| """Render the correlation heatmap (FinePhrase Figure 22 style). |
| |
| Columns are the 20 downstream metrics grouped into 7 families. Rows are four |
| predictor blocks: DCLM, Edu, and embedding-based diversity (the playbook's own |
| predictors, for reference), then the G-Vendi block (Published, Reproduced, Base |
| model, and Base model scored within-prompt). Every row but the last is the |
| raw-pooled Spearman; the last is the within-prompt z-scored version. Cell colour |
| is the correlation, the star is significance. All rows are computed on the same |
| 83-cell grid (joined by run), so they are directly comparable. |
| |
| Inputs (relative to the artifact root): |
| data/pub.json, data/{repro,prx06bb}/*.json |
| data/reference_predictors.json (per-run DCLM / Edu / diversity values) |
| data/downstream_scores.json (per-run downstream scores, Figure 22 source) |
| |
| Writes correlation_heatmap.png. Needs matplotlib + numpy + scipy. |
| Run: python make_heatmap.py |
| """ |
| import glob, json, math |
| from collections import defaultdict |
|
|
| import numpy as np |
| import matplotlib |
| matplotlib.use("Agg") |
| import matplotlib.pyplot as plt |
| from matplotlib.patches import FancyBboxPatch |
| from scipy.stats import spearmanr |
|
|
| |
| COLUMN_GROUPS = [ |
| ("OVERALL", [("macro", "Macro Avg", True), ("micro", "Micro Avg", True)]), |
| ("KNOWLEDGE", [ |
| ("GK", "GK Agg", True), ("arc", "ARC Easy", False), ("mmlu", "MMLU Redux", False)]), |
| ("READING", [ |
| ("RC", "RC Agg", True), ("squad", "SQuAD v2", False), ("drop", "DROP", False)]), |
| ("REASONING", [ |
| ("RES", "RES Agg", True), ("obqa", "OpenBookQA", False), ("xcsqa", "XCSQA", False)]), |
| ("NLU", [ |
| ("NLU", "NLU Agg", True), ("wino", "WinoGrande", False), |
| ("piqa", "PIQA", False), ("hella", "HellaSwag", False)]), |
| ("MATH", [("MATH", "Math Agg", True), ("gsm8k", "GSM8K", False)]), |
| ("TABLE", [ |
| ("TABLE", "Table Agg", True), ("wikitab", "WikiTableQ", False), ("treb", "TriviaQA", False)]), |
| ] |
|
|
| SHORT_TO_COL = { |
| "macro": "agg_score_macro", "micro": "agg_score_micro", "RC": "agg_score_RC", |
| "GK": "agg_score_GK", "NLU": "agg_score_NLU", "MATH": "agg_score_MATH", |
| "TABLE": "agg_score_TABLE", "RES": "agg_score_RES", |
| "arc": "lighteval|arc_cf:easy|3/prob_norm_token", |
| "drop": "lighteval|drop|3/prob_norm_token", |
| "gsm8k": "lighteval|gsm8k|3/prob_norm_token", |
| "hella": "lighteval|hellaswag_cf|3/prob_norm_token", |
| "obqa": "lighteval|openbookqa_cf|3/prob_norm_token", |
| "piqa": "lighteval|piqa_cf|3/prob_norm_token", |
| "squad": "lighteval|squad_v2|3/prob_norm_token", |
| "treb": "lighteval|treb_qa|3/prob_norm_token", |
| "wikitab": "lighteval|wikitablequestions|3/prob_norm_token", |
| "wino": "lighteval|winogrande_cf|3/prob_norm_token", |
| "xcsqa": "lighteval|xcsqa_cf|3/prob_norm_token", |
