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models/lsr.py
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| 1 |
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"""
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| 2 |
+
Latent Space Roadmap (LSR).
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| 3 |
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Graph construction:
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+
1. Encode all training frames → latent cloud Z.
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2. For each node, find its k nearest neighbours.
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3. Keep an edge (i, j) only when the pair appears as consecutive
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| 8 |
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timesteps in at least one training trajectory (i.e. a real action
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connects them). This prevents the planner from taking shortcuts
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through physically unreachable states.
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Planning:
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Given z_start and z_goal, snap to nearest graph nodes then run
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Dijkstra weighted by Euclidean latent distance.
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"""
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import heapq
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from typing import Dict, List, Optional, Tuple
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import numpy as np
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from scipy.spatial import KDTree
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class LSR:
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def __init__(self, k: int = 10):
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self.k = k
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self.latents: Optional[np.ndarray] = None
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self.tree: Optional[KDTree] = None
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# adjacency: node → [(neighbour, euclidean_weight), ...]
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| 30 |
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self.graph: Dict[int, List[Tuple[int, float]]] = {}
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# valid_transitions: (i, j) → action that takes state_i → state_j
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self.valid_transitions: Dict[Tuple[int, int], np.ndarray] = {}
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| 33 |
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# ------------------------------------------------------------------
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| 35 |
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# Graph construction
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| 36 |
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# ------------------------------------------------------------------
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| 37 |
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| 38 |
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def build(
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self,
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| 40 |
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latents: np.ndarray,
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| 41 |
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episodes: List[List[int]],
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| 42 |
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actions: np.ndarray,
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| 43 |
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) -> None:
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| 44 |
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"""
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| 45 |
+
latents : (N, z_dim) — encoded training frames
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| 46 |
+
episodes : list of index-lists, one list per trajectory
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| 47 |
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actions : (N, action_dim) — action[i] moves frame i → frame i+1
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| 48 |
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"""
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| 49 |
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self.latents = latents.copy()
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self.tree = KDTree(latents)
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| 51 |
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self.graph = {}
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| 52 |
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self.valid_transitions = {}
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| 53 |
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# Record every consecutive transition
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| 55 |
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for ep in episodes:
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for t in range(len(ep) - 1):
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i, j = ep[t], ep[t + 1]
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| 58 |
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self.valid_transitions[(i, j)] = actions[i]
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| 59 |
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| 60 |
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valid_set = set(self.valid_transitions.keys())
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| 61 |
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n = len(latents)
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| 62 |
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| 63 |
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for i in range(n):
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| 64 |
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_, nbrs = self.tree.query(latents[i], k=min(self.k + 1, n))
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| 65 |
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for j in nbrs[1:]: # skip self
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| 66 |
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j = int(j)
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| 67 |
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if (i, j) in valid_set or (j, i) in valid_set:
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| 68 |
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w = float(np.linalg.norm(latents[i] - latents[j]))
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| 69 |
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self.graph.setdefault(i, []).append((j, w))
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| 70 |
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self.graph.setdefault(j, []).append((i, w))
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| 71 |
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| 72 |
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# ------------------------------------------------------------------
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| 73 |
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# Planning
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| 74 |
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# ------------------------------------------------------------------
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| 75 |
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| 76 |
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def _dijkstra(self, src: int, dst: int) -> Optional[List[int]]:
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dist: Dict[int, float] = {src: 0.0}
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| 78 |
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prev: Dict[int, int] = {}
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| 79 |
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pq = [(0.0, src)]
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| 80 |
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visited: set = set()
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| 81 |
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| 82 |
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while pq:
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| 83 |
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d, u = heapq.heappop(pq)
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| 84 |
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if u in visited:
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| 85 |
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continue
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| 86 |
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visited.add(u)
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| 87 |
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| 88 |
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if u == dst:
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| 89 |
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path, cur = [], dst
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| 90 |
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while cur != src:
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| 91 |
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path.append(cur)
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| 92 |
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cur = prev[cur]
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path.append(src)
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return path[::-1]
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for v, w in self.graph.get(u, []):
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nd = d + w
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| 98 |
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if nd < dist.get(v, float("inf")):
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dist[v] = nd
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prev[v] = u
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heapq.heappush(pq, (nd, v))
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return None # no path
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def plan(
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| 106 |
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self,
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| 107 |
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start_z: np.ndarray,
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| 108 |
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goal_z: np.ndarray,
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| 109 |
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) -> Optional[Tuple[List[int], np.ndarray]]:
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| 110 |
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"""
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| 111 |
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Returns (node_indices_along_path, latent_path) or None if no path.
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| 112 |
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"""
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| 113 |
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if self.tree is None or self.latents is None:
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raise RuntimeError("Call build() before plan().")
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| 116 |
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_, (n_start,) = self.tree.query(start_z.reshape(1, -1), k=1)
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| 117 |
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_, (n_goal,) = self.tree.query(goal_z.reshape(1, -1), k=1)
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| 118 |
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n_start, n_goal = int(n_start), int(n_goal)
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| 119 |
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| 120 |
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if n_start == n_goal:
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return [n_start], self.latents[[n_start]]
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| 122 |
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| 123 |
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path = self._dijkstra(n_start, n_goal)
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| 124 |
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if path is None:
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return None
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| 126 |
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| 127 |
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return path, self.latents[path]
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| 128 |
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| 129 |
+
def get_actions_for_path(self, path: List[int]) -> List[Optional[np.ndarray]]:
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| 130 |
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"""Return the training action for each consecutive node pair in path."""
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| 131 |
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actions = []
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| 132 |
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for i in range(len(path) - 1):
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| 133 |
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key = (path[i], path[i + 1])
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| 134 |
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rev = (path[i + 1], path[i])
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| 135 |
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if key in self.valid_transitions:
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| 136 |
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actions.append(self.valid_transitions[key])
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| 137 |
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elif rev in self.valid_transitions:
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| 138 |
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actions.append(self.valid_transitions[rev])
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| 139 |
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else:
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| 140 |
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actions.append(None)
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| 141 |
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return actions
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| 142 |
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| 143 |
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# ------------------------------------------------------------------
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| 144 |
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# Persistence
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| 145 |
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# ------------------------------------------------------------------
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| 146 |
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| 147 |
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def save(self, path: str) -> None:
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| 148 |
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import pickle
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| 149 |
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state = {
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| 150 |
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"k": self.k,
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| 151 |
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"latents": self.latents,
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| 152 |
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"graph": self.graph,
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| 153 |
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"valid_transitions": self.valid_transitions,
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| 154 |
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}
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| 155 |
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with open(path, "wb") as f:
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| 156 |
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pickle.dump(state, f)
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| 157 |
+
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| 158 |
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@classmethod
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| 159 |
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def load(cls, path: str) -> "LSR":
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| 160 |
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import pickle
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| 161 |
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with open(path, "rb") as f:
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| 162 |
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state = pickle.load(f)
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| 163 |
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lsr = cls(k=state["k"])
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| 164 |
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lsr.latents = state["latents"]
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| 165 |
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lsr.graph = state["graph"]
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| 166 |
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lsr.valid_transitions = state["valid_transitions"]
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| 167 |
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if lsr.latents is not None:
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| 168 |
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lsr.tree = KDTree(lsr.latents)
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| 169 |
+
return lsr
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