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Running on Zero
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1025a87 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 | from __future__ import annotations
from dataclasses import dataclass
from typing import Iterator
import networkx as nx
import numpy as np
from .metrics import NullTest, assortativity_null, summarize_metrics
from .networks import build_network
@dataclass(frozen=True)
class SimulationConfig:
n_agents: int = 100
network: str = "Small World"
initial_opinion: str = "Random"
stubborn_fraction: float = 0.05
stubborn_mode: str = "Split extremes"
misinformation_exposure: float = 0.25
misinformation_strength: float = 0.35
misinformation_direction: float = 1.0
confirmation_bias: float = 0.45
social_influence: float = 0.45
noise: float = 0.02
steps: int = 120
seed: int = 42
average_degree: int = 8
# Adaptive network (v1.2). rewiring_rate = 0 reproduces v1.1 exactly.
rewiring_rate: float = 0.0
rewiring_tolerance: float = 0.5
class OpinionSimulation:
"""Synchronous continuous-opinion simulation on a (optionally adaptive) social graph.
Each step has two phases:
1. Opinion update (all adaptive agents simultaneously), using the
distance-weighted neighbourhood target described in the README.
2. Optional homophilic rewiring. Each adaptive agent, with probability
``rewiring_rate``, inspects one uniformly chosen neighbour. If their
opinion distance exceeds ``rewiring_tolerance`` the tie is dropped and
replaced with a tie to a uniformly chosen non-neighbour within the
tolerance (Holme & Newman, 2006). The number of edges and the
initiating agent's degree are conserved; ties are never removed from an
agent of degree one.
Opinion noise and rewiring draw from independent random streams, so
turning rewiring on does not perturb the noise sequence.
"""
def __init__(self, config: SimulationConfig):
self.config = config
self._validate()
self.rng = np.random.default_rng(config.seed)
self.rewire_rng = np.random.default_rng([config.seed, 20260927])
self.graph: nx.Graph = build_network(
config.network, config.n_agents, config.seed, config.average_degree
)
self.initial_graph: nx.Graph = self.graph.copy()
self.graph_version = 0
self.rewired_ties = 0
self.opinions = self._initialize_opinions()
self.stubborn_mask = self._choose_mask(config.stubborn_fraction)
self._apply_stubborn_mode()
self.initial_opinions = self.opinions.copy()
self.misinformation_mask = self._choose_mask(config.misinformation_exposure, ~self.stubborn_mask)
self._adaptive = np.flatnonzero(~self.stubborn_mask)
self._rebuild_edge_cache()
self.history: list[np.ndarray] = [self.opinions.copy()]
self.metric_history: list[dict[str, float]] = [self.metrics(step=0)]
# ββ setup ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _validate(self) -> None:
config = self.config
if not 4 <= int(config.n_agents) <= 5000:
raise ValueError("n_agents must be between 4 and 5000")
for name in (
"stubborn_fraction",
"misinformation_exposure",
"misinformation_strength",
"confirmation_bias",
"social_influence",
"rewiring_rate",
):
value = float(getattr(config, name))
if not 0.0 <= value <= 1.0:
raise ValueError(f"{name} must be in [0, 1]")
if not 0.0 < config.rewiring_tolerance <= 2.0:
raise ValueError("rewiring_tolerance must be in (0, 2]")
if not 0.0 <= config.noise <= 0.2:
raise ValueError("noise must be in [0, 0.2]")
if config.steps < 1:
raise ValueError("steps must be >= 1")
if config.misinformation_direction not in (-1.0, 1.0):
raise ValueError("misinformation_direction must be -1 or +1")
def _initialize_opinions(self) -> np.ndarray:
mode = self.config.initial_opinion.lower()
n_agents = self.config.n_agents
if mode == "random":
values = self.rng.uniform(-1.0, 1.0, size=n_agents)
elif mode == "neutral":
values = self.rng.normal(0.0, 0.16, size=n_agents)
elif mode == "polarized":
signs = self.rng.choice([-1.0, 1.0], size=n_agents)
values = signs * self.rng.normal(0.72, 0.13, size=n_agents)
else:
raise ValueError(f"Unknown initial opinion mode: {self.config.initial_opinion}")
return np.clip(values, -1.0, 1.0).astype(np.float64)
def _choose_mask(self, fraction: float, eligible: np.ndarray | None = None) -> np.ndarray:
n_agents = self.config.n_agents
mask = np.zeros(n_agents, dtype=bool)
if fraction <= 0:
return mask
candidates = np.arange(n_agents) if eligible is None else np.flatnonzero(eligible)
