In this paper, I show that multimodal categorial type logic provides us with a system of linguistic inference which is fine-grained enough to give an adequate account of the forms of ellipsis that show up in coordinate constructions and comparatives. I present a unified account of Gapping in coordinate constructions and Subdeletion in clausal comparatives, improving on earlier work of Morrill (...

Abstract This paper presents a novel unsupervised abstractive summarization method for opinionated texts. While the basic variational autoencoder-based models assume unimodal Gaussian prior latent code of sentences, we alternate it with recursive mixture, where each mixture component corresponds to topic sentence and is mixed by tree-structured distribution. By decoding component, generate sent...

It is known that real Non-Gaussian stable distributions are unimodal, not additive strongly unimodal, and multiplicative strongly unimodal in the symmetric case. By a theorem of Cuculescu-Theodorescu [5], the only remaining relevant situation for the multiplicative strong unimodality of stable laws is the one-sided. In this paper, we show that positive α−stable laws are multiplicative strongly ...

One of the simplest ways of optimizing a problem without knowledge of its gradient, is to iteratively and randomly pick a sequence of candidate solutions that improve on the fitness. This paper shows mathematically that to exhaust the optimum of a problem, the search-range from which the candidate solutions are picked, must be decreased during an optimization run. A simple technique for doing t...

In this paper we prove that any sequence of n real numbers contains a unimodal subsequence of length at least [(3n-3/4) " '-fj and that this bound is best possible.