output
20142025
most citedCascaded V-Net using ROI masks for brain tumor segmentation

114 citations

26 papers

stat.AP2025★ 13 cited

Validation of satellite and reanalysis rainfall products against rain gauge observations in Ghana and Zambia

John Bagiliko, David Stern, Denis Ndanguza +1

Accurate rainfall data are crucial for effective climate services, especially in Sub-Saharan Africa, where agriculture depends heavily on rain-fed systems. The sparse distribution…

math-ph2024

Hilbert space representation for quasi-Hermitian position-deformed Heisenberg algebra and Path integral formulation

Thomas Katsekpor, Latévi M. Lawson, Prince K. Osei +1

Position deformation of a Heisenberg algebra and Hilbert space representation of both maximal length and minimal momentum uncertainties may lead to loss of Hermiticity of some oper…

math.PR2023★ 3 cited

Density Analysis for coupled forward-backward SDEs with non-Lipschitz drifts and Applications

Rhoss Likibi Pellat, Olivier Menoukeu Pamen

We explore the existence of a continuous marginal law with respect to the Lebesgue measure for each component of the solution to coupled quadratic forward-backward stocha…

math.PR2022★ 1 cited

Smoothness of solutions of hyperbolic stochastic partial differential equations with -vector fields

Antoine-Marie Bogso, Moustapha Dieye, Olivier Menoukeu Pamen +1

In this paper we are interested in a quasi-linear hyperbolic stochastic differential equation (HSPDE) when the vector field is merely bounded and measurable. Although the determini…

q-bio.PE2022★ 9 cited

Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in Ghana

Samuel Okyere, Joseph Ackora-Prah, Kwaku Forkuoh Darkwah +2

Research focus on optimal control problems brought on by fractional differential equations has been extensively applied in practice. However, because they are still open-ended and…

math.PR2021★ 2 cited

Stochastic integration with respect to local time of the Brownian sheet and regularising properties of Brownian sheet paths

Antoine-Marie Bogso, Moustapha Dieye, Olivier Menoukeu Pamen

In this work, we generalise the stochastic local time space integration introduced in \cite{Ei00} to the case of Brownian sheet. %We develop a stochastic local time-space calculus…

math.PR2021★ 4 cited

Path-by-path uniqueness of multidimensional SDE's on the plane with nondecreasing coefficients

Antoine-Marie Bogso, Moustapha Dieye, Olivier Menoukeu-Pamen

In this paper we study path-by-path uniqueness for multidimensional stochastic differential equations driven by the Brownian sheet. We assume that the drift coefficient is unbounde…

math.RT2021★ 2 cited

Differential operators and reflection group of type

Ibrahim Nonkané, Latévi M. Lawson

In this note, we study the polynomial representation of the quantum Olshanetsky-Perelomov system for a finite reflection group of type . We endow the polynomial ring ${\ma…

physics.optics2021★ 9 cited

Femtosecond laser inscriptions in Kerr nonlinear transparent media: dynamics in the presence of K-photon absorptions, radiative recombinations and electron diffusions

Emmanuel O. Akeweje, G. Bader, Alain M. Dikandé +1

Femtosecond lasers interacting with Kerr nonlinear optical materials, propagate in form of filaments due to the balance of beam diffraction by self-focusing induced by the Kerr non…

hep-th2021★ 7 cited

The damped harmonic oscillator at the classical limit of the Snyder-de Sitter space

Latévi Mohamed Lawson, Ibrahim Nonkané, Komi Sodoga

Valtancoli in his paper entitled [P. Valtancoli, Canonical transformations, and minimal length J. Math. Phys. 56, 122107 (2015)] has shown how the deformation of the canonical tran…

math.GM2021

Simple close curve magnetization and application to Bellman's lost in the forest problem

Theophilus Agama

In this paper, we introduce and develop the notion of simple closed-curve magnetization. We provide an application to the Bellman lost in the forest problem by assuming special geo…

hep-th2020★ 10 cited

Position-dependent mass in strong quantum gravitational background fields

Latévi Mohamed Lawson

More recently, we have proposed a set of noncommutative space that describes the quantum gravity at the Planck scale [J. Phys. A: Math. Theor. 53, 115303 (2020)]. The interesting s…

astro-ph.IM2020★ 2 cited

Launching the VASCO citizen science project

Beatriz Villarroel, Kristiaan Pelckmans, Enrique Solano +25

The Vanishing & Appearing Sources during a Century of Observations (VASCO) project investigates astronomical surveys spanning a time interval of 70 years, searching for unusual and…

math.GM2019

The prime index function

Theophilus Agama

In this paper we introduce the prime index function \begin{align}ι(n)=(-1)^{π(n)},\nonumber \end{align} where is the prime counting function. We study some elementary proper…

cs.CV2018★ 114 cited

Cascaded V-Net using ROI masks for brain tumor segmentation

Adrià Casamitjana, Marcel Catà, Irina Sánchez +2

In this work we approach the brain tumor segmentation problem with a cascade of two CNNs inspired in the V-Net architecture \cite{VNet}, reformulating residual connections and maki…

math.QA2018★ 1 cited

Plane curves which are quantum homogeneous spaces

Ken Brown, Angela Tabiri

Let be a decomposable plane curve over an algebraically closed field of characteristic 0. That is, is defined in by an equation of the form $g…

math.RA2018

Balanced matrices

Theophilus Agama, Gael Kibiti

In this paper, we introduce a particular class of matrices. We study the concept of a matrix to be \emph{balanced}. We study some properties of this concept in the context of matri…

math.NT2018

Improved estimate for the prime counting function

Theophilus Agama

Using some simple combinatorial arguments, we establish some new estimates for the prime counting function and its allied functions. In particular we show that \begin{align}π(x)=Θ(…

math.GM2018

Complete sets

Theophilus Agama

In this paper we introduce the concept of completeness of sets. We study this property on the set of integers. We examine how this property is preserved as we carry out various ope…

math.GM2018

The diagonalization method and Brocard's problem

Theophilus Agama

In this paper, we introduce and develop the method of diagonalization of functions . We apply this method to show that the equations of the…

math.NT2017★ 33 cited

On a problem of Pillai with Fibonacci numbers and powers of 2

Mahadi Ddamulira, Florian Luca, Mihaja Rakotomalala

In this paper, we find all integers c having at least two representations as a difference between a Fibonacci number and a power of 2.

math.NT2017★ 2 cited

Fibonacci Numbers which are Products of two Pell Numbers

Mahadi Ddamulira, Florian Luca, Mihaja Rakotomalala

In this paper, we find all Fibonacci numbers which are products of two Pell numbers and all Pell numbers which are products of two Fibonacci numbers.

math.FA2017★ 6 cited

Difference equations and pseudo-differential operators on

Linda N. A. Botchway, P. Gaël Kibiti, Michael Ruzhansky

In this paper we develop the calculus of pseudo-differential operators on the lattice , which we can call pseudo-difference operators. An interesting feature of this…

gr-qc2016★ 53 cited

Can chaos be observed in quantum gravity?

Bianca Dittrich, Philipp A. Hoehn, Tim A. Koslowski +1

Full general relativity is almost certainly 'chaotic'. We argue that this entails a notion of nonintegrability: a generic general relativistic model, at least when coupled to cosmo…