output
20082025
most citedOn the approximation by single hidden layer feedforward neural networks with fixed weights

120 citations

35 papers

cs.DL2025★ 1 cited

Metrics Over Merit: The Hidden Costs of Citation Impact in Research

Vugar Ismailov

Once upon a time, scientists' worth was measured by their ideas, proofs, and perhaps how eloquently they debated Hilbert's problems at seminars. But now, citation metrics have come…

cs.LG2025

On shallow feedforward neural networks with inputs from a topological space

Vugar Ismailov

We study feedforward neural networks with inputs from a topological space (TFNNs). We prove a universal approximation theorem for shallow TFNNs, which demonstrates their capacity t…

cond-mat.str-el2025★ 2 cited

Dynamic scaling and Family-Vicsek universality in quantum spin chains

Cătălin Paşcu Moca, Balázs Dóra, Doru Sticlet +3

The Family-Vicsek scaling is a fundamental framework for understanding surface growth in non-equilibrium classical systems, providing a universal description of temporal surface ro…

cond-mat.str-el2024★ 1 cited

Loss-induced quantum information jet in an infinite temperature Hubbard chain

Patrik Penc, Cătălin Paşcu Moca, Örs Legeza +3

Information propagation in the one-dimensional infinite temperature Hubbard model with a dissipative particle sink at the end of a semi-infinite chain is studied. In the strongly i…

cs.LG2023★ 12 cited

Measure theoretic results for approximation by neural networks with limited weights

Vugar Ismailov, Ekrem Savas

In this paper, we study approximation properties of single hidden layer neural networks with weights varying on finitely many directions and thresholds from an open interval. We ob…

math.AP2022★ 1 cited

Higher order elliptic equations in weighted Banach spaces

Bilal T. Bilalov, Sabina R. Sadigova, Lubomira G. Softova

We consider higher order linear, uniformly elliptic equations with non-smooth coefficients in Banach-Sobolev spaces generated by weighted general Banach Function Space (BFS). Suppo…

math.FA2022★ 1 cited

A Chebyshev type alternation theorem for best approximation by a sum of two algebras

Aida Asgarova, Ali Huseynli, Vugar Ismailov

Let be a compact metric space, be the space of continuous real-valued functions on , and , be two closed subalgebras of containing constant function…

math.FA2021★ 5 cited

Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications

A. Kucukaslan, V. S. Guliyev, C. Aykol +1

In this paper, we give the definition of local variable Morrey Lorentz spaces which are a new class of functions. Also, we prove the boundedness of the Hardy Littlewood maximal ope…

cs.NE2021★ 76 cited

Approximation capability of two hidden layer feedforward neural networks with fixed weights

Namig J. Guliyev, Vugar E. Ismailov

We algorithmically construct a two hidden layer feedforward neural network (TLFN) model with the weights fixed as the unit coordinate vectors of the -dimensional Euclidean space…

math.FA2020

On selfadjoint extensions of symmetric operator with exit from space

Khalig M. Aslanov, Nigar M. Aslanova

We investigate minimal operator corresponding to operator differential expression with exit from space, study its selfadjoint extensions, also for one particular selfadjoint extens…

math-ph2019★ 20 cited

Inverse square singularities and eigenparameter dependent boundary conditions are two sides of the same coin

Namig J. Guliyev

We show that inverse square singularities can be treated as boundary conditions containing rational Herglotz--Nevanlinna functions of the eigenvalue parameter with "a negative numb…

math.FA2019★ 12 cited

A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter

Namig J. Guliyev

We establish a criterion for a set of eigenfunctions of the one-dimensional Schrödinger operator with distributional potentials and boundary conditions containing the eigenvalue pa…

physics.acc-ph2018

The LHC based p colliders

U. Kaya, B. Ketenoglu, S. Sultansoy

Construction of muon collider or dedicated muon ring tangential to the LHC will give opportunity to handle p collisions at multi-TeV center of mass energies. Main parameters and…

math-ph2018★ 62 cited

Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter

Namig J. Guliyev

We study various direct and inverse spectral problems for the one-dimensional Schrödinger equation with distributional potential and boundary conditions containing the eigenvalue p…

math.SP2018★ 27 cited

On two-spectra inverse problems

Namig J. Guliyev

We consider a two-spectra inverse problem for the one-dimensional Schrödinger equation with boundary conditions containing rational Herglotz--Nevanlinna functions of the eigenvalue…

math.AP2018

On uniqueness of weak solutions of the incompressible Navier-Stokes equations in 3-dimensional case

Kamal N. Soltanov

In this article we study the uniqueness of the weak solution of the incompressible Navier-Stokes Equation in the 3-dimensional case with use of different approach. Here the uniquen…

cs.NE2017★ 120 cited

On the approximation by single hidden layer feedforward neural networks with fixed weights

Namig J. Guliyev, Vugar E. Ismailov

Feedforward neural networks have wide applicability in various disciplines of science due to their universal approximation property. Some authors have shown that single hidden laye…

math.SP2017★ 38 cited

Essentially isospectral transformations and their applications

Namig J. Guliyev

We define and study the properties of Darboux-type transformations between Sturm--Liouville problems with boundary conditions containing rational Herglotz--Nevanlinna functions of…

physics.acc-ph2017

SppC based energy frontier lepton-proton colliders: luminosity and physics

A. C. Canbay, U. Kaya, B. Ketenoglu +2

In this study, main parameters of Super proton-proton Collider (SppC) based lepton-proton colliders are estimated. For electron beam parameters, highest energy International Linear…

cs.IR2017★ 26 cited

Volatility Prediction using Financial Disclosures Sentiments with Word Embedding-based IR Models

Navid Rekabsaz, Mihai Lupu, Artem Baklanov +3

Volatility prediction--an essential concept in financial markets--has recently been addressed using sentiment analysis methods. We investigate the sentiment of annual disclosures o…

cs.NE2016★ 74 cited

A single hidden layer feedforward network with only one neuron in the hidden layer can approximate any univariate function

Namig J. Guliyev, Vugar E. Ismailov

The possibility of approximating a continuous function on a compact subset of the real line by a feedforward single hidden layer neural network with a sigmoidal activation function…

math.FA2015★ 2 cited

Generalized Hardy-Morrey spaces

Ali Akbulut, Vagif Guliyev, Takahiro Noi +1

The generalized Morrey space was defined independetly by T. Mizuhara 1991 and E. Nakai in 1994. Generalized Morrey space is equipped with a para…

math.AP2015★ 6 cited

The Dirichlet problem in a class of generalized weighted spaces

Vagif S. Guliyev, Mehriban Omarova, Lubomira Softova

We show continuity in generalized weighted Morrey spaces of sub-linear integral operators generated by some classical integral operators and commutators. The obtained estimates are…

math.FA2015★ 13 cited

Weak-type estimates in Morrey spaces for maximal commutator and commutator of maximal function

Amiran Gogatishvili, Rza Mustafayev, Müjdat Ağcayazı

In this paper it is shown that the Hardy-Littlewood maximal operator is not bounded on Zygmund-Morrey space , but is still bounded on $\mathcal{M…