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Merge pull request #8 from tylerbessire/codex/review-agents.md-for-implementation-steps
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AGENTS.md

Lines changed: 8 additions & 8 deletions
Original file line numberDiff line numberDiff line change
@@ -271,10 +271,10 @@ class HypothesisEngine:
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**PROGRESS MARKER**:
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```
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[ ] Step 2.1 COMPLETED - Hypothesis generation framework implemented
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Date: ___________
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[X] Step 2.1 COMPLETED - Hypothesis generation framework implemented
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Date: 2024-12-08
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Test Result: Can generate hypotheses for test tasks
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Notes: ________________________________
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Notes: Basic geometric, color, pattern, and translation hypotheses added
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```
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---
@@ -307,12 +307,12 @@ class AnalogicalReasoner:
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pass
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```
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**PROGRESS MARKER**:
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**PROGRESS MARKER**:
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```
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[ ] Step 2.2 COMPLETED - Analogical reasoning enhanced beyond surface similarity
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Date: ___________
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Test Result: ___% accuracy improvement from analogical transfer
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Notes: ________________________________
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[X] Step 2.2 COMPLETED - Analogical reasoning enhanced beyond surface similarity
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Date: 2024-12-08
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Test Result: Analogical reasoner retrieves similar episodes in unit tests
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Notes: Initial structural similarity and mapping implemented
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```
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---

