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0662d8e | 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 | """Figures for REPORT.md, from runs/probes/s_seed{0,1}/*/probe.json."""
import glob
import json
import math
import os
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt # noqa: E402
OUT = "report_figs"
SURF, INK, INK2, GRID = "#fcfcfb", "#0b0b0b", "#52514e", "#e4e3df"
BLUE, ORANGE, AQUA, GRAY = "#2a78d6", "#eb6834", "#1baf7a", "#8a8984"
SEED_STYLE = {0: "-", 1: "--"}
UPSTREAM = {"R1": 2.5871, "R2": 2.2300, "R3": 0.0067, "R4": -0.0077}
plt.rcParams.update({
"figure.facecolor": SURF, "axes.facecolor": SURF, "savefig.facecolor": SURF,
"axes.edgecolor": GRID, "axes.labelcolor": INK2, "xtick.color": INK2,
"ytick.color": INK2, "text.color": INK, "font.size": 11,
"axes.spines.top": False, "axes.spines.right": False, "axes.grid": True,
"grid.color": GRID, "grid.linewidth": 0.8, "lines.linewidth": 2,
"axes.titleweight": "bold", "axes.titlesize": 13, "axes.titlelocation": "left",
})
def load(seed, name):
p = f"runs/probes/s_seed{seed}/{name}/probe.json"
return json.load(open(p)) if os.path.exists(p) else None
def curve(p, phase="evals", unread_only=True):
ev = p[phase]
a = p["evals"][0]["loss"]
lanes = p["args"]["lanes"]
keys = [k for k in a if lanes == "all" or k not in lanes.split(",")] if unread_only else list(a)
xs = [e["chars"] / 1e3 for e in ev]
ys = [sum(e["loss"][k] - a[k] for k in keys) / len(keys) for e in ev]
return xs, ys, keys
def label_end(ax, x, y, text, color):
ax.annotate(text, (x, y), xytext=(6, 0), textcoords="offset points",
va="center", fontsize=10, color=INK2)
ax.plot([x], [y], "o", ms=5, color=color, mec=SURF, mew=2)
def fig_probe():
fig, ax = plt.subplots(figsize=(8, 4.6))
for s in (0, 1):
p = load(s, "R3_swap_t0.1")
x, y, _ = curve(p)
ax.plot(x, y, SEED_STYLE[s], color=BLUE)
label_end(ax, x[-1], y[-1], f"trunk 0.1x, seed {s}: +{y[-1]:.2f}", BLUE)
c = load(s, "R4_control_all")
x, y, _ = curve(c)
ax.plot(x, y, SEED_STYLE[s], color=GRAY, lw=1.5)
ax.annotate("control, all subjects read\n(both seeds)", (530, 0.075), fontsize=10,
color=INK2, va="bottom")
ax.plot([524.3], [UPSTREAM["R3"]], "D", ms=8, color=ORANGE, mec=SURF, mew=2)
ax.annotate("upstream README: +0.0067", (524.3, UPSTREAM["R3"]), xytext=(10, -12),
textcoords="offset points", ha="left", fontsize=10, color=INK2)
ax.set_xlim(0, 700)
ax.set_xlabel("characters of chess read (thousands)")
ax.set_ylabel("forgetting on the 7 unread subjects (nats/char)")
ax.set_title("At the inherited probe rate: 50-110x the README number")
fig.tight_layout()
fig.savefig(f"{OUT}/1_probe.png", dpi=150)
def fig_sweep():
arms = [("E4_swap_t0", 0), ("E3_swap_t0.03", 0.03), ("R3_swap_t0.1", 0.1),
("E2_swap_t0.3", 0.3), ("R2_swap_t1", 1.0)]
pos = {m: i for i, (_, m) in enumerate(arms)}
fig, ax = plt.subplots(figsize=(8, 4.6))
for s in (0, 1):
xs, ys = [], []
for name, m in arms:
p = load(s, name)
if p:
