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Research Output 2000 2019

2019

Stillman’s conjecture via generic initial ideals

Draisma, J., Lasoń, M. & Leykin, A., 16 Apr 2019, In : Communications in Algebra. 47, 6, p. 2384-2395

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Generic Initial Ideal
Finitely Generated
Lexicographic Order
Formal Power Series
Homogeneous Polynomials
2018
1 Citation (Scopus)

Algebraic matroids and Frobenius flocks

Bollen, G. P., Draisma, J. & Pendavingh, R., 7 Jan 2018, In : Advances in Mathematics. 323, p. 688-719 32 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Flock
Frobenius
Matroid
Valuation
Positive Characteristic

A note on ED degrees of stable subvarieties in polar representations

Bik, A. & Draisma, J., 2018, In : Israel Journal of Mathematics. 228, 1, p. 353-377 25 p.

Research output: Contribution to journalArticleAcademicpeer-review

Euclidean Distance
Intersection
Subspace
Generalise

Best rank-k approximations for tensors: generalizing Eckart–Young

Draisma, J., Ottaviani, G. & Tocino, A., 1 Jun 2018, In : Research in the Mathematical Sciences. 5, 2, 13 p., 27

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Tensors
Tensor
Approximation
H-space
Triangle inequality

Frobenius flocks and algebraicity of matroids

Bollen, G. P., 7 Dec 2018, Eindhoven: Technische Universiteit Eindhoven. 156 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Open Access
File

Markov random fields and iterated toric fibre products

Draisma, J. & Oosterhof, F. M., 1 Jun 2018, In : Advances in Applied Mathematics. 97, p. 64-79 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

Random Field
Fiber
Toric Varieties
Fibers
Finite Graph

On metric graphs with prescribed gonality

Cools, F. & Draisma, J., 1 May 2018, In : Journal of Combinatorial Theory. Series A. 156, p. 1-21 21 p.

Research output: Contribution to journalArticleAcademicpeer-review

Gonality
Metric Graphs
Harmonic Maps
Graph in graph theory
Moduli Space
1 Citation (Scopus)

Plücker varieties and higher secants of Sato's Grassmannian

Draisma, J. & Eggermont, R. H., 4 Jan 2018, In : Journal für die reine und angewandte Mathematik (Crelle's Journal). 737, p. 189-215 27 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Grassmannian
Chord or secant line
Polynomials
Vector spaces
Natural number

Polynomials and tensors of bounded strength

Bik, A., Draisma, J. & Eggermont, R. H., 2 Aug 2018, (Accepted/In press) In : Communications in Contemporary Mathematics.

Research output: Contribution to journalArticleAcademicpeer-review

Tensors
Tensor
Polynomials
Polynomial
Tensor Decomposition
2017

Algebraic matroids and Frobenius flocks

Bollen, G. P., Draisma, J. & Pendavingh, R. A., 23 Jan 2017, In : arXiv. 1701.06384v2, p. 1-21 21 p., 1701.06384v2

Research output: Contribution to journalArticleAcademic

Open Access
File
Flock
Frobenius
Matroid
Valuation
Positive Characteristic
5 Citations (Scopus)

Orthogonal and unitary tensor decomposition from an algebraic perspective

Boralevi, A., Draisma, J., Horobeţ, E. & Robeva, E., 1 Oct 2017, In : Israel Journal of Mathematics. 222, 1, p. 223-260 38 p.

Research output: Contribution to journalArticleAcademicpeer-review

Tensor Decomposition
Decomposable
Alternating tensor
Tensor
Higher-order Tensor

Uniform determinantal representations

Boralevi, A., van Doornmalen, M. J., Draisma, J., Hochstenbach, M. E. & Plestenjak, B., 3 Aug 2017, In : SIAM Journal on Applied Algebra and Geometry. 1, 1, p. 415-441 27 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
Polynomial
Lower bound
Root-finding
Singular matrix
Complexity Theory
2016
2 Citations (Scopus)

Faithful tropicalisation and torus actions

Draisma, J. & Postinghel, E., 1 Mar 2016, In : Manuscripta Mathematica. 149, 3-4, p. 315-338 24 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Torus Action
Faithful
Cayley
Grassmannian
Continuous Map
1 Citation (Scopus)

On the existence of identifiable reparametrizations for linear compartment models

Baaijens, J. A. & Draisma, J., 2016, In : SIAM Journal on Applied Mathematics. 76, 4, p. 1577-1605 29 p.

