We study the distribution of a Brownian motion conditioned to start from boundary an open set G and stay in for finite period time. The characterizations distributions this kind terms certain singular stochastic differential equations are obtained. accumulated results applied boundaries clusters some coalescing flows on ℝ.

Open-set recognition (OSR) has achieved significant importance in recent years. For a robust system, we need to identify the right class from myriad of knowns and unknowns. In this work, build compare OSR systems for patient activity (PAR) using compact radar sensors hospital setting. Radar are an important part privacy-preserving monitoring system. Specifically, proposed approach is based on d...

In many object recognition applications, the set of possible categories is an open set, and deployed system will encounter novel objects belonging to unseen during training. Detecting such “novel category” usually formulated as anomaly detection problem. Anomaly algorithms for feature-vector data identify anomalies outliers, but outlier has not worked well in deep learning. Instead, methods bas...