xs.append(pos[m]); ys.append(curve(p)[1][-1])
ax.plot(xs, ys, SEED_STYLE[s], marker="o", ms=7, color=BLUE, mec=SURF, mew=2,
label=f"trunk multiplier sweep, seed {s}")
g = load(s, "E1_swap_all0.1")
if g:
ax.plot([pos[0.1] + 0.12], [curve(g)[1][-1]], "s", ms=8, color=AQUA, mec=SURF, mew=2,
label="everything at 0.1x (no split)" if s == 0 else None)
ax.plot([pos[0.1], pos[1.0]], [UPSTREAM["R3"], UPSTREAM["R2"]], "D", ms=8, color=ORANGE,
mec=SURF, mew=2, ls="none", label="upstream README")
ax.set_yscale("log")
ax.set_xticks(range(len(arms)), [f"{m:g}x" for _, m in arms])
ax.set_xlabel("trunk learning rate, as a multiple of the experts'")
ax.set_ylabel("forgetting after 524k chars (nats/char, log)")
ax.set_title("Trunk LR is the lever; the trunk/expert split is not")
ax.legend(frameon=False, fontsize=10, loc="upper left")
fig.tight_layout()
fig.savefig(f"{OUT}/2_sweep.png", dpi=150)
def fig_long():
fig, ax = plt.subplots(figsize=(8, 4.6))
for s in (0, 1):
p = load(s, "E6_swap_t0.1_4M")
if p:
x, y, keys = curve(p)
ax.plot([v / 1e3 for v in x], y, SEED_STYLE[s], color=BLUE, marker="o", ms=5)
label_end(ax, x[-1] / 1e3, y[-1], f"trunk 0.1x, inherited LR, seed {s}: +{y[-1]:.1f}", BLUE)
a = p["evals"][0]["loss"]
chance = math.log(265) - sum(a[k] for k in keys) / len(keys)
ax.axhline(chance, color=INK2, lw=1, ls=SEED_STYLE[s])
c = load(s, "E7_control_4M")
if c:
x, y, _ = curve(c)
ax.plot([v / 1e3 for v in x], y, SEED_STYLE[s], color=GRAY, lw=1.5)
q = load(s, "L_swap_t0.1_scale0.1_4M")
if q:
x, y, _ = curve(q)
ax.plot([v / 1e3 for v in x], y, SEED_STYLE[s], color=AQUA, marker="s", ms=5)
label_end(ax, x[-1] / 1e3, y[-1], f"same, probe LR 0.1x, seed {s}: +{y[-1]:.2f}", AQUA)
ax.annotate("above this line: worse than uniform guessing",
(0.05, 4.42), fontsize=10, color=INK2, va="bottom")
ax.annotate("control, all subjects read", (2.6, -0.32), fontsize=10, color=INK2)
ax.set_xlim(0, 6.6)
ax.set_ylim(-0.45, 5.4)
ax.set_xlabel("characters of chess read (millions)")
ax.set_ylabel("forgetting on the 7 unread subjects (nats/char)")
ax.set_title("Read 8x longer, forgetting keeps growing, even at the low rate")
fig.tight_layout()
fig.savefig(f"{OUT}/3_long.png", dpi=150)
def fig_recover():
fig, ax = plt.subplots(figsize=(8, 4.6))
for s in (0, 1):
p = load(s, "R2_swap_t1")
if not p or not p.get("recover"):
continue
a, b = p["evals"][0]["loss"], p["evals"][-1]["loss"]
keys = [k for k in a if k != "chess"]
dmg = sum(b[k] - a[k] for k in keys) / len(keys)
xs = [0] + [e["chars"] / 1e3 for e in p["recover"]]
ys = [0] + [100 * (dmg - sum(e["loss"][k] - a[k] for k in keys) / len(keys)) / dmg
for e in p["recover"]]
ax.plot(xs, ys, SEED_STYLE[s], color=BLUE, label=f"seed {s} (damage +{dmg:.2f} nats)")
ax.plot([131], [75], "D", ms=8, color=ORANGE, mec=SURF, mew=2, label="upstream README: ~75% by 131k")
ax.axvline(262.144, color=GRID, lw=1)
ax.annotate("every subject visited once", (268, 8), fontsize=10, color=INK2)
ax.set_ylim(0, 100)
