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depth-vs-width.html
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>SupraLabs | Hidden Topology: Depth vs. Width Scaling for SLMs</title>
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@media (max-width: 768px) {
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header { flex-direction: column; align-items: flex-start; gap: 1rem; }
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.stats-grid { grid-template-columns: 1fr; }
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}
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</style>
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</head>
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<body>
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| 102 |
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<div class="container">
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| 103 |
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<header>
|
| 104 |
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<div class="logo-area" style="font-size: 1.5em;">
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| 105 |
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<a href="index.html"><h1><img src="./image.png" style="height: 2em" alt="Logo"> SupraLabs_</h1></a>
|
| 106 |
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</div>
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| 107 |
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<nav>
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| 108 |
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<a href="#summary">Core Learnings</a>
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| 109 |
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<a href="#benchmarks">Topology Matrix</a>
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| 110 |
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<a href="#charts">Visualizations</a>
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| 111 |
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<a href="https://huggingface.co/SupraLabs" target="_blank">HuggingFace</a>
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| 112 |
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</nav>
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| 113 |
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</header>
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| 114 |
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| 115 |
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<section class="hero">
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| 116 |
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<h2>Experiment #4:<br>Hidden Topology — Depth vs. Width</h2>
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| 117 |
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<p>An isolated geometric sweep allocating a uniform parameter budget (~5M) to explore structural limits. We stressed tested deep sequential layers against shallow parallel computing layers over <strong>50,000,000 unique tokens</strong> using local bfloat16 hardware accelerator engines.</p>
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| 118 |
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</section>
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| 119 |
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| 120 |
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<span class="section-label" id="summary">// Structural_Discoveries_&_Compute_Autobahns</span>
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| 121 |
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<div class="card">
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| 122 |
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<h3>Shallow & Wide Monopolizes the Megabyte Scale</h3>
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| 123 |
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<p>Traditional deep-network assumptions state that depth unlocks highly abstract multi-step logic circuits. Our empirical architectural investigation completely reverses this paradigm for Small Language Models (SLMs) under 10M parameters:</p>
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| 124 |
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<ul>
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| 125 |
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<li><strong>The Bottleneck of Extreme Depth:</strong> Forcing a 4.2M model into a 12-layer deep structure shrinks internal tracking states down to an informational choke point. The layers are too narrow to retain text variations simultaneously.</li>
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| 126 |
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<li><strong>Massive Parallel Compute Highways:</strong> Truncating the architecture to 3 layers while expanding layer dimensions (Hidden: 256) establishes optimal neuronal real-estate. The weights map raw token dependencies instantly in parallel graphs.</li>
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| 127 |
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<li><strong>Hardware Acceleration Exploitation:</strong> Because sequential deep layer dependencies are cut, GPU execution pipelines run unfettered. Model througput spikes by 91%, delivering optimal performance profiles at minimal energy footprint.</li>
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| 128 |
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</ul>
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| 129 |
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</div>
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| 130 |
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| 131 |
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<span class="section-label" id="benchmarks">// Topology_Evaluation_Data</span>
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| 132 |
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<div class="card" style="padding: 1.5rem;">
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| 133 |
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<h3>Controlled Architectural Sweeps</h3>
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| 134 |
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<p>Pretrained via optimized hyperparameter constants. Perplexity (PPL) and Lower Pretrain Loss track the precision of language acquisition.</p>
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| 135 |
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| 136 |
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<div class="table-container">
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| 137 |
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<table>
