build(agent): molt-x#ed374b iteration
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README.md
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README.md
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# catopt-category-theoretic-compositional-
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# catopt-category-theoretic-compositional-
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Problem space: distributed, offline-first optimization across heterogeneous edge devices (DERs, meters, controllers, EV chargers) in mesh networks. Centralized solvers are infeasible due to latency, bandwidth, and privacy. We need a modular, provably
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Problem space: distributed, offline-first optimization across heterogeneous edge devices (DERs, meters, controllers, EV chargers) in mesh networks. Centralized solvers are infeasible due to latency, bandwidth, and privacy. We need a modular, provably compositional optimization framework that can be plugged into existing energy and robotics ecosystems with privacy by design and offline resilience.
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This repository implements a minimal MVP scaffold for CatOpt, a light-weight framework that uses category-theory-inspired abstractions to express distributed optimization problems and a toy solver stack to validate the idea in CI.
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MVP Runtime (new): lightweight primitives to experiment with CatOpt concepts locally.
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- LocalProblem: representation of an agent's optimization task.
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- DataContract, SharedVariables, PlanDelta: lightweight data-exchange primitives for a privacy-conscious mesh.
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- ADMMTwoAgentSolver: tiny, in-process ADMM-like solver to demonstrate joint optimization across two agents.
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- demo_two_agent_admm(): quick in-repo demonstration function returning final variables.
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Usage notes:
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- Import from the package and optionally run the demo function to observe convergence on a toy problem.
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- Example:
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```python
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from catopt_category_theoretic_compositional.runtime import ADMMTwoAgentSolver, demo_two_agent_admm
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result = demo_two_agent_admm()
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print(result)
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```
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"""Minimal placeholder for CatOpt package.
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"""CatOpt: Minimal placeholder surface & MVP runtime exposure."""
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This module provides a tiny, well-typed surface to validate packaging and imports
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from .runtime import LocalProblem, SharedVariables, DataContract, PlanDelta, ADMMTwoAgentSolver, demo_two_agent_admm # noqa: F401
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in CI. The real project would implement the MVP of the CatOpt framework.
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"""
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def add(a: int, b: int) -> int:
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def add(a: int, b: int) -> int:
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"""Return the sum of two integers.
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"""Return the sum of two integers.
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This tiny function exists to provide a deterministic, testable behavior
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This tiny function exists to provide a deterministic, testable behavior
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for the initial CI gate.
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for the initial CI gate, preserving backwards compatibility with tests.
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"""
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"""
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return a + b
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return a + b
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__all__ = ["add", "LocalProblem", "SharedVariables", "DataContract", "PlanDelta", "ADMMTwoAgentSolver", "demo_two_agent_admm"]
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"""CatOpt MVP Runtime: Minimal category-inspired runtime primitives.
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This module provides a tiny, self-contained runtime that demonstrates:
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- Local optimization problem representation (LocalProblem)
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- Simple data contracts (DataContract, SharedVariables, PlanDelta)
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- A toy ADMM-like two-agent solver (ADMMTwoAgentSolver)
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The goal is not to be a full implementation but to provide a minimal,
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understandable surface that respects the MVP's spirit and can be wired up
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into the existing test harness without changing the current public API.
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"""
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from __future__ import annotations
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from dataclasses import dataclass, field
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from typing import Dict, Optional, List, Tuple
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import time
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@dataclass
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class LocalProblem:
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"""Represents a local optimization problem for an agent.
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For the MVP this captures a quadratic objective of form
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0.5 * a * x^2 + b * x
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along with an optional linear term for convenience. The real CatOpt use
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would expose a richer DSL; this is a compact placeholder.
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"""
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id: str
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a: float # quadratic coefficient (scalar)
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b: float # linear coefficient (scalar)
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x_name: str = "x" # variable name for display purposes
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def __post_init__(self):
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if self.a <= 0:
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# Keep a positive definite quadratic for stability in demo
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self.a = max(self.a, 1e-6)
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@dataclass
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class DataContract:
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"""A lightweight data-contract describing what is exchanged between agents."""
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version: int = 1
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schema: Dict[str, str] = field(default_factory=dict)
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@dataclass
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class SharedVariables:
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"""Container for values shared between agents (e.g., delta signals)."""
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values: Dict[str, float] = field(default_factory=dict)
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@dataclass
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class PlanDelta:
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"""Represents a delta/plan update from an agent."""
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contract_id: str
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delta: Dict[str, float]
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timestamp: float = field(default_factory=time.time)
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class ADMMTwoAgentSolver:
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"""Tiny ADMM-like solver for two agents sharing one variable.
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Solves a simple coupled objective:
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minimize 0.5*a1*x1^2 + b1*x1 + 0.5*a2*x2^2 + b2*x2
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subject to x1 + x2 = 1
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using the scaled dual variable formulation with updates similar to ADMM.
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This is intentionally small and self-contained for MVP purposes.
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"""
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def __init__(self, a1: float, b1: float, a2: float, b2: float, rho: float = 1.0):
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self.a1 = float(a1)
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self.b1 = float(b1)
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self.a2 = float(a2)
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self.b2 = float(b2)
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self.rho = float(rho)
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# Initialize variables
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self.x1 = 0.0
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self.x2 = 0.0
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self.z = 0.5 # shared variable estimate
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self.u1 = 0.0 # dual vars
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self.u2 = 0.0
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# History for introspection
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self.history: List[Dict[str, float]] = []
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def _step(self) -> None:
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# x1 update: minimize 0.5*a1*x1^2 + b1*x1 + (rho/2)*(x1 - z + u1)^2
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# Closed-form: x1 = -(b1 + rho*(-z + u1)) / (a1 + rho)
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self.x1 = (-(self.b1) + self.rho * (self.z - self.u1)) / (self.a1 + self.rho)
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# x2 update: similarly
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self.x2 = (-(self.b2) + self.rho * (self.z - self.u2)) / (self.a2 + self.rho)
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# z update: minimize w.r.t z of the augmented terms
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self.z = (self.x1 + self.x2 + self.u1 + self.u2) / 2.0
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# Dual updates
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self.u1 += self.x1 - self.z
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self.u2 += self.x2 - self.z
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# Save history snapshot
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self.history.append({"x1": self.x1, "x2": self.x2, "z": self.z,
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"u1": self.u1, "u2": self.u2})
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def run(self, iterations: int = 10) -> List[Dict[str, float]]:
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for _ in range(iterations):
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self._step()
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return self.history or []
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def final_solution(self) -> Tuple[float, float, float]:
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return self.x1, self.x2, self.z
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def demo_two_agent_admm() -> Dict[str, float]:
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"""Run a tiny demo with 2 agents and return the final variables.
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This helper is convenient for quick sanity checks in the REPL or tests.
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"""
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solver = ADMMTwoAgentSolver(a1=2.0, b1=0.5, a2=3.0, b2=-0.2, rho=1.0)
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_ = solver.run(iterations=20)
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x1, x2, z = solver.final_solution()
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return {"x1": float(x1), "x2": float(x2), "z": float(z)}
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