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Mathematics

D-Index
31
Citations
5093
World Ranking
3305
National Ranking
1304

Overview

Harm Derksen is affiliated with the University of Michigan-Ann Arbor in the United States. Their work primarily spans the fields of Mathematics and Computer Science, with a notable focus on subfields such as Geometry and Topology, Computational Theory and Mathematics, Computational Mathematics, Mathematical Physics, and Artificial Intelligence.

The core topics of Derksen's research include:

  • Tensor decomposition and applications
  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Matrix Theory and Algorithms
  • Advanced Topics in Algebra
  • Non-Invasive Vital Sign Monitoring
  • Markov Chains and Monte Carlo Methods

Significant recent papers authored or co-authored by Derksen include:

  • Robust segmentation of lung in chest x-ray: applications in analysis of acute respiratory distress syndrome (2020), published in BMC Medical Imaging
  • Coupled matrix-matrix and coupled tensor-matrix completion methods for predicting drug-target interactions (2020), published in Briefings in Bioinformatics
  • Automated detection of acute respiratory distress syndrome from chest X-Rays using Directionality Measure and deep learning features (2021), published in Computers in Biology and Medicine
  • Multimodal tensor-based method for integrative and continuous patient monitoring during postoperative cardiac care (2021), published in Artificial Intelligence in Medicine
  • A Novel Tropical Geometry-Based Interpretable Machine Learning Method: Pilot Application to Delivery of Advanced Heart Failure Therapies (2022), published in IEEE Journal of Biomedical and Health Informatics

Frequent co-authors collaborating with Derksen include:

  • Visu Makam
  • Kayvan Najarian
  • Jonathan Gryak
  • Emanuele Viola
  • Calin Chindris

The majority of Derksen's work is published in venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Applied Algebra and Geometry
  • Advances in Mathematics
  • International Mathematics Research Notices
  • BMC Medical Imaging

Best Publications

  • Computational Invariant Theory

    Harm Derksen;Gregor Kemper

  • Segmentation of Multivariate Mixed Data via Lossy Data Coding and Compression

    Yi Ma;H. Derksen;Wei Hong;J. Wright

  • Quivers with potentials and their representations I: Mutations

    Harm Derksen;Jerzy Weyman;Andrei Zelevinsky

  • Quivers with potentials and their representations II: Applications to cluster algebras

    Harm Derksen;Jerzy Weyman;Andrei Zelevinsky

  • Estimation of Subspace Arrangements with Applications in Modeling and Segmenting Mixed Data

    Yi Ma;Allen Y. Yang;Harm Derksen;Robert Fossum

  • Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients

    Harm Derksen;Jerzy Weyman

  • Finite dimensional algebras

    Unknown

  • Valuative invariants for polymatroids

    Harm Derksen;Alex Fink

  • On the Littlewood–Richardson polynomials

    Harm Derksen;Jerzy Weyman

  • Invariant Theory of Finite Groups

    Unknown

  • Polynomial degree bounds for matrix semi-invariants

    Harm Derksen;Visu Makam

  • Quantum automata and algebraic groups

    Harm Derksen;Emmanuel Jeandel;Pascal Koiran

  • Valuative invariants for polymatroids

    Harm Derksen;Alex Fink

  • On the Canonical Decomposition of Quiver Representations

    Harm Derksen;Jerzy Weyman

  • Computation of Invariants for Reductive Groups

    Harm Derksen

  • The combinatorics of quiver representations

    Harm Derksen;Jerzy Weyman

  • Polynomial bounds for rings of invariants

    Harm Derksen

  • A sharp bound for the Castelnuovo–Mumford regularity of subspace arrangements

    Harm Derksen;Jessica Sidman

  • A Skolem–Mahler–Lech theorem in positive characteristic and finite automata

    Harm Derksen

  • The kernel of a derivation

    H.G.J. Derksen

  • General Presentations of Algebras.

    Harm Derksen;Jiarui Fei

  • Generalized quivers associated to reductive groups

    Harm Derksen;Jerzy Weyman

  • An Introduction to Quiver Representations

    Harm Derksen;Jerzy Weyman

  • Segmentation of multivariate mixed data via lossy coding and compression

    Harm Derksen;Yi Ma;Wei Hong;John Wright

Frequent Co-Authors

Kayvan Najarian
Kayvan Najarian University of Michigan–Ann Arbor
Jerzy Weyman
Jerzy Weyman University of Connecticut
Yi Ma
Yi Ma University of Hong Kong
David Masser
David Masser University of Basel
Andrei Zelevinsky
Andrei Zelevinsky Northeastern University
Allen Y. Yang
Allen Y. Yang University of California, Berkeley
Brahmajee K. Nallamothu
Brahmajee K. Nallamothu University of Michigan–Ann Arbor
Brian D. Athey
Brian D. Athey University of Michigan–Ann Arbor
Li Wang
Li Wang National Cheng Kung University
Maureen A. Sartor
Maureen A. Sartor University of Michigan–Ann Arbor

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