From baf22f01ab700aae1fc3b345aa003892d214b642 Mon Sep 17 00:00:00 2001 From: Yangwook Kang Date: Wed, 22 Jul 2026 17:39:13 -0700 Subject: [PATCH] plot: extend batch-scaling curves with saturated-throughput ceiling Beyond a mapping's SIP capacity (16/C) the throughput plateaus: extra users run in waves at the saturated rate, they are not un-runnable. Draw a dashed horizontal extension at the ceiling so 1-kv-per-cube (cap 2) reads as saturating, not stopping, at B=2. Caption updated. Co-Authored-By: Claude Opus 4.8 (1M context) --- docs/report/1H-codesign-paper/build/main.pdf | Bin 3061700 -> 3064176 bytes .../gqa_short_context/batch_scaling.png | Bin 70844 -> 73308 bytes .../1H-codesign-paper/sections/05-gqa.tex | 11 +++++++---- .../sweeps/plot_scripts/plot_batch_scaling.py | 8 ++++++++ 4 files changed, 15 insertions(+), 4 deletions(-) diff --git a/docs/report/1H-codesign-paper/build/main.pdf b/docs/report/1H-codesign-paper/build/main.pdf index 2153fce83cd4fe02674f6891a2a624078b67d0e3..35a5490e6c1d324d3677d6ebd8e6f87e978cce1a 100644 GIT binary patch delta 116642 zcmY(r1yohv7d5J)bc2)#T%@}jq`SMjq`TpuT%@HNL>i<+x?4)RyOHjOckuUr@B5x( zICNa@*=O&y*W7EZIoGD^sNv=Dm&TX=(3j9xP#EZI=o=_36b=dxMSvngk)X&>6eubb z4T=uMfMPO6c36IC4jzz5<=fYiJ-(#l4?lfPk@7ylUqOl(b>hx%*Yne zV{Sj)-3ME3y7$O@+#9Vqz#kr76CFLLz$J=?MDF#=Pl)h+Cf>d;sFhz+XJJ#1g`umC zNQ7d?lZvH~xkw6oF*bSvjj_m`6tgxmk~h9jGk?+>tEyNn4i~tu7MzFG%*@RZh2bGk zbYUVaH|&=XXrf3FL^aWF0D=w_cP%XthvPAmval#?Wh)n^rKkJ)`dUvEj5fILQD*p5 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100644 --- a/docs/report/1H-codesign-paper/sections/05-gqa.tex +++ b/docs/report/1H-codesign-paper/sections/05-gqa.tex @@ -271,10 +271,13 @@ long-context batch sweep is 2H work (\S\ref{sec:future}). \si{\micro\second}) versus the number of concurrent decode users on one SIP, each user on a disjoint CUBE group. Each mapping scales almost linearly with $B$ up to its SIP capacity $16/C$---\textsf{1-kv-per-cube} saturates at two -users, \textsf{8-kv-per-cube} at sixteen. The dense mapping reaches the -highest throughput; the spread mapping is latency-optimal but -capacity-limited. Concurrent users overlap to within -\SI{3}{}--\SI{5}{\percent} of the single-user latency.} +users, \textsf{8-kv-per-cube} at sixteen. Solid segments are measured +concurrent runs; the dashed extensions are the saturated-throughput ceiling +beyond capacity, where further users run in waves at that sustained rate +(so the SIP is full, not idle). The dense mapping reaches the highest +ceiling; the spread mapping is latency-optimal but capacity-limited. +Concurrent users overlap to within \SI{3}{}--\SI{5}{\percent} of the +single-user latency.} \label{fig:gqa-batch} \end{figure} diff --git a/docs/sweeps/plot_scripts/plot_batch_scaling.py b/docs/sweeps/plot_scripts/plot_batch_scaling.py index bf3b4dc..c8996be 100644 --- a/docs/sweeps/plot_scripts/plot_batch_scaling.py +++ b/docs/sweeps/plot_scripts/plot_batch_scaling.py @@ -29,6 +29,7 @@ def main(): contexts = sorted({int(r["S_kv"]) for r in rows}) fig, axes = plt.subplots(1, len(contexts), figsize=(6.5 * len(contexts), 4.5), squeeze=False) + xmax = max(int(r["B"]) for r in rows) # largest SIP capacity (= 16) for col, S in enumerate(contexts): ax = axes[0][col] for m in MODES: @@ -40,8 +41,15 @@ def main(): if not pts: continue xs, ys = zip(*pts) + # Measured: concurrent users up to the SIP capacity 16/C. ax.plot(xs, ys, marker="o", color=MODE_COLOR[m], label=MODE_LABEL[m]) + # Beyond capacity the SIP is full: extra users run in waves at + # the saturated rate, so throughput plateaus. Draw that ceiling + # as a dashed extension (projected, not concurrently measured). + if xs[-1] < xmax: + ax.plot([xs[-1], xmax], [ys[-1], ys[-1]], + linestyle="--", color=MODE_COLOR[m], alpha=0.55) ax.annotate(f"{ys[-1]:.2f}", (xs[-1], ys[-1]), textcoords="offset points", xytext=(4, 4), fontsize=8) ax.set_title(f"S_kv = {S // 1024}K")