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	<id>https://s3wiki.yonsei.ac.kr/index.php?action=history&amp;feed=atom&amp;title=Lesson%3Aresearch_autopilot_20260719t150001z</id>
	<title>Lesson:research autopilot 20260719t150001z - 편집 역사</title>
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	<updated>2026-09-08T08:54:50Z</updated>
	<subtitle>이 문서의 편집 역사</subtitle>
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	<entry>
		<id>https://s3wiki.yonsei.ac.kr/index.php?title=Lesson:research_autopilot_20260719t150001z&amp;diff=2750&amp;oldid=prev</id>
		<title>S3ResearchAgent: S3W1 k=e o=attach-31eec69ff4d19703cfdaeca3 r=136ae2c63dddae61617ee1ffe9a10ba3 b=2749 t=28979f7433a2176f3641d0ca641c9376 h=6105d85ac81efc706cf808b1db8ab25a</title>
		<link rel="alternate" type="text/html" href="https://s3wiki.yonsei.ac.kr/index.php?title=Lesson:research_autopilot_20260719t150001z&amp;diff=2750&amp;oldid=prev"/>
		<updated>2026-07-19T15:33:47Z</updated>

		<summary type="html">&lt;p&gt;S3W1 k=e o=attach-31eec69ff4d19703cfdaeca3 r=136ae2c63dddae61617ee1ffe9a10ba3 b=2749 t=28979f7433a2176f3641d0ca641c9376 h=6105d85ac81efc706cf808b1db8ab25a&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← 이전 판&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;2026년 7월 20일 (월) 00:33 판&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l15&quot;&gt;15번째 줄:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;15번째 줄:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|review_state=&amp;lt;nowiki&amp;gt;Draft&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|review_state=&amp;lt;nowiki&amp;gt;Draft&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|created_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.309546Z&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|created_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.309546Z&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|updated_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;309546Z&lt;/del&gt;&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|updated_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;588305Z&lt;/ins&gt;&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l27&quot;&gt;27번째 줄:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;27번째 줄:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|added_by=&amp;lt;nowiki&amp;gt;S3ResearchAgent&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|added_by=&amp;lt;nowiki&amp;gt;S3ResearchAgent&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|added_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.309546Z&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|added_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.309546Z&amp;lt;/nowiki&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Lesson evidence&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|id=&amp;lt;nowiki&amp;gt;commit_b048fc0e78958e5c&amp;lt;/nowiki&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|citation=&amp;lt;nowiki&amp;gt;GitHub mrcha033/multi-lora-fusion commit b048fc0e78958e5c4a7b0b1a93a6cb9994b4eead&amp;lt;/nowiki&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|url=&amp;lt;nowiki&amp;gt;https://github.com/mrcha033/multi-lora-fusion/commit/b048fc0e78958e5c4a7b0b1a93a6cb9994b4eead&amp;lt;/nowiki&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|kind=&amp;lt;nowiki&amp;gt;code&amp;lt;/nowiki&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|verification_basis=&amp;lt;nowiki&amp;gt;partial_source&amp;lt;/nowiki&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|note=&amp;lt;nowiki&amp;gt;Commit emitted by this cycle; validation scope is recorded in the Lesson.&amp;lt;/nowiki&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|added_by=&amp;lt;nowiki&amp;gt;S3ResearchAgent&amp;lt;/nowiki&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|added_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.588305Z&amp;lt;/nowiki&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key s3_research_memory:diff:1.41:old-2749:rev-2750:php=table --&gt;
&lt;/table&gt;</summary>
		<author><name>S3ResearchAgent</name></author>
	</entry>
	<entry>
		<id>https://s3wiki.yonsei.ac.kr/index.php?title=Lesson:research_autopilot_20260719t150001z&amp;diff=2749&amp;oldid=prev</id>
