Abstract We investigate the relation between concentration and product of metric measure spaces. have natural question whether, for two concentrating sequences spaces, sequence their spaces also concentrates. A partial answer is mentioned in Gromov’s book [4]. obtain a complete this question.

Neural network-based methods represent the state-of-the-art in question generation from text. Existing work focuses on generating only questions from text without concerning itself with answer generation. Moreover, our analysis shows that handling rare words and generating the most appropriate question given a candidate answer are still challenges facing existing approaches. We present a novel ...

We extend answer set programming of dynamical systems with more expressive programming constructs such sequence, conditional, loop, non-deterministic choice of actions/arguments, and procedures. We discuss its relevance to the problem of answer set planning. We present an SMODELS encoding of these constructs and formally prove the correctness of our encoding.

For a finite state automaton, a synchronizing sequence is an input sequence that takes all the states to the same state. Checking the existence of a synchronizing sequence and finding a synchronizing sequence, if one exists, can be performed in polynomial time. However, the problem of finding a shortest synchronizing sequence is known to be NP-hard. In this work, the usefulness of Answer Set Pr...

Communicating answer set programming is a framework to represent and reason about the combined knowledge of multiple agents using the idea of stable models. The semantics and expressiveness of this framework crucially depends on the nature of the communication mechanism that is adopted. The communication mechanism we introduce in this paper allows us to focus on a sequence of programs, where ea...