Tootfinder

Higher-Order Neuromorphic Ising Machines -- Autoencoders and Fowler-Nordheim Annealers are all you need for Scalability
Faiek Ahsan, Saptarshi Maiti, Zihao Chen, Jakob Kaiser, Ankita Nandi, Madhuvanthi Srivatsav, Johannes Schemmel, Andreas G. Andreou, Jason Eshraghian, Chetan Singh Thakur, Shantanu Chakrabartty
https://arxiv.org…

Higher-Order Neuromorphic Ising Machines -- Autoencoders and Fowler-Nordheim Annealers are all you need for Scalability
We report a higher-order neuromorphic Ising machine that exhibits superior scalability compared to architectures based on quadratization, while also achieving state-of-the-art quality and reliability in solutions with competitive time-to-solution metrics. At the core of the proposed machine is an asynchronous autoencoder architecture that captures higher-order interactions by directly manipulating Ising clauses instead of Ising spins, thereby maintaining resource complexity independent of inter…

Black-box optimization using factorization and Ising machines
Ryo Tamura, Yuya Seki, Yuki Minamoto, Koki Kitai, Yoshiki Matsuda, Shu Tanaka, Koji Tsuda
https://arxiv.org/abs/2507.18003

Black-box optimization using factorization and Ising machines
Black-box optimization (BBO) is used in materials design, drug discovery, and hyperparameter tuning in machine learning. The world is experiencing several of these problems. In this review, a factorization machine with quantum annealing or with quadratic-optimization annealing (FMQA) algorithm to realize fast computations of BBO using Ising machines (IMs) is discussed. The FMQA algorithm uses a factorization machine (FM) as a surrogate model for BBO. The FM model can be directly transformed int…

Quadrature formulas from rational approximations
Andrew Horning, Lloyd N. Trefethen
https://arxiv.org/abs/2507.14971 https://arxiv.or…

Quadrature formulas from rational approximations
It is shown that quadrature formulas in many different applications can be derived from rational approximation of the Cauchy transform of a weight function. Since rational approximation is now a routine technology, this provides an easy new method to derive all kinds of quadrature formulas as well as fundamental insight into the mathematics of quadrature. Intervals or curves of quadrature nodes correspond to near-optimal branch cuts of the Cauchy transform.

Heute vor 16 Jahren: Am 25. Mai 2009 führte #Nordkorea seinen 2. #Atomtest durch. Die Explosion hatte etwa ein Drittel der Sprengkraft der Hiroshima-Bombe mit einer geschätzten Stärke von 2,35 Kilotonnen. Der Test löste weltweite Verurteilungen und schärfere UN-Sanktionen aus.

Tighter Error Bounds for the qDRIFT Algorithm
I. J. David, I. Sinayskiy, F. Petruccione
https://arxiv.org/abs/2506.17199 https://arxi…

Tighter Error Bounds for the qDRIFT Algorithm
Randomized algorithms such as qDRIFT provide an efficient framework for quantum simulation by sampling terms from a decomposition of the system's generator. However, existing error bounds for qDRIFT scale quadratically with the norm of the generator, limiting their efficiency for large-scale closed or open quantum system simulation. In this work, we refine the qDRIFT error bound by incorporating Jensen's inequality and a careful treatment of the integral form of the error. This yields an improv…

Replaced article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[1/1]:
- Simultaneous symplectic reduction of quadratic forms into normal forms
Rudra R. Kamat, Hemant K. Mishra

Bias hardened estimators of patchy screening profiles
Noah Sailer, Boryana Hadzhiyska, Simone Ferraro
https://arxiv.org/abs/2506.17217 https://

Bias hardened estimators of patchy screening profiles
Detecting anisotropic screening of the cosmic microwave background (CMB) holds the promise of revealing the distribution of gas in the Universe, characterizing the complex processes of galaxy formation and feedback, and studying the epoch of reionization. Estimators for inhomogeneous screening, including some recently proposed small-scale (stacked) estimators, are quadratic or higher order in the CMB temperature or polarization fields and are therefore subject to contamination from CMB lensing.…

Mean-Field Stochastic Linear-Quadratic Optimal Controls: Roles of Expectation and Conditional Expectation Operators
Hanxiao Wang, Jiongmin Yong
https://arxiv.org/abs/2507.16582

Mean-Field Stochastic Linear-Quadratic Optimal Controls: Roles of Expectation and Conditional Expectation Operators
This paper investigates a mean-field linear-quadratic optimal control problem where the state dynamics and cost functional incorporate both expectation and conditional expectation terms. We explicitly derive the pre-committed, na\"ıve, and equilibrium solutions and establish the well-posedness of the associated Riccati equations. This reveals how the expectation and conditional expectation operators influence time-consistency.

Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting
Brian Christner, Jesse Chan
https://arxiv.org/abs/2507.14488 https://…

Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting
Lin, Chan (High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting, 2024) enforces a cell entropy inequality for nodal discontinuous Galerkin methods by combining flux corrected transport (FCT)-type limiting and a knapsack solver, which determines optimal limiting coefficients that result in a semi-discrete cell entropy inequality while preserving nodal bounds. In this work, we provide a slight modification of this approach, where we utilize a quadrati…

General Linear-Quadratic Mean Field Stochastic Differential Game with Common Noise: a Direct Method
Yu Si, Jingtao Shi
https://arxiv.org/abs/2506.16779 htt…

General Linear-Quadratic Mean Field Stochastic Differential Game with Common Noise: a Direct Method
This paper investigates a class of general linear-quadratic mean field games with common noise, where the diffusion terms of the system contain the state variables, control variables, and the average state terms. We solve the problem using both the direct method and the fixed-point method in the paper. First, by using the variational method to solve a finite $N$-players game problem, we obtain the necessary and sufficient conditions for the centralized open-loop Nash equilibrium strategy. Subse…