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| 138 |
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<thead>
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| 139 |
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<tr>
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| 140 |
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<th>Structural Metric</th>
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| 141 |
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<th>Exp 1: Deep & Narrow</th>
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| 142 |
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<th>Exp 2: Balanced Baseline</th>
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| 143 |
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<th style="color: var(--success)">Exp 3: Shallow & Wide (🏆 Win)</th>
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| 144 |
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</tr>
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| 145 |
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</thead>
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| 146 |
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<tbody>
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| 147 |
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<tr>
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| 148 |
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<td class="mono">Layer Configuration</td>
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| 149 |
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<td>12 Layers (Hidden: 128)</td>
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| 150 |
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<td>6 Layers (Hidden: 192)</td>
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| 151 |
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<td style="color: var(--success)">3 Layers (Hidden: 256)</td>
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| 152 |
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</tr>
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| 153 |
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</tr>
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| 154 |
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<tr>
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| 155 |
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<td class="mono">Active Model Parameters</td>
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| 156 |
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<td>4,197,504</td>
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| 157 |
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<td>5,114,304</td>
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| 158 |
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<td>5,244,672</td>
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| 159 |
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</tr>
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| 160 |
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<tr>
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| 161 |
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<td class="mono">Pretrain Step Loss (↓)</td>
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| 162 |
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<td>4.539</td>
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| 163 |
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<td>4.345</td>
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| 164 |
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<td style="color: var(--success); font-weight: bold;">4.188</td>
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| 165 |
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</tr>
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| 166 |
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<tr>
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| 167 |
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<td class="mono">Pretrain Train Loss (↓)</td>
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| 168 |
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<td>5.567</td>
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| 169 |
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<td>5.302</td>
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| 170 |
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<td style="color: var(--success);">5.093</td>
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| 171 |
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</tr>
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| 172 |
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<tr>
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| 173 |
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<td class="mono">ARC-Easy Zero-Shot (↑)</td>
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| 174 |
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<td>29.17%</td>
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| 175 |
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<td>29.63%</td>
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| 176 |
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<td class="winner-badge">29.97%</td>
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| 177 |
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</tr>
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| 178 |
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<tr>
|
| 179 |
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<td class="mono">Wikitext Word PPL (↓)</td>
|
| 180 |
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<td>817.8844</td>
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| 181 |
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<td>585.5899</td>
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| 182 |
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<td class="winner-badge">418.6314</td>
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| 183 |
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</tr>
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| 184 |
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<tr>
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| 185 |
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<td class="mono">Compute Throughput (⚡)</td>
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| 186 |
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<td>218.7 samples/sec</td>
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| 187 |
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<td>282.9 samples/sec</td>
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| 188 |
