arXiv subjects

Aron Lagerberg

Publications and source records attributed to Aron Lagerberg.

4 recordsLinked to original sources

arXiv2022

Sequence tagging for biomedical extractive question answering

Current studies in extractive question answering (EQA) have modeled the single-span extraction setting, where a single answer span is a label to predict for a given question-passage pair. This setting is natural for general domain EQA as the majority of the questions in the general domain can be answered with a single span. Following general domain EQA models, current biomedical EQA (BioEQA) models utilize the single-span extraction setting with post-processing steps. In this article, we investigate the question distribution across the general and biomedical domains and discover biomedical questions are more likely to require list-type answers (multiple answers) than factoid-type answers (single answer). This necessitates the models capable of producing multiple answers for a question. Based on this preliminary study, we propose a sequence tagging approach for BioEQA, which is a multi-span extraction setting. Our approach directly tackles questions with a variable number of phrases as their answer and can learn to decide the number of answers for a question from training data. Our experimental results on the BioASQ 7b and 8b list-type questions outperformed the best-performing existing models without requiring post-processing steps. Source codes and resources are freely available for download at https://github.com/dmis-lab/SeqTagQA

cs.CL↗

arXiv2011

$L^2$-estimates for the $d$-operator acting on super forms

In the setting of super forms developed in a previous article by the author, we introduce the notion of $\mathbb{R}$-Kähler metrics on $\mathbb{R}^{n}$. We consider existence theorems and $L^{2}-$estimates for the equation $dα=β$, where $α$ and $β$ are super forms, in the spirit of Hörmander's $L^{2}-$estimates for the $\bar{\partial}-$equation on a complex Kähler manifold.

math.CV↗

arXiv2010

Super currents and tropical geometry

We introduce the formalism of positive super currents on \mathbb{R}^{n}, in strong analogy with the theory of positive currents in \mathbb{C}^{n}. We consider intersection of currents and Lelong numbers, and as an application we show that the formalism can be used to describe tropical varieties. This is similar in spirit to the fact that in complex analysis the current of integration of an analytic variety can be identified with a closed, positive current.

math.AG↗

arXiv2010

A new generalization of the Lelong number

We introduce a quantity which measures the singularity of a plurisubharmonic function f relative to another plurisubharmonic function g, at a point a. This quantity, which we denote by $ν_{a,g}(f)$, can be seen as a generalization of the classical Lelong number, in a natural way. The main theorem of this article says that the upper level sets of our generalized Lelong number, i.e. the sets of the form $\{z: ν_{z,g}(f) \geq c > 0 \}$, are in fact analytic sets, under certain conditions on the weight g.

math.CV↗