PPT 同步修正 StreamK 归约条件

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2026-08-23 23:50:44 +00:00
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第3步AIV 从 L2 读回各段部分和到 UB向量求和写回
AIV 独立硬件,数据流 GM/L2→UB→AIV→UB→L2/GM</div>
<p style="margin-top:10px">归约时延 = 写部分和 + AIV 读回 + AIV 求和 + 写回,四段之和</p>
<p>要求计算时延 ≥ 归约时延 × 10 → <span class="eq">K ≥ grid_K² × 109</span></p>
<p>grid_K=2→K≥0.5K4→1.8K8→7.0K32→112K</p>
<p class="sub">源码固定门槛 8192 ≈ 本模型 grid_K≤8 的要求,互为印证</p>
<p>收益判据T_Reduce &lt; T_pipe(11/grid_K)T_pipe = max(T_MTE2, T_MMAD)</p>
<p>⟺ T_pipe &gt; grid_K/(grid_K1)·T_Reduceα=grid_K/(grid_K1)grid_K=2 时 α=2</p>
<p class="sub">StreamK case 多为访存 BoundAI &lt; R₁₆T_pipe = T_MTE2 是瓶颈</p>
<p style="margin-top:8px"><span class="eq">K &gt; grid_K²/(grid_K1) × 11</span> grid_K=2→K>494→K>628→K>102</p>
<p class="sub">源码固定门槛 8192 远高于归约阈值(~50~360其动机是摊薄固定开销workspace、同步、AIV启动</p>
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<ul>
<li><b>经验常数</b>min_TileSize=16KB、480KB、均衡率 0.8、CUBE_BOUND_RATIO 0.85 等)为该芯片档实测值,换芯片需重新标定</li>
<li><b>重叠区</b>MergeBatch vs IterBatch 在 M×N 中段)的归属由端到端时延模型 $T_{total}$ 精确仲裁,文档条件给出的是"主场"</li>
<li><b>StreamK θ=109</b> 基于 L2 5.2TB/s 推导,若 workspace 落 GM 则退回 θ≈1700</li>
<li><b>StreamK θ≈11</b> 基于 L2 5.2TB/s 推导,若 workspace 落 GM 则升至 ~87源码 8192 门槛由固定开销主导</li>
</ul>
<p style="margin-top:16px;font-size:24px;text-align:center;color:#38bdf8"><b>整体评价:逻辑体系完整,推导自洽,可指导工程实现</b></p>
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