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pro vyhledávání: '"Alexandersson Á"'
This paper, being the sequel of [An inverse problem in Polya-Schur theory. I. Non-genegerate and degenerate operators], studies a class of linear ordinary differential operators with polynomial coefficients called \emph{exactly solvable}; such an ope
Externí odkaz:
http://arxiv.org/abs/2412.01643
Autor:
Alexandersson, Per, Jal, Aryaman
We define and study rook matroids, the bases of which correspond to non-nesting rook placements on a skew Ferrers board. We show that rook matroids are closed under taking duals, direct sums but not minors. Rook matroids are also transversal, positro
Externí odkaz:
http://arxiv.org/abs/2410.00127
Autor:
Müller, Philipp, Balazia, Michal, Baur, Tobias, Dietz, Michael, Heimerl, Alexander, Penzkofer, Anna, Schiller, Dominik, Brémond, François, Alexandersson, Jan, André, Elisabeth, Bulling, Andreas
Estimating the momentary level of participant's engagement is an important prerequisite for assistive systems that support human interactions. Previous work has addressed this task in within-domain evaluation scenarios, i.e. training and testing on t
Externí odkaz:
http://arxiv.org/abs/2408.16625
Autor:
Müller, Philipp, Heimerl, Alexander, Hossain, Sayed Muddashir, Siegel, Lea, Alexandersson, Jan, Gebhard, Patrick, André, Elisabeth, Schneeberger, Tanja
Human emotions are often not expressed directly, but regulated according to internal processes and social display rules. For affective computing systems, an understanding of how users regulate their emotions can be highly useful, for example to provi
Externí odkaz:
http://arxiv.org/abs/2408.04420
A linear differential operator $T=Q(z)\frac{d}{dz}+P(z)$ with polynomial coefficients defines a continuous family of Hutchinson operators when acting on the space of positive powers of linear forms. In this context, $T$ has a unique minimal Hutchinso
Externí odkaz:
http://arxiv.org/abs/2406.10963
Autor:
Alexandersson, Per, Nabawanda, Olivia
The $(P, w)$-partition generating function $K_{(P,w)}(x)$ is a quasisymmetric function obtained from a labeled poset. Recently, Liu and Weselcouch gave a formula for the coefficients of $K_{(P,w)}(x)$ when expanded in the quasisymmetric power sum fun
Externí odkaz:
http://arxiv.org/abs/2405.19932
Given a linear ordinary differential operator T with polynomial coefficients, we study the class of closed subsets of the complex plane such that T sends any polynomial (resp. any polynomial of degree exceeding a given positive integer) with all root
Externí odkaz:
http://arxiv.org/abs/2404.14365
Accurate utterance classification in motivational interviews is crucial to automatically understand the quality and dynamics of client-therapist interaction, and it can serve as a key input for systems mediating such interactions. Motivational interv
Externí odkaz:
http://arxiv.org/abs/2404.03312
Large Language Models (LLMs) have exhibited remarkable capabilities in understanding and interacting with natural language across various sectors. However, their effectiveness is limited in specialized areas requiring high accuracy, such as plant sci
Externí odkaz:
http://arxiv.org/abs/2401.01600
We generalize several classical results about Schur functions to the family of cylindric Schur functions. First, we give a combinatorial proof of a Murnaghan--Nakayama formula for expanding cylindric Schur functions in the power-sum basis. We also ex
Externí odkaz:
http://arxiv.org/abs/2311.07382