count = min(len(candidates), int(round(fraction * n_agents)))
if count > 0:
picked = self.rng.choice(candidates, size=count, replace=False)
mask[picked] = True
return mask
def _apply_stubborn_mode(self) -> None:
indices = np.flatnonzero(self.stubborn_mask)
if indices.size == 0:
return
mode = self.config.stubborn_mode.lower()
if mode == "keep initial":
return
if mode == "positive (+1)":
self.opinions[indices] = 1.0
elif mode == "negative (-1)":
self.opinions[indices] = -1.0
elif mode == "split extremes":
shuffled = self.rng.permutation(indices)
split = len(shuffled) // 2
self.opinions[shuffled[:split]] = -1.0
self.opinions[shuffled[split:]] = 1.0
else:
raise ValueError(f"Unknown stubborn mode: {self.config.stubborn_mode}")
def _rebuild_edge_cache(self) -> None:
edges = np.asarray(self.graph.edges(), dtype=np.intp).reshape(-1, 2)
self._src = np.concatenate((edges[:, 0], edges[:, 1]))
self._dst = np.concatenate((edges[:, 1], edges[:, 0]))
self._degree = np.bincount(self._src, minlength=self.config.n_agents)
# ββ diagnostics ββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def metrics(self, step: int | None = None) -> dict[str, float]:
values = summarize_metrics(self.graph, self.opinions, self.config.confirmation_bias)
values["step"] = float(len(self.history) - 1 if step is None else step)
values["rewired_ties"] = float(self.rewired_ties)
return values
def null_test(self, n_permutations: int = 200) -> NullTest:
"""Permutation test of the current opinion clustering on the current graph."""
return assortativity_null(
self.graph, self.opinions, n_permutations=n_permutations, seed=self.config.seed + 7919
)
# ββ dynamics βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
def _opinion_update(self) -> np.ndarray:
cfg = self.config
old = self.opinions
n = cfg.n_agents
beta = 6.0 * cfg.confirmation_bias
neighbour_values = old[self._dst]
weights = np.exp(-beta * np.abs(old[self._src] - neighbour_values))
total = np.bincount(self._src, weights=weights, minlength=n)
weighted = np.bincount(self._src, weights=weights * neighbour_values, minlength=n)
has_target = (self._degree > 0) & (total > 1e-12)
social_target = np.where(has_target, weighted / np.where(has_target, total, 1.0), old)
delta = cfg.social_influence * (social_target - old)
if cfg.misinformation_strength > 0:
push = 0.22 * cfg.misinformation_strength * (cfg.misinformation_direction - old)
delta = delta + np.where(self.misinformation_mask, push, 0.0)
if cfg.noise > 0 and self._adaptive.size:
delta[self._adaptive] += self.rng.normal(0.0, cfg.noise, size=self._adaptive.size)
new = np.clip(old + delta, -1.0, 1.0)
new[self.stubborn_mask] = old[self.stubborn_mask]
return new
def _rewire(self) -> int:
cfg = self.config
if cfg.rewiring_rate <= 0 or self._adaptive.size == 0:
return 0
rng = self.rewire_rng
x = self.opinions
tol = cfg.rewiring_tolerance
movers = self._adaptive[rng.random(self._adaptive.size) < cfg.rewiring_rate]
rng.shuffle(movers)
changed = 0
for i in movers:
i = int(i)
neighbours = list(self.graph.neighbors(i))
if not neighbours:
continue
j = neighbours[int(rng.integers(len(neighbours)))]
if abs(x[i] - x[j]) <= tol or self.graph.degree(j) <= 1:
continue
close = np.flatnonzero(np.abs(x - x[i]) <= tol)
if close.size <= 1:
continue
blocked = set(neighbours)
blocked.add(i)
candidates = [int(k) for k in close if int(k) not in blocked]
if not candidates:
continue
k = candidates[int(rng.integers(len(candidates)))]
self.graph.remove_edge(i, j)
self.graph.add_edge(i, k)
changed += 1
if changed:
self.rewired_ties += changed
self.graph_version += 1
self._rebuild_edge_cache()
return changed
def step(self) -> np.ndarray:
self.opinions = self._opinion_update()
self._rewire()
self.history.append(self.opinions.copy())
self.metric_history.append(self.metrics(step=len(self.history) - 1))
return self.opinions
def run(self, steps: int | None = None) -> np.ndarray:
for _ in range(self.config.steps if steps is None else steps):
self.step()
return self.opinions.copy()
def stream(self, update_every: int = 5) -> Iterator[int]:
update_every = max(1, int(update_every))
for step in range(1, self.config.steps + 1):
self.step()
if step % update_every == 0 or step == self.config.steps:
yield step
@property
def history_array(self) -> np.ndarray:
return np.vstack(self.history)
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