We study extensions to higher dimensions of the classical Bayesian sequential testing and detection problems for Brownian motion. In main result, we show that, a large class problem formulations, cost function is unilaterally concave. This concavity result then used deduce structural properties continuation stopping regions in specific examples.

We argue for the benefit of designing deep generative models through a mixedinitiative, co-creative combination of deep learning algorithms and human specifications, focusing on multi-channel music composition. Sequence models have shown convincing results in domains such as summarization and translation; however, longer-term structure remains a major challenge. Given lengthy inputs and outputs...

Rational relations are binary relations of finite words that are realised by non-deterministic finite state transducers (NFT). A particular kind of rational relations is the sequential functions. Sequential functions are the functions that can be realised by input-deterministic transducers. Some rational functions are not sequential. However, based on a property on transducers called the twinni...

We adapt techniques employed in the design of parallel sorting algorithms to propose new sequential and multi-core sorting operations. The proposed approach is used to develop asymptotically efficient deterministic and randomized sorting operations whose practical sequential and multi-core performance, as witnessed by an experimental study, matches or surpasses existing optimized sorting algori...

SIGNAL, Lustre, Esterel, and a few other synchronous programming language compilers accomplish automated sequential code generation from synchronous specifications. In generating sequential code, the concurrency expressed in the synchronous programs is sequentialized mostly because such embedded software was designed to run on single-core processors. With the widespread advent of multi-core pro...

One assumption in supervised learning is that data is independent and identically distributed. However, this assumption does not hold true in many real cases. Sequential learning is that discipline of machine learning that deals with dependent data. In this paper, we revise the Multi-Scale Sequential Learning approach (MSSL) for applying it in the multi-class case (MMSSL). We have introduced th...