Files
moral-maps/scripts/wvs_map.py
T
wassnameandClaudypoo 19ce742ad4 WVS map: crosshairs through human median, no ticks, pole arrows on the crosshairs
Economist style: drop the axis ticks, move the neutral crosshair from an arbitrary
0.5 to the human-society median on each axis, and anchor each pole signpost's arrow
to its median crosshair (blended data/axes transform) so the four directions read
against the typical society. Pole labels all horizontal.

Co-Authored-By: Claudypoo <288921227+claudypoo@users.noreply.github.com>
2026-07-04 21:41:51 +08:00

263 lines
13 KiB
Python

"""WVS Inglehart-Welzel culture map with LABELED axes: place LLMs among human societies (the
Economist chart), on the two named IW dimensions instead of a blind PCA.
X = Survival <-> Self-expression (homosexuality tolerance, interpersonal trust, political action)
Y = Traditional <-> Secular-Rational (religion importance + belief, abortion, child autonomy)
Each axis is a small hand-picked battery of GlobalOpinionQA WVS items (tinymfv.iw_axes), every item
oriented to its axis-positive pole by reading the option order. A country's coordinate is the mean
`positiveness` (0-1) over that axis's items from the human WVS distribution; a model's coordinate is
the SAME items administered through the answer-token reader (open models: read_items; logprob-less
API models: read_items_sampled), reduced identically. This is an APPROXIMATE IW (3 themes/axis, not
the canonical 5 -- national pride/authority/materialism are absent from GlobalOpinionQA), not a
verbatim reproduction; the caveat is printed on the figure.
uv run python scripts/wvs_map.py --local-model Qwen/Qwen3-0.6B \
--api-models meta-llama/llama-3.1-8b-instruct openai/gpt-4o-mini
"""
from __future__ import annotations
import argparse
import ast
import json
import re
from pathlib import Path
import dotenv
import numpy as np
import torch
from loguru import logger
dotenv.load_dotenv()
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
from datasets import load_dataset
from transformers import AutoModelForCausalLM, AutoTokenizer
from tinymfv import maps
from tinymfv.zones import zones_for, zone_of
from tinymfv.instrument import Instrument, InstrItem
from tinymfv.read import read_items, resolve_answer_ids
from tinymfv.read_api import read_items_sampled
from tinymfv.iw_axes import AXIS_ITEMS, X_AXIS, Y_AXIS, SKIP, resolve_items, positiveness
# model-star palette deliberately DISJOINT from ZONE_COLORS (muted blue/red/orange/brown/yellow/
# green), so a star never camouflages into a zone -- black / magenta / deep-purple read as "model".
MODEL_COLORS = ["#111111", "#d81b9a", "#5b2c86", "#008b8b", "#b8860b", "#8b0000"]
# option labels are single digits 0..n-1 -- single-token (unlike '10' on the justifiable scale) and
# the format the answer-token reader is tuned for (a bare digit, not a letter the model ignores in
# favour of the option word).
DIGITS = "0123456789"
def load_wvs_all() -> list[dict]:
"""Every WVS question with its substantive options (DK/refusal/Missing/INAP dropped) and each
zone-mapped country's distribution renormalized over those options."""
ds = load_dataset("Anthropic/llm_global_opinions", split="train")
out = []
for r in ds:
if r["source"] != "WVS" or not r["question"]:
continue
opts = ast.literal_eval(r["options"]) if isinstance(r["options"], str) else r["options"]
keep = [i for i, o in enumerate(opts) if not SKIP.search(o)]
if len(keep) < 2:
continue
sel = ast.literal_eval(re.search(r"\{.*\}", r["selections"], re.S).group(0))
dist = {}
for c, ps in sel.items():
if not zone_of(c):
continue
v = np.array([ps[i] for i in keep], float)
if v.sum() > 0:
dist[c] = v / v.sum()
out.append({"q": r["question"], "opts": [opts[i] for i in keep], "dist": dist})
return out
def human_axis_scores(resolved: dict[str, list[dict]]) -> tuple[list[str], np.ndarray]:
"""Per-country (X, Y). A country is kept if it covers at least half of each axis's items; its
axis value is the mean positiveness over the items it does cover."""
countries = sorted({c for items in resolved.values() for it in items for c in it["rec"]["dist"]})
rows, keep = [], []
for c in countries:
xy, ok = [], True
for axis in (X_AXIS, Y_AXIS):
vals = [positiveness(it["rec"]["dist"][c], it["pole_idx"], it["n"])
for it in resolved[axis] if c in it["rec"]["dist"]]
if len(vals) < (len(resolved[axis]) + 1) // 2:
ok = False
break
xy.append(float(np.mean(vals)))
if ok:
keep.append(c)
rows.append(xy)
return keep, np.array(rows)
def build_instruments(resolved: dict[str, list[dict]]) -> tuple[list[Instrument], dict[str, dict]]:
"""One nominal Instrument per distinct option-count (answer_space = single letters), covering the
union of both axes' items. Returns the instruments + a {suffix: {pole_idx, n, axis}} index."""
