reasoning-gym/reasoning_gym/algorithmic/pool_matrix.py

141 lines
4.8 KiB
Python

"""Perform average / max pooling on a matrix"""
from dataclasses import dataclass
from random import Random
from typing import Any, Optional
import numpy as np
from ..factory import ProceduralDataset, register_dataset
QUESTION_TEMPLATE = """Your job is to perform max/average pooling on the given matrix.
The stride is equal to the kernel size, meaning there is no overlap between the pooling regions.
Example 1:
- Input: Perform max pooling on the following matrix with a kernel size of 2:
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
- Output:
6 8
14 16
Example 2:
- Input: Perform average pooling on the following matrix with a kernel size of 2:
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
- Output:
3.5 5.5
11.5 13.5
Perform {pool_type} pooling on the following matrix with a kernel size of {pool_size}:
{matrix}
"""
@dataclass
class PoolMatrixConfig:
"""Configuration for Pool Matrix dataset generation"""
min_rows: int = 2 # Minimum rows of the matrix
min_cols: int = 2 # Minimum columns of the matrix
max_rows: int = 10 # Maximum rows of the matrix
max_cols: int = 10 # Maximum columns of the matrix
max_pool_size: int = 3 # Maximum pooling size
size: int = 500 # Virtual dataset size
seed: Optional[int] = None
def validate(self):
"""Validate configuration parameters"""
assert 2 <= self.min_rows, "min_rows must be at least 2"
assert 2 <= self.min_cols, "min_cols must be at least 2"
assert self.min_rows <= self.max_rows, "max_rows must be at least min_rows"
assert self.min_cols <= self.max_cols, "max_cols must be at least min_cols"
assert 1 <= self.max_pool_size, "max_pool_size must be at least 1"
class PoolMatrixDataset(ProceduralDataset):
"""Generates Pool Matrix exercises with configurable difficulty"""
def __init__(self, config: PoolMatrixConfig):
super().__init__(config=config, seed=config.seed, size=config.size)
def _get_matrix(self, rng: Random) -> np.ndarray:
"""Generate a random matrix"""
rows = rng.randint(self.config.min_rows, self.config.max_rows)
cols = rng.randint(self.config.min_rows, self.config.max_cols)
return np.random.randint(0, 10, (rows, cols))
def _matrix_to_str(self, matrix: np.ndarray) -> str:
"""Get a string representation of the matrix"""
return "\n".join(" ".join(str(round(x, 2)) for x in row) for row in matrix)
def _max_pool(self, matrix: np.ndarray, pool_size: int) -> np.ndarray:
"""Perform max pooling on the matrix"""
rows, cols = matrix.shape
return np.array(
[
[np.max(matrix[i : i + pool_size, j : j + pool_size]) for j in range(0, cols, pool_size)]
for i in range(0, rows, pool_size)
]
)
def _average_pool(self, matrix: np.ndarray, pool_size: int) -> np.ndarray:
"""Perform average pooling on the matrix"""
rows, cols = matrix.shape
return np.array(
[
[np.mean(matrix[i : i + pool_size, j : j + pool_size]) for j in range(0, cols, pool_size)]
for i in range(0, rows, pool_size)
]
)
def score_answer(self, answer: Optional[str], entry: dict[str, Any]) -> float:
"""Score the answer based on the metadata"""
reward = 0.0
try:
if answer is not None:
oracle_answer = np.array(entry["answer"])
answer = np.array(answer)
if oracle_answer.shape == answer.shape and np.allclose(oracle_answer, answer):
reward = 1.0
if oracle_answer.shape == answer.shape:
reward = 0.1
else:
reward = 0.01
except:
print("Error in scoring answer for Pool Matrix")
return reward
def __getitem__(self, idx: int) -> dict:
"""Generate a single Pool Matrix question"""
rng = Random(self.seed + idx)
np.random.seed(self.seed + idx)
matrix = self._get_matrix(rng)
matrix_str = self._matrix_to_str(matrix)
pool_size = rng.randint(1, self.config.max_pool_size)
pool_type = rng.choice(["average", "max"])
answer = self._average_pool(matrix, pool_size) if pool_type == "average" else self._max_pool(matrix, pool_size)
answer_str = self._matrix_to_str(answer)
return {
"question": QUESTION_TEMPLATE.format(matrix=matrix_str, pool_type=pool_type, pool_size=pool_size),
"answer": answer_str,
"metadata": {
"matrix": matrix.tolist(),
"pool_type": pool_type,
"pool_size": pool_size,
"solution": answer.tolist(),
},
}
register_dataset("pool_matrix", PoolMatrixDataset, PoolMatrixConfig)