ax.set_xlabel("characters of mixed reading after the damage (thousands)")
ax.set_ylabel("damage recovered (%)")
ax.set_title("Recovery replicates, then stalls short of full")
ax.legend(frameon=False, fontsize=10, loc="lower right")
fig.tight_layout()
fig.savefig(f"{OUT}/4_recover.png", dpi=150)
def fig_lrscale():
scales = [0.1, 0.3, 0.6, 1.0]
fig, ax = plt.subplots(figsize=(8, 4.6))
any_ = False
for s in (0, 1):
xs, ys = [], []
for sc in scales:
p = load(s, f"L_swap_t0.1_scale{sc}")
if p:
xs.append(sc); ys.append(curve(p)[1][-1])
if xs:
any_ = True
ax.plot(xs, ys, SEED_STYLE[s], marker="o", ms=7, color=BLUE, mec=SURF, mew=2,
label=f"seed {s}")
if not any_:
plt.close(fig)
return
ax.axhline(UPSTREAM["R3"], color=ORANGE, lw=1.5, ls=":")
ax.annotate("upstream README: +0.0067", (0.62, UPSTREAM["R3"] * 1.25), fontsize=10, color=INK2)
ctl = [curve(load(s, "R4_control_all"))[1][-1] for s in (0, 1)]
ax.axhline(sum(ctl) / 2, color=GRAY, lw=1.5, ls=":")
ax.annotate("control, all subjects read: +0.017", (0.62, sum(ctl) / 2 * 1.2), fontsize=10, color=INK2)
ax.set_yscale("log")
ax.set_xlabel("probe learning rate, as a fraction of the configured 3e-4")
ax.set_ylabel("forgetting after 524k chars (nats/char, log)")
ax.set_title("Upstream's number reappears at a 10x lower probe learning rate")
ax.legend(frameon=False, fontsize=10, loc="upper left")
fig.tight_layout()
fig.savefig(f"{OUT}/5_lrscale.png", dpi=150)
# ---------------------------------------------------------------- v2: at upstream's step density
# v1 probes ran at 4x upstream's optimiser steps per character (chunk 512 vs 2048). v2 figures use the
# --accum 4 reruns (runs/probes/*/A4_*, S_*_accum4), which match upstream's step density.
def fig_v2_headline():
fig, ax = plt.subplots(figsize=(8, 4.6))
for s in (0, 1):
x, y, _ = curve(load(s, "S_swap_t0.1_accum4"))
ax.plot(x, y, SEED_STYLE[s], color=BLUE)
ax.plot([x[-1]], [y[-1]], "o", ms=5, color=BLUE, mec=SURF, mew=2)
ax.annotate(f"trunk 0.1x, seed {s}: +{y[-1]:.3f}", (x[-1], y[-1]), xytext=(8, 9 if s == 0 else -2),
textcoords="offset points", va="center", fontsize=10, color=INK2)
x, y, _ = curve(load(s, "A4_control_all"))
ax.plot(x, y, SEED_STYLE[s], color=GRAY, lw=1.5)
ax.annotate("control, all subjects read (both seeds)", (300, -0.075), fontsize=10, color=INK2)
ax.plot([524.3], [UPSTREAM["R3"]], "D", ms=8, color=ORANGE, mec=SURF, mew=2)
ax.annotate("upstream README: +0.0067", (524.3, UPSTREAM["R3"]), xytext=(10, -14),
textcoords="offset points", ha="left", fontsize=10, color=INK2)
ax.set_xlim(0, 720)
ax.set_ylim(-0.1, 0.12)
ax.set_xlabel("characters of chess read (thousands)")
ax.set_ylabel("forgetting on the 7 unread subjects (nats/char)")
ax.set_title("At upstream's step density, the headline replicates")
fig.tight_layout()
fig.savefig(f"{OUT}/1_headline.png", dpi=150)
def fig_v2_displacement():
"""Every trunk-0.1x, 524k-char probe vs lr_scale x optimiser steps (upstream-equivalent LR)."""
