Search Results - "Fink, Alex"

A lattice point counting generalisation of the Tutte polynomial by Cameron, Amanda, Fink, Alex

“…The Tutte polynomial for matroids is not directly applicable to polymatroids. For instance, deletion- contraction properties do not hold. We construct a…”
Get full text

Derivation of a new banded waveguide model topology for sound synthesis by Fink, Alex M, Spanias, Andreas S, Cook, Perry R

“…Banded waveguide (BWG) synthesis is an efficient method for real-time physical modeling of dispersive and multidimensional sounding objects, affording…”
Get full text

DeepNeurite™: Identification of neurites from non‐specific binding of fluorescence probes through deep learning by Huang, Kai‐Chih, Lou, Shan, Wang, Chih‐Chieh, Thanawala, Monica S., Turner, Jesse, Fink, Alex, Ji, Lexiang, Sadaghiani, Masoud, Huang, Pearl, Dai, Hongyue

“…The nervous system plays an important role in human health and disease, and the unique morphologies of the neurons underlie its ability to interface with…”
Get full text

Matroids over a ring by Fink, Alex, Moci, Luca

“…We introduce the notion of a matroid $M$ over a commutative ring $R$, assigning to every subset of the ground set an $R$-module according to some axioms. When…”
Get full text

Invariants of vector configurations by Berget, Andrew, Fink, Alex

“…We investigate the Zariski closure of the projective equivalence class of a matrix. New results are presented regarding the matrices in this variety and their…”
Get full text

Equivariant K -Theory Classes of Matrix Orbit Closures by Berget, Andrew, Fink, Alex

“…Abstract The group $G = \textrm{GL}_r(k) \times (k^\times )^n$ acts on $\textbf{A}^{r \times n}$, the space of $r$-by-$n$ matrices: $\textrm{GL}_r(k)$ acts by…”
Get full text

The Tutte polynomial via lattice point counting by Cameron, Amanda, Fink, Alex

“…We recover the Tutte polynomial of a matroid, up to change of coordinates, from an Ehrhart-style polynomial counting lattice points in the Minkowski sum of its…”
Get full text

K-classes for matroids and equivariant localization by Fink, Alex, Speyer, David

“…To every matroid, we associate a class in the K-theory of the Grassmannian. We study this class using the method of equivariant localization. In particular, we…”
Get full text

Initial forms and a notion of basis for tropical differential equations by Fink, Alex, Toghani, Zeinab

Get full text

Presentations of transversal valuated matroids by Fink, Alex, Olarte, Jorge Alberto

“…Given d$d$ row vectors of n$n$ tropical numbers, d<n$d<n$, the tropical Stiefel map constructs a version of their row space, whose Plücker coordinates are…”
Get full text

Valuative invariants for polymatroids by Derksen, Harm, Fink, Alex

“…Many important invariants for matroids and polymatroids, such as the Tutte polynomial, the Billera–Jia–Reiner quasi-symmetric function, and the invariant G…”
Get full text

Bijections between noncrossing and nonnesting partitions for classical reflection groups by Fink, Alex, Giraldo, Benjamin Iriarte

“…We present $\textit{type preserving}$ bijections between noncrossing and nonnesting partitions for all classical reflection groups, answering a question of…”
Get full text

Stiefel tropical linear spaces by Fink, Alex, Rincón, Felipe

“…The tropical Stiefel map associates to a tropical matrix A its tropical Plücker vector of maximal minors, and thus a tropical linear space L(A). We call the…”
Get full text

Correction to: EQUIVARIANT CHOW CLASSES OF MATRIX VARIETIES by BERGET, ANDREW, FINK, ALEX

“…We correct two formulae in Section 5 of [BF17] in which, as published, the wrong lift of a class on a Grassmannian to the space of matrices was chosen…”
Get full text

EQUIVARIANT CHOW CLASSES OF MATRIX ORBIT CLOSURES by BERGET, ANDREW, FINK, ALEX

“…Let G be the product GL r ( C ) × ( C × ) n . We show that the G -equivariant Chow class of a G orbit closure in the space of r -by- n matrices is determined…”
Get full text

Tropical cycles and Chow polytopes by Fink, Alex

“…The Chow polytope of an algebraic cycle in a torus depends only on its tropicalisation. Generalising this, we associate a Chow polytope to any abstract…”
Get full text

An Ontological Framework for Retrieving Environmental Sounds Using Semantics and Acoustic Content by Wichern, Gordon, Mechtley, Brandon, Fink, Alex, Thornburg, Harvey, Spanias, Andreas

“…Organizing a database of user-contributed environmental sound recordings allows sound files to be linked not only by the semantic tags and labels applied to…”
Get full text

An Ontological Framework for Retrieving Environmental Sounds Using Semantics and Acoustic Content by Wichern, Gordon, Mechtley, Brandon, Fink, Alex, Thornburg, Harvey, Spanias, Andreas

“…Organizing a database of user-contributed environmental sound recordings allows sound files to be linked not only by the semantic tags and labels applied to…”
Get full text

Gröbner bases, symmetric matrices, and type C Kazhdan–Lusztig varieties by Escobar, Laura, Fink, Alex, Rajchgot, Jenna, Woo, Alexander

“…We study a class of combinatorially defined polynomial ideals that are generated by minors of a generic symmetric matrix. Included within this class are the…”
Get full text

Signed permutohedra, delta‐matroids, and beyond by Eur, Christopher, Fink, Alex, Larson, Matt, Spink, Hunter

“…We establish a connection between the algebraic geometry of the type B$B$ permutohedral toric variety and the combinatorics of delta‐matroids. Using this…”
Get full text