Research Interests

• Nonparametric Statistics
   
• Machine Learning
   
• Difference Equations and Discrete Dynamics.
   
• Biostatistics and Biomathematics.
   
• Neuroscience
   
• Harmonic and Functional Analysis and their Applications to Statistics. 

Manuscripts

2025

1. Nonlinear plasticity models increase noise robustness and pattern retrieval capacity.
   Submitted.
    
2. Global Asymptotic Stability and Bifurcation of the Evolutionary Beverton-Holt Model. Jointly with Emma d'Anniello, Saber Elaydi, Rafael Luis, and Bryan Ryals
   submitted.
    
3. Wolbachia spread dynamics in mosquito population under stochastic environment.
   Preprint.
    

2024

1. Information Theory in a Darwinian Evolution Population Dynamics Model.
   Symmetry 2024, 16(11), 1522. pdf
    
2. Testing independence based on Spearman's footrule in high dimensions. Jointly With X. Shi, W. Zhang and J. Du
   Communication in Statistics-Theory and Methods, 2024, https://doi.org/10.1080/03610926.2024.2369313. pdf
    
3. On Using Relative Information to Estimate Traits in a Darwinian Evolution Population Dynamics.
   Axioms 2024, 113(6), 406. pdf
    

2023

1. Nonstandard Nearly Exact Analysis of FitzHugh-Nagumo model. Jointly with Shahid and M. Abbas
   Symmetry 2023, 16(5), 585. pdf
    
2. Topological comparison of dimension reduction methods using persistent homology on EEG data,
   Axioms 2023, 12(7), 699, 2023. pdf. ArXiv
    
3. Hierarchical Model with Allee Effect, Immigration, and Holling Type II Functional Response,
   Springer Proceedings in Mathematics & Statistics series, 2025. Preprint. ArXiv
    

 

2022

1. Strong Allee effect synaptic plasticity rule in an unsupervised learning environment,
   Neural Computations, 35, 1-34, 2023, MIT Journal. pdf. ArXiv
    
2. Analytic Characterization of High dimension Special Atom Spaces, jointly with G. De Souza submitted. Preprint. ArXiv
    
3. Semi-Parametric Rank Estimation of Partially Linear Models with Wavelets. 2022. Preprint.
    

2021

1. Discrete dynamics of dynamic neural fields,
   Frontiers in Computational Neuroscience. 15:699658. doi: 10.3389/fncom.2021.699658 pdf
    
2. A Nearly Exact Discretization Scheme for the FitzHugh-Nagumo Model, Jointly with Lloyd Edwards.
   Differential Equations and Dynamical Systems. https://doi.org/10.1007/s12591-021-00569-5 pdf
    
3. On the equivalence between weak BMO spaces and the space of derivatives of the Zygmund class.
   Demonstratio Mathematica, 54(1),1-11. DOI: https://doi.org/10.1515/dema-2021-0013, pdf
    
4. Analysis of EEG time series data using complex geometric structurization, Jointly with Lloyd Edwards.
   Neural Computations, 2021, 33 (7),1942--1969. pdf
    
5. A consistent estimator of nontrivial stationary solutions of dynamical neural fields
   Stats, 2021, 4(1), 122-137; https://doi.org/10.3390/stats4010010. pdf
    

2020

1. Double Penalized Semi-Parametric Signed-Rank Regression with Adaptive LASSO
   Journal of Systems Science and Complexity, 33; 1-21, 2020. pdf
    
2. The special atom space and Haar wavelets in higher dimensions jointly with Geraldo de Souza, Ngalla Djitte, Mariama Ndiaye
   Demonstratio Mathematica, 53; 131-151, (2020). DOI: 10.1515/dema-2020-0011. pdf
    
3. Artificial neural networks with a signed-rank objective function and applications, jointly with Lloyd Edwards
   Communication in Statistics--Simulation and Computation (2020). DOI: 10.1080/03610918.2020.1714659. pdf
    
4. Some Useful Inequalities and the Second Derivative Test, jointly with Geraldo de Souza, Seth Kermausuor
   Revista electronica da sociedade Brasileira de Matematica, V.8, N0. 3, 2020. pdf
    

2019

1. Note on a Generalization of the space of derivatives of Lipschitz functions , jointly with G. de Souza and S. Kermausuor
   Journal of the Nigerian Mathematical Society, Vol. 38, 468-489. pdf
    
2. Revisiting Norms and duality in Rn , jointly with Marcelo F. De Almeida and Geraldo de Souza
   JBMS, to appear.
    

2018

1. Estimation for generalized partially functional linear additive regression model , jointly with J. Du, R. Cao, Z. Zhang
   Journal of Applied Statistics (2018), DOI: 10.1080/02664763.2018.1523378. pdf
    
2. A Bayesian approach to Generalized Signed-Rank Estimation for Nonlinear Models with Multidimensional Indices , jointly with B. Nguelifack, G. Miankonkana
   Journal of Mathematics and Statistical Science, Vol.4, Issue 8, (2018). pdf
    
