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<!DOCTYPE html>
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<title>Structure Predictor v4</title>
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.c{width:1040px}
h1{text-align:center;font-size:18px;font-weight:600;color:#c8c8d0;margin-bottom:5px}
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<body>
<div class="c">
<h1>Lookahead Structure Predictor for OLMo2-1B</h1>
<p class="sub">Per-token context-conditioned DAG · Head-level 256×256 upper-triangular adjacency · Cascading activation gate</p>
<p class="sub2">⚡ Topology predicted before each forward pass · Fully differentiable via continuous relaxation</p>
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<!-- ============ LEFT: TOPOLOGY PREDICTION ============ -->
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<text x="265" y="32" text-anchor="middle" font-size="10" fill="#5a5a6a" letter-spacing="2" text-transform="uppercase">TOPOLOGY PREDICTION (per token)</text>
<text x="265" y="47" text-anchor="middle" font-size="9" fill="#e8a04c">⚡ runs before OLMo forward pass</text>
<!-- Input -->
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<text x="265" y="80" text-anchor="middle" font-size="12.5" fill="#ddd">Current Context</text>
<text x="265" y="93" text-anchor="middle" font-size="9" fill="#6a6a7a">changes every generation step</text>
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<text x="265" y="164" text-anchor="middle" font-size="9" fill="#6a6a7a">frozen · context → d-dim vector e</text>
<!-- Arrow -->
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<text x="285" y="190" text-anchor="start" font-size="9" fill="#5a80bb">e</text>
<!-- Decoder -->
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<text x="265" y="224" text-anchor="middle" font-size="12.5" fill="#ddd" font-weight="600">Structure Predictor (Trainable)</text>
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<text x="265" y="256" text-anchor="middle" font-size="10.5" fill="#b090d0">Low-Rank Parameterization</text>
<text x="265" y="272" text-anchor="middle" font-family="Consolas,monospace" font-size="9" fill="#9080b0">e → MLP → U, V ∈ ℝ^{256×r} → Z = UV^T</text>
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<text x="265" y="363" text-anchor="middle" font-family="Consolas,monospace" font-size="9" fill="#c08090">A_raw = UpperTriMask ⊙ σ((Z + G) / τ)</text>
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<text x="265" y="424" text-anchor="middle" font-size="12.5" fill="#e8c06a" font-weight="600">Cascading Activation Gate</text>
<text x="265" y="442" text-anchor="middle" font-family="Consolas,monospace" font-size="9" fill="#c0a060">gⱼ = σ( k · Σᵢ A_raw[i][j] ) // incoming sum</text>
<text x="265" y="458" text-anchor="middle" font-family="Consolas,monospace" font-size="9" fill="#c0a060">A[j, :] = gⱼ · A_raw[j, :] // gate outgoing</text>
<text x="265" y="472" text-anchor="middle" font-size="8.5" fill="#8a7a4a">no input → gⱼ≈0 → no output · fully differentiable · k = learnable or fixed</text>
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<text x="265" y="524" text-anchor="middle" font-size="12.5" fill="#ddd" font-weight="600">Soft Adjacency A ∈ [0,1]^{256×256}</text>
<text x="265" y="542" text-anchor="middle" font-size="9" fill="#bb5a78">upper-tri · per-token dynamic · cascading-gated</text>
<!-- ============ RIGHT: OLMo INFERENCE ============ -->
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<text x="785" y="32" text-anchor="middle" font-size="10" fill="#5a5a6a" letter-spacing="2">OLMO2-1B INFERENCE</text>
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<text x="788" y="70" text-anchor="middle" font-size="12.5" fill="#ddd" font-weight="600">OLMo2-1B</text>
<text x="788" y="86" text-anchor="middle" font-size="9" fill="#6a6a7a">16 layers × 16 heads = 256 nodes</text>
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<text x="788" y="190" text-anchor="middle" font-size="13" fill="#2a5a3a">⋮</text>
<!-- L8 heavily pruned -->
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<text x="870" y="212" text-anchor="start" font-size="9" fill="#7a4a4a">heavily pruned</text>