acc1 = ["L_swap_t0.1_scale0.1", "L_swap_t0.1_scale0.3", "L_swap_t0.1_scale0.6",
"L_swap_t0.1_scale1.0", "R3_swap_t0.1"]
accn = ["S_swap_t0.1_accum2", "S_swap_t0.1_accum4"]
fig, ax = plt.subplots(figsize=(8, 4.8))
def pts(s, names):
out = []
for n in names:
p = load(s, n)
if p:
out.append((p["lr_scale"] * (p.get("opt_steps") or 1024) / 256, curve(p)[1][-1]))
return sorted(out)
for s in (0, 1):
a = pts(s, acc1)
ax.plot([x for x, _ in a], [y for _, y in a], SEED_STYLE[s], marker="o", ms=7, color=BLUE,
mec=SURF, mew=2, label=f"learning rate varied, seed {s}")
b = pts(s, accn)
ax.plot([x for x, _ in b], [y for _, y in b], "s", ms=9, color=AQUA, mec=SURF, mew=2,
label="step count varied (gradient accumulation)" if s == 0 else None)
xs = [0.35, 1.3]
ax.plot(xs, [0.0065 * (x / 0.35) ** 2 for x in xs], ":", color=INK2, lw=1.5)
ax.annotate("slope 2: forgetting ∝ displacement²", (0.62, 0.012), fontsize=10, color=INK2, rotation=27)
ax.axvline(0.7, color=GRID, lw=1)
ax.annotate("upstream's setting (≈0.6-0.8)", (0.72, 0.0068), fontsize=9.5, color=INK2)
ax.set_xscale("log"); ax.set_yscale("log")
from matplotlib.ticker import FixedLocator, FixedFormatter, NullLocator
ticks = [0.4, 0.6, 1, 2, 3, 4]
ax.xaxis.set_major_locator(FixedLocator(ticks)); ax.xaxis.set_minor_locator(NullLocator())
ax.xaxis.set_major_formatter(FixedFormatter([f"{t:g}" for t in ticks]))
yt = [0.01, 0.03, 0.1, 0.3, 1]
ax.yaxis.set_major_locator(FixedLocator(yt)); ax.yaxis.set_minor_locator(NullLocator())
ax.yaxis.set_major_formatter(FixedFormatter([f"{t:g}" for t in yt]))
ax.set_xlabel("probe learning rate × optimiser steps (1.0 = configured rate at upstream's step density)")
ax.set_ylabel("forgetting after 524k chars (nats/char)")
ax.set_title("Forgetting tracks how far the trunk moves, roughly squared")
ax.legend(frameon=False, fontsize=10, loc="upper left")
fig.tight_layout()
fig.savefig(f"{OUT}/2_displacement.png", dpi=150)
def fig_v2_long():
fig, ax = plt.subplots(figsize=(8, 4.6))
for s in (0, 1):
p = load(s, "A4_swap_t0.1_4M")
x, y, keys = curve(p)
ax.plot([v / 1e3 for v in x], y, SEED_STYLE[s], color=BLUE, marker="o", ms=5)
label_end(ax, x[-1] / 1e3, y[-1], f"trunk 0.1x, seed {s}: +{y[-1]:.2f}", BLUE)
c = load(s, "E7_control_4M")
x, y, _ = curve(c)
ax.plot([v / 1e3 for v in x], y, SEED_STYLE[s], color=GRAY, lw=1.5)
ax.annotate("control, all subjects read", (2.4, -0.17), fontsize=10, color=INK2)
ax.axvspan(0, 0.53, color=GRID, alpha=0.5, lw=0)
ax.annotate("the README's\nprobe length", (0.04, 1.25), fontsize=9.5, color=INK2)
ax.set_xlim(0, 5.6)
ax.set_ylim(-0.25, 1.75)
ax.set_xlabel("characters of chess read (millions)")
ax.set_ylabel("forgetting on the 7 unread subjects (nats/char)")
ax.set_title("Read 8x longer: the floor gives way after about 0.5M characters")
fig.tight_layout()
fig.savefig(f"{OUT}/3_long.png", dpi=150)
if __name__ == "__main__":
import sys
if len(sys.argv) > 1 and sys.argv[1] == "v2":
OUT = "report_figs_v2"
os.makedirs(OUT, exist_ok=True)
for f in (fig_v2_headline, fig_v2_displacement, fig_v2_long, fig_recover):
f()
else:
os.makedirs(OUT, exist_ok=True)
for f in (fig_probe, fig_sweep, fig_long, fig_recover, fig_lrscale):
f()
print(sorted(glob.glob(f"{OUT}/*.png")))
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