Tootfinder

The Performance of Low-Synchronization Variants of Reorthogonalized Block Classical Gram--Schmidt
Erin Carson, Yuxin Ma
https://arxiv.org/abs/2507.21791 https://

The Performance of Low-Synchronization Variants of Reorthogonalized Block Classical Gram--Schmidt
Numerous applications, such as Krylov subspace solvers, make extensive use of the block classical Gram-Schmidt (BCGS) algorithm and its reorthogonalized variants for orthogonalizing a set of vectors. For large-scale problems in distributed memory settings, the communication cost, particularly the global synchronization cost, is a major performance bottleneck. In recent years, many low-synchronization BCGS variants have been proposed in an effort to reduce the number of synchronization points. T…

Inverse scattering transform via affine map: applications to high-speed nonlinear optical communications
Ilia Kuk, Ildar R. Gabitov
https://arxiv.org/abs/2507.20470 https://

Inverse scattering transform via affine map: applications to high-speed nonlinear optical communications
This work present an affine map approximation for solving the inverse scattering problem related to the nonlinear Schrödinger model of signal propagation in high-speed coherent optical communication. Numerical simulations indicate that accurate recovery of the transmitted bit sequence can be achieved using only the continuous part of the Lax spectrum at the fiber output, thereby allowing the discrete (soliton) spectrum to be disregarded. We observed that the numerically evaluated rank of the r…

Niners TE George Kittle on DC Robert Saleh's return: 'Violence is coming' https://www.nfl.com/news/niners-george-kittle-robert-saleh-return-violence-is-coming

Canonical Quantization of a Memristive Leaky Integrate-and-Fire Neuron Circuit
Dean Brand, Domenica Dibenedetto, Francesco Petruccione
https://arxiv.org/abs/2506.21363

Canonical Quantization of a Memristive Leaky Integrate-and-Fire Neuron Circuit
We present a theoretical framework for a quantized memristive Leaky Integrate-and-Fire (LIF) neuron, uniting principles from neuromorphic engineering and open quantum systems. Starting from a classical memristive LIF circuit, we apply canonical quantization techniques to derive a quantum model grounded in circuit quantum electrodynamics. Numerical simulations demonstrate key dynamical features of the quantized memristor and LIF neuron in the weak-coupling and adiabatic regime, including memory …

An Optimal Transport-Based Method for Computing LM Rate and Its Convergence Analysis
Shitong Wu, Wenhao Ye, Xinwei Li, Lingyi Chen, Wenyi Zhang, Huihui Wu, Hao Wu
https://arxiv.org/abs/2507.20129

An Optimal Transport-Based Method for Computing LM Rate and Its Convergence Analysis
The mismatch capacity characterizes the highest information rate of the channel under a prescribed decoding metric and serves as a critical performance indicator in numerous practical communication scenarios. Compared to the commonly used Generalized Mutual Information (GMI), the Lower bound on the Mismatch capacity (LM rate) generally provides a tighter lower bound on the mismatch capacity. However, the efficient computation of the LM rate is significantly more challenging than that of the GMI…

Enabling Scalability in Asynchronous and Bidirectional Communication in LPWAN
Mahbubur Rahman
https://arxiv.org/abs/2507.17905 https://arxiv.org/pdf/2507.1…

Enabling Scalability in Asynchronous and Bidirectional Communication in LPWAN
LPWANs have become ubiquitous due to their ability to connect sensors over large geographic areas in a single hop. It is, however, very challenging to achieve massive scalability in LPWANs, where numerous sensors can transmit data efficiently and with low latency, which emerging IoT and CPS applications may require. In this paper, we address the above challenges by significantly advancing an LPWAN technology called SNOW. SNOW exploits distributed orthogonal frequency division multiplexing, D-OF…

Performance Analysis of OAMP Detection for ODDM Modulation in Satellite Communications
Yu Liu, Cunhua Pan, Tantao Gong, Yinlu Wang, Ming Chen
https://arxiv.org/abs/2506.19688

Performance Analysis of OAMP Detection for ODDM Modulation in Satellite Communications
Towards future 6G wireless networks, low earth orbit (LEO) satellites have been widely considered as a promising component to enhance the terrestrial communications. To ensure the link reliability of high-mobility satellite communication scenarios, the emerging orthogonal delay-Doppler division multiplexing (ODDM) modulation has attracted significant research attention. In this paper, we study the diversity gain achieved by ODDM modulation along with the mathematical analysis and numerical simu…

A numerical approach to particle creation in accelerating toy models
Pedro Duarte Baptista, Alex Va\~n\'o-Vi\~nuales, Adr\'ian del R\'io Vega
https://arxiv.org/abs/2506.18610

A numerical approach to particle creation in accelerating toy models
The formation of black holes by the gravitational collapse of stars is known to spontaneously excite particle pairs out of the quantum vacuum. For the canonical vacuum state at past null infinity, the expected number of particles received at future null infinity can be obtained in full closed form at sufficiently late times. However, for intermediate times, or for more complicated astrophysical processes (e.g. binary black hole mergers), the problem is technically challenging and has not yet be…

Numerical study of the radiation-matter interaction quantum systems through the time-dependent Schr\"odinger dynamics
Leonardi Hern\'andez S\'anchez, Ir\'an Ramos Prieto, Ariel Flores Rosas, Francisco Soto Eguibar, H\'ector Manuel Moya Cessa
https://arxiv.org/abs/2506.19227

Numerical study of the radiation-matter interaction quantum systems through the time-dependent Schrödinger dynamics
Obtaining exact solutions to the Schrödinger equation in complex quantum systems poses significant challenges. In this context, numerical methods emerge as valuable tools for analyzing such systems. This article proposes a numerical approach using the fourth-order Runge-Kutta method, implemented in Python, to tackle radiation-matter interaction systems. This methodology is applicable to various Hamiltonians, including that of the Jaynes-Cummings model. The accuracy of the numerical results is …

Gaussian-Based Periodic Grand Canonical Density Functional Theory with Implicit Solvation for Computational Electrochemistry
Anton Z. Ni, Adam Rettig, Joonho Lee
https://arxiv.org/abs/2508.15705

Gaussian-Based Periodic Grand Canonical Density Functional Theory with Implicit Solvation for Computational Electrochemistry
We present a numerical method for grand canonical density functional theory (DFT) tailored to solid-state systems, employing Gaussian-type orbitals as the primary basis. Our approach directly minimizes the grand canonical free energy using the density matrix as the sole variational parameter, while self-consistently updating the electron number between self-consistent field iterations. To enable realistic electrochemical modeling, we integrate this approach with implicit solvation models. Our s…