<p contenteditable="true"><strong>Abstract</strong> — The intrinsic structure of high-dimensional neural representations remains one of the central puzzles in computational neuroscience. This paper introduces a topological framework to analyze how cognitive maps emerge from recurrent activity patterns. Using persistent homology and manifold learning, we demonstrate that neural population activity forms low-dimensional manifolds whose topological features directly correlate with behavioral variability. Our results suggest that the “neural manifold hypothesis” extends beyond geometry into algebraic topology, providing novel biomarkers for learning and adaptation. We validate the approach on simulated spiking networks and real calcium-imaging data from murine hippocampus.</p>
The basic type of html2pdf.js is the simplest way to convert HTML to PDF. It uses the default settings and generates a PDF document with a single page. -types html2pdf.js
// ---- ORIGINAL CONTENT SNAPSHOT (for reset) ---- // Store the original HTML from within .paper-content to preserve initial state const originalContentHTML = document.getElementById('editableContent').innerHTML; // ---- ORIGINAL CONTENT SNAPSHOT (for reset) ----
import * as html2pdf from 'html2pdf.js'; // or const html2pdf = require('html2pdf.js'); import * as html2pdf from 'html2pdf.js'
If managing custom types is too burdensome, consider these alternatives:
;