| "mmlu": "lighteval|mmlu_redux_cf:_average|3/prob_norm_token", |
| } |
|
|
| EXCLUDED_FOOTNOTE1 = { |
| "format/article:1b-hq", "format/commentary:1b-hq", "format/discussion:1b-hq", |
| "format/tutorial:1b-hq", "format/tutorial:12b-hq", "format/faq:1b-lq", "format/faq:12b-lq", |
| } |
|
|
| |
| |
| |
| |
| _downstream = json.load(open("data/downstream_scores.json")) |
|
|
| def lookup_scores(bucket, prompt, suffix): |
| run = f"{bucket}/{prompt}-{suffix}" |
| if run in _downstream: |
| return {short: _downstream[run][col] for short, col in SHORT_TO_COL.items()} |
| return None |
|
|
| def load_by_cell(globpat): |
| out = {} |
| for fp in glob.glob(globpat): |
| d = json.load(open(fp)) |
| out[d["cell"]] = float(d["g_vendi"]) |
| return out |
|
|
| pub_gv = json.load(open("data/pub.json")) |
| ref = json.load(open("data/reference_predictors.json")) |
| gv = { |
| "repro": load_by_cell("data/repro/*.json"), |
| "prx06bb": load_by_cell("data/prx06bb/*.json"), |
| } |
|
|
| rows = [] |
| for cell_full in sorted(gv["repro"]): |
| if cell_full in EXCLUDED_FOOTNOTE1: |
| continue |
| bucket_prompt, suffix = cell_full.rsplit(":", 1) |
| bucket, prompt = bucket_prompt.split("/", 1) |
| pub_key = f"{bucket}/{prompt}-{suffix}" |
| if pub_key not in pub_gv or pub_key not in ref: |
| continue |
| scores = lookup_scores(bucket, prompt, suffix) |
| if scores is None: |
| continue |
| vals = {"pub": float(pub_gv[pub_key]["g_vendi_score"])} |
| vals.update({p: gv[p][cell_full] for p in gv}) |
| vals.update({k: (float(v) if v is not None else float("nan")) for k, v in ref[pub_key].items()}) |
| rows.append((bucket, prompt, vals, scores)) |
|
|
| print(f"matched cells: {len(rows)}") |
|
|
| |
| def raw_corr(row_id, short): |
| g = np.array([r[2][row_id] for r in rows], float) |
| m = np.array([r[3][short] for r in rows], float) |
| ok = ~(np.isnan(g) | np.isnan(m)) |
| res = spearmanr(g[ok], m[ok]) |
| return float(res.statistic), float(res.pvalue) |
|
|
| def zwithin_corr(row_id, short): |
| byp = defaultdict(list) |
| for r in rows: |
| a, b = r[2][row_id], r[3][short] |
| if not (math.isnan(a) or math.isnan(b)): |
| byp[f"{r[0]}/{r[1]}"].append((a, b)) |
| zg, zm = [], [] |
| for v in byp.values(): |
| n = len(v) |
| if n < 3: |
| continue |
| gs = [x[0] for x in v]; ms = [x[1] for x in v] |
| mg, mm = sum(gs) / n, sum(ms) / n |
| sg = math.sqrt(sum((x - mg) ** 2 for x in gs) / n) |
| sm = math.sqrt(sum((x - mm) ** 2 for x in ms) / n) |
| for a, b in v: |
| zg.append((a - mg) / sg if sg else 0.0) |
| zm.append((b - mm) / sm if sm else 0.0) |
| res = spearmanr(zg, zm) |
| return float(res.statistic), float(res.pvalue) |
|
|
| def stars(p): |
| if p < 0.001: return "***" |
| if p < 0.01: return "**" |
| if p < 0.05: return "*" |
| return "" |
|
|
|
|
| |
| flat_cols = [(s, lbl, agg) for _, members in COLUMN_GROUPS for (s, lbl, agg) in members] |