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<td class="winner-badge">417.9 samples/sec</td>
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| 189 |
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</tr>
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| 190 |
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<tr class="highlight-row">
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| 191 |
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<td style="font-weight: bold;">EFFICIENCY MATRIX</td>
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| 192 |
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<td style="color: var(--warning)">Severe Structural Bottleneck</td>
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| 193 |
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<td>Intermediate Compression</td>
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| 194 |
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<td style="color: var(--success); font-weight: bold;">SOTA TOPOLOGY SWEETSPOT</td>
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| 195 |
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</tr>
|
| 196 |
+
</tbody>
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| 197 |
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</table>
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| 198 |
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</div>
|
| 199 |
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</div>
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| 200 |
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|
| 201 |
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<span class="section-label" id="charts">// Visualizing_Structural_Performance</span>
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| 202 |
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<div class="chart-box">
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| 203 |
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<h3>Downstream Perplexity Collapse vs. Topology</h3>
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| 204 |
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<div style="position: relative; height:350px; width:100%">
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| 205 |
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<canvas id="topologyChart"></canvas>
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| 206 |
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</div>
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| 207 |
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</div>
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| 208 |
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| 209 |
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<div class="chart-box">
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| 210 |
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<h3>The Hardware Advantage: Active Processing Speeds</h3>
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| 211 |
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<p style="font-size: 0.85rem; color: var(--muted); margin-bottom: 1.5rem;">Fewer structural steps cut matrix synchronization gaps, unlocking maximum execution parallelization on local Tensor Core engines.</p>
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| 212 |
+
<div style="position: relative; height:350px; width:100%">
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| 213 |
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<canvas id="throughputChart"></canvas>
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| 214 |
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</div>
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| 215 |
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</div>
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| 216 |
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| 217 |
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<section class="stats-grid" id="hardware">
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| 218 |
+
<div class="stat-box">
|
| 219 |
+
<small>COMPUTE TENSOR ENGINE</small>
|
| 220 |
+
<strong>Local bfloat16 Hardware Run</strong>
|
| 221 |
+
</div>
|
| 222 |
+
<div class="stat-box">
|
| 223 |
+
<small>CONSTANT SEARCH ENGINE</small>
|
| 224 |
+
<strong>Optuna Peak LR 0.001178</strong>
|
| 225 |
+
</div>
|
| 226 |
+
<div class="stat-box">
|
| 227 |
+
<small>OPTIMAL LAYOUT PROFILE</small>
|
| 228 |
+
<strong>3-Layer Wide Configuration</strong>
|
| 229 |
+
</div>
|
| 230 |
+
</section>
|
| 231 |
+
|
| 232 |
+
<footer>
|
| 233 |
+
<p>© 2026 SupraLabs. High performance. Small footprints. Proudly open-source.</p>
|
| 234 |
+
</footer>
|
| 235 |
+
</div>
|
| 236 |
+
|
| 237 |
+
<script>
|
| 238 |
+
// Topology Metrics Chart
|
| 239 |
+
const ctxTopo = document.getElementById('topologyChart').getContext('2d');
|
| 240 |
+
new Chart(ctxTopo, {
|
| 241 |
+
type: 'bar',
|
| 242 |
+
data: {
|
| 243 |
+
labels: ['Deep & Narrow (12L)', 'Balanced (6L)', 'Shallow & Wide (3L)'],
|
| 244 |
+
datasets: [
|
| 245 |
+
{
|
| 246 |
+
label: 'Wikitext Word Perplexity (Lower = Better)',
|
| 247 |
+
data: [817.88, 585.58, 418.63],
|
| 248 |
+
backgroundColor: ['rgba(255, 179, 0, 0.2)', 'rgba(83, 107, 254, 0.2)', 'rgba(0, 230, 118, 0.3)'],
|
| 249 |
+
borderColor: ['#ffb300', '#536bfe', '#00e676'],
|
| 250 |
+
borderWidth: 2
|
| 251 |
+
}
|
| 252 |
+
]
|
| 253 |
+
},
|
| 254 |
+
options: {
|
| 255 |
+
responsive: true,
|
| 256 |
+
maintainAspectRatio: false,
|
| 257 |
+
plugins: { legend: { labels: { color: '#bbb' } } },
|
| 258 |
+
scales: {
|
| 259 |
+
y: { grid: { color: '#222' }, ticks: { color: '#888' } },
|
| 260 |
+
x: { grid: { display: false }, ticks: { color: '#aaa' } }
|
| 261 |
+
}
|
| 262 |
+
}
|
| 263 |
+
});
|
| 264 |
+
|
| 265 |
+
// Throughput Chart
|
| 266 |
+
const ctxSpeed = document.getElementById('throughputChart').getContext('2d');
|
| 267 |
+
new Chart(ctxSpeed, {
|
| 268 |
+
type: 'line',
|
| 269 |
+
data: {
|
| 270 |
+
labels: ['Deep & Narrow', 'Balanced Baseline', 'Shallow & Wide'],
|
| 271 |
+
datasets: [{
|
| 272 |
+
label: 'Pretrain Throughput (samples/sec)',
|
| 273 |
+
data: [218.7, 282.9, 417.9],
|
| 274 |
+
borderColor: '#536bfe',
|
| 275 |
+
backgroundColor: 'rgba(83, 107, 254, 0.1)',
|
| 276 |
+
fill: true,
|
| 277 |
+
tension: 0.2,
|
| 278 |
+
borderWidth: 3
|
| 279 |
+
}]
|
| 280 |
+
},
|
| 281 |
+
options: {
|
| 282 |
+
responsive: true,
|
| 283 |
+
maintainAspectRatio: false,
|
| 284 |
+
plugins: { legend: { labels: { color: '#bbb' } } },
|
| 285 |
+
scales: {
|
| 286 |
+
y: { grid: { color: '#222' }, ticks: { color: '#888' } },
|
| 287 |
+
x: { grid: { color: '#222' }, ticks: { color: '#aaa' } }
|
| 288 |
+
}
|
| 289 |
+
}
|
| 290 |
+
});
|
| 291 |
+
</script>
|
| 292 |
+
</body>
|
| 293 |
+
</html>
|