]], + ) -> Generator[np.ndarray]: + for match in matches: + yield self.update_elo_ratings(match) + + @override + def update_elo_ratings_batch( + self, + matches: Iterable[Mapping[ID_TYPE, float] | Iterable[ID_TYPE]], + *, + full_results: bool = False, + progress_bar: bool = False, + tqdm_kwargs: dict[str, Any] | None = None, + ) -> np.ndarray | None: + if progress_bar: + from tqdm import tqdm + + tqdm_kwargs = tqdm_kwargs or {} + matches = tqdm(matches, desc="Updating elo ratings", **tqdm_kwargs) + + if full_results: + return np.array(list(self._update_elo_ratings_batch(matches))) + + for _ in self._update_elo_ratings_batch(matches): + pass + return None + + +class RankOrderedLogitElo[ID_TYPE](EloRatingSystem[ID_TYPE]): + """ + Rank-ordered-logit Elo with Monte-Carlo fallback for large fields. + """ - # Update ratings - elo_ratings[player_1_id] += player_1_update - elo_ratings[player_2_id] -= player_1_update + def __init__( + self, + *, + init_elo_ratings: Mapping[ID_TYPE, float] | None = None, + elo_initial: float = 0, + elo_k: float = 32, + elo_scale: float = 400, + max_exact: int = 6, + mc_samples: int = 5_000, + ) -> None: + super().__init__( + init_elo_ratings=init_elo_ratings, + elo_initial=elo_initial, + elo_k=elo_k, + elo_scale=elo_scale, + ) + + self.max_exact = max_exact + self.mc_samples = mc_samples + + def _calculate_probability_matrix_two_players( + self, + players: tuple[ID_TYPE, ID_TYPE], + ) -> np.ndarray: + rating_a = self.elo_ratings[players[0]] + rating_b = self.elo_ratings[players[1]] + diff = rating_a - rating_b + prob_a = elo_probability(diff, self.elo_scale) + prob_b = 1 - prob_a + return np.array([[prob_a, prob_b], [prob_b, prob_a]]) + + def _calculate_probability_matrix_from_simulations( + self, + players: tuple[ID_TYPE, ...], + ) -> np.ndarray: + # TODO: implement Monte Carlo fallback + raise NotImplementedError + + def _calculate_probability_matrix_from_permutations( + self, + players: tuple[ID_TYPE, ...], + ) -> np.ndarray: + num_players = len(players) + ratings = np.array([self.elo_ratings[p] for p in players], dtype=float) + exp_ratings = 10 ** (ratings / self.elo_scale) + probs = np.zeros((num_players, num_players)) + + for perm in itertools.permutations(range(num_players)): + prob = 1 + denom = np.sum(exp_ratings) + for i in range(num_players - 1): + prob *= exp_ratings[perm[i]] / denom + denom -= exp_ratings[perm[i]] + for position, player in enumerate(perm): + probs[player, position] += prob + + assert np.allclose(probs.sum(axis=0), 1), "Probabilities must sum to 1" + assert np.allclose(probs.sum(axis=1), 1), "Probabilities must sum to 1" + + return probs + + @override + def probability_matrix( + self, + players: Iterable[ID_TYPE], + ) -> np.ndarray: + players = tuple(players) + + if len(players) < 2: + raise ValueError("At least 2 players are required") + + if len(players) == 2: + return self._calculate_probability_matrix_two_players(players) + + if len(players) > self.max_exact: + return self._calculate_probability_matrix_from_simulations(players) + + return self._calculate_probability_matrix_from_permutations(players) + + @override + def expected_outcome( + self, + players: Iterable[ID_TYPE], + *, + rank_payoffs: np.ndarray | None = None, + ) -> np.ndarray: + players = tuple(players) + if rank_payoffs is None: + rank_payoffs = np.arange(len(players) - 1, -1, -1, dtype=float) + + assert rank_payoffs.ndim == 1, "Rank payoffs must be a 1D array" + assert len(rank_payoffs) == len(players), ( + "Rank payoffs must be the same length as the number of players" + ) + probs = self.probability_matrix(players) + return probs @ rank_payoffs + + @override + def update_elo_ratings( + self, + players: Mapping[ID_TYPE, float] | Iterable[ID_TYPE], + ) -> np.ndarray: + if isinstance(players, Mapping): + player_ids = tuple(players.keys()) + payoffs = np.array(list(players.values()), dtype=float) + else: + player_ids = tuple(players) + payoffs = np.arange(len(player_ids) - 