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<text x="788" y="298" text-anchor="middle" font-size="10" fill="#7ab88a">Weighted head connectivity</text>
<text x="788" y="314" text-anchor="middle" font-family="Consolas,monospace" font-size="9" fill="#8aaa90">input_j = Σᵢ A[i][j] · output_i (soft → differentiable)</text>
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<!-- NLL Loss -->
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<!-- ============ GRADIENT FLOW ============ -->
<!-- Arrow: NLL → left, up (right of yellow box), into Predictor -->
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<text x="510" y="350" text-anchor="start" font-size="10" fill="#cc6666">∇ NLL</text>
<!-- ============ TRAINING PHASES ============ -->
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<text x="520" y="620" text-anchor="middle" font-size="10" fill="#5a5a6a" letter-spacing="2">TRAINING — FULLY DIFFERENTIABLE PIPELINE</text>
<!-- Phase 1 -->
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<text x="265" y="656" text-anchor="middle" font-size="12" fill="#cccc6a" font-weight="600">Phase 1: Train Predictor Only</text>
<text x="55" y="678" text-anchor="start" font-family="Consolas,monospace" font-size="9" fill="#aaa86a">OLMo2-1B frozen 🔒</text>
<text x="55" y="694" text-anchor="start" font-family="Consolas,monospace" font-size="9" fill="#aaa86a">Qwen-3-Emb frozen 🔒</text>
<text x="55" y="710" text-anchor="start" font-family="Consolas,monospace" font-size="9" fill="#aaa86a">Predictor trainable 🔓 ← only these params update</text>
<text x="55" y="732" text-anchor="start" font-size="9" fill="#7a7a5a">Goal: learn topologies that lower NLL vs dense baseline</text>
<text x="55" y="746" text-anchor="start" font-size="9" fill="#7a7a5a">Also generates (context, topology) pairs for future diffusion head</text>
<!-- Arrow between -->
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<text x="514" y="686" text-anchor="middle" font-size="9" fill="#6a6a6a">then</text>
<!-- Phase 2 -->
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<text x="775" y="656" text-anchor="middle" font-size="12" fill="#6acccc" font-weight="600">Phase 2: Joint Training (CPT)</text>
<text x="560" y="678" text-anchor="start" font-family="Consolas,monospace" font-size="9" fill="#6aaaa8">OLMo2-1B unfrozen 🔓 ← adapts to predicted topologies</text>
<text x="560" y="694" text-anchor="start" font-family="Consolas,monospace" font-size="9" fill="#6aaaa8">Qwen-3-Emb frozen 🔒</text>
<text x="560" y="710" text-anchor="start" font-family="Consolas,monospace" font-size="9" fill="#6aaaa8">Predictor trainable 🔓 ← co-evolves with OLMo</text>
<text x="560" y="732" text-anchor="start" font-size="9" fill="#4a7a7a">Goal: OLMo + Predictor co-alignment</text>
<text x="560" y="746" text-anchor="start" font-size="9" fill="#4a7a7a">Optional: swap MLP decoder → diffusion head (multi-modal topologies)</text>
<!-- ============ LEGEND ============ -->
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<text x="16" y="0" text-anchor="start" font-size="9" fill="#6a6a7a">active</text>
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<text x="76" y="0" text-anchor="start" font-size="9" fill="#6a6a7a">pruned</text>
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<text x="164" y="0" text-anchor="start" font-size="9" fill="#6a6a7a">hyperconn</text>
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<text x="264" y="0" text-anchor="start" font-size="9" fill="#6a6a7a">gradient</text>
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<text x="354" y="0" text-anchor="start" font-size="9" fill="#6a6a7a">forward</text>
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<text x="416" y="0" text-anchor="start" font-size="9" fill="#6a6a7a">cascading gate (new)</text>
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<p class="foot">
Cascading Gate enforces: no incoming edges → no outgoing edges · differentiable via soft sigmoid gate<br/>
Future: Phase 1 data → train diffusion decoder to capture multi-modal optimal topologies
</p>
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