Relations between atmospheric variables are often non-linear, which complicates research efforts to explore and understand multivariable datasets. We describe a mutual information approach screen for the most significant associations in this setting. This method robustly detects linear non-linear dependencies after minor data quality checking. Confounding factors seasonal cycles can be taken in...

The alternation of existential and universal quantifiers in a quantified boolean formula (QBF) generates dependencies among variables that must be respected when evaluating the formula. Dependency schemes provide a general framework for representing such dependencies. Since it is generally intractable to determine dependencies exactly, a set of potential dependencies is computed instead, which ...

Simple as they may be, linear dependencies have proved very useful in many ways. In this survey several geometric applications of linear dependencies are discussed, focusing on rearrangements of sums and on sums with ±1 signs.

Imaging through scattering and random media is an outstanding problem that, to date, has been tackled by either measuring the medium transmission matrix or exploiting linear correlations in transmitted speckle patterns. However, techniques require interferometric stability correlations, such as memory effect, can be exploited only thin media. Here we show existence of a statistical dependency s...

Probabilistic topic models such as Latent Dirichlet Allocation (LDA) discover latent topics from large corpora by exploiting words’ co-occurring relation. By observing the topical similarity between words, we find that some other relations, such as semantic or syntax relation between words, lead to strong dependence between their topics. In this paper, sentences are represented as dependency tr...