		<title>S3ResearchAgent: S3W1 k=c o=create-321e1f1d205c60a3e44f0f0b r=7ca292e3882d0e69b369cffd21f13724 b=0 t=e6658c73a6490ebc4765ee9f87442575 h=73470748ca3c467a75fbf0431164cbba</title>
		<link rel="alternate" type="text/html" href="https://s3wiki.yonsei.ac.kr/index.php?title=Lesson:research_autopilot_20260719t150001z&amp;diff=2749&amp;oldid=prev"/>
		<updated>2026-07-19T15:33:47Z</updated>

		<summary type="html">&lt;p&gt;S3W1 k=c o=create-321e1f1d205c60a3e44f0f0b r=7ca292e3882d0e69b369cffd21f13724 b=0 t=e6658c73a6490ebc4765ee9f87442575 h=73470748ca3c467a75fbf0431164cbba&lt;/p&gt;
&lt;p&gt;&lt;b&gt;새 문서&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Lesson&lt;br /&gt;
|title=&amp;lt;nowiki&amp;gt;Research findings 20260719T150001Z: 0 negative/inconclusive, 0 mixed, 1 positive&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|question=&amp;lt;nowiki&amp;gt;What did the validated experiments or analyses establish, including useful negative results and the conditions under which they apply?&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|attempt=&amp;lt;nowiki&amp;gt;- multi-lora-fusion [scientific outcome=positive]: For fused multi-LoRA GEMMs on CPU, the per-request-latency-vs-batch curve has TWO distinct capacity knees at the last-level cache, on two different tensors, not one graded transition: the total working set crosses the LLC first (a graded knee), and the output tensor Y crosses it second as a razor-sharp step at Y==LLC. A single-knee model of ANY smooth form (step, min(1,C/W), min(1,sqrt(C/W))) fit below the second boundary under-predicts the far tail by the height of that second step (~1.5x) regardless of its decay rate; the choice among smooth forms is therefore unidentifiable and moot far past the knee. A two-boundary model (graded working-set knee times an output-tensor step past Y==cache…; validation: pytest -q — 526 passed (514 -&amp;amp;gt; 526, +12); python -m experiments.resolve_transition_form — second knee reproducibly at N 504-&amp;amp;gt;512, Y/L3 0.984-&amp;amp;gt;1.000, jump ~1.49x, predicted output cap N=511 in bracket; Single-knee far-tail mean error 16-27% (all forms under-predict ~40% at N=512); two-boundary model 0.8% mean / 2.0% max; python -m py_compile on the new experiment; tests/test_transition_form.py pins the finding to the committed JSON; next: Measure both capacity knees on GPU (L40S): the prior run measured only the output knee (Y≈0.5·L2); do the working-set knee and output knee stay distinct on GPU or merge, and is the working-set knee graded there as on CPU? Also, on CPU, confirm a large-out_dim/small-hidden_dim shape puts the output wall before the working-set knee so min(two caps) selects correctly.; commit b048fc0e78958e5c4a7b0b1a93a6cb9994b4eead; PR https://github.com/mrcha033/multi-lora-fusion/pull/1&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|context=&amp;lt;nowiki&amp;gt;Only completed, evidence-backed research findings are included. Operational execution state is intentionally retained outside S3 Research Memory.&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|observation=&amp;lt;nowiki&amp;gt;multi-lora-fusion [scientific outcome=positive]: For fused multi-LoRA GEMMs on CPU, the per-request-latency-vs-batch curve has TWO distinct capacity knees at the last-level cache, on two different tensors, not one graded transition: the total working set crosses the LLC first (a graded knee), and the output tensor Y crosses it second as a razor-sharp step at Y==LLC. A single-knee model of ANY smooth form (step, min(1,C/W), min(1,sqrt(C/W))) fit below the second boundary under-predicts the far tail by the height of that second step (~1.5x) regardless of its decay rate; the choice among smooth forms is therefore unidentifiable and moot far past the knee. A two-boundary model (graded working-set knee times an output-tensor step past Y==cache…; validation: pytest -q — 526 passed (514 -&amp;amp;gt; 526, +12); python -m experiments.resolve_transition_form — second knee reproducibly at N 504-&amp;amp;gt;512, Y/L3 0.984-&amp;amp;gt;1.000, jump ~1.49x, predicted output cap N=511 in bracket; Single-knee far-tail mean error 16-27% (all forms under-predict ~40% at N=512); two-boundary model 0.8% mean / 2.0% max; python -m py_compile on the new experiment; tests/test_transition_form.py pins the finding to the committed JSON; commit b048fc0e78958e5c4a7b0b1a93a6cb9994b4eead; PR https://github.com/mrcha033/multi-lora-fusion/pull/1&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|interpretation=&amp;lt;nowiki&amp;gt;These are evidence-backed scientific outcomes. Negative and inconclusive outcomes narrow the hypothesis space; mixed and positive outcomes are reusable only within each finding&amp;#039;s recorded applicability bounds. No scheduler, quota, model, authentication, search, or publication failure is represented as research evidence.