Research output: Contribution to journalArticleAcademicpeer-review

Compartment Model
Reparametrization
Linear Model
Scaling
MapReduce

Tensors of low rank

Horobet, E., 19 May 2016, Eindhoven: Technische Universiteit Eindhoven. 109 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Open Access
File
2 Citations (Scopus)

The average number of critical rank-one approximations to a tensor

Draisma, J. & Horobeţ, E., 1 Dec 2016, In : Linear and Multilinear Algebra. 64, 12, p. 2498-2518 21 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Tensor
Count
Approximation
Random Matrix Theory
Distance Function
44 Citations (Scopus)

The Euclidean distance degree of an algebraic variety

Draisma, J., Horobet, E., Ottaviani, G., Sturmfels, B. & Thomas, R. R., Feb 2016, In : Foundations of Computational Mathematics. 16, 1, p. 99-149

Research output: Contribution to journalArticleAcademicpeer-review

Algebraic Variety
Euclidean Distance
Low-rank Matrices
Computational geometry
Algebraic function
2015
2 Citations (Scopus)

An online version of Rota's basis conjecture

Bollen, G. P. & Draisma, J., 2015, In : Journal of Algebraic Combinatorics. 41, 4, p. 1001-1012 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Row vector
Exterior Algebra
Online Algorithms
Vector space
Permutation

Automorphism groups of Gaussian chain graph models

Draisma, J. & Zwiernik, P. W., 2015, s.n.26 p. (arXiv.org; vol. 1501.03013 [math.ST])

Research output: Book/ReportReportAcademic

File
Chain Graph
Graph Model
Automorphism Group
Gaussian Model
Maximal Invariant
5 Citations (Scopus)

Euclidean distance degrees of real algebraic groups

Baaijens, J. A. & Draisma, J., 2015, In : Linear Algebra and Its Applications. 467, p. 174-187 14 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Algebraic Groups
Euclidean Distance
Matrix Groups
Special Linear Group

Finiteness properties of varieties with large group actions

Eggermont, R. H., 2015, Eindhoven: Technische Universiteit Eindhoven. 193 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Open Access
File
7 Citations (Scopus)

Finiteness results for Abelian tree models

Draisma, J. & Eggermont, R. H., 2015, In : Journal of the European Mathematical Society. 17, 4, p. 711-738

Research output: Contribution to journalArticleAcademicpeer-review

Finiteness
Phylogenetic Tree
Symmetry Group
Equivariant
Stars

Geometry, invariants, and the search for elusive complexity lower bounds

Draisma, J., 2015, In : SIAM News. 48, 2

Research output: Contribution to journalArticleProfessional

2 Citations (Scopus)

Lossy gossip and composition of metrics

Brouwer, A. E., Draisma, J. & Frenk, B. J., 2015, In : Discrete and Computational Geometry. 53, 4, p. 890-913

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Gossip
Monoid
Fans
Metric
Chemical analysis
2 Citations (Scopus)

Noetherianity for infinite-dimensional toric varieties

Draisma, J., Eggermont, R. H., Krone, R. & Leykin, A., 29 Oct 2015, In : Algebra & Number Theory. 9, 8, p. 1857-1880

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Toric Ideal
Toric Varieties
del operator
Monomial
Noetherian

On the existence of identifiable reparametrizations for linear compartment models

Baaijens, J. A. & Draisma, J., 2015, s.l.: s.n.32 p. (arXiv; vol. vol. 1509.02551)

Research output: Book/ReportReportAcademic

Open Access
File
Compartment Model
Reparametrization
Linear Model
Scaling
MapReduce

Special issue on effective methods in algebraic computation

Dickenstein, A., Draisma, J. & Mourrain, B., 2015, In : Journal of Symbolic Computation. 68, 2, p. 1-3 3 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Algebraic Geometry
Geometry
Biennial
Algebraic number
Symbolic Computation
1 Citation (Scopus)

