Motivated by the investigation of algebraic approaches to study identifiability and ambiguity in factor modelling, we introduce a method to explore the properties of a factor of interest, in particular its dependence structure and sensitivity to deformations, under partial observability described by a pattern matrix. The proposal is based on deformations of matrix factorisations under the condition that the terms of their determinantal decompositions are monomials. We identify a trivial class of monomial assignments compatible with determinantal constraints and find minimal conditions on the pattern matrix, which correspond to forbidden configurations for graph planarity, guaranteeing that only such trivial assignments are valid. Counterexa...
AbstractIn Valiant's theory of arithmetic complexity, the following question occupies a central posi...
We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commut...
AbstractThe probability of the title is evaluated and related to an expression involving theta funct...
Motivated by the investigation of algebraic approaches to study identifiability and ambiguity in fac...
Motivated by the investigation of algebraic approaches to study identifiability and ambiguity in fac...
We introduce an algebraic model based on the expansion of the determinant of two matrices to provide...
We impose rank one constraints on marginalizations of a tensor, given by a simplicial complex. Follo...
We study a certain family of hypersurface arrangements known as determinantal arrangements. Determin...
AbstractBy generalizing the Robinson-Schensted-Knuth insertion procedure, we establish a bijective c...
AbstractA different proof of the fact that the first syzygy module of minors of certain size defined...
In the context of the Anderson model, Minami proved a Wegner type bound on the expectation of 2 × 2 ...
AbstractAs a culmination of the efforts of the invariant theorists from Clebsch, Gordan, Young, to R...
In this paper we explore determinantal representations of multiaffine polynomials and consequences f...
Let $Hilb ^{p(t)}(P^n)$ be the Hilbert scheme of closed subschemes of $P^n$ with Hilbert polynomial ...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
AbstractIn Valiant's theory of arithmetic complexity, the following question occupies a central posi...
We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commut...
AbstractThe probability of the title is evaluated and related to an expression involving theta funct...
Motivated by the investigation of algebraic approaches to study identifiability and ambiguity in fac...
Motivated by the investigation of algebraic approaches to study identifiability and ambiguity in fac...
We introduce an algebraic model based on the expansion of the determinant of two matrices to provide...
We impose rank one constraints on marginalizations of a tensor, given by a simplicial complex. Follo...
We study a certain family of hypersurface arrangements known as determinantal arrangements. Determin...
AbstractBy generalizing the Robinson-Schensted-Knuth insertion procedure, we establish a bijective c...
AbstractA different proof of the fact that the first syzygy module of minors of certain size defined...
In the context of the Anderson model, Minami proved a Wegner type bound on the expectation of 2 × 2 ...
AbstractAs a culmination of the efforts of the invariant theorists from Clebsch, Gordan, Young, to R...
In this paper we explore determinantal representations of multiaffine polynomials and consequences f...
Let $Hilb ^{p(t)}(P^n)$ be the Hilbert scheme of closed subschemes of $P^n$ with Hilbert polynomial ...
The problem of expressing a specific polynomial as the determinant of a square matrix of affine-line...
AbstractIn Valiant's theory of arithmetic complexity, the following question occupies a central posi...
We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commut...
AbstractThe probability of the title is evaluated and related to an expression involving theta funct...
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