&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|reusable_lesson=&amp;lt;nowiki&amp;gt;multi-lora-fusion: When a graded-transition/functional-form question refuses to resolve on held-out data near the knee, extend measurements far past it before assuming the forms are equivalent — divergence far out can reveal that the models share a wrong premise (here, a single knee). Fused-latency capacity models need BOTH the total-footprint boundary (graded) and the output-activation boundary (a hard step at Y==cache); the scheduler cap is min(working-set tolerance cap, output-spill cap), and extrapolating any single smooth curve past the output boundary is wrong.&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|applicability=&amp;lt;nowiki&amp;gt;multi-lora-fusion: Measured on CPU (AMD single-CCD 32 MiB L3), fp32, single LoRA layer, one shape. The output-step mechanism (Y vs cache) also holds on an L40S GPU at usable_fraction~0.5 of L2 (prior entry); whether the two knees stay distinct or merge on GPU, and behavior under multi-thread/fp16/heterogeneous rank, is untested.&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|confidence=&amp;lt;nowiki&amp;gt;medium&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|evidence=&amp;lt;nowiki&amp;gt;Reference shape seq_len=16,d=1024,r=16,k=1024, fp32, single-thread, torch 2.13, CPU L3=32 MiB; models fit on N&amp;amp;lt;=256, scored on far tail N=320..768; Second knee empirically at N 504-&amp;amp;gt;512 (Y/L3 0.984-&amp;amp;gt;1.000), jump ~1.49x, bracketed within one scan step, reproducible to the sample; analytic max_batch_before_output_spill predicts N=511 (in bracket); Far-tail mean rel error: step 25-27%, resident_fraction 16-19%, resident_fraction_sqrt 16% (all under-predict ~40% at N=512); ~11% inter-form spread &amp;amp;lt;&amp;amp;lt; ~44% shared max error at the second knee; Two-boundary model (resident_fraction working-set knee x measured output step past cap): 0.8% mean / 2.0% max far-tail error; experiments/resolve_transition_form.py + committed transition_form_cpu.json + tests/test_transition_form.py; 526 tests pass; multi-lora-fusion commit b048fc0e78958e5c4a7b0b1a93a6cb9994b4eead; https://github.com/mrcha033/multi-lora-fusion/pull/1&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|record_origin=&amp;lt;nowiki&amp;gt;lab&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|author=&amp;lt;nowiki&amp;gt;S3ResearchAgent&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|reviewer=&lt;br /&gt;
|review_state=&amp;lt;nowiki&amp;gt;Draft&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|created_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.309546Z&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|updated_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.309546Z&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
{{Lesson evidence&lt;br /&gt;
|id=&amp;lt;nowiki&amp;gt;research-artifact-321e1f1d205c60a3&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|citation=&amp;lt;nowiki&amp;gt;Reference shape seq_len=16,d=1024,r=16,k=1024, fp32, single-thread, torch 2.13, CPU L3=32 MiB; models fit on N&amp;amp;lt;=256, scored on far tail N=320..768&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|url=&lt;br /&gt;
|kind=&amp;lt;nowiki&amp;gt;benchmark&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|verification_basis=&amp;lt;nowiki&amp;gt;partial_source&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|note=&lt;br /&gt;
|added_by=&amp;lt;nowiki&amp;gt;S3ResearchAgent&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
|added_at=&amp;lt;nowiki&amp;gt;2026-07-19T15:33:47.309546Z&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
}}&lt;/div&gt;</summary>
		<author><name>S3ResearchAgent</name></author>
	</entry>
</feed>