Department of Foundational Mathematics

Research output

Research output per year 2010 2020 2021 2022 2023 2024 2024

• 114 Article
• 42 Conference Proceeding
• 13 Other contribution
• 5 Book
• 11 More
  • 4 Patent
  • 2 Chapter
  • 2 Paper
  • 2 Conference article
  • 1 Exhibition/ Event/ Festival

Research output per year

Research output per year

Search results

• 2024

  An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery

  Wu, S., Bai, J., He, X., Zhao, R. & Cao, Y., 1 Feb 2024, In: Journal of Computational Physics. 498, 112703.

  Research output: Contribution to journal › Article › peer-review

  • Polynomial 100%
  • Preserving 100%
  • Galerkin Method 100%
  • Mesh 100%
  • Particle 100%

• Associations of Triglycerides and Atherogenic Index of Plasma with Brain Structure in the Middle-Aged and Elderly Adults

  Chen, X., Bao, Y., Zhao, J., Wang, Z., Gao, Q., Ma, M., Xie, Z., He, M., Deng, X. & Ran, J., Mar 2024, In: Nutrients. 16, 5, 672.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Triglyceride 100%
  • Triacylglycerol 100%
  • High Density Lipoprotein Cholesterol 15%
  • Gray Matter 15%
  • HDL-Cholesterol 15%
  1 Citation (Scopus)

• Bifucations and Hydra effects in Rosenzweig-MacArthur model

  Lin, X., Yang, Y., Xu, Y. & He, M., 2024, In: Journal of Applied Analysis and Computation. 14, 2, p. 606-622 17 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Rosenzweig 100%
  • Predator Mortality 50%
  • Predator Population 50%
  • Limit Cycle 50%

• Continuous Image Outpainting with Neural ODE

  Gao, P., Yang, X., Zhang, R. & Huang, K., 25 Apr 2024, In: ACM Transactions on Multimedia Computing, Communications and Applications. 20, 7, 203.

  Research output: Contribution to journal › Article › peer-review

  • Experimental Result 100%
  • Accurate Prediction 100%
  • Active Research 100%
  • Computervision 100%
  • Deep Learning 100%

• Distributed identification based partially-coupled recursive generalized extended least squares algorithm for multivariate input–output-error systems with colored noises from observation data

  Liu, Q., Chen, F., Guo, Q. & Wang, X., 15 Oct 2024, In: Journal of Computational and Applied Mathematics. 449, 115976.

  Research output: Contribution to journal › Article › peer-review

  • Colored Noise 100%
  • Recursive 100%
  • Parameter Estimation 100%
  • Least Square 100%
  • Observation Data 100%
  3 Citations (Scopus)

• EgPDE-Net: Building Continuous Neural Networks for Time Series Prediction With Exogenous Variables

  Gao, P., Yang, X., Zhang, R., Guo, P., Goulermas, J. Y. & Huang, K., 28 Feb 2024, In: IEEE Transactions on Cybernetics. p. 1-13 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Exogenous Variable 100%
  • Numerical Solution 25%
  • Equation System 25%
  • Governing Equation 25%
  • Continuous Method 25%

• Equivariant cohomology and deformation for algebras - an operadic approach

  Yu, X., May 2024, In: Journal of Geometry and Physics. 199, 105147.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Associative Algebra 100%

• ES-GNN: Generalizing Graph Neural Networks Beyond Homophily with Edge Splitting

  Guo, J., Huang, K., Zhang, R. & Yi, X., Sept 2024, (Accepted/In press) In: IEEE Transactions on Pattern Analysis and Machine Intelligence.

  Research output: Contribution to journal › Article › peer-review

• Group encryption: Full dynamicity, message filtering and code-based instantiation

  Nguyen, K., Safavi-Naini, R., Susilo, W., Wang, H., Xu, Y. & Zeng, N., 29 Jul 2024, In: Theoretical Computer Science. 1007, 114678.

  Research output: Contribution to journal › Article › peer-review

  • Instantiation 100%
  • Hamming Distance 25%
  • Encrypted Message 25%

• Instance-Specific Model Perturbation Improves Generalized Zero-Shot Learning

  Yang, G., Huang, K., Zhang, R. & Yang, X., 23 Apr 2024, In: Neural Computation. 36, 5, p. 936-962 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Training Data 100%
  • Perturbation Model 100%
  • Learning Model 100%

• Log-concavity and log-convexity of series containing multiple Pochhammer symbols

  Karp, D. & Zhang, Y., Feb 2024, In: Fractional Calculus and Applied Analysis. 27, 1, p. 458-486 29 p.

