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+<!doctype html>
+<html lang="en">
+<head>
+<meta charset="utf-8">
+<title>SDIL in One Page</title>
+<style>
+ @page { size: Letter; margin: 0.48in 0.58in; }
+ * { box-sizing: border-box; }
+ body { margin: 0; color: #17232d; font: 9.4pt/1.24 Arial, sans-serif; }
+ h1 { margin: 0; color: #17324d; font-size: 23pt; line-height: 1.02; }
+ .subtitle { color: #176b9a; font-size: 13pt; margin: 2px 0 8px; }
+ .date { float: right; color: #5c6973; font-size: 8.5pt; margin-top: 4px; }
+ .idea { background: #eef5f8; border-left: 4px solid #176b9a;
+ padding: 7px 9px; margin: 0 0 7px; }
+ h2 { color: #17324d; font-size: 12.5pt; margin: 7px 0 2px; }
+ p { margin: 2px 0 4px; }
+ .eq { text-align: center; font: 12.5pt Georgia, serif; margin: 4px 0; }
+ table { width: 100%; border-collapse: collapse; margin: 5px 0; font-size: 8.7pt; }
+ th, td { padding: 3px 5px; border-bottom: 1px solid #d2dbe0; text-align: right; }
+ th:first-child, td:first-child { text-align: left; }
+ thead th { border-top: 1.5px solid #17324d; border-bottom: 1px solid #17324d; }
+ tbody tr:last-child td { border-bottom: 1.5px solid #17324d; }
+ ul { margin: 2px 0 0; padding-left: 17px; }
+ li { margin: 1px 0; }
+ .two { display: grid; grid-template-columns: 1fr 1fr; gap: 15px; }
+ footer { margin-top: 7px; padding-top: 4px; border-top: 1px solid #cad3d8;
+ color: #59666f; font-size: 7.8pt; }
+</style>
+</head>
+<body>
+ <div class="date">Working summary · 6 August 2026</div>
+ <h1>Learning from the Unexpected</h1>
+ <div class="subtitle">Somato-Dendritic Innovation Learning (SDIL)</div>
+
+ <div class="idea"><b>The idea.</b> A neuron's teaching signal contains both useful feedback and
+ ordinary activity-related bias. Predict the ordinary part from that neuron's own activity,
+ subtract it, and learn only from what remains.</div>
+
+ <h2>The whole method</h2>
+ <p>For layer <i>l</i>, fit a local predictor during neutral observations and form the innovation:</p>
+ <div class="eq">â<sub>l</sub> = P<sub>l</sub>(h<sub>l</sub>), &nbsp;&nbsp;
+ r<sub>l</sub> = a<sub>l</sub> − â<sub>l</sub>.</div>
+ <p>Then update each forward weight with information available at that neuron:</p>
+ <div class="eq">ΔW<sub>l</sub> = η [r<sub>l</sub> ⊙ φ′(u<sub>l</sub>)]
+ h<sub>l−1</sub><sup>T</sup>.</div>
+ <p>There is no reverse-mode differentiation, backward computation graph, or transport of
+ transposed forward weights. The feedback direction can come from causal perturbations or a
+ reciprocal local-feedback network. The new operation is the per-neuron subtraction, not the
+ feedback backbone.</p>
+
+ <h2>Current flagship result: standard CIFAR-10 ResNets</h2>
+ <p>Five paired seeds were run at every depth. SDIL improves as the network gets deeper and remains
+ close to exact backpropagation (BP).</p>
+ <table>
+ <thead><tr><th>Method</th><th>ResNet-20</th><th>ResNet-32</th><th>ResNet-56</th><th>ResNet-56 cost / BP</th></tr></thead>
+ <tbody>
+ <tr><td><b>SDIL</b></td><td>91.584</td><td>92.254</td><td><b>92.760</b></td><td>1.331×</td></tr>
+ <tr><td>BP</td><td>—</td><td>—</td><td>92.632</td><td>1.000×</td></tr>
+ <tr><td>Clean reciprocal feedback</td><td>—</td><td>—</td><td>92.670</td><td>—</td></tr>
+ <tr><td>DFA</td><td>—</td><td>—</td><td>30.850</td><td>—</td></tr>
+ </tbody>
+ </table>
+ <p>Numbers are mean test accuracy in percent. Every SDIL seed improves from ResNet-20 to
+ ResNet-56; the mean gain is 1.176 points. Its early-layer teaching direction has 0.999423 cosine
+ agreement with the exact descent direction.</p>
+
+ <div class="two">
+ <div>
+ <h2>The result that isolates the subtraction</h2>
+ <p>With strong activity-predictable interference, raw feedback and a magnitude-matched raw
+ control reach 10.38% and 10.31% accuracy. SDIL reaches <b>97.35%</b>. Across five seeds, its
+ paired gain over the magnitude-matched control is <b>87.038 ± 0.607 points</b>. Matching signal
+ size does not explain the result; subtraction changes the direction used for learning.</p>
+ </div>
+ <div>
+ <h2>Accuracy versus cost</h2>
+ <p>In the matched author-code VGG16 comparison, SDIL reaches <b>90.70%</b> validation accuracy
+ in <b>1.24 h</b>. Dual Prop reaches 92.38% in 5.97 h. Clean reciprocal feedback reaches 90.86%
+ in 1.08 h. SDIL is much cheaper than Dual Prop at similar accuracy, but it does not beat every
+ method on clean data.</p>
+ </div>
+ </div>
+
+ <h2>What would make the paper stronger</h2>
+ <ul>
+ <li>Show the same failure and recovery inside strong contrastive learners; the frozen Dual Prop bias screen is running now.</li>
+ <li>Finish the matched CNN, ResNet, and Transformer comparison; report accuracy, runtime, memory, and update cost together.</li>
+ <li>Test bias that drifts or is only partly predictable. Random noise is a negative control because this subtraction cannot remove it.</li>
+ </ul>
+
+ <footer>Inspired by neuron-specific somato-dendritic residuals reported by Francioni, Zhang,
+ Ahrens and Harnett, <i>Nature</i> (2026). All numbers above come from frozen, retained runs in this
+ repository; failed branches are not removed.</footer>
+</body>
+</html>
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