Deep convolutional neural networks and data approximation using the fractional Fourier transform
Fuente:
arXiv
Saved in:
| Main Authors: | Biswas, M. H. A., Massopust, P., Ramakrishnan, R. |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Semi-Rings, Semi-Vector Spaces, and Fractal Interpolation
by: Massopust, Peter R.
Published: (2025)
by: Massopust, Peter R.
Published: (2025)
The system of translates and the special affine Fourier transform
by: Biswas, Md Hasan Ali, et al.
Published: (2022)
by: Biswas, Md Hasan Ali, et al.
Published: (2022)
The directional short-time fractional Fourier transform of distributions
by: Ferizi, Astrit, et al.
Published: (2024)
by: Ferizi, Astrit, et al.
Published: (2024)
The windowed quadratic phase Fourier transform: structure, convolution theorem and application
by: Varghese, Sarga, et al.
Published: (2025)
by: Varghese, Sarga, et al.
Published: (2025)
Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
by: Cantarini, Marco, et al.
Published: (2024)
by: Cantarini, Marco, et al.
Published: (2024)
A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks
by: Sonoda, Sho, et al.
Published: (2024)
by: Sonoda, Sho, et al.
Published: (2024)
Sharp extension problem characterizations for higher fractional power operators in Banach spaces
by: Biswas, A., et al.
Published: (2023)
by: Biswas, A., et al.
Published: (2023)
Short-time Fourier transform and superoscillations
by: Alpay, Daniel, et al.
Published: (2024)
by: Alpay, Daniel, et al.
Published: (2024)
Improved Stein inequalities for the Fourier transform
by: Nursultanov, Erlan D., et al.
Published: (2023)
by: Nursultanov, Erlan D., et al.
Published: (2023)
On functions with Fourier transforms in Generalized Grand Lebesgue space
by: Gurkanli, A. Turan, et al.
Published: (2023)
by: Gurkanli, A. Turan, et al.
Published: (2023)
Distributionally robust approximation property of neural networks
by: Ceylan, Mihriban, et al.
Published: (2025)
by: Ceylan, Mihriban, et al.
Published: (2025)
Universal approximation with complex-valued deep narrow neural networks
by: Geuchen, Paul, et al.
Published: (2023)
by: Geuchen, Paul, et al.
Published: (2023)
On the Fourier transform of measures in Besov spaces
by: Basak, Riju, et al.
Published: (2025)
by: Basak, Riju, et al.
Published: (2025)
Approximate identity and approximation properties of multidimensional Fourier algebras
by: Kanupriya, et al.
Published: (2025)
by: Kanupriya, et al.
Published: (2025)
Uniformity in the Fourier inversion formula with applications to Laplace transforms
by: Alexopoulos, Joannis
Published: (2025)
by: Alexopoulos, Joannis
Published: (2025)
New advances in universal approximation with neural networks of minimal width
by: Rochau, Dennis, et al.
Published: (2024)
by: Rochau, Dennis, et al.
Published: (2024)
Inversion problem in algebras of integrable functions with summable Fourier transforms
by: Ohrysko, Przemysław
Published: (2026)
by: Ohrysko, Przemysław
Published: (2026)
A mathematical survey on Fourier type integral transform and their offshoots: windowed Fourier transform, wavelet transform and Stockwell transform
by: Gupta, Bivek, et al.
Published: (2024)
by: Gupta, Bivek, et al.
Published: (2024)
On $θ$-centralizing $θ$-generalized derivations on convolution algebras
by: Eisaei, M., et al.
Published: (2024)
by: Eisaei, M., et al.
Published: (2024)
Asymptotic results for the distributional fractional Stockwell and fractional wavelet transforms
by: Maksimović, Snježana
Published: (2025)
by: Maksimović, Snježana
Published: (2025)
Fourier transform of BV functions and applications
by: Beretti, Thomas, et al.
Published: (2024)
by: Beretti, Thomas, et al.
Published: (2024)
A note on the $L^{2}-$harmonic analysis of the Joint-Eigenspace Fourier transform
by: Oyadare, O. O.
