output
20132025
most citedMachine Learning on the COVID-19 Pandemic, Human Mobility and Air Quality: A Review

95 citations

17 papers

math.GN2025★ 1 cited

On connected subsets of a convergence space

Bryan Castro Herrejón, Frédéric Mynard

Though a convergence space is connected if and only if its topological modification is connected, connected subsets differ for the convergence and for its topological modification.…

nlin.PS2024

Stabilizing optical solitons by frequency-dependent linear gain-loss and the collisional Raman frequency shift

Avner Peleg, Debananda Chakraborty

We study transmission stabilization of optical solitons against emission of radiation in nonlinear optical waveguides in the presence of weak linear gain-loss, cubic loss, and the…

cs.RO2024★ 7 cited

Optimizing Automated Picking Systems in Warehouse Robots Using Machine Learning

Keqin Li, Jin Wang, Xubo Wu +7

With the rapid growth of global e-commerce, the demand for automation in the logistics industry is increasing. This study focuses on automated picking systems in warehouses, utiliz…

q-fin.PM2024★ 7 cited

Application and practice of AI technology in quantitative investment

Shuochen Bi, Wenqing Bao, Jue Xiao +2

With the continuous development of artificial intelligence technology, using machine learning technology to predict market trends may no longer be out of reach. In recent years, ar…

nlin.PS2023★ 5 cited

Stabilizing solitons of the cubic-quintic nonlinear Schrödinger equation by frequency-dependent linear gain-loss and delayed Raman response

Avner Peleg, Debananda Chakraborty

We demonstrate transmission stabilization against radiation emission by frequency-dependent linear gain-loss and perturbation-induced frequency shifting for solitons of the cubic-q…

math.GN2022★ 2 cited

On points of convergence lattices and sobriety for convergence spaces

F. Mynard

We characterize the convergence spaces such that the space of points of in the category of convergence lattices is . On the way, we study vari…

math.GN2021

When is a category of adherence-determined convergences simple?

Frédéric Mynard, Jerzy Wojciechowski

Abstract. We provide a characterization of classes of filters for which the full subcategory of formed…

cs.CY2021★ 95 cited

Machine Learning on the COVID-19 Pandemic, Human Mobility and Air Quality: A Review

Md. Mokhlesur Rahman, Kamal Chandra Paul, Md. Amjad Hossain +3

The ongoing COVID-19 global pandemic is affecting every facet of human lives (e.g., public health, education, economy, transportation, and the environment). This novel pandemic and…

nlin.PS2019★ 12 cited

Radiation dynamics in fast soliton collisions in the presence of cubic loss

Avner Peleg, Debananda Chakraborty

We study the dynamics of emission of radiation (small-amplitude waves) in fast collisions between two solitons of the nonlinear Schrödinger (NLS) equation in the presence of weak c…

math.GN2018★ 2 cited

On (ultra-) completeness numbers and (pseudo-) paving numbers

Frédéric Mynard

We study the completeness and ultracompleteness numbers of a convergence space. In the case of a completely regular topological space, the completeness number is countable if and o…

math.GN2018

Convergence without points

Jean Goubault-Larrecq, Frédéric Mynard

We introduce a pointfree theory of convergence on lattices and coframes. A convergence lattice is a lattice with a monotonic map from the lattice of filters on to…

physics.optics2018★ 9 cited

Enhancement of transmission quality in soliton-based optical waveguide systems by frequency dependent linear gain-loss and the Raman self-frequency shift

Avner Peleg, Debananda Chakraborty

We study transmission stabilization against radiation emission in soliton-based nonlinear optical waveguides with weak linear gain-loss, cubic loss, and delayed Raman response. We…

math.GN2017

The convergence-theoretic approach to g-first countable and symmetrizable spaces

Fadoua Chigr, Frédéric Mynard

This article fits in the context of the approach to topological problems in terms of the underlying convergence space structures, and serves as yet another illustration of the powe…

nlin.PS2016★ 4 cited

Large stable oscillations due to Hopf bifurcations in amplitude dynamics of colliding soliton sequences

Avner Peleg, Debananda Chakraborty

We demonstrate that the amplitudes of optical solitons in nonlinear multisequence optical waveguide coupler systems with weak linear and cubic gain-loss exhibit large stable oscill…

nlin.PS2015★ 9 cited

Stabilizing soliton-based multichannel transmission with frequency dependent linear gain-loss

Debananda Chakraborty, Avner Peleg, Quan M. Nguyen

We report several major theoretical steps towards realizing stable long-distance multichannel soliton transmission in Kerr nonlinear waveguide loops. We find that transmission dest…

math.GN2014

Measure of compactness for filters in product spaces: Kuratowski-Mròwka in CAP revisited

Frédéric Mynard, William Trott

The first author introduced a measure of compactness for families of sets, relative to a class of filters, in the context of convergence approach spaces. We characterize a variety…

cs.DS2013

Approximation Algorithms for Movement Repairmen

MohammadTaghi Hajiaghayi, Rohit Khandekar, M. Reza Khani +1

In the {\em Movement Repairmen (MR)} problem we are given a metric space along with a set of repairmen with their start depots $s_1, s_2, ...,…