Polynomial Functors for Learner Composition

Implementation of Spivak-Niu polynomial functor framework for compositional learning systems.

Core Concepts

Polynomial functors model systems with:

• Position: Internal state space
• Direction: Interface/interaction type
• Lens: Bidirectional data flow (get/put)
• Chart: Dynamical update rules

Basic Polynomial Structure

from dataclasses import dataclass
from typing import Generic, TypeVar, Callable, Tuple