3. Nearly Exact Discretization of Single Species Populations Models , jointly with S. Elady, B. Dennis, G. Livadiotis
   Natural Resource Modeling (2018), DOI:10.1111/nrm.12167. pdf
    
4. Hierarchical Competition Models with Allee Effect III: Multispecies , jointly with S. Elaydi and G. Livadiotis
   Journal of Biological Dynamics (2018) , DOI: 10.1080/17513758.2018.1439537. pdf
    

2017

1. Model averaging based on rank , jointly with J. Du, X. Chen, Z. Sun
   Journal of Applied Statistics (2017), DOI: 10.1080/02664763.2017.1401051. pdf
    

2016

1. Increased Risk of Autism Development in Children who Mothers Experienced Birth Complications or Received Labor and Delivery Drugs, jointly with M. Smallwood, A. Sareen, E. Baker, R. Hannusch, and T. Williams
   Journal of American Society of Neurochemistry (ASN Neuro), ASN Neuro (2016), 1-7, DOI: 10.1177/1759091416659742. pdf
    
2. Signed-Rank Analysis of a Partial Linear Model with B-splines Estimated Monotone Nonparametric Function , jointly with B. Nguelifack
   Communication in Statistics-Theory and Method (2016), DOI: 10.1080/03610926.2015.1089289, pdf
    
3. On stochastic modified Beverton-Holt model with Allee effects II: the Cushing-Henson conjecture , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis
   Journal of Difference Equations and Applications (2016), DOI:10.1080/10236198.2015.1075521. pdf
    

2015

1. Allee effects and resilience in stochastic populations, jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis
   Journal of Theoretical Ecology (2015), DOI:10.1007/s12080-015-0288-2. pdf
    
2. Kappa function as a unifying framework for discrete population modeling , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis
   Natural Resource Modeling (2015), DOI:10.1111/nrm.12084. pdf
    
3. A Stochastic modified Beverton-Holt model with Allee effects , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis
   Journal of Difference Equations and Applications (2015), DOI: 10.1080/10236198.2015.1074194, pdf.
    
4. Hierarchical Competition Models with Allee Effect , jointly with G. Livadiotis, L. Assas, S. Elaydi, D. Ribble
   Journal of Biological Dynamics (2014), DOI:10.1080/17513758.2014.923118 pdf.
    
5. Hierarchical Competition models with the Allee effect II: the case of immigration , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis
   Journal of Biological Dynamics (2015), 9:1, 288-316, DOI: 10.1080/17513758.2015.1077999, pdf.
    
6. Generalized Signed-rank Estimation for Nonlinear Models with Multidimensional Indices , jointly with B. Nguelifack and A. Abebe
   Journal of Nonparametric Statistics (2015), DOI:10.1080/10485252.2015.1029474, pdf.
    
7. A discrete time Host-Parasitoid Discrete Model with an Allee effect , jointly with L. Assas, B. Dennis, S. Elaydi, G. Livadiotis
   Journal of Biological Dynamics (2015), 9:1, 34-51, DOI: 10.1080/17513758.2014.982219. pdf.
    

2014

1. Efficient Rank Regression with Wavelets Estimated Scores , jointly with A. Abebe, G. De Souza
   Communications and Statistics-Theory and Methods (2014), 43 (18), 3986-3996. pdf.
    
2. Atomic Decomposition of Weighted Lorentz Spaces and Operators , jointly with G. De Souza, F. Ngwane, A. Abebe
   Journal of Function Spaces (2014), DOI:10.1155/2014/626314. pdf.
    
3. Competition Models with Allee Effect , jointly with G. Livadiotis, L. Assas, S. Elaydi, D. Ribble
   Journal of Difference Equations and Applications (2014), 20 (8), 1127-1151. pdf.
    

2013

1. Characterization Lacunary functions in Weighted Bergman-Besov-Lipschitz Spaces , jointly with G. De Souza and A. Abebe and R. Aulaskari
   Complex Variables and Elliptic Equations (2013), 58, 157-162. pdf.
    

2012

1. A Note on Multiplication and Composition Operators in Lorentz Spaces L(p,q) , jointly with P. Alfonso, G. De Souza and A. Abebe
   Journal of Functions Spaces and Applications (2012), DOI:10.1155/2012/293613. pdf.
    
2. Seasonal variation in diagnostic tests for pituitary pars intermedia dysfunction in normal aged geldings , jointly with C. Schreiber C.M., Stewart A. J.,
   Behrend E.N., Wright J., Kemppainen R. and Busch K.A.
   Journal of the American Veterinary Medical Association (2012), 241(2):241-248. pdf.
    

2011

1. Seasonal changes in plasma alpha-melanocyte-stimulating hormone and adrenocorticotropic hormone in response to thyrotropin-releasing hormone administration in normal aged horses ,
   jointly with R. A. Funk, A. J. Stewart, A. A. Wooldridge, R. J. Kemppainen, E. N. Behrend, Q. Zhong and A. K. Johnson
   J. Vet. Intern. Med. (2011), 25: 579-585. pdf