arc_solver/hypothesis.py

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@@ -0,0 +1,245 @@
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"""Hypothesis generation and testing for fluid intelligence in ARC tasks.
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This module implements a lightweight hypothesis generation framework. It is
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not meant to be an exhaustive reasoning system but rather a scaffold that can
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be extended in later phases. The engine analyses training pairs and proposes
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plausible transformations together with simple confidence estimates.
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"""
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from __future__ import annotations
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from dataclasses import dataclass
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from typing import Any, Dict, List, Optional, Tuple
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import numpy as np
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from .grid import Array
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@dataclass
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class Hypothesis:
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"""Represents a hypothesis about task transformation."""
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description: str
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transformation_type: str # "rotation", "color_swap", "pattern_fill", etc.
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confidence: float
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evidence: List[Dict[str, Any]]
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program_sketch: Optional[List[Tuple[str, Dict[str, Any]]]] = None
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class HypothesisEngine:
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"""Generates and tests hypotheses about ARC task transformations."""
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# ------------------------------------------------------------------
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# Public API
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# ------------------------------------------------------------------
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def generate_hypotheses(self, train_pairs: List[Tuple[Array, Array]]) -> List[Hypothesis]:
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"""Generate multiple competing hypotheses about the task transformation."""
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hypotheses: List[Hypothesis] = []
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# 1. Geometric transformation hypotheses
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hypotheses.extend(self._generate_geometric_hypotheses(train_pairs))
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# 2. Color transformation hypotheses
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hypotheses.extend(self._generate_color_hypotheses(train_pairs))
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# 3. Pattern completion hypotheses
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hypotheses.extend(self._generate_pattern_hypotheses(train_pairs))
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# 4. Object manipulation hypotheses
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hypotheses.extend(self._generate_object_hypotheses(train_pairs))
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return sorted(hypotheses, key=lambda h: h.confidence, reverse=True)
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def test_hypothesis(self, hypothesis: Hypothesis, train_pairs: List[Tuple[Array, Array]]) -> float:
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"""Test hypothesis validity against training data.
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Returns a confidence score between 0 and 1 based on how many training
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pairs are perfectly explained by the hypothesis.
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"""
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if not train_pairs:
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return 0.0
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matches = 0
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for inp, out in train_pairs:
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pred = self.apply(hypothesis, inp)
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if pred is not None and pred.shape == out.shape and np.array_equal(pred, out):
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matches += 1
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return matches / len(train_pairs)
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def refine_hypothesis(self, hypothesis: Hypothesis, feedback: Dict[str, Any]) -> Hypothesis:
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"""Refine hypothesis based on test results.
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A very small refinement mechanism is provided for now: the confidence is
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updated if feedback contains a ``confidence`` field and any additional
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evidence is appended to the hypothesis' evidence list.
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"""
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new_conf = float(feedback.get("confidence", hypothesis.confidence))
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new_evidence = hypothesis.evidence + [feedback.get("evidence", {})]
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return Hypothesis(
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description=hypothesis.description,
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transformation_type=hypothesis.transformation_type,
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confidence=new_conf,
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evidence=new_evidence,
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program_sketch=hypothesis.program_sketch,
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)
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# ------------------------------------------------------------------
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# Internal helpers
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# ------------------------------------------------------------------
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def apply(self, hypothesis: Hypothesis, grid: Array) -> Optional[Array]:
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"""Apply the hypothesis to a grid, returning the transformed grid."""
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try:
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if hypothesis.transformation_type == "rotation" and hypothesis.program_sketch:
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k = int(hypothesis.program_sketch[0][1].get("k", 0))
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return np.rot90(grid, k)
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if hypothesis.transformation_type == "color_swap" and hypothesis.program_sketch:
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mapping = hypothesis.program_sketch[0][1].get("mapping", {})
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result = grid.copy()
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for src, dst in mapping.items():
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result[grid == src] = dst
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return result
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if hypothesis.transformation_type == "pattern_fill" and hypothesis.program_sketch:
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color = int(hypothesis.program_sketch[0][1].get("color", 0))
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return np.full_like(grid, color)
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if hypothesis.transformation_type == "object_translation" and hypothesis.program_sketch:
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params = hypothesis.program_sketch[0][1]
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dy = int(params.get("dy", 0))
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dx = int(params.get("dx", 0))
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h, w = grid.shape
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result = np.zeros_like(grid)
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ys, xs = np.nonzero(grid)
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ys_new = ys + dy
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xs_new = xs + dx
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if (
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(ys_new < 0).any()
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or (ys_new >= h).any()
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or (xs_new < 0).any()
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or (xs_new >= w).any()
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):
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return None
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result[ys_new, xs_new] = grid[ys, xs]
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return result
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except Exception:
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return None
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return None
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# Hypothesis generation subroutines ---------------------------------
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def _generate_geometric_hypotheses(self, train_pairs: List[Tuple[Array, Array]]) -> List[Hypothesis]:
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hyps: List[Hypothesis] = []
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rotations = [1, 2, 3] # 90, 180, 270 degrees
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for k in rotations:
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evidence: List[Dict[str, Any]] = []
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matches = 0
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for idx, (inp, out) in enumerate(train_pairs):
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rotated = np.rot90(inp, k)
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match = rotated.shape == out.shape and np.array_equal(rotated, out)
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evidence.append({"pair": idx, "rotation": k * 90, "match": match})
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if match:
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matches += 1
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confidence = matches / len(train_pairs)
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if confidence > 0:
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hyps.append(
142+
Hypothesis(
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description=f"Rotate input by {k * 90} degrees",
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transformation_type="rotation",
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confidence=confidence,
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evidence=evidence,
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program_sketch=[("rotate", {"k": k})],
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)
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)
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return hyps
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def _generate_color_hypotheses(self, train_pairs: List[Tuple[Array, Array]]) -> List[Hypothesis]:
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hyps: List[Hypothesis] = []
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global_mapping: Dict[int, int] = {}
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evidence: List[Dict[str, Any]] = []
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consistent = True
157+
for idx, (inp, out) in enumerate(train_pairs):
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mapping: Dict[int, int] = {}
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for ci, co in zip(inp.flat, out.flat):
160+
if ci in mapping and mapping[ci] != int(co):
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consistent = False
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break
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if ci != co:
164+
mapping[ci] = int(co)
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evidence.append({"pair": idx, "mapping": mapping})
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for k, v in mapping.items():
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if k in global_mapping and global_mapping[k] != v:
168+
consistent = False
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break
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global_mapping[k] = v
171+
if not consistent:
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break
173+
if consistent and global_mapping:
174+
hyps.append(
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Hypothesis(
176+
description=f"Recolor using mapping {global_mapping}",
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transformation_type="color_swap",
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confidence=1.0,
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evidence=evidence,
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program_sketch=[("recolor", {"mapping": global_mapping})],
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)
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)
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return hyps
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def _generate_pattern_hypotheses(self, train_pairs: List[Tuple[Array, Array]]) -> List[Hypothesis]:
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hyps: List[Hypothesis] = []
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colors = [np.unique(out) for _, out in train_pairs]
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if colors and all(len(c) == 1 for c in colors):
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color = int(colors[0][0])
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evidence = [{"pair": idx, "color": int(c[0])} for idx, c in enumerate(colors)]
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hyps.append(
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Hypothesis(
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description=f"Fill grid with color {color}",
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transformation_type="pattern_fill",
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confidence=1.0,
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evidence=evidence,
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program_sketch=[("fill", {"color": color})],
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)
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)
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return hyps
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def _find_translation(self, inp: Array, out: Array) -> Optional[Tuple[int, int]]:
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if inp.shape != out.shape:
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return None
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coords_in = np.argwhere(inp != 0)
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coords_out = np.argwhere(out != 0)
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if len(coords_in) == 0 or len(coords_out) == 0 or len(coords_in) != len(coords_out):
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return None
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shift = coords_out[0] - coords_in[0]
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h, w = inp.shape
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translated = np.zeros_like(inp)
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ys = coords_in[:, 0] + shift[0]
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xs = coords_in[:, 1] + shift[1]
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if (ys < 0).any() or (ys >= h).any() or (xs < 0).any() or (xs >= w).any():
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return None
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translated[ys, xs] = inp[coords_in[:, 0], coords_in[:, 1]]
217+
if np.array_equal(translated, out):
218+
return int(shift[0]), int(shift[1])
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return None
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def _generate_object_hypotheses(self, train_pairs: List[Tuple[Array, Array]]) -> List[Hypothesis]:
222+
hyps: List[Hypothesis] = []
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shifts: List[Tuple[int, int]] = []
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evidence: List[Dict[str, Any]] = []
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for idx, (inp, out) in enumerate(train_pairs):
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trans = self._find_translation(inp, out)
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evidence.append({"pair": idx, "shift": trans})
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if trans is not None:
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shifts.append(trans)
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if not shifts:
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return hyps
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common = shifts[0]
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if any(s != common for s in shifts):
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return hyps
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confidence = len(shifts) / len(train_pairs)
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hyps.append(
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Hypothesis(
238+
description=f"Translate object by {common}",
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transformation_type="object_translation",
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confidence=confidence,
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evidence=evidence,
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program_sketch=[("translate", {"dy": common[0], "dx": common[1]})],
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)
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)
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return hyps

