Desmond J. Higham

ORCID

Publication Activity (10 Years)

Years Active: 1991-2024
Publications (10 Years): 60

Top Venues

CoRR

SIAM Rev.

SIAM J. Matrix Anal. Appl.

J. Complex Networks

Publications

Xue Gong, Desmond J. Higham, Konstantinos Zygalakis, Ginestra Bianconi
Higher-order Connection Laplacians for Directed Simplicial Complexes. CoRR (2024)
Francesca Arrigo, Desmond J. Higham, Vanni Noferini, Ryan Wood
Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs. SIAM J. Matrix Anal. Appl. 45 (1) (2024)
Stefano Di Giovacchino, Desmond J. Higham, Konstantinos Zygalakis
Backward error analysis and the qualitative behaviour of stochastic optimization algorithms: Application to stochastic coordinate descent. CoRR (2023)
Catherine F. Higham, Desmond J. Higham, Peter Grindrod
Diffusion Models for Generative Artificial Intelligence: An Introduction for Applied Mathematicians. CoRR (2023)
Desmond J. Higham
Can We Rely on AI? CoRR (2023)
Francesco Tudisco, Desmond J. Higham
Core-Periphery Detection in Hypergraphs. SIAM J. Math. Data Sci. 5 (1) (2023)
Lucas Beerens, Desmond J. Higham
Vulnerability Analysis of Transformer-based Optical Character Recognition to Adversarial Attacks. CoRR (2023)
Henry-Louis de Kergorlay, Desmond J. Higham
Connectivity of Random Geometric Hypergraphs. Entropy 25 (11) (2023)
Henry-Louis de Kergorlay, Desmond J. Higham
Connectivity of Random Geometric Hypergraphs. CoRR (2023)
Lucas Beerens, Desmond J. Higham
Adversarial Ink: Componentwise Backward Error Attacks on Deep Learning. CoRR (2023)
Alexander Bastounis, Alexander N. Gorban, Anders C. Hansen, Desmond J. Higham, Danil V. Prokhorov, Oliver J. Sutton, Ivan Yu. Tyukin, Qinghua Zhou
The Boundaries of Verifiable Accuracy, Robustness, and Generalisation in Deep Learning. CoRR (2023)
Oliver J. Sutton, Qinghua Zhou, Ivan Yu. Tyukin, Alexander N. Gorban, Alexander Bastounis, Desmond J. Higham
How adversarial attacks can disrupt seemingly stable accurate classifiers. CoRR (2023)
Xue Gong, Desmond J. Higham, Konstantinos Zygalakis
Generative Hypergraph Models and Spectral Embedding. CoRR (2022)
Stefano Di Giovacchino, Desmond J. Higham, Konstantinos C. Zygalakis
A Hierarchy of Network Models Giving Bistability Under Triadic Closure. Multiscale Model. Simul. 20 (4) (2022)
Catherine F. Higham, Desmond J. Higham, Francesco Tudisco
Testing a QUBO Formulation of Core-periphery Partitioning on a Quantum Annealer. CoRR (2022)
Francesco Tudisco, Desmond J. Higham
Core-periphery detection in hypergraphs. CoRR (2022)
Catherine F. Higham, Desmond J. Higham, Francesco Tudisco
Core-periphery Partitioning and Quantum Annealing. KDD (2022)
Francesca Arrigo, Desmond J. Higham, Vanni Noferini
A Theory for Backtrack-Downweighted Walks. SIAM J. Matrix Anal. Appl. 42 (3) (2021)
Ivan Yu. Tyukin, Desmond J. Higham, Eliyas Woldegeorgis, Alexander N. Gorban
The Feasibility and Inevitability of Stealth Attacks. CoRR (2021)
Desmond J. Higham, Nicholas J. Higham, Srikara Pranesh
Random Matrices Generating Large Growth in LU Factorization with Pivoting. SIAM J. Matrix Anal. Appl. 42 (1) (2021)
Stefano Di Giovacchino, Desmond J. Higham, Konstantinos C. Zygalakis
A Hierarchy of Network Models Giving Bistability Under Triadic Closure. CoRR (2021)
Francesco Tudisco, Desmond J. Higham