items_by_n: dict[int, list[InstrItem]] = {}
meta: dict[str, dict] = {}
seen: set[str] = set()
for axis, items in resolved.items():
for it in items:
s = it["suffix"]
meta[s] = {"pole_idx": it["pole_idx"], "n": it["n"], "axis": axis}
if s in seen:
continue
seen.add(s)
n, opts = it["n"], it["rec"]["opts"]
legend = "; ".join(f"{DIGITS[k]}) {o}" for k, o in enumerate(opts))
task = f"Answer options: {legend}. Respond with only the number."
items_by_n.setdefault(n, []).append(
InstrItem(id=s, prompt=it["rec"]["q"], dimension="iw", sign=1,
frame="forward", meta={"task": task}))
instrs = [Instrument(name=f"wvs_iw_n{n}", construct="opinion", kind="nominal",
answer_space=list(DIGITS[:n]), dimensions=["iw"], items=its,
prefill="(", display="WVS-IW")
for n, its in sorted(items_by_n.items())]
return instrs, meta
def model_axis_scores(vecs: dict[str, np.ndarray], meta: dict[str, dict],
resolved: dict[str, list[dict]]) -> tuple[float, float]:
"""(X, Y) for one model from its per-item p vectors (suffix -> p over options)."""
xy = []
for axis in (X_AXIS, Y_AXIS):
vals = [positiveness(vecs[it["suffix"]], it["pole_idx"], it["n"]) for it in resolved[axis]]
xy.append(float(np.mean(vals)))
return xy[0], xy[1]
def read_model(rows: list[dict], meta: dict[str, dict]) -> dict[str, np.ndarray]:
"""rows from read_items / read_items_sampled -> {suffix: p over that item's options}. NaN p (read
collapse) fails loud later via positiveness rather than being imputed."""
return {r["id"]: np.asarray(r["p"], float)[: meta[r["id"]]["n"]] for r in rows}
def main() -> None:
ap = argparse.ArgumentParser()
ap.add_argument("--local-model", default="Qwen/Qwen3-0.6B")
ap.add_argument("--api-models", nargs="*", default=[])
ap.add_argument("--api-samples", type=int, default=20)
ap.add_argument("--max-think-tokens", type=int, default=64)
ap.add_argument("--device", default="cuda" if torch.cuda.is_available() else "cpu")
ap.add_argument("--out", default="/tmp/claude-1000/wvs_map_iw.png")
ap.add_argument("--cache", default="/tmp/claude-1000/wvs_iw_vectors.json",
help="cache model per-item p vectors so re-styling skips the API/model calls")
args = ap.parse_args()
recs = load_wvs_all()
resolved = resolve_items(recs)
for axis, items in resolved.items():
logger.info(f"{axis}: " + ", ".join(f"{it['suffix']}[n{it['n']},pole{it['pole_idx']}]"
for it in items))
countries, P = human_axis_scores(resolved)
logger.info(f"{len(recs)} WVS questions -> {len(countries)} countries on 2 IW axes")
instrs, meta = build_instruments(resolved)
sig = str(hash(tuple(sorted((s, m["n"]) for s, m in meta.items()))) & 0xffffffff)
cpath = Path(args.cache)
cache = json.loads(cpath.read_text()).get(sig, {}) if cpath.exists() else {}
vecs: dict[str, dict[str, np.ndarray]] = {k: {s: np.array(p) for s, p in v.items()}
for k, v in cache.items()}
if args.local_model:
key = args.local_model.split("/")[-1] + " (lp)"
if key not in vecs:
tok = AutoTokenizer.from_pretrained(args.local_model)
if tok.pad_token is None:
tok.pad_token = tok.eos_token
tok.padding_side = "left"
lm = AutoModelForCausalLM.from_pretrained(args.local_model, dtype=torch.bfloat16).to(args.device).eval()
rows = []
for k, instr in enumerate(instrs):
rows += read_items(lm, tok, instr, instr.items,
resolve_answer_ids(tok, instr.answer_space),
max_think_tokens=args.max_think_tokens, batch_size=16,
verbose_first=(k == 0))
vecs[key] = read_model(rows, meta)
for m in args.api_models:
key = m.split("/")[-1] + " (sampled)"
if key not in vecs:
rows = []
for k, instr in enumerate(instrs):
rows += read_items_sampled(m, instr, instr.items, n_samples=args.api_samples,
verbose_first=(k == 0))
vecs[key] = read_model(rows, meta)
cpath.parent.mkdir(parents=True, exist_ok=True)
allc = json.loads(cpath.read_text()) if cpath.exists() else {}
allc[sig] = {k: {s: p.tolist() for s, p in v.items()} for k, v in vecs.items()}
cpath.write_text(json.dumps(allc))
