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Semidefinite programming is an important optimization task, often used in time-sensitive applications. Though they are solvable in polynomial time, in practice they can be too slow to be used in online, i.e. real-time applications. Here we…

Quantum Physics · Physics 2022-02-03 Tamás Kriváchy , Yu Cai , Joseph Bowles , Daniel Cavalcanti , Nicolas Brunner

In this paper, we present a neural path guiding method to aid with Monte Carlo (MC) integration in rendering. Existing neural methods utilize distribution representations that are either fast or expressive, but not both. We propose a…

Graphics · Computer Science 2025-06-06 Pedro Figueiredo , Qihao He , Nima Khademi Kalantari

In recent times, an increasing number of researchers have been devoted to utilizing deep neural networks for end-to-end flight navigation. This approach has gained traction due to its ability to bridge the gap between perception and…

Robotics · Computer Science 2024-10-11 Zhichao Han , Long Xu , Liuao Pei , Fei Gao

Recently, message-passing graph neural networks (MPNNs) have shown potential for solving combinatorial and continuous optimization problems due to their ability to capture variable-constraint interactions. While existing approaches leverage…

Artificial Intelligence · Computer Science 2025-02-05 Chendi Qian , Christopher Morris

Feed-forward neural networks are a novel class of variational wave functions for correlated many-body quantum systems. Here, we propose a specific neural network ansatz suitable for systems with real-valued wave functions. Its…

Strongly Correlated Electrons · Physics 2022-07-06 Ao Chen , Kenny Choo , Nikita Astrakhantsev , Titus Neupert

Nowadays the term 'sign problem' is used to identify two different problems. The ideas to overcome the first type of the 'sign problem' of strongly oscillating complex valued imtegrand in the Feynman path integrals comes from…

Statistical Mechanics · Physics 2020-03-04 Vladimir Filinov , Alexander Larkin

We consider a model of an artificial neural network that uses quantum-mechanical particles in a two-humped potential as a neuron. To simulate such a quantum-mechanical system the Monte-Carlo integration method is used. A form of the…

Quantum Physics · Physics 2018-06-27 V. I. Dorozhinsky , O. V. Pavlovsky

This paper presents an implementation of multilayer feed forward neural networks (NN) to optimize CMOS analog circuits. For modeling and design recently neural network computational modules have got acceptance as an unorthodox and useful…

Neural and Evolutionary Computing · Computer Science 2012-12-13 Mriganka Chakraborty

The sign problem is a notorious problem, which occurs in Monte Carlo simulations of a system with the partition function whose integrand is not real positive. The basic idea of the factorization method applied on such a system is to control…

Statistical Mechanics · Physics 2011-04-14 Konstantinos N. Anagnostopoulos , Takehiro Azuma , Jun Nishimura

For performing successful measurements within limited experimental time, efficient use of preliminary data plays a crucial role. This work shows that a simple feedforward type neural networks approach for learning preliminary experimental…

Inspired by the universal approximation theorem and widespread adoption of artificial neural network techniques in a diversity of fields, we propose feed-forward neural networks as a general purpose trial wave function for quantum Monte…

Computational Physics · Physics 2021-01-26 Jan Kessler , Francesco Calcavecchia , Thomas D. Kühne

We propose deep neural network algorithms to calculate efficient frontier in some Mean-Variance and Mean-CVaR portfolio optimization problems. We show that we are able to deal with such problems when both the dimension of the state and the…

Portfolio Management · Quantitative Finance 2022-02-16 Xavier Warin

We propose a novel learning method for multilayered neural networks which uses feedforward supervisory signal and associates classification of a new input with that of pre-trained input. The proposed method effectively uses rich input…

Neural and Evolutionary Computing · Computer Science 2015-02-17 Takashi Shinozaki , Yasushi Naruse

The usual path integral formulation for scalar particles at finite density involves a sign problem, making numerical simulation impractical. We present alternative methods free of this difficulty. We apply these approaches to phi^4 theory…

High Energy Physics - Lattice · Physics 2008-11-26 Michael G. Endres

We propose a novel approach toward the general solution of the sign problem in real-time path-integral simulations. Using a recursive multilevel blocking strategy, this method circumvents the sign problem by synthesizing the phase…

Chemical Physics · Physics 2009-10-31 C. H. Mak , R. Egger

We show that the error achievable using physics-informed neural networks for solving systems of differential equations can be substantially reduced when these networks are trained using meta-learned optimization methods rather than to using…

Machine Learning · Computer Science 2023-03-15 Alex Bihlo

A novel neural network (NN) approach is proposed for constrained optimization. The proposed method uses a specially designed NN architecture and training/optimization procedure called Neural Optimization Machine (NOM). The objective…

Machine Learning · Statistics 2022-08-10 Jie Chen , Yongming Liu

We propose new approach to numerical study of quantum spin systems. Our method is based on a fact that one can use any set of states for the path integral as long as it is complete. We apply our method to one-dimensional quantum spin system…

Condensed Matter · Physics 2009-10-22 Tomo Munehisa , Yasuko Munehisa

Iterative differential approximation methods that rely upon backpropagation have enabled the optimization of neural networks; however, at present, they remain computationally expensive, especially when training models at scale. In this…

Machine Learning · Computer Science 2023-11-14 Jake Ryland Williams , Haoran Zhao

It is often useful to perform integration over learned functions represented by neural networks. However, this integration is usually performed numerically, as analytical integration over learned functions (especially neural networks) is…

Machine Learning · Computer Science 2023-12-27 Ryan Kortvelesy