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- Alex Fink
- 2009

The binomial ideal associated with the intersection axiom of conditional probability is shown to be radical and is expressed as an intersection of toric prime ideals. This resolves a conjecture in algebraic statistics due to Cartwright and Engström. Conditional independence contraints are a family of natural constraints on probability distributions,… (More)

- Lisa M. Wright, Xavier Barril, +14 authors Roderick E. Hubbard
- Chemistry & biology
- 2004

Inhibition of the ATPase activity of the chaperone protein HSP90 is a potential strategy for treatment of cancers. We have determined structures of the HSP90alpha N-terminal domain complexed with the purine-based inhibitor, PU3, and analogs with enhanced potency both in enzyme and cell-based assays. The compounds induce upregulation of HSP70 and… (More)

- Alex Fink, David Speyer
- 2011

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 provide a geometric interpretation of the Tutte polynomial. We also extend results of the second author concerning the behavior of such classes under direct sum, series and parallel connection and… (More)

We present type preserving bijections between noncrossing and nonnesting partitions for all classical reflection groups, answering a question of Athanasiadis and Reiner. The bijections for the abstract Coxeter types B, C and D are new in the literature. To find them we define, for every type, sets of statistics that are in bijection with noncrossing and… (More)

- Alex Fink
- J. Comb. Theory, Ser. A
- 2012

- Alex Fink, Jörg Denzinger, John Aycock
- 2007 IEEE Symposium on Computational Intelligence…
- 2007

We present a first application of a general approach to learn the behavior of NPCs (and other entities) in a game from observing just the graphical output of the game during game play. This allows some understanding of what a human player might be able to learn during game play. The approach uses object tracking and situation-action pairs with the… (More)

- Alex Fink, Felipe Rincón
- J. Comb. Theory, Ser. A
- 2015

Article history: Received 18 March 2014 Available online 11 June 2015 Dedicated to the memory of Andrei Zelevinsky

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 R is a field, we recover matroids. When R = Z, and when R is a DVR, we get (structures which contain all the data of) quasi-arithmetic matroids, and valuated matroids, respectively. More generally, whenever… (More)

- Harm Derksen, Alex Fink
- 2010

Many important invariants for matroids and polymatroids, such as the Tutte polynomial, the Billera-JiaReiner quasi-symmetric function, and the invariant G introduced by the first author, are valuative. In this paper we construct the Z-modules of all Z-valued valuative functions for labeled matroids and polymatroids on a fixed ground set, and their unlabeled… (More)