  Research output: Contribution to journal › Article › peer-review

  • Concavity 100%
  • Pochhammer Symbol 100%
  • Generalized Hypergeometric Function 25%
  • Special Function 25%
  • Wright Function 25%

• Optimal stopping methodology for the secretary problem with random queries

  Moustakides, G. V., Liu, X. & Milenkovic, O., Jun 2024, In: Journal of Applied Probability. 61, 2, p. 578-602 25 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Correct Decision 100%
  • Combinatorial Approach 100%

• Positive Einstein metrics with S^4m+3 as the principal orbit

  Chi, H., 8 Apr 2024, In: Compositio Mathematica. 160, 5, p. 1004-1040 37 p.

  Research output: Contribution to journal › Article › peer-review

  • Principal Orbit 100%

• Reliability test for degradation data based on ranked set sampling

  Zhang, W., Zhu, X., He, M. & Balakrishnan, N., 3 Sept 2024, In: Quality and Reliability Engineering International.

  Research output: Contribution to journal › Article › peer-review
• 2023

  Cohomology and deformation theory for operad with higher derivation

  Yu, X., Dec 2023, In: Journal of Pure and Applied Algebra. 227, 12, 107440.

  Research output: Contribution to journal › Article › peer-review

  • Cohomologies 100%
  • Indirect Approach 33%
  1 Citation (Scopus)

• Comparison of the prevalence of opioid use among U.S. adults with cardiac conditions before and during the COVID-19 pandemic

  Weng, L., Huang, J., Lou, Y., shi, H., Ma, Y., Gu, S., Qiang, N., Wang, S., Wu, L., He, M., Xu, L. & Han, L., 17 Feb 2023, In: Frontiers in Public Health. 11

  Research output: Contribution to journal › Article › peer-review

  Open Access

• Convergent expansions and bounds for the incomplete elliptic integral of the second kind near the logarithmic singularity

  Karp, D. & Zhang, Y., 1 Nov 2023, In: Mathematics of Computation. 92, 344, p. 2769-2794 26 p.

  Research output: Contribution to journal › Article › peer-review

• Decomposable (5, 6)-solutions in eleven-dimensional supergravity

  Chi, H., Schneider, E. & Chrysikos, I., 8 Jun 2023, In: Journal of Mathematical Physics. 64, 6

  Research output: Contribution to journal › Article › peer-review

• Enlightening Visualizations of Partially Filled Dielectric Capacitors

  Xuan, C., 1 Sept 2023, In: Physics Teacher. 61, 6, p. 503-505 3 p.

  Research output: Contribution to journal › Article › peer-review

• Envelope-based sparse reduced-rank regression for multivariate linear model

  Guo, W., Balakrishnan, N. & He, M., 10 Jan 2023, In: Journal of Multivariate Analysis. 195, 105159

  Research output: Contribution to journal › Article › peer-review

  • Multivariate Linear Model 100%
  • Multivariate Regression 100%
  • Regression Estimator 50%
  1 Citation (Scopus)

• Every subcubic multigraph is (1,2⁷)-packing edge-colorable

  Liu, X., Santana, M. & Short, T., Dec 2023, In: Journal of Graph Theory. 104, 4, p. 851-885 35 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Edge 100%
  • Multigraph 100%
  • Vertex 9%
  • Positive Integer 9%
  • Nondecreasing Sequence 9%

• Explainable Tensorized Neural Ordinary Differential Equations for Arbitrary-Step Time Series Prediction

  Gao, P., Yang, X., Zhang, R., Huang, K. & Goulermas, J. Y., 1 Jun 2023, In: IEEE Transactions on Knowledge and Data Engineering. 35, 6, p. 5837-5850 14 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Series Prediction 100%
  • Attention 100%
  • Standards 66%
  • Interpretability 66%
  • Multivariate Time Series 66%
  5 Citations (Scopus)

• Generalized Birnbaum–Saunders mixture cure frailty model: inferential method and an application to bone marrow transplant data

  Liu, K., Balakrishnan, N. & He, M., 2023, In: Communications in Statistics: Simulation and Computation. 52, 11, p. 5655-5679 25 p.