arc_solver/neural/__init__.py

Lines changed: 2 additions & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -1,7 +1,7 @@
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"""Neural components for the ARC solver."""
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from .guidance import SimpleClassifier, HeuristicGuidance, NeuralGuidance
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from .episodic import Episode, EpisodeDatabase, EpisodicRetrieval
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from .episodic import Episode, EpisodeDatabase, EpisodicRetrieval, AnalogicalReasoner
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from .sketches import ProgramSketch, SketchMiner, generate_parameter_grid
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__all__ = [
@@ -11,6 +11,7 @@
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"Episode",
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"EpisodeDatabase",
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"EpisodicRetrieval",
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"AnalogicalReasoner",
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"ProgramSketch",
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"SketchMiner",
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"generate_parameter_grid",

arc_solver/neural/episodic.py

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Original file line numberDiff line numberDiff line change
@@ -364,3 +364,67 @@ def get_stats(self) -> Dict[str, Any]:
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"""Return statistics about the episodic database."""
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return self.database.get_statistics()
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class AnalogicalReasoner:
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"""Advanced analogical reasoning for ARC tasks."""
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def find_structural_analogies(
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self,
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current_task: List[Tuple[Array, Array]],
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memory: EpisodicRetrieval,
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threshold: float = 0.6,
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max_results: int = 5,
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) -> List[Tuple[Episode, float]]:
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"""Find tasks with similar abstract structure, not just surface features."""
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if not current_task:
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return []
382+
query_features = extract_task_features(current_task)
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results: List[Tuple[Episode, float]] = []
384+
for episode in memory.database.episodes.values():
385+
sim = memory.database._compute_similarity(query_features, episode.features)
386+
if sim >= threshold:
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results.append((episode, sim))
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results.sort(key=lambda x: x[1], reverse=True)
389+
return results[:max_results]
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def map_solution_structure(
392+
self,
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source_solution: Program,
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target_task: List[Tuple[Array, Array]],
395+
) -> Program:
396+
"""Map solution from analogous task to current task."""
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if not source_solution:
399+
return []
400+
recolor_mapping: Dict[int, int] = {}
401+
if target_task:
402+
inp, out = target_task[0]
403+
for ci, co in zip(inp.flat, out.flat):
404+
if ci != co:
405+
recolor_mapping[int(ci)] = int(co)
406+
mapped: Program = []
407+
for op, params in source_solution:
408+
if op == "recolor" and recolor_mapping:
409+
mapped.append((op, {"mapping": recolor_mapping}))
410+
else:
411+
mapped.append((op, params))
412+
return mapped
413+
414+
def abstract_common_patterns(
415+
self, similar_tasks: List[List[Tuple[Array, Array]]]
416+
) -> Dict[str, float]:
417+
"""Extract abstract transformation rules from multiple similar tasks."""
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419+
if not similar_tasks:
420+
return {}
421+
feature_dicts = [extract_task_features(t) for t in similar_tasks if t]
422+
if not feature_dicts:
423+
return {}
424+
keys = set().union(*(fd.keys() for fd in feature_dicts))
425+
pattern: Dict[str, float] = {}
426+
for k in keys:
427+
vals = [float(fd.get(k, 0.0)) for fd in feature_dicts]
428+
pattern[k] = float(np.mean(vals))
429+
return pattern
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