1, -1, -1, dtype=float) + + assert np.all(payoffs >= 0), "Payoffs must be non-negative" + assert np.any(payoffs > 0), "At least one payoff must be positive" + + max_payoff = payoffs.max() + expected_payoffs = self.expected_outcome(player_ids, rank_payoffs=payoffs) + diffs = (payoffs - expected_payoffs) / max_payoff + for player_id, diff in zip(player_ids, diffs): + self.elo_ratings[player_id] += self.elo_k * diff + + return diffs + + def _update_elo_ratings_batch( + self, + matches: Iterable[Mapping[ID_TYPE, float] | Iterable[ID_TYPE]], + ) -> Generator[np.ndarray]: + for match in matches: + yield self.update_elo_ratings(match) + + @override + def update_elo_ratings_batch( + self, + matches: Iterable[Mapping[ID_TYPE, float] | Iterable[ID_TYPE]], + *, + full_results: bool = False, + progress_bar: bool = False, + tqdm_kwargs: dict[str, Any] | None = None, + ) -> np.ndarray | None: + if progress_bar: + from tqdm import tqdm + + tqdm_kwargs = tqdm_kwargs or {} + matches = tqdm(matches, **tqdm_kwargs) if full_results: - player_1_win_probs.append(player_1_win_prob) - elo_updates.append(player_1_update) + return _padded_numpy_array(self._update_elo_ratings_batch(matches)) - if full_results: - return elo_ratings, player_1_win_probs, elo_updates - return elo_ratings + for _ in self._update_elo_ratings_batch(matches): + pass + return None + + +def _padded_numpy_array( + arrays: Iterable[np.ndarray], + *, + pad_value: float = np.nan, + dtype: np.dtype | None = None, +) -> np.ndarray: + arrays = tuple(arrays) + max_len = max((a.shape[0] for a in arrays), default=0) + result = np.full((len(arrays), max_len), pad_value, dtype=dtype or np.float64) + for i, a in enumerate(arrays): + result[i, : a.shape[0]] = a + return result diff --git a/experiments/elo/elo/game_stats.py b/experiments/elo/elo/game_stats.py new file mode 100644 index 0000000000000000000000000000000000000000..521868123bef1828048759117b395796cef6ab2c --- /dev/null +++ b/experiments/elo/elo/game_stats.py @@ -0,0 +1,147 @@ +from __future__ import annotations + +import itertools +import json +import logging +import sys +from pathlib import Path +from typing import TYPE_CHECKING + +import networkx as nx +import polars as pl + + +if TYPE_CHECKING: + from typing import Generator, Any + +LOGGER = logging.getLogger(__name__) + + +def game_stats( + matches_path: Path | str, + *, + threshold_matches_regulars: int = 25, + progress_bar: bool = False, +) -> dict[str, int]: + matches_path = Path(matches_path).resolve() + LOGGER.info("Reading matches from %s", matches_path) + + data = pl.read_ipc(matches_path, memory_map=False) + num_all_matches = len(data) + + graph = nx.Graph() + + player_ids_col = data["player_ids"] + if progress_bar: + from tqdm import tqdm + + player_ids_col = tqdm(player_ids_col) + + for player_ids in player_ids_col: + graph.add_edges_from(itertools.combinations(player_ids, 2)) + + num_all_players = graph.number_of_nodes() + largest_community = max(nx.connected_components(graph), key=len) + num_players = len(largest_community) + + data = data.filter( + pl.col("player_ids").list.eval(pl.element().is_in(largest_community)).list.any() + ) + num_matches = len(data) + + result = ( + data.lazy() + .select(pl.col("player_ids").explode().value_counts()) + .unnest("player_ids") + .select( + num_matches_max=pl.col("count").max(), + num_regular_players=(pl.col("count") >= threshold_matches_regulars).sum(), + ) + .collect() + .to_dicts()[0] + ) + + result["num_all_matches"] = num_all_matches + result["num_matches"] = num_matches + result["num_all_players"] = num_all_players + result["num_players"] = num_players + + return result + + +def _games_stats( + *, + games_path: Path | str, + matches_dir: Path | str, + threshold_matches_regulars: int = 25, + progress_bar: bool = False, +) -> Generator[dict[str, Any]]: + games_path = Path(games_path).resolve() + matches_dir = Path(matches_dir).resolve() + + LOGGER.info("Reading games from %s", games_path) + LOGGER.info("Reading