  Research output: Contribution to journal › Article › peer-review

  • Inference 100%
  • Models 100%
  • Application 100%
  • Monte Carlo Simulation 100%
  • Duration Analysis 100%

• Generalized image outpainting with U-transformer

  Gao, P., Yang, X., Zhang, R., Goulermas, J. Y., Geng, Y., Yan, Y. & Huang, K., May 2023, In: Neural Networks. 162, p. 1-10 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Design 100%
  • Testing 100%
  • Contexts 100%
  • Swin Transformer 100%
  • Range Dependency 100%
  8 Citations (Scopus)

• Homotopical Algebra from Cotorsion Pairs in Extriangulated Categories

  Yu, X., Oct 2023, In: Algebras and Representation Theory. 26, 5, p. 1773–1798 26 p.

  Research output: Contribution to journal › Article › peer-review

  • Approximation Theory 100%

• Imaginary Coating Algorithm Approaching Dense Accumulation of Granular Material in Simulations with Discrete Element Method

  Wang, F., Huang, J. & Xuan, C., 2023, In: Powders. 2, p. 205-215

  Research output: Contribution to journal › Article › peer-review

• Inference for stress–strength reliability of multi-state system with dependent stresses and strengths using improved generalized survival signature

  Bai, X., Zhang, J., He, M. & Balakrishnan, N., 1 Mar 2023, In: Journal of Computational and Applied Mathematics. 420, 114809.

  Research output: Contribution to journal › Article › peer-review

  • Internal Variable 100%
  • Make Inference 100%
  • Internal Structure 100%
  5 Citations (Scopus)

• Likelihood inference for Birnbaum–Saunders frailty model with an application to bone marrow transplant data

  Liu, K., Balakrishnan, N., He, M. & Xie, L., 2023, (Accepted/In press) In: Journal of Statistical Computation and Simulation. 93, 13, p. 2158-2175 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Inference 100%
  • Models 100%
  • Application 100%
  • Frailty 100%
  • Real Data 50%
  1 Citation (Scopus)

• Long Edges in Galton-Watson trees

  Bocharov, S. & Harris, S. C., 7 Sept 2023, (Submitted) In: Journal of Applied Probability.

  Research output: Contribution to journal › Article › peer-review

• Modelling the Dynamics in a Predator–Prey System with Allee Effects and Anti-predator Behavior

  Wen, T., Xu, Y., He, M. & Rong, L., Sept 2023, In: Qualitative Theory of Dynamical Systems.

  Research output: Contribution to journal › Article › peer-review

  4 Citations (Scopus)

• Model transformation based distributed stochastic gradient algorithm for multivariate output-error systems

  Liu, Q. & Chen, F., 21 Feb 2023, In: International Journal of Systems Science. 54, 7, p. 1484-1508 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Algorithm 100%
  • Transformation Model 100%
  • Algorithms 100%
  • Models 100%
  • Model Transformation 100%
  32 Citations (Scopus)

• On Closed Six-Manifolds Admitting Metrics with Positive Sectional Curvature and Non-Abelian Symmetry

  Liu, Y., 2023, (Accepted/In press) In: Acta Mathematica Sinica, English Series.

  Research output: Contribution to journal › Article › peer-review

  File
  56 Downloads (Pure)

• Predicting long pendant edges in model phylogenies, with applications to biodiversity and tree inference

  Bocharov, S., Steel, M., Harris, S., Kominek, E. & Mooers, A., 2023, In: Systematic Biology.

  Research output: Contribution to journal › Article › peer-review

• Quantum Bianchi-VII problem, Mathieu functions and arithmetic

  Veselov, A. P. & Ye, Y., Jul 2023, In: Journal of Geometry and Physics. 189, 104830.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Mathieu Function 100%
  • Number Theory 50%
  • Quadratic Form 50%
  • Laplace-Beltrami Operator 50%

• Query-Based Selection of Optimal Candidates under the Mallows Model

  Liu, X., Milenkovic, O. & Moustakides, G. V., 10 Nov 2023, In: Theoretical Computer Science. 979, 114206.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Expected Number 100%
  • Recurrence Relation 49%

• Robust generative adversarial network

  Zhang, S., Qian, Z., Huang, K., Zhang, R., Xiao, J., He, Y. & Lu, C., Dec 2023, In: Machine Learning. 112, 12, p. 5135-5161 27 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Robustness 100%
  • Generative Adversarial Networks 100%
  • Gaussian Distribution 50%
  • Robust Statistics 50%
  • Discriminator 33%
  4 Citations (Scopus)

