Geometric ML:

Lucidity Sciences is redefining the mathematical foundations of machine learning. Founded by a team of PhD mathematicians after more than a decade of core research, the company developed a breakthrough in GPU-parallelizable geometric manifold regularization that overcomes the longstanding limitations of traditional kernel methods, opening the door to a powerful general alternative to deep learning. The result is Lumawarp, a fundamentally new AI/ML engine that constructs wholly novel kernel functions directly from the data, enabling compact models that capture complex nonlinear relationships with exceptional accuracy while remaining dramatically smaller and more efficient than today's leading approaches. 

Instead of relying on ever-larger models with billions of parameters, Lumawarp leverages a novel geometric framework driven by partial differential equations (PDEs) to achieve state-of-the-art predictive performance in models measured in kilobytes, delivering microsecond inference speeds with significantly lower compute requirements all-around. By replacing the industry's "bigger is better" paradigm with a mathematically richer representation of data and its patterns, Lucidity Sciences makes AI/ML faster to train and less expensive to deploy on a scale unachievable by the standard engineering approaches.