Published: (2024)
by: Oyadare, O. O.
Published: (2024)
Fourier inversion theorems for integral transforms involving Bessel functions
by: Gorshkov, Alexey
Published: (2021)
by: Gorshkov, Alexey
Published: (2021)
Some approximation properties in fractional Musielak-Sobolev spaces
by: Baalal, Azeddine, et al.
Published: (2024)
by: Baalal, Azeddine, et al.
Published: (2024)
Monotonicity of functionals associated to product measures via their Fourier transform and applications
by: Malliaris, Andreas
Published: (2025)
by: Malliaris, Andreas
Published: (2025)
Bases of Lebesgue spaces formed by neural networks
by: Kulbatov, Vladimir, et al.
Published: (2025)
by: Kulbatov, Vladimir, et al.
Published: (2025)
Decay of Fourier transforms and generalized Besov spaces
by: Jordão, Thaís
Published: (2019)
by: Jordão, Thaís
Published: (2019)
Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces
by: Atanasova, Sanja, et al.
Published: (2025)
by: Atanasova, Sanja, et al.
Published: (2025)
Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces
by: Atanasova, Sanja, et al.
Published: (2025)
by: Atanasova, Sanja, et al.
Published: (2025)
Improved universal approximation with neural networks studied via affine-invariant subspaces of $L_2(\mathbb{R}^n)$
by: Schneider, Cornelia, et al.
Published: (2025)
by: Schneider, Cornelia, et al.
Published: (2025)
Rearrangements and infimum convolutions
by: Duggal, Devraj, et al.
Published: (2025)
by: Duggal, Devraj, et al.
Published: (2025)
Reduction of a nonlinear system and its numerical solution using a fractional iterative method
by: Torres-Hernandez, A., et al.
Published: (2020)
by: Torres-Hernandez, A., et al.
Published: (2020)
Trigonometric weighted generalized convolution operator associated with Fourier cosine-sine and Kontorovich-Lebedev transformations
by: Tuan, Trinh, et al.
Published: (2023)
by: Tuan, Trinh, et al.
Published: (2023)
Homogenization of non-symmetric convolution type operators
by: Piatnitski, Andrey, et al.
Published: (2025)
by: Piatnitski, Andrey, et al.
Published: (2025)
Arens regularity of weighted convolution algebras that arise from totally ordered semilattices
by: Celorrio, M. Eugenia
Published: (2024)
by: Celorrio, M. Eugenia
Published: (2024)
Boundedness of some convolution-type operators on metric measure spaces
by: Aldaz, J. M.
Published: (2024)
by: Aldaz, J. M.
Published: (2024)
Mapping properties of the Fourier transform in spaces with dominating mixed smoothness
by: Triebel, Hans
Published: (2024)
by: Triebel, Hans
Published: (2024)
Symmetric approximation of frames and bases in Hilbert spaces
by: Frank, M., et al.
Published: (1998)
by: Frank, M., et al.
Published: (1998)
An SU(2n)-valued nonlinear Fourier transform
by: Alexis, Michel, et al.
Published: (2026)
by: Alexis, Michel, et al.
Published: (2026)
Fourier and Helgason Fourier transforms for Vector Bundle-valued Differential Forms on Homogeneous Spaces
by: Oyadare, Olufemi O.
Published: (2025)
by: Oyadare, Olufemi O.
Published: (2025)
Similar Items
-
Semi-Rings, Semi-Vector Spaces, and Fractal Interpolation
by: Massopust, Peter R.
Published: (2025) -
The system of translates and the special affine Fourier transform
by: Biswas, Md Hasan Ali, et al.
Published: (2022) -
The directional short-time fractional Fourier transform of distributions
by: Ferizi, Astrit, et al.
Published: (2024) -
The windowed quadratic phase Fourier transform: structure, convolution theorem and application
by: Varghese, Sarga, et al.
Published: (2025) -
Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
by: Cantarini, Marco, et al.
Published: (2024)