Enabla<p>When our life is flooded with tons of incoming information, how can one distill what really matters? Of course, using dimensional reduction! 😁 In this lecture, Prof. Rodriguez Garcia explores this exact topic, focusing on Principal Component Analysis (PCA) and multidimensional scaling. He unpacks the intricacies of PCA as a linear transformation method and its role in reducing dimensionality while addressing challenges such as the identification of significant components and the implications of data lying in hyperplanes.</p><p>You're also welcome to explore various multidimensional scaling methods presented in the lecture and their applications in nonlinear dimensional reduction and intrinsic dimensionality estimation.</p><p>📽️ Don't miss the chance to watch this Abdus Salam International Centre for Theoretical Physics (ICTP) <a href="https://mathstodon.xyz/tags/OpenAccess" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>OpenAccess</span></a> lecture for free and engage in discussions with Prof. Rodriguez Garcia and the Enabla community: <a href="https://enabla.com/pub/1107/about" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="">enabla.com/pub/1107/about</span><span class="invisible"></span></a></p><p><a href="https://mathstodon.xyz/tags/DimensionalReduction" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>DimensionalReduction</span></a> <a href="https://mathstodon.xyz/tags/PrincipalComponentAnalysis" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PrincipalComponentAnalysis</span></a> <a href="https://mathstodon.xyz/tags/DataScience" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>DataScience</span></a> <a href="https://mathstodon.xyz/tags/MultidimensionalScaling" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MultidimensionalScaling</span></a> <a href="https://mathstodon.xyz/tags/OpenScience" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>OpenScience</span></a> <a href="https://mathstodon.xyz/tags/ICTP" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ICTP</span></a></p>