The degrees of a system of parameters of the ring of invariants of a binary form

Brouwer, A. E., Draisma, J. & Popoviciu, M., 2015, In : Transformation Groups. 20, 4, p. 953-967

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Binary Forms
Divisibility
Ring
Invariant
Form
2014
24 Citations (Scopus)

Bounded-rank tensors are defined in bounded degree

Draisma, J. & Kuttler, J., 2014, In : Duke Mathematical Journal. 163, 1, p. 35-63

Research output: Contribution to journalArticleAcademicpeer-review

Tensor Rank
Tensor
Polynomial
Vector space
Upper bound

Euclidean distance degrees of real algebraic groups

Baaijens, J. A. & Draisma, J., 2014, s.n.11 p. (arXiv.org; vol. 1405.0422 [math.OC])

Research output: Book/ReportReportAcademic

Open Access
File
Algebraic Groups
Euclidean Distance
Special Linear Group
Matrix Groups

Faithful tropicalisation and torus actions

Draisma, J. & Postinghel, E., 2014, s.n.20 p. (arXiv; vol. 1404.4715 [math.AG])

Research output: Book/ReportReportAcademic

Open Access
File
Torus Action
Faithful
Minor
Cayley
Grassmannian

Lossy gossip and composition of metrics

Brouwer, A. E., Draisma, J. & Frenk, B. J., 2014, s.n.17 p. (arXiv; vol. 1405.5979 [math.CO])

Research output: Book/ReportReportAcademic

Open Access
File

Maximum likelihood duality for determinantal varieties

Draisma, J. & Rodriguez, J., 2014, In : International Mathematics Research Notices. 2014, 20, p. 5648-5666

Research output: Contribution to journalArticleAcademicpeer-review

Maximum Likelihood
Duality
Critical point
Skew symmetric matrix
Likelihood Function
7 Citations (Scopus)

Noetherianity up to symmetry

Draisma, J., 2014, Combinatorial Algebraic Geometry (Levico Terme, Italy, June 10-15 2013). Di Rocco, S. & Sturmfels, B. (eds.). Cham/Firenze: Springer, p. 33-61 (Lecture Notes in Mathematics; vol. 2108)

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

Algebraic Geometry
Symmetry Group
Algebraic Statistics
Multilinear Algebra
Combinatorial Geometry

Plücker varieties and higher secants of Sato's Grassmannian

Draisma, J. & Eggermont, R. H., 2014, s.n.25 p. (arXiv; vol. 1402.1667 [math.AG])

Research output: Book/ReportReportAcademic

Open Access
File
Grassmannian
Chord or secant line
Natural number
Vector space
Secant Varieties
3 Citations (Scopus)

Some noteworthy alternating trilinear forms

Draisma, J. & Shaw, R., 2014, In : Journal of Geometry. 105, 1, p. 167-176

Research output: Contribution to journalArticleAcademicpeer-review

Line
Denote
Form

The average number of critical rank-one approximations to a tensor

Draisma, J. & Horobet, E., 2014, s.n.19 p. (arXiv.org; vol. 1408.3507 [math.OC])

Research output: Book/ReportReportAcademic

Open Access
File
tensors
approximation
matrix theory
normal density functions
critical point

The degrees of a system of parameters of the ring of invariants of a binary form

Brouwer, A. E., Draisma, J. & Popoviciu, M., 2014, s.n.15 p. (arXiv; vol. 1404.5722 [math.AC])

Research output: Book/ReportReportAcademic

Open Access
File
Binary Forms
Divisibility
Ring
Invariant
Form
4 Citations (Scopus)

The Euclidean distance degree

Draisma, J., Horobet, E., Ottaviani, G., Sturmfels, B. & Thomas, R. R., 2014, 2014 Symposium on Symbolic-Numeric Computation (SNC'14, Shanghai, China, July 28-31, 2014). Zhi, L. & Watt, M. (eds.). New York: Association for Computing Machinery, Inc, p. 9-16

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Euclidean Distance
Critical point
Low-rank Matrices
Algebraic function
Chern Classes
2013

