Based on a rough path foundation, we develop model-free approach to stochastic portfolio theory (SPT). Our allows handle significantly more general portfolios compared previous approaches based Föllmer integration. Without the assumption of any underlying probabilistic model, prove pathwise formula for relative wealth process, which reduces in special case functionally generated version so-call...

Let G = ( V , E ) be a simple, connected graph. One is often interested in short path between two vertices u v ∈ . We propose spectral algorithm: construct the function ϕ : → R ≥ 0 arg ⁡ min f ≢ ∑ w 1 2 − can also understood as smallest eigenvector of Laplacian Matrix L D A after -th row and column have been removed. start point from to at each step, we move neighbor for which smallest. This al...

With the huge proliferation of mobile Internet Things (IoT) devices such as connected vehicles, drones, and healthcare wearables, IoT networks are promising connectivity capacity far beyond conventional computing platforms. The success this service provisioning is highly dependent on flexibility offered by enabling technologies to support mobility using different protocol stacks. Many autonomou...

Previous studies have shown that, during search flight in bats, wingbeat, respiration and echolocation are synchronised in a 1:1 relationship. An efficiently integrated locomotor-respiratory system enables bats to produce intense echolocation signals at little or no cost above that required for flight. In this study, we investigated the coupling of wingbeat with echolocation in the laboratory d...