• Support theory of abelian categories - some discussion

  Yu, X., Nov 2023, In: Kyoto Journal of Mathematics. 63, 4, p. 807–827

  Research output: Contribution to journal › Article › peer-review

• Topological Analysis of Vector-Feild Guided Path Following on Manifolds

  Yao, W., Lin, B., Cao, M. & D. O. Anderson, B., 15 Mar 2023, In: IEEE Transactions on Automatic Control. 68, 3, p. 1353 1368 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  4 Citations (Scopus)
• 2022

  A comprehensive survey of zero-shot image classification: methods, implementation, and fair evaluation

  Zhang, R., Yang, G., Ye, Z. & Huang, K., 31 Mar 2022, In: Applied Computing and Intelligence. 2, 1

  Research output: Contribution to journal › Article › peer-review

• Characterizing superspreading potential of infectious disease: Decomposition of individual transmissibility

  Zhao, S., Chong, M. K. C., Ryu, S., Guo, Z., He, M., Chen, B., Musa, S. S., Wang, J., Wu, Y., He, D. & Wang, M. H., Jun 2022, In: PLoS Computational Biology. 18, 6, e1010281.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Infection 100%
  • Horizontal Disease Transmission 100%
  • Decomposition 100%
  • Binomial Distribution 100%
  • COVID-19 66%
  6 Citations (Scopus)

• Computing differential Galois groups of second-order linear q-difference equations

  Arreche, C. E. & Zhang, Y., Jan 2022, In: Advances in Applied Mathematics. 132, 102273.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  3 Citations (Scopus)

• Current-driven dynamics of skyrmions in the presence of pinning at finite temperatures

  Jiang, Y., Xuan, C. & Yu, H., 15 Nov 2022, In: Journal of Magnetism and Magnetic Materials. 562, 169786.

  Research output: Contribution to journal › Article › peer-review

  • Temperature 100%
  • Memory 40%
  • Variations 20%
  • Symmetry 20%
  • Information 20%
  3 Citations (Scopus)

• Finding the second-best candidate under the Mallows model

  Liu, X. & Milenkovic, O., 11 Sept 2022, In: Theoretical Computer Science. 929, p. 39-68 30 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Models 100%
  • Probability 100%
  • Optimal Strategy 100%
  • Functions 50%
  • Modeling 50%
  4 Citations (Scopus)

• Fluctuations of the Rightmost Particle in the Catalytic Branching Brownian Motion

  Bocharov, S. S., Mar 2022, In: Proceedings of the Steklov Institute of Mathematics. 316, 1, p. 72-96 25 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Brownian Motion 100%
  • Particle 100%
  • Fluctuation 100%
  • Model 50%
  • Magnitude 50%
  1 Citation (Scopus)

• Guiding Vector Fields for Following Occluded Path

  Yao, W., Lin, B., Cao, M. & D. O. Anderson, B., 29 Jul 2022, In: IEEE Transactions on Automatic Control. 67, 8

  Research output: Contribution to journal › Article › peer-review

  Open Access
  8 Citations (Scopus)

• Heterogeneous epidemic modelling within an enclosed space and corresponding Bayesian estimation

  Wen, C., Wei, J., Ma, Z. F., He, M., Zhao, S., Ji, J. & He, D., Jun 2022, In: Infectious Disease Modelling. 7, 2, p. 1-24 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Modeling 100%
  • Incubation Period 100%
  • Bayesian Estimation 100%
  • COVID-19 100%
  • Models 100%
  2 Citations (Scopus)

• Length of Closed Geodesics in Conformally Flat Tori

  Liu, Y., 17 Jun 2022, In: Balkan Journal of Geometry and Its Applications. 27, 2

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
  36 Downloads (Pure)

• Loops of Infinite Order and Toric Foliations

  Efstathiou, K., Lin, B. & Waalkens, H., May 2022, In: Regular and Chaotic Dynamics. 27

  Research output: Contribution to journal › Article › peer-review

• Monochromatic connected matchings in 2-edge-colored multipartite graphs

  Balogh, J., Kostochka, A., Lavrov, M. & Liu, X., Jul 2022, In: Journal of Graph Theory. 100, 3, p. 578-607 30 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  2 Citations (Scopus)

• Multi-innovation gradient parameter estimation for multivariable systems based on the maximum likelihood principle

  Xia, H., Xu, S., Zhou, C. & Chen, F., 1 Jan 2022, In: Optimal Control Applications and Methods. 43, 1, p. 106-122 17 p.

  Research output: Contribution to journal › Article › peer-review
  6 Citations (Scopus)