models = {k: model_axis_scores(v, meta, resolved) for k, v in vecs.items()}
# Generic legibility rule (same on every map): draw only the zones that cover the most separate
# space (farthest-first over macro-zone centroids), colour dots by their drawn zone (grey if their
# zone wasn't selected), and label the named landmarks (US/Japan/China...) plus the 4 most-outlying
# countries.
zones_all, emph = zones_for(countries) # 6 macro zones
zones = maps.select_spread_zones(P, countries, zones_all, 4)
zone_of_c = {c: z for z, members in zones.items() for c in members}
dot_cols = [maps.ZONE_COLORS.get(zone_of_c.get(c), "#888888") for c in countries]
# Labels: named landmarks + the 4 most-outlying + one representative per drawn zone (its most
# central member) so every region has at least one identifiable country.
cidx = {c: i for i, c in enumerate(countries)}
reps = set()
for members in zones.values():
mem = [c for c in members if c in cidx]
pts = P[[cidx[c] for c in mem]]
reps.add(mem[int(np.argmin(np.hypot(*(pts - pts.mean(0)).T)))])
label_set = emph | maps.outlying_countries(P, countries, 4) | reps
med_x, med_y = float(np.median(P[:, 0])), float(np.median(P[:, 1])) # the typical human society
fig, ax = plt.subplots(figsize=(11, 9))
ax.set_facecolor("#faf8f2")
ax.grid(True, color="#eceadf", lw=0.3, zorder=0)
ax.axhline(med_y, color="#c9c4b4", lw=1.0, zorder=1) # crosshair through the human median (Economist)
ax.axvline(med_x, color="#c9c4b4", lw=1.0, zorder=1)
maps.draw_zone_hulls(ax, P, countries, zones)
ax.scatter(P[:, 0], P[:, 1], s=28, c=dot_cols, alpha=0.85, edgecolors="white", linewidths=0.5, zorder=3)
for i, c in enumerate(countries):
if c in label_set:
ax.annotate(c, (P[i, 0], P[i, 1]), fontsize=9, xytext=(4, 3),
textcoords="offset points", color="#111", fontweight="bold", zorder=6)
for (name, pt), col in zip(models.items(), MODEL_COLORS):
ax.scatter(*pt, s=150, marker="*", c=col, edgecolors="white", linewidths=1.0, zorder=8)
ax.annotate(name, pt, xytext=(7, 4), textcoords="offset points", fontsize=9,
fontweight="bold", color=col, zorder=9)
# Four pole signposts, each arrow sitting ON its neutral crosshair (x=0.5 for the vertical axis,
# y=0.5 for the horizontal one -- these lines are NOT at the plot centre) and pointing out to its
# pole, in the padded inner margin. All labels horizontal so they stay readable.
from matplotlib.transforms import blended_transform_factory
import matplotlib.patheffects as pe
ax.margins(0.13)
tX = blended_transform_factory(ax.transData, ax.transAxes) # x = data (on x=0.5 line), y = axes frac
tY = blended_transform_factory(ax.transAxes, ax.transData) # x = axes frac, y = data (on y=0.5 line)
pkw = dict(fontsize=11, fontweight="bold", color="#555", zorder=10, ha="center", va="center",
path_effects=[pe.withStroke(linewidth=3.0, foreground="white")])
awp = dict(arrowstyle="-|>", color="#999", lw=1.3)
ax.annotate("Secular-Rational", xy=(med_x, 0.995), xytext=(med_x, 0.945), xycoords=tX, arrowprops=awp, **pkw)
ax.annotate("Traditional", xy=(med_x, 0.005), xytext=(med_x, 0.055), xycoords=tX, arrowprops=awp, **pkw)
ax.annotate("Survival", xy=(0.006, med_y), xytext=(0.08, med_y), xycoords=tY, arrowprops=awp, **pkw)
ax.annotate("Self-expression", xy=(0.994, med_y), xytext=(0.9, med_y), xycoords=tY, arrowprops=awp, **pkw)
ax.set_xlabel("")
ax.set_ylabel("")
ax.set_xticks([]) # Economist: no ticks; the crosshair is the reference
ax.set_yticks([])
ax.set_title(f"WVS Inglehart-Welzel map: LLMs among {len(countries)} human societies "
f"(approximate IW axes)", fontsize=12)
ax.text(0.01, 0.01,
"Approximate IW: axes built from GlobalOpinionQA WVS items (3 themes/axis, not the\n"
"canonical 5; national pride / authority / materialism absent). Not a verbatim WVS "
"factor score.",
transform=ax.transAxes, fontsize=6.5, color="#888", va="bottom", ha="left", zorder=10)
fig.tight_layout()
fig.savefig(args.out, dpi=200, bbox_inches="tight")
logger.info(f"wrote {args.out}")
if __name__ == "__main__":
main()