Node and Edge Eigenvector Centrality for Hypergraphs. CoRR (2021)
Austin R. Benson, David F. Gleich, Desmond J. Higham
Higher-order Network Analysis Takes Off, Fueled by Classical Ideas and New Data. CoRR (2021)
Francesca Arrigo, Desmond J. Higham, Vanni Noferini
A Theory for Backtrack-Downweighted Walks. CoRR (2020)
Desmond J. Higham
A Personal Perspective on Numerical Analysis and Optimization. CoRR (2020)
Ivan Yu. Tyukin, Desmond J. Higham, Alexander N. Gorban
On Adversarial Examples and Stealth Attacks in Artificial Intelligence Systems. IJCNN (2020)
Ivan Yu. Tyukin, Desmond J. Higham, Alexander N. Gorban
On Adversarial Examples and Stealth Attacks in Artificial Intelligence Systems. CoRR (2020)
Desmond J. Higham
Centrality-friendship paradoxes: when our friends are more important than us. J. Complex Networks 7 (4) (2019)
Francesco Tudisco, Desmond J. Higham
A Nonlinear Spectral Method for Core-Periphery Detection in Networks. SIAM J. Math. Data Sci. 1 (2) (2019)
Pierre Blanchard, Desmond J. Higham, Nicholas J. Higham
Accurate Computation of the Log-Sum-Exp and Softmax Functions. CoRR (2019)
Francesca Arrigo, Desmond J. Higham, Vanni Noferini
Non-backtracking PageRank. J. Sci. Comput. 80 (3) (2019)
Francesco Tudisco, Desmond J. Higham
A fast and robust kernel optimization method for core-periphery detection in directed and weighted graphs. Appl. Netw. Sci. 4 (1) (2019)
Francesca Arrigo, Desmond J. Higham, Francesco Tudisco
A framework for second order eigenvector centralities and clustering coefficients. CoRR (2019)
Francesca Arrigo, Desmond J. Higham, Vanni Noferini
Non-Backtracking Alternating Walks. SIAM J. Appl. Math. 79 (3) (2019)
David F. Anderson, Desmond J. Higham, Saul C. Leite, Ruth J. Williams
On Constrained Langevin Equations and (Bio)Chemical Reaction Networks. Multiscale Model. Simul. 17 (1) (2019)
Catherine F. Higham, Desmond J. Higham
Deep Learning: An Introduction for Applied Mathematicians. SIAM Rev. 61 (4) (2019)
David F. Anderson, Desmond J. Higham, Yu Sun
Computational Complexity Analysis for Monte Carlo Approximations of Classically Scaled Population Processes. Multiscale Model. Simul. 16 (3) (2018)
Desmond J. Higham
Centrality-Friendship Paradoxes: When Our Friends Are More Important Than Us. CoRR (2018)
Francesca Arrigo, Peter Grindrod, Desmond J. Higham, Vanni Noferini
Non-backtracking walk centrality for directed networks. J. Complex Networks 6 (1) (2018)
Francesco Tudisco, Desmond J. Higham
A Nonlinear Spectral Method for Core-Periphery Detection in Networks. CoRR (2018)
Catherine F. Higham, Desmond J. Higham
Deep Learning: An Introduction for Applied Mathematicians. CoRR (2018)
Peter Grindrod, Desmond J. Higham, Vanni Noferini
The Deformed Graph Laplacian and Its Applications to Network Centrality Analysis. SIAM J. Matrix Anal. Appl. 39 (1) (2018)
Martin Paton, Kerem Akartunali, Desmond J. Higham
Centrality Analysis for Modified Lattices. SIAM J. Matrix Anal. Appl. 38 (3) (2017)
Caterina Fenu, Desmond J. Higham
Block Matrix Formulations for Evolving Networks. SIAM J. Matrix Anal. Appl. 38 (2) (2017)
Francesca Arrigo, Desmond J. Higham
Sparse matrix computations for dynamic network centrality. Appl. Netw. Sci. 2 (2017)
Desmond J. Higham
Survey and Review. SIAM Rev. 58 (1) (2016)