An online version of Rota's basis conjecture

Bollen, G. P. & Draisma, J., 2013, s.n.10 p. (arXiv.org; vol. 1312.5953 [math.CO])

Research output: Book/ReportReportAcademic

Open Access
File
Row vector
Vector space
Permutation
Knowledge

Book review: Toric varieties

Draisma, J., 2013, In : Nieuw Archief voor Wiskunde. 5/14, 2, p. 147-147

Research output: Contribution to journalBook reviewProfessional

3 Citations (Scopus)

Energy minimization of repelling particles on a toric grid

Bouman, N., Draisma, J. & Leeuwaarden, van, J. S. H., 2013, In : SIAM Journal on Discrete Mathematics. 27, 3, p. 1295-1312

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Energy Minimization
Grid
Completely Monotonic Function
Energy Efficient
Torus
3 Citations (Scopus)

Groups acting on Gaussian graphical models

Draisma, J., Kuhnt, S. & Zwiernik, P. W., 2013, In : The Annals of Statistics. 41, 4, p. 1944-1969 26 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Gaussian Model
Graphical Models
Equivariant Estimator
Breakdown Point
Graph in graph theory

Noetherianity for infinite-dimensional toric varieties

Draisma, J., Eggermont, R. H., Krone, R. & Leykin, A., 2013, s.n.20 p. (arXiv.org; vol. 1306.0828 [math.AC])

Research output: Book/ReportReportAcademic

Open Access
File
Toric Ideal
Toric Varieties
del operator
Monomial
Noetherian

Noetherianity up to symmetry

Draisma, J., 2013, s.n.38 p. (arXiv.org; vol. 1310.1705 [math.AG])

Research output: Book/ReportReportAcademic

Open Access
File
Algebraic Geometry
Symmetry Group
Algebraic Statistics
Multilinear Algebra
Combinatorial Geometry

Non-imaging optics for LED-lighting

Berg, van den, J. B., Castro, R. M., Draisma, J., Evers, J. H. M., Hendriks, M., Krehel, O., Kryven, I., Mora, K., Szabó, B. T. & Zwiernik, P. W., 2013, Proceedings of the 84th European Study Group Mathematics with Industry (SWI 2012). Boon, M. A. A. (ed.). p. 70-103

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

Open Access
File
illuminating
Monte Carlo method
light emitting diodes
optics
fixtures
2 Citations (Scopus)

Positivity for Gaussian graphical models

Draisma, J., Sullivant, S. & Talaska, K., 2013, In : Advances in Applied Mathematics. 50, 5, p. 661-674

Research output: Contribution to journalArticleAcademicpeer-review

Gaussian Model
Graphical Models
Positivity
Variable Structure
Dependence Structure

Proceedings of the 84th European Study Group Mathematics with Industry (SWI 2012), Eindhoven, January 30 - February 3, 2012

Boon, M. A. A. (ed.), Di Bucchianico, A. (ed.), Draisma, J. (ed.), Hofstad, van der, R. W. (ed.), Muntean, A. (ed.), Peletier, M. A. (ed.) & Oosterwijk, J. (ed.), 2013, s.l.: s.n.151 p. (Mathematics with industry : European Study Group : proceedings (SWI); vol. 84)

Research output: Book/ReportBook editingAcademic

Open Access
File
Industry
India
Mathematical Modeling
Moment
Geometric Algorithms
2 Citations (Scopus)

Tensor invariants for certain subgroups of the orthogonal group

Draisma, J. & Regts, G., 2013, In : Journal of Algebraic Combinatorics. 38, 2, p. 393-405 13 p.

Research output: Contribution to journalArticleAcademicpeer-review

Vertex Model
Orthogonal Group
Connection Matrix
Tensor
Subgroup

The Euclidean distance degree of an algebraic variety

Draisma, J., Horobet, E., Ottaviani, G., Sturmfels, B. & Thomas, R. R., 2013, s.n.42 p. (arXiv.org; vol. 1309.0049 [math.AG])

Research output: Book/ReportReportAcademic

Open Access
File
Algebraic Variety
Euclidean Distance
Low-rank Matrices
Algebraic function
Exact Computation