| N_COL = len(flat_cols) |
| CELL_W, CELL_H = 1.0, 0.82 |
| ROUND = 0.085 |
| GROUP_GAP = 0.34 |
|
|
| def col_x(i): |
| return i * CELL_W |
|
|
| col_group_spans, _c = [], 0 |
| for _t, _members in COLUMN_GROUPS: |
| col_group_spans.append((_t, _c, len(_members))) |
| _c += len(_members) |
| total_w = N_COL * CELL_W |
|
|
| |
| |
| RdBu = plt.get_cmap("RdBu") |
| def cell_rgb(r): |
| cval = float(np.clip((0.85 - r) / 1.7, 0.0, 1.0)) |
| rgb = np.array(RdBu(cval)[:3]) |
| alpha = float(np.clip(abs(r) / 0.85 * 1.8, 0.12, 1.0)) |
| return tuple(rgb * alpha + (1.0 - alpha)) |
|
|
| DARK, MUTED, DIV = "#4d4d4d", "#a6a6a6", "#8c8c8c" |
|
|
|
|
| |
| |
| |
| CORR = {"raw": raw_corr, "zw": zwithin_corr} |
| FIG_ROWS = [ |
| ("DCLM", [("output_dclm_score", "Output DCLM", "raw"), ("input_dclm_score", "Input DCLM", "raw"), |
| ("dclm_score_difference", "DCLM Δ", "raw"), ("dclm_score_improvement", "DCLM Improv %", "raw")]), |
| ("Edu", [("output_edu_score", "Output Edu", "raw"), ("input_edu_score", "Input Edu", "raw"), |
| ("edu_score_difference", "Edu Δ", "raw"), ("edu_score_improvement", "Edu Improv %", "raw")]), |
| ("Diversity", [("vendi_score", "Vendi Score", "raw"), ("mean_intra_cos_sim", "Mean cos sim", "raw"), |
| ("near_dup_rate", "Near-dup rate", "raw")]), |
| ("G-Vendi", [("pub", "Published", "raw"), ("repro", "Reproduced", "raw"), |
| ("prx06bb", "Base model", "raw"), ("prx06bb", "Base (within-prompt)", "zw")]), |
| ] |
|
|
|
|
| def render(row_groups, outfile, title): |
| """One heatmap: predictor rows (each with its own metric) vs the 20 benchmarks.""" |
| placed, spans, y = [], [], 0.0 |
| for gi, (gname, members) in enumerate(row_groups): |
| gstart = y |
| for row_id, label, metric in members: |
| placed.append((row_id, label, metric, y)) |
| y += CELL_H |
| spans.append((gname, gstart, y)) |
| if gi < len(row_groups) - 1: |
| y += GROUP_GAP |
| total_h = y |
|
|
| width_span = total_w + 2.9 |
| height_span = total_h + 6.8 |
| SCALE = 0.42 |
| fig, ax = plt.subplots(figsize=(width_span * SCALE, height_span * SCALE)) |
|
|
| for row_id, plabel, metric, yc in placed: |
| for ci, (short, label, agg) in enumerate(flat_cols): |
| rho, p = CORR[metric](row_id, short) |
| xc = col_x(ci) |
| ax.add_patch(FancyBboxPatch( |
| (xc + 0.06, yc + 0.06), CELL_W - 0.12, CELL_H - 0.12, |
| boxstyle=f"round,pad=0,rounding_size={ROUND}", |
| facecolor=cell_rgb(rho), edgecolor="white", linewidth=0.8)) |
| tcol = "white" if abs(rho) > 0.45 else DARK |
| ax.text(xc + CELL_W / 2, yc + CELL_H / 2, f"{rho:.2f}", ha="center", |
| va="center", fontsize=8.3, color=tcol, |
| fontweight="bold" if abs(rho) > 0.4 else "normal") |
| st = stars(p) |
| if st: |
| ax.text(xc + CELL_W - 0.1, yc + 0.16, st, ha="right", va="center", |
| fontsize=6.5, fontweight="bold", |
