https://thecodersblog.com/tag/transformers/Recent content in Transformers on The Coders BlogHugoen-usFri, 08 May 2026 06:55:05 +0000https://thecodersblog.com/polynomial-autoencoder-beats-pca-on-transformer-embeddings-2026/Fri, 08 May 2026 06:55:05 +0000https://thecodersblog.com/polynomial-autoencoder-beats-pca-on-transformer-embeddings-2026/<p>Forget linear assumptions: Transformer embeddings are exhibiting a distinct <strong>&ldquo;cone effect,&rdquo;</strong> a non-linear tail of variance that traditional linear dimensionality reduction methods like PCA simply miss. This isn&rsquo;t just a theoretical quirk; it&rsquo;s a practical bottleneck for model compression and analysis. Recent work, drawing on established &ldquo;quadratic manifold&rdquo; techniques, introduces a <strong>Polynomial Autoencoder</strong>—specifically, a linear PCA encoder paired with a quadratic decoder—that demonstrably outperforms PCA in capturing this elusive non-linear structure. This isn&rsquo;t about tweaking SGD hyperparameters; it&rsquo;s a computationally elegant, closed-form solution that unlocks richer representations.</p>