Mitigating the Hubbard sign problem with complex-valued neural networks
نویسندگان
چکیده
Monte Carlo simulations away from half filling suffer a sign problem that can be reduced by deforming the contour of integration. Such transformation, which induces Jacobian determinant in Boltzmann weight, implemented using neural networks. This additional cost for generic network scales cubically with volume, preventing large-scale simulations. We implement an architecture, based on complex-valued affine coupling layers, reduces this to linear scaling. demonstrate efficacy method successfully applying it systems different size, largest is intractable other methods due its severe problem.
منابع مشابه
Complex-Valued Neural Networks
The usual real-valued artificial neural networks have been applied to various fields such as telecommunications, robotics, bioinformatics, image processing and speech recognition, in which complex numbers (two dimensions) are often used with the Fourier transformation. This indicates the usefulness of complex-valued neural networks whose input and output signals and parameters such as weights a...
متن کاملSupervised Learning with Complex-valued Neural Networks
Thank you very much for reading supervised learning with complex valued neural networks. Maybe you have knowledge that, people have look hundreds times for their favorite novels like this supervised learning with complex valued neural networks, but end up in malicious downloads. Rather than reading a good book with a cup of coffee in the afternoon, instead they juggled with some harmful bugs in...
متن کاملNovel Complex Valued Neural Networks
In view of many applications, in recent years, there has been increasing interest in complex valued neural networks. In this paper, it is reasoned that transforming real valued signals into complex valued signals (using Discrete Fourier Transform) and processing them in that domain is equivalent to processing real valued signals. This approach could have many advantages. Also neural networks ba...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2022
ISSN: ['1098-0121', '1550-235X', '1538-4489']
DOI: https://doi.org/10.1103/physrevb.106.125139