| color=("white" if abs(rho) > 0.45 else MUTED)) |
|
|
| |
| for gi, (t, start, n) in enumerate(col_group_spans): |
| if gi > 0: |
| x = col_x(start) |
| ax.plot([x, x], [-0.04, total_h + 0.02], color=DIV, |
| linewidth=1.5 if gi == 1 else 0.9, |
| linestyle="-" if gi == 1 else (0, (4, 3)), zorder=0) |
|
|
| |
| for gi, (gname, gs, ge) in enumerate(spans): |
| if gi > 0: |
| yd = gs - GROUP_GAP / 2 |
| ax.plot([-0.02, total_w + 0.02], [yd, yd], color="#9a9a9a", |
| linewidth=1.4, zorder=0) |
|
|
| |
| for t, start, n in col_group_spans: |
| xmid = col_x(start) + n * CELL_W / 2 |
| ax.text(xmid, -3.30, t, ha="center", va="bottom", fontsize=8.5, |
| fontweight="bold", color="#555555") |
| ax.plot([col_x(start) + 0.08, col_x(start) + n * CELL_W - 0.08], |
| [-3.12, -3.12], color=MUTED, linewidth=0.9) |
|
|
| |
| for ci, (short, label, agg) in enumerate(flat_cols): |
| ax.text(col_x(ci) + CELL_W / 2, -0.12, label, ha="left", va="bottom", |
| rotation=52, rotation_mode="anchor", fontsize=8, color=DARK, |
| fontweight="bold" if agg else "normal") |
|
|
| |
| for row_id, plabel, metric, yc in placed: |
| if metric == "zw": |
| ax.plot([-0.02, total_w + 0.02], [yc - 0.02, yc - 0.02], |
| color="#b0b0b0", linewidth=0.9, linestyle=(0, (3, 2)), zorder=0) |
|
|
| |
| for row_id, plabel, metric, yc in placed: |
| ax.text(-0.18, yc + CELL_H / 2, plabel, ha="right", va="center", |
| fontsize=8.5, fontstyle=("italic" if metric == "zw" else "normal"), |
| color=("#1a6fb0" if metric == "zw" else "#333333")) |
| for gname, gs, ge in spans: |
| ax.text(-3.05, (gs + ge) / 2, gname, ha="center", va="center", rotation=90, |
| fontsize=8.5, fontweight="bold", color="#777777") |
| ax.plot([-2.7, -2.7], [gs + 0.04, ge - 0.04], color=MUTED, linewidth=1.0) |
|
|
| |
| leg_y = total_h + 1.1 |
| ax.text(0, leg_y - 0.6, "Legend", ha="left", va="center", fontsize=9.5, |
| fontweight="bold", color="#333333") |
| for i, r in enumerate([-0.6, -0.3, 0.0, 0.3, 0.6]): |
| lx = i * 2.3 |
| ax.add_patch(FancyBboxPatch((lx, leg_y), 0.62, 0.42, |
| boxstyle="round,pad=0,rounding_size=0.05", |
| facecolor=cell_rgb(r), edgecolor="#dddddd", linewidth=0.7)) |
| ax.text(lx + 0.78, leg_y + 0.21, f"ρ = {r:+.1f}".replace("+0.0", "0"), |
| ha="left", va="center", fontsize=8, color="#444444") |
| ax.text(0, leg_y + 1.0, "*** p<0.001 ** p<0.01 * p<0.05", |
| ha="left", va="center", fontsize=8, color="#888888") |
|
|
| ax.set_xlim(-3.5, total_w + 0.15) |
| ax.set_ylim(leg_y + 1.4, -4.3) |
| ax.axis("off") |
| ax.set_aspect("equal") |
| ax.set_title(title, fontsize=12, fontweight="bold", pad=18, loc="left", x=0.0) |
| fig.savefig(outfile, dpi=170, bbox_inches="tight", facecolor="white") |
| plt.close(fig) |
| print(f"wrote {outfile}") |
|
|
|
|
| render(FIG_ROWS, "correlation_heatmap.png", |
| "Correlation with downstream benchmarks (raw-pooled; last row is within-prompt)") |
|
|