The Bethe algebras for the Gaudin model act on the multiplicity space of tensor products of irreducible glr-modules and have simple spectrum over real points. This fact is proved by Mukhin, Tarasov and Varchenko who also develop a relationship to Schubert intersections over real points. We use an extension to M0,n+1(R) of these Schubert intersections, constructed by Speyer, to calculate the mon...

Analysis and renovation of large software portfolios requires syntax analysis of multiple, usually embedded, languages and this is beyond the capabilities of many standard parsing techniques. The traditional separation between lexer and parser falls short due to the limitations of tokenization based on regular expressions when handling multiple lexical grammars. In such cases scannerless parsin...

Photosynthetic eukaryotes have a complex evolutionary history shaped by multiple endosymbiosis events that required a tight coordination between the organelles and the rest of the cell. Plant ionotropic glutamate receptors (iGLRs) form a large superfamily of proteins with a predicted or proven non-selective cation channel activity regulated by a broad range of amino acids. They are involved in ...

In the recent works of Brubaker-Bump-Friedberg, Bump-Nakasuji, and others, the product in the Casselman-Shalika formula is written as a sum over a crystal. The coefficient of each crystal element is defined using the data coming from the whole crystal graph structure. In this paper, we adopt the tableau model for the crystal and obtain the same coefficients using data from each individual table...

The analysis of spoken language is widely considered to be a more challenging task than the analysis of written text. All of the difficulties of written language can generally be found in spoken language as well. Parsing spontaneous speech must, however, also deal with problems such as speech disfluencies, the looser notion of grammaticality, and the lack of clearly marked sentence boundaries. ...

Parser combinators elegantly and concisely model generalised LL parsers in a purely functional language. They nicely illustrate the concepts of higherorder functions, polymorphic functions and lazy evaluation. Indeed, parser combinators are often presented as a motivating example for functional programming. Generalised LL, however, has an important drawback: it does not handle (direct nor indir...

This paper addresses a target detection problem for which the covariance matrix of the unknown Gaussian clutter background has block diagonal structure. This block diagonal structure is the consequence of the target lying along a boundary between two statisticallyindependentclutter regions. Here, we design adaptive detection algorithmsusing both the generalized likelihood ratio (GLR) and invari...

With the advent of efficient algorithms and fast computers for training neural networks, it is now feasible to employ neural network predictors in the generalized likelihood ratio (GLR) test for the purpose of detecting abrupt nonstationary changes in the dynamics of a time series. We examine some of the special issues involved and present some simulation results validating the new hybrid algor...