matches from %s", matches_dir) + + games = pl.read_ndjson(games_path) + games_dicts = games.to_dicts() + + for game in games_dicts: + LOGGER.info("Processing game %s", game["display_name_en"]) + game_id = game["id"] + matches_path = matches_dir / f"{game_id}.arrow" + if not matches_path.exists(): + LOGGER.warning("Matches file %s does not exist", matches_path) + yield game + continue + + try: + stats = game_stats( + matches_path, + threshold_matches_regulars=threshold_matches_regulars, + progress_bar=progress_bar, + ) + except Exception: + LOGGER.exception("Error processing game %s", game["display_name_en"]) + yield game + else: + yield game | stats + + LOGGER.info("Done.") + + +def games_stats( + *, + games_path: Path | str, + matches_dir: Path | str, + output_path: Path | str, + threshold_matches_regulars: int = 25, + progress_bar: bool = False, +): + output_path = Path(output_path).resolve() + output_path.parent.mkdir(parents=True, exist_ok=True) + + LOGGER.info("Writing games stats to %s", output_path) + + with output_path.open("w") as file: + for game in _games_stats( + games_path=games_path, + matches_dir=matches_dir, + threshold_matches_regulars=threshold_matches_regulars, + progress_bar=progress_bar, + ): + file.write(json.dumps(game) + "\n") + + +def _main(): + logging.basicConfig(level=logging.INFO, stream=sys.stdout) + games_stats( + games_path="games.jl", + matches_dir="results/arrow/matches", + output_path="games_stats.jl", + threshold_matches_regulars=25, + progress_bar=True, + ) + + +if __name__ == "__main__": + _main() diff --git a/experiments/elo/elo/optimal_k.py b/experiments/elo/elo/optimal_k.py index c4b1cb34290666b05906c4fdee98418164b20839..af5590a44d3d7fe2fc43c43ab38c3163853864ea 100644 --- a/experiments/elo/elo/optimal_k.py +++ b/experiments/elo/elo/optimal_k.py @@ -1,65 +1,56 @@ from __future__ import annotations -from collections.abc import Iterable -from typing import TypeVar +import functools +from collections.abc import Mapping +from typing import TYPE_CHECKING import numpy as np from scipy.optimize import minimize_scalar -from elo.elo_ratings import calculate_elo_ratings +from elo.elo_ratings import EloRatingSystem, TwoPlayerElo, RankOrderedLogitElo +if TYPE_CHECKING: + from collections.abc import Iterable -ID_TYPE = TypeVar("ID_TYPE") - -def calculate_loss( +def calculate_loss[ID_TYPE]( *, - player_1_ids: Iterable[ID_TYPE], - player_2_ids: Iterable[ID_TYPE], - player_1_outcomes: Iterable[float], - elo_k: float, - elo_scale: float, + elo: EloRatingSystem[ID_TYPE], + matches: Iterable[Mapping[ID_TYPE, float] | Iterable[ID_TYPE]], progress_bar: bool = False, ) -> np.float64: - if not isinstance(player_1_outcomes, np.ndarray): - player_1_outcomes = np.array(list(player_1_outcomes)) - - _, player_1_win_probs_list, _ = calculate_elo_ratings( - player_1_ids=player_1_ids, - player_2_ids=player_2_ids, - player_1_outcomes=player_1_outcomes, - elo_k=elo_k, - elo_scale=elo_scale, + errors = elo.update_elo_ratings_batch( + matches, full_results=True, progress_bar=progress_bar, ) + assert errors is not None + return np.nanmean(errors**2) - player_1_win_probs = np.array(player_1_win_probs_list) - errors = player_1_outcomes - player_1_win_probs - - return np.mean(errors**2) - -def approximate_optimal_k( +def approximate_optimal_k[ID_TYPE]( *, - player_1_ids: Iterable[ID_TYPE], - player_2_ids: Iterable[ID_TYPE], - player_1_outcomes: Iterable[float], + matches: Iterable[Mapping[ID_TYPE, float] | Iterable[ID_TYPE]], + two_player_only: bool = False, min_elo_k: float = 0, - max_elo_k: float = 160, + max_elo_k: float = 200, elo_scale: float = 400, ) -> np.float64: - player_1_ids = list(player_1_ids) - player_2_ids = list(player_2_ids) - player_1_outcomes = np.array(list(player_1_outcomes)) - + match_list: list[Mapping[ID_TYPE, float]] = [ + dict(zip((m := tuple(match)), range(len(m) - 1, -1, -1))) + if not isinstance(match, Mapping) + else match + for match in matches + ] + + @functools.cache def