Tootfinder

Learning Time-Graph Frequency Representation for Monaural Speech Enhancement
Tingting Wang, Tianrui Wang, Meng Ge, Qiquan Zhang, Xi Shao
https://arxiv.org/abs/2510.01130 https:/…

Learning Time-Graph Frequency Representation for Monaural Speech Enhancement
The Graph Fourier Transform (GFT) has recently demonstrated promising results in speech enhancement. However, existing GFT-based speech enhancement approaches often employ fixed graph topologies to build the graph Fourier basis, whose the representation lacks the adaptively and flexibility. In addition, they suffer from the numerical errors and instability introduced by matrix inversion in GFT based on both Singular Value Decomposition (GFT-SVD) and Eigen Vector Decomposition (GFT-EVD). Motivat…

Higher-order homogenization for equations of linearized elasticity using the operator-asymptotic approach
Yi-Sheng Lim, Josip \v{Z}ubrini\'c
https://arxiv.org/abs/2508.19388

Higher-order homogenization for equations of linearized elasticity using the operator-asymptotic approach
The operator-asymptotic approach was introduced by Lim-Žubrinić in [Asymptotic Analysis. 141(4), p. 211-256 (2025)] for the homogenization of an $\varepsilon\mathbb{Z}^d$-periodic composite media. In this article, we consider the setting of three-dimensional linearized elasticity, and extend the approach to obtain higher-order convergence rates. In particular, we consider the so-called ``Bloch approximation'' for vector-valued functions with compact Fourier support, and demonstrate that under…

Fourier-Orbit Construction of GKZ-Type Systems for Commutative Linear Algebraic Groups
Go Okuyama
https://arxiv.org/abs/2509.03881 https://arxiv.org/pdf/25…

Fourier-Orbit Construction of GKZ-Type Systems for Commutative Linear Algebraic Groups
We introduce the Fourier-orbit construction of GKZ-type D-modules associated with commutative linear algebraic group actions G = TU (where T is an algebraic torus and U a unipotent group) on a vector space V. This framework generalizes the classical toric GKZ system to mixed torus-unipotent settings. We establish generic holonomicity via a parameter-free symbolic moment ideal, develop symbolic tools for rank analysis, and exhibit new families with Airy-type irregular behavior. Our approach reco…

Near-Optimal Recovery Performance of PhaseLift for Phase Retrieval from Coded Diffraction Patterns
Meng Huang, Jinming Wen, Ran Zhang
https://arxiv.org/abs/2509.10300 https://…

Near-Optimal Recovery Performance of PhaseLift for Phase Retrieval from Coded Diffraction Patterns
The PhaseLift algorithm is an effective convex method for solving the phase retrieval problem from Fourier measurements with coded diffraction patterns (CDP). While exact reconstruction guarantees are well-established in the noiseless case, the stability of recovery under noise remains less well understood. In particular, when the measurements are corrupted by an additive noise vector $\mathbf{w} \in \mathbb{R}^m$, existing recovery bounds scale on the order of $\|\mathbf{w}\|_2$, whi…

A Note on the Solution of Symmetric Circulant Real Linear Systems
Alessandro Guazzini, Enrico Caricchio
https://arxiv.org/abs/2508.00863 https://arxiv.org/…

A Note on the Solution of Symmetric Circulant Real Linear Systems
A straightforward real-valued solution to symmetric circulant real linear systems of equations is proposed using the Fast Fourier Transform, applicable to both the cases of a non-constant and a constant vector of known values.