Desmond J. Higham
Survey and Review. SIAM Rev. 58 (3) (2016)
Desmond J. Higham
Survey and Review. SIAM Rev. 58 (4) (2016)
Francesca Arrigo, Desmond J. Higham
Preserving Sparsity in Dynamic Network Computations. COMPLEX NETWORKS (2016)
Mary Aprahamian, Desmond J. Higham, Nicholas J. Higham
Matching exponential-based and resolvent-based centrality measures. J. Complex Networks 4 (2) (2016)
Michele Benzi, Desmond J. Higham
Commentary on Dehmer and Mowshowitz. Complex. 21 (S1) (2016)
David F. Anderson, Desmond J. Higham, Yu Sun
Multilevel Monte Carlo for Stochastic Differential Equations with Small Noise. SIAM J. Numer. Anal. 54 (2) (2016)
Desmond J. Higham
Survey and Review. SIAM Rev. 58 (2) (2016)
Desmond J. Higham
Survey and Review. SIAM Rev. 57 (1) (2015)
Desmond J. Higham
An Introduction to Multilevel Monte Carlo for Option Valuation. CoRR (2015)
Desmond J. Higham
Survey and Review. SIAM Rev. 57 (3) (2015)
Desmond J. Higham
Survey and Review. SIAM Rev. 57 (2) (2015)
Desmond J. Higham
Survey and Review. SIAM Rev. 57 (4) (2015)
Caterina Fenu, Desmond J. Higham
Block Matrix Formulations for Evolving Networks. CoRR (2015)
Desmond J. Higham
An introduction to multilevel Monte Carlo for option valuation. Int. J. Comput. Math. 92 (12) (2015)
Desmond J. Higham, Peter Grindrod, Alexander V. Mantzaris, Amanda Otley, Peter Laflin
Anticipating Activity in Social Media Spikes. CoRR (2014)
David F. Anderson, Desmond J. Higham, Yu Sun
Complexity of Multilevel Monte Carlo Tau-Leaping. SIAM J. Numer. Anal. 52 (6) (2014)
Desmond J. Higham
Survey and Review. SIAM Rev. 56 (4) (2014)
Desmond J. Higham
Survey and Review. SIAM Rev. 56 (3) (2014)
Peter Grindrod, Desmond J. Higham, Robert S. MacKay
Opportunities at the Mathematics/Future Cities Interface. CoRR (2014)
Desmond J. Higham
Survey and Review. SIAM Rev. 56 (2) (2014)
Desmond J. Higham
Survey and Review. SIAM Rev. 56 (1) (2014)
Peter Grindrod, Desmond J. Higham
Dynamical Systems to Monitor Complex Networks in Continuous Time. CoRR (2013)
Peter Laflin, Alexander V. Mantzaris, Fiona Ainley, Amanda Otley, Peter Grindrod, Desmond J. Higham
Discovering and validating influence in a dynamic online social network. Soc. Netw. Anal. Min. 3 (4) (2013)
Desmond J. Higham
Survey and Review. SIAM Rev. 55 (4) (2013)
Peter Grindrod, Desmond J. Higham
A Matrix Iteration for Dynamic Network Summaries. SIAM Rev. 55 (1) (2013)
Desmond J. Higham
Survey and Review. SIAM Rev. 55 (1) (2013)
Alexander V. Mantzaris, Danielle S. Bassett, Nicholas F. Wymbs, Ernesto Estrada, Mason A. Porter, Peter J. Mucha, Scott T. Grafton, Desmond J. Higham
Dynamic network centrality summarizes learning in the human brain. J. Complex Networks 1 (1) (2013)
Desmond J. Higham
Survey and Review. SIAM Rev. 55 (2) (2013)
Desmond J. Higham
Survey and Review. SIAM Rev. 55 (3) (2013)
Desmond J. Higham, Xuerong Mao, Mikolaj Roj, Qingshuo Song, George Yin
Mean Exit Times and the Multilevel Monte Carlo Method. SIAM/ASA J. Uncertain. Quantification 1 (1) (2013)
Desmond J. Higham, Mikolaj Roj
Computing mean first exit times for stochastic processes using multi-level Monte Carlo. WSC (2012)
David F. Anderson, Desmond J. Higham
Multilevel Monte Carlo for Continuous Time Markov Chains, with Applications in Biochemical Kinetics. Multiscale Model. Simul. 10 (1) (2012)