loss(elo_k: float) -> np.float64: return calculate_loss( - player_1_ids=player_1_ids, - player_2_ids=player_2_ids, - player_1_outcomes=player_1_outcomes, - elo_k=elo_k, - elo_scale=elo_scale, + elo=TwoPlayerElo(elo_k=elo_k, elo_scale=elo_scale) + if two_player_only + else RankOrderedLogitElo(elo_k=elo_k, elo_scale=elo_scale), + matches=match_list, + progress_bar=False, ) result = minimize_scalar( diff --git a/experiments/elo/elo/p_deterministic.py b/experiments/elo/elo/p_deterministic.py index a62942c9b7bfd19e11945e2bb08f5df8c0fc933f..3da89c0e434bd67bff5e97bfac737c3bb60f079b 100644 --- a/experiments/elo/elo/p_deterministic.py +++ b/experiments/elo/elo/p_deterministic.py @@ -1,83 +1,233 @@ from __future__ import annotations -from collections import defaultdict + +import dataclasses +import itertools +import time +from collections.abc import Iterable +from concurrent.futures import ProcessPoolExecutor, as_completed +from typing import TYPE_CHECKING + import numpy as np -from elo.elo_ratings import calculate_elo_ratings +from elo.elo_ratings import EloRatingSystem, TwoPlayerElo, RankOrderedLogitElo +from elo.optimal_k import approximate_optimal_k + +if TYPE_CHECKING: + from collections.abc import Generator + from concurrent.futures import Future -def simulate_p_deterministic_games( +def simulate_p_deterministic_matches( + *, rng: np.random.Generator, num_players: int, - num_games: int, + num_matches: int, + players_per_match: int = 2, p_deterministic: float, -) -> tuple[np.ndarray, np.ndarray, np.ndarray]: +) -> np.ndarray: assert 0 <= p_deterministic <= 1, "p_deterministic must be between 0 and 1" assert num_players > 1, "num_players must be greater than 1" - assert num_games > 0, "num_games must be greater than 0" + assert num_matches > 0, "num_games must be greater than 0" + assert 2 <= players_per_match <= num_players, ( + "players_per_match must be between 2 and num_players" + ) - players_a = rng.integers(low=0, high=num_players, size=num_games) - # Sample offset for second player, ensuring it's not equal to the first - offset = rng.integers(low=1, high=num_players, size=num_games) - players_b = (players_a + offset) % num_players - assert np.all(players_a != players_b), "Players A and B must be different" + players = np.arange(num_players) + random_outcomes = np.array( + [ + rng.choice( + players, + size=players_per_match, + replace=False, + ) + for _ in range(num_matches) + ] + ) if p_deterministic == 0: - # If p_deterministic is 0, all games are probabilistic - return players_a, players_b, rng.random(size=num_games) < 0.5 + return random_outcomes + + deterministic_outcomes = np.sort(random_outcomes, axis=1) if p_deterministic == 1: - # If p_deterministic is 1, all games are deterministic - return players_a, players_b, players_a < players_b + return deterministic_outcomes - # Otherwise, mix deterministic and probabilistic outcomes - prob_player_a_wins = rng.random(size=num_games) < 0.5 - det_player_a_wins = players_a < players_b + mask = rng.random(size=num_matches) < p_deterministic + return np.where(mask[:, np.newaxis], deterministic_outcomes, random_outcomes) - deterministic = rng.random(size=num_games) < p_deterministic - player_a_wins = np.where(deterministic, det_player_a_wins, prob_player_a_wins) - return players_a, players_b, player_a_wins +def update_elo_ratings_p_deterministic( + *, + rng: np.random.Generator, + elo: EloRatingSystem | None = None, + num_players: int, + num_matches: int, + players_per_match: int = 2, + p_deterministic: float, + progress_bar: bool = False, +) -> EloRatingSystem: + if elo is None: + elo = TwoPlayerElo() if players_per_match == 2 else RankOrderedLogitElo() + + matches = simulate_p_deterministic_matches( + rng=rng, + num_players=num_players, + num_matches=num_matches, + players_per_match=players_per_match, + p_deterministic=p_deterministic, + ) + payoffs = np.arange(players_per_match - 1, -1, -1, dtype=float) -def