Tag: tropical

From Universal Approximation Theorem to Tropical Geometry of Multi-Layer Perceptrons arXiv:2510.15012v1 Announce Type: new Abstract: We revisit the Universal Approximation Theorem(UAT) through the lens of the tropical geometry of neural networks and introduce a constructive, geometry-aware initialization for sigmoidal multi-layer perceptrons (MLPs). Tropical geometry shows that Rectified Linear Unit (ReLU) networks admit decision functions with…