Peter Laflin, Alexander V. Mantzaris, Fiona Ainley, Amanda Otley, Peter Grindrod, Desmond J. Higham
Dynamic Targeting in an Online Social Medium. SocInfo (2012)
Desmond J. Higham
Survey and Review. SIAM Rev. 54 (4) (2012)
Desmond J. Higham
Survey and Review. SIAM Rev. 54 (3) (2012)
Desmond J. Higham
Survey and Review. SIAM Rev. 54 (1) (2012)
Desmond J. Higham
Survey and Review. SIAM Rev. 54 (2) (2012)
Peter Laflin, Fiona Ainley, Amanda Otley, Alexander V. Mantzaris, Desmond J. Higham
Demonstration of Dynamic Targeting in an Online Social Medium. SocInfo (2012)
Peter Grindrod, Desmond J. Higham, Mark C. Parsons
Bistability through Triadic Closure. Internet Math. 8 (4) (2012)
Xiaolin Xiao, Neil Dawson, Lynsey MacIntyre, Brian J. Morris, Judith A. Pratt, David G. Watson, Desmond J. Higham
Exploring metabolic pathway disruption in the subchronic phencyclidine model of schizophrenia with the Generalized Singular Value Decomposition. BMC Syst. Biol. 5 (2011)
Jonathan J. Crofts, Desmond J. Higham
Googling the Brain: Discovering Hierarchical and Asymmetric Network Structures, with Applications in Neuroscience. Internet Math. 7 (4) (2011)
Jonathan J. Crofts, Desmond J. Higham, Rose Bosnell, Saâd Jbabdi, Paul M. Matthews, T. E. J. Behrens, Heidi Johansen-Berg
Network analysis detects changes in the contralesional hemisphere following stroke. NeuroImage 54 (1) (2011)
Ernesto Estrada, Desmond J. Higham
Network Properties Revealed through Matrix Functions. SIAM Rev. 52 (4) (2010)
Michael B. Giles, Desmond J. Higham, Xuerong Mao
Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff. Finance Stochastics 13 (3) (2009)
Lukasz Szpruch, Desmond J. Higham
Comparing Hitting Time Behavior of Markov Jump Processes and Their Diffusion Approximations. Multiscale Model. Simul. 8 (2) (2009)
Alan Taylor, Desmond J. Higham
CONTEST: A Controllable Test Matrix Toolbox for MATLAB. ACM Trans. Math. Softw. 35 (4) (2009)
Oleksii Kuchaiev, Marija Rasajski, Desmond J. Higham, Natasa Przulj
Geometric De-noising of Protein-Protein Interaction Networks. PLoS Comput. Biol. 5 (8) (2009)
Somkid Intep, Desmond J. Higham, Xuerong Mao
Switching and Diffusion Models for Gene Regulation Networks. Multiscale Model. Simul. 8 (1) (2009)
Desmond J. Higham, Marija Rasajski, Natasa Przulj
Fitting a geometric graph to a protein-protein interaction network. Bioinform. 24 (8) (2008)
Desmond J. Higham
Modeling and Simulating Chemical Reactions. SIAM Rev. 50 (2) (2008)
Gabriela Kalna, J. Keith Vass, Desmond J. Higham
Multidimensional partitioning and bi-partitioning: analysis and application to gene expression data sets. Int. J. Comput. Math. 85 (3&4) (2008)
Raya Khanin, Desmond J. Higham
Chemical Master Equation and Langevin regimes for a gene transcription model. Theor. Comput. Sci. 408 (1) (2008)
Graeme D. Chalmers, Desmond J. Higham
Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation. SIAM J. Sci. Comput. 31 (2) (2008)
Desmond J. Higham, Xuerong Mao, Chenggui Yuan
Preserving exponential mean-square stability in the simulation of hybrid stochastic differential equations. Numerische Mathematik 108 (2) (2007)

Desmond J. Higham.css-eqlu8i{font-size:small;padding-left:4px;}

Publication Activity (10 Years)

Top Topics

Top Venues

Desmond J. Higham