update_elo_ratings_p_deterministic( + elo.update_elo_ratings_batch( + matches=(dict(zip(match, payoffs)) for match in matches), + full_results=False, + progress_bar=progress_bar, + tqdm_kwargs={"total": num_matches}, + ) + + return elo + + +@dataclasses.dataclass(frozen=True, kw_only=True) +class ExperimentResult: + num_players: int + num_matches: int + players_per_match: int + + p_deterministic: float + elo_k: float + elo_scale: float + + mean: float + std_dev: float + p00: float + p01: float + p25: float + p50: float + p75: float + p99: float + p100: float + + +def p_deterministic_experiment( + *, rng: np.random.Generator, - elo_ratings: np.ndarray, - num_games: int, + num_players: int, + num_matches: int, + players_per_match: int = 2, p_deterministic: float, - elo_initial: float = 0, - elo_k: float = 32, elo_scale: float = 400, - inplace: bool = True, progress_bar: bool = False, -) -> np.ndarray: - assert elo_ratings.ndim == 1 - num_players = len(elo_ratings) +) -> ExperimentResult: + matches = simulate_p_deterministic_matches( + rng=rng, + num_players=num_players, + num_matches=num_matches, + players_per_match=players_per_match, + p_deterministic=p_deterministic, + ) - if not inplace: - elo_ratings = np.copy(elo_ratings) + elo_k = approximate_optimal_k( + matches=matches, + two_player_only=players_per_match == 2, + min_elo_k=0, + max_elo_k=elo_scale / 2, + elo_scale=elo_scale, + ) - players_a, players_b, player_a_wins = simulate_p_deterministic_games( + elo = update_elo_ratings_p_deterministic( rng=rng, + elo=TwoPlayerElo(elo_k=elo_k, elo_scale=elo_scale) + if players_per_match == 2 + else RankOrderedLogitElo(elo_k=elo_k, elo_scale=elo_scale), num_players=num_players, - num_games=num_games, + num_matches=num_matches, + players_per_match=players_per_match, p_deterministic=p_deterministic, + progress_bar=progress_bar, ) + elo_ratings = np.array(list(elo.elo_ratings.values())) - results = calculate_elo_ratings( - player_1_ids=players_a, - player_2_ids=players_b, - player_1_outcomes=player_a_wins, - init_elo_ratings=dict(enumerate(elo_ratings)), - elo_initial=elo_initial, + return ExperimentResult( + num_players=num_players, + num_matches=num_matches, + players_per_match=players_per_match, + p_deterministic=p_deterministic, elo_k=elo_k, elo_scale=elo_scale, - full_results=False, - progress_bar=progress_bar, + mean=elo_ratings.mean(), + std_dev=elo_ratings.std(), + p00=elo_ratings.min(), + p01=np.percentile(elo_ratings, 1), + p25=np.percentile(elo_ratings, 25), + p50=np.percentile(elo_ratings, 50), + p75=np.percentile(elo_ratings, 75), + p99=np.percentile(elo_ratings, 99), + p100=elo_ratings.max(), ) - assert isinstance(results, defaultdict) - - for player_id, elo_rating in results.items(): - elo_ratings[player_id] = elo_rating - return elo_ratings +def _make_iterable[T](value: T | Iterable[T]) -> Iterable[T]: + return value if isinstance(value, Iterable) else (value,) + + +def _p_deterministic_experiment_futures( + *, + executor: ProcessPoolExecutor, + seed: int, + num_playerss: Iterable[int] | int, + num_matchess: Iterable[int] | int, + players_per_matchs: Iterable[int] | int, + p_deterministics: Iterable[float] | float, + elo_scales: Iterable[float] | float, +) -> Generator[Future[ExperimentResult]]: + for i, ( + num_players, + num_matches, + players_per_match, + p_deterministic, + elo_scale, + ) in enumerate( + itertools.product( + _make_iterable(num_playerss), + _make_iterable(num_matchess), + _make_iterable(players_per_matchs), + _make_iterable(p_deterministics), + _make_iterable(elo_scales), + ) + ): + rng = np.random.default_rng(seed + i) + yield executor.submit( + p_deterministic_experiment, + rng=rng, + num_players=num_players, + num_matches=num_matches, + players_per_match=players_per_match, + p_deterministic=p_deterministic, + elo_scale=elo_scale, + progress_bar=False, + ) + + +def p_deterministic_experiments( + *, + seed: int | None = None, + num_players: Iterable[int] | int, + num_matches: Iterable[int] | int, + players_per_match: Iterable[int] | int = 2, + p_deterministic: Iterable[float] | float, + elo_scale: Iterable[float] | float = 400, +) -> Generator[ExperimentResult]: + with ProcessPoolExecutor() as executor: + futures = _p_deterministic_experiment_futures( + executor=executor, + seed=seed or time.time_ns(), + num_playerss=num_players, + num_matchess=num_matches, + players_per_matchs=players_per_match, + p_deterministics=p_deterministic, + elo_scales=elo_scale, + ) + for future in as_completed(futures): + yield future.result() diff --git a/experiments/elo/p-deterministic distribution.py b/experiments/elo/p-deterministic distribution.py index b0ee9d650df5a4c21e471880397e6c077a05408a..c6992b048b97a2ece7fcb93d8085247d4c40ef33 100644 --- a/experiments/elo/p-deterministic distribution.py +++ b/experiments/elo/p-deterministic distribution.py @@ -6,7 +6,7 @@ # extension: .py # format_name: percent # format_version: '1.3' -# jupytext_version: 1.17.0 +# jupytext_version: 1.17.1 # kernelspec: # display_name: Python 3 (ipykernel) # language: python @@ -14,96 +14,37 @@ # --- # %% +import dataclasses import jupyter_black import numpy as np import polars as pl import seaborn as sns -from elo.optimal_k import approximate_optimal_k -from elo.p_deterministic import simulate_p_deterministic_games, update_elo_ratings_p_deterministic +from elo.p_deterministic import p_deterministic_experiments +from tqdm import tqdm jupyter_black.load() +seed = 13 # %% -def generate_distributions( +experiments = p_deterministic_experiments( + seed=seed, num_players=1000, - num_games=1_000_000, - p_deterministic_min=0.01, - p_deterministic_max=0.99, - num_steps=99, + num_matches=1_000_000, + players_per_match=2, + p_deterministic=np.linspace(start=0.01, stop=0.99, num=99), elo_scale=400, - seed=None, - progress_bar: bool = False, -): - rng = np.random.default_rng(seed) - - p_deterministics = np.linspace( - start=p_deterministic_min, - stop=p_deterministic_max, - num=num_steps, - ) - - if progress_bar: - from tqdm import tqdm - - p_deterministics = tqdm(p_deterministics) - - for p_deterministic in p_deterministics: - player_1_ids, player_2_ids, player_1_outcomes = simulate_p_deterministic_games( - rng=rng, - num_players=num_players, - num_games=num_games, - p_deterministic=p_deterministic, - ) - - elo_k = approximate_optimal_k( - player_1_ids=player_1_ids, - player_2_ids=player_2_ids, - player_1_outcomes=player_1_outcomes, - min_elo_k=0, - max_elo_k=elo_scale / 2, - elo_scale=elo_scale, - ) - - elo_ratings = update_elo_ratings_p_deterministic( - rng=rng, - elo_ratings=np.zeros(num_players), - num_games=num_games, - p_deterministic=p_deterministic, - elo_k=elo_k, - elo_scale=elo_scale, - inplace=True, - progress_bar=False, - ) - - yield p_deterministic, elo_k, elo_ratings - - -# %% -p_deterministics, elo_ks, elo_ratingss = zip( - *generate_distributions(seed=13, progress_bar=True) ) - -# %% -elo_ratingss_array = np.array(elo_ratingss) -elo_ratingss_array.shape, elo_ratingss_array.dtype - -# %% -elo_ratings_stds = np.std(elo_ratingss_array, axis=1) -elo_ratings_stds.shape, elo_ratings_stds.dtype - -# %% -results = pl.DataFrame( - data=elo_ratingss_array, - schema=[f"elo_{i:03d}" for i in range(elo_ratingss_array.shape[1])], -).select( - pl.Series("p_deterministic", p_deterministics), - pl.Series("elo_k", elo_ks), - pl.Series("elo_ratings_std", elo_ratings_stds), - pl.all(), +results = ( + pl.LazyFrame(dataclasses.asdict(experiment) for experiment in tqdm(experiments)) + .sort("num_players", "num_matches", "players_per_match", "p_deterministic") + .collect() ) results.shape +# %% +results.sample(10, seed=seed) + # %% results.write_csv("results/p_deterministic.csv", float_precision=5) @@ -114,7 +55,7 @@ sns.scatterplot(data=results, x="p_deterministic", y="elo_k") sns.scatterplot(x=results["p_deterministic"], y=np.log(results["elo_k"])) # %% -sns.scatterplot(data=results, x="p_deterministic", y="elo_ratings_std") +sns.scatterplot(data=results, x="p_deterministic", y="std_dev") # %% -sns.scatterplot(x=results["p_deterministic"], y=np.log(results["elo_ratings_std"])) +sns.scatterplot(x=results["p_deterministic"], y=np.log(results["std_dev"])) diff --git a/experiments/elo/p-deterministic games.py b/experiments/elo/p-deterministic games.py index 5d500d9a36c569cfda957dd987254a7adc280b92..f4edde1d62a70ab544afd84657b49604d58ad90b 100644 --- a/experiments/elo/p-deterministic games.py +++ b/experiments/elo/p-deterministic games.py @@ -6,7 +6,7 @@ # extension: .py # format_name: percent # format_version: '1.3' -# jupytext_version: 1.17.0 +# jupytext_version: 1.17.1 # kernelspec: # display_name: Python 3 (ipykernel) # language: python @@ -19,8 +19,11 @@ import numpy as np import polars as pl import seaborn as sns from elo.optimal_k import approximate_optimal_k -from elo.p_deterministic import simulate_p_deterministic_games, update_elo_ratings_p_deterministic -from elo.elo_ratings import elo_probability +from elo.p_deterministic import ( + simulate_p_deterministic_matches, + update_elo_ratings_p_deterministic, +) +from elo.elo_ratings import RankOrderedLogitElo, TwoPlayerElo, elo_probability jupyter_black.load() @@ -28,21 +31,25 @@ jupyter_black.load() seed = 13 rng = np.random.default_rng(seed) num_players = 1000 -num_games = 1_000_000 +num_matches = 1_000_000 +players_per_match = 2 p_deterministic = 0.5 elo_scale = 400 # %% -player_1_ids, player_2_ids, player_1_outcomes = simulate_p_deterministic_games( +matches = simulate_p_deterministic_matches( rng=rng, num_players=num_players, - num_games=num_games, + num_matches=num_matches, + players_per_match=players_per_match, p_deterministic=p_deterministic, ) +matches.shape + +# %% elo_k = approximate_optimal_k( - player_1_ids=player_1_ids, - player_2_ids=player_2_ids, - player_1_outcomes=player_1_outcomes, + matches=matches, + two_player_only=players_per_match == 2, min_elo_k=0, max_elo_k=elo_scale / 2, elo_scale=elo_scale, @@ -50,20 +57,22 @@ elo_k = approximate_optimal_k( elo_k # %% -elo_ratings = np.zeros(num_players) -elo_ratings.shape, elo_ratings.dtype - -# %% -elo_scores = update_elo_ratings_p_deterministic( +elo_kwargs = {"elo_k": elo_k, "elo_scale": elo_scale} +elo = ( + TwoPlayerElo(**elo_kwargs) + if players_per_match == 2 + else RankOrderedLogitElo(**elo_kwargs) +) +elo = update_elo_ratings_p_deterministic( rng=rng, - elo_ratings=elo_ratings, - num_games=num_games, + elo=elo, + num_players=num_players, + num_matches=num_matches, + players_per_match=players_per_match, p_deterministic=p_deterministic, - elo_k=elo_k, - elo_scale=elo_scale, - inplace=True, progress_bar=True, ) +elo_ratings = np.array(list(elo.elo_ratings.values())) elo_ratings.shape, elo_ratings.dtype # %% jp-MarkdownHeadingCollapsed=true diff --git a/experiments/elo/p-deterministic multi.py b/experiments/elo/p-deterministic multi.py new file mode 100644 index 0000000000000000000000000000000000000000..2ff9fce26dd1dccc516889df48cf4432c4c3e2cc --- /dev/null +++ b/experiments/elo/p-deterministic multi.py @@ -0,0 +1,63 @@ +# --- +# jupyter: +# jupytext: +# formats: ipynb,py:percent +# text_representation: +# extension: .py +# format_name: percent +# format_version: '1.3' +# jupytext_version: 1.17.1 +# kernelspec: +# display_name: Python 3 (ipykernel) +# language: python +# name: python3 +# --- + +# %% +import jupyter_black +import numpy as np +from elo.elo_ratings_multi import RankOrderedLogitElo +from elo.optimal_k import approximate_optimal_k_multi + +jupyter_black.load() +rng = np.random.default_rng() + +# %% +p_deterministic = 0.5 +elo_scale = 400 +num_players = 1000 +num_matches = 100_000 +player_per_match = 4 +players = np.arange(num_players) + +# %% +random_outcomes = np.array( + [ + rng.choice( + players, + size=player_per_match, + replace=False, + ) + for _ in range(num_matches) + ] +) +deterministic_outcomes = np.sort(random_outcomes, axis=1) +mask = rng.random(size=num_matches) < p_deterministic +outcomes = np.where(mask[:, np.newaxis], deterministic_outcomes, random_outcomes) +random_outcomes.shape, deterministic_outcomes.shape, outcomes.shape + +# %% +optimal_k = approximate_optimal_k_multi( + matches=outcomes, + elo_scale=elo_scale, + min_elo_k=0, + max_elo_k=elo_scale / 2, +) +optimal_k + +# %% +elo = RankOrderedLogitElo(elo_k=optimal_k, elo_scale=elo_scale) +elo.update_elo_ratings_batch(matches=outcomes, progress_bar=True) + +# %% +np.std(tuple(elo.elo_ratings.values())) diff --git a/experiments/elo/poetry.lock b/experiments/elo/poetry.lock index 0538c890d55df56e6323203a942e8451a27da8da..ffb7a3394f101194081a9cff9af8520d4790ad84 100644 --- a/experiments/elo/poetry.lock +++ b/experiments/elo/poetry.lock @@ -2,13 +2,13 @@ [[package]] name = "anyio" -version = "4.9.0" -description = "High level compatibility layer for multiple asynchronous event loop implementations" +version = "4.10.0" +description = "High-level concurrency and networking framework on top of asyncio or Trio" optional = false python-versions = ">=3.9" files = [ - {file = "anyio-4.9.0-py3-none-any.whl", hash = "sha256:9f76d541cad6e36af7beb62e978876f3b41e3e04f2c1fbf0884604c0a9c4d93c"}, - {file = "anyio-4.9.0.tar.gz", hash = "sha256:673c0c244e15788651a4ff38710fea9675823028a6f08a5eda409e0c9840a028"}, + {file = "anyio-4.10.0-py3-none-any.whl", hash = "sha256:60e474ac86736bbfd6f210f7a61218939c318f43f9972497381f1c5e930ed3d1"}, + 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-description = "Backported and Experimental Type Hints for Python 3.8+" +version = "4.14.1" +description = "Backported and Experimental Type Hints for Python 3.9+" optional = false -python-versions = ">=3.8" +python-versions = ">=3.9" files = [ - {file = "typing_extensions-4.13.2-py3-none-any.whl", hash = "sha256:a439e7c04b49fec3e5d3e2beaa21755cadbbdc391694e28ccdd36ca4a1408f8c"}, - {file = "typing_extensions-4.13.2.tar.gz", hash = "sha256:e6c81219bd689f51865d9e372991c540bda33a0379d5573cddb9a3a23f7caaef"}, + {file = "typing_extensions-4.14.1-py3-none-any.whl", hash = "sha256:d1e1e3b58374dc93031d6eda2420a48ea44a36c2b4766a4fdeb3710755731d76"}, + {file = "typing_extensions-4.14.1.tar.gz", hash = "sha256:38b39f4aeeab64884ce9f74c94263ef78f3c22467c8724005483154c26648d36"}, ] [[package]] @@ -3837,13 +4062,13 @@ dev = ["flake8", "flake8-annotations", "flake8-bandit", "flake8-bugbear", "flake [[package]] name = "urllib3" -version = "2.4.0" +version = "2.5.0" description = "HTTP library with thread-safe connection pooling, file post, and more." optional = false python-versions = ">=3.9" files = [ - {file = "urllib3-2.4.0-py3-none-any.whl", hash = "sha256:4e16665048960a0900c702d4a66415956a584919c03361cac9f1df5c5dd7e813"}, - {file = "urllib3-2.4.0.tar.gz", hash = "sha256:414bc6535b787febd7567804cc015fee39daab8ad86268f1310a9250697de466"}, + {file = "urllib3-2.5.0-py3-none-any.whl", hash = "sha256:e6b01673c0fa6a13e374b50871808eb3bf7046c4b125b216f6bf1cc604cff0dc"}, + {file = "urllib3-2.5.0.tar.gz", hash = "sha256:3fc47733c7e419d4bc3f6b3dc2b4f890bb743906a30d56ba4a5bfa4bbff92760"}, ] [package.extras] @@ -3969,4 +4194,4 @@ testing = ["coverage[toml]", "zope.event", "zope.testing"] [metadata] lock-version = "2.0" python-versions = "3.12.*" -content-hash = "eb5f23ad9daa943cda942af2b29423ab2e4f54de11ec4d54ba4a9241b9af8a33" +content-hash = "5cc0393b2dbe033b45cce40403e71191318873911010be2c40630a113b2c5c48" diff --git a/experiments/elo/pyproject.toml b/experiments/elo/pyproject.toml index 899cd6a0b8ff133183d252f82fe16450683ab06f..31c3e9c3768bf376578df852196f9174c2949872 100644 --- a/experiments/elo/pyproject.toml +++ b/experiments/elo/pyproject.toml @@ -8,13 +8,18 @@ authors = ["Markus Shepherd "] python = "3.12.*" board-game-merger = "*" +funcy = "*" +jmespath = "*" matplotlib = "*" +networkx = "*" +nevergrad = "*" numpy = "*" polars = {version = "*", extras = ["numpy", "pandas", "pyarrow"]} requests = "*" scikit-learn = "*" scipy = "!= 1.14.1" scrapy = "*" +scrapy-extensions = ">=1.0.1" seaborn = "*" statsmodels = "*" tabulate = "*"