中文
相关论文

相关论文: Neural Control Variates with Automatic Integration

200 篇论文

Deep neural networks are an attractive alternative for simulating complex dynamical systems, as in comparison to traditional scientific computing methods, they offer reduced computational costs during inference and can be trained directly…

机器学习 · 计算机科学 2024-05-01 Katarzyna Michałowska , Somdatta Goswami , George Em Karniadakis , Signe Riemer-Sørensen

We discuss differences and similarities between variational Monte Carlo approaches that use conventional and artificial neural network parameterizations of the ground-state wave function for systems of fermions. We focus on a relatively…

介观与纳米尺度物理 · 物理学 2025-01-13 Even M. Nordhagen , Jane M. Kim , Bryce Fore , Alessandro Lovato , Morten Hjorth-Jensen

Applying nonlinear model predictive control (NMPC) to systems with hybrid dynamics or discrete actions typically yields mixed-integer nonlinear programs (MINLPs), whose real-time solution remains a major challenge and limits the…

系统与控制 · 电气工程与系统科学 2026-05-11 Christopher Anthony Orrico , W. P. M. H. Heemels , Dinesh Krishnamoorthy

In motor neuroscience, artificial recurrent neural networks models often complement animal studies. However, most modeling efforts are limited to data-fitting, and the few that examine virtual embodied agents in a reinforcement learning…

神经元与认知 · 定量生物学 2023-05-19 Eugene R. Rush , Kaushik Jayaram , J. Sean Humbert

We employ deep learning techniques to investigate the critical properties of the continuous phase transition in the majority vote model. In addition to deep learning, principal component analysis is utilized to analyze the transition. For…

In this paper, we introduce a novel architecture to connecting adaptive learning and neural networks into an arbitrary machine's control system paradigm. Two consecutive Recurrent Neural Networks (RNNs) are used together to accurately model…

机器学习 · 计算机科学 2020-02-26 Srikanth Chandar , Harsha Sunder

Machine learning models are commonly applied to human brain imaging datasets in an effort to associate function or structure with behaviour, health, or other individual phenotypes. Such models often rely on low-dimensional maps generated by…

定量方法 · 定量生物学 2021-09-21 Gregory Kiar , Yohan Chatelain , Ali Salari , Alan C. Evans , Tristan Glatard

We construct several variational integrators--integrators based on a discrete variational principle--for systems with Lagrangians of the form L = L_A + epsilon L_B, with epsilon << 1, where L_A describes an integrable system. These…

天体物理学 · 物理学 2009-01-25 Will M. Farr

Path integral (PI) control problems are a restricted class of non-linear control problems that can be solved formally as a Feyman-Kac path integral and can be estimated using Monte Carlo sampling. In this contribution we review path…

系统与控制 · 计算机科学 2016-03-23 Hilbert Johan Kappen , Hans Christian Ruiz

We present a new neuroadaptive architecture: Deep Neural Network based Model Reference Adaptive Control (DMRAC). Our architecture utilizes the power of deep neural network representations for modeling significant nonlinearities while…

机器学习 · 计算机科学 2019-09-19 Girish Joshi , Girish Chowdhary

This paper addresses output reference tracking with prescribed transient performance for unknown nonlinear multi-input multi-output systems with arbitrary relative degree. We propose a novel derivative-free extension of funnel control based…

最优化与控制 · 数学 2026-05-20 Janina Schaa , Thomas Berger

Control theory of dynamical systems offers a powerful framework for tackling challenges in deep neural networks and other machine learning architectures. We show that concepts such as simultaneous and ensemble controllability offer new…

最优化与控制 · 数学 2025-12-19 Enrique Zuazua

When a physical system is driven away from equilibrium, the statistical distribution of its dynamical trajectories informs many of its physical properties. Characterizing the nature of the distribution of dynamical observables, such as a…

统计力学 · 物理学 2024-06-19 Jiawei Yan , Grant M. Rotskoff

We develop a weak adversarial approach to solving obstacle problems using neural networks. By employing (generalised) regularised gap functions and their properties we rewrite the obstacle problem (which is an elliptic variational…

最优化与控制 · 数学 2024-11-28 Amal Alphonse , Michael Hintermüller , Alexander Kister , Chin Hang Lun , Clemens Sirotenko

We propose a sequential Monte Carlo algorithm for parameter learning when the studied model exhibits random discontinuous jumps in behaviour. To facilitate the learning of high dimensional parameter sets, such as those associated to neural…

机器学习 · 统计学 2024-12-19 John-Joseph Brady , Yuhui Luo , Wenwu Wang , Víctor Elvira , Yunpeng Li

The article sets and solves the task to control an error of the artificial neural network with variable signal conductivity. This kind of neural networks was especially developed to construct timetables. Behavior of such a neural network…

最优化与控制 · 数学 2016-08-17 Alexander Ignatenkov , Alexey Olshansky

Training a deep convolutional neural net typically starts with a random initialisation of all filters in all layers which severely reduces the forward signal and back-propagated error and leads to slow and sub-optimal training. Techniques…

计算机视觉与模式识别 · 计算机科学 2017-06-14 Brendan Ruff

Constructing more expressive ansatz has been a primary focus for quantum Monte Carlo, aimed at more accurate \textit{ab initio} calculations. However, with more powerful ansatz, e.g. various recent developed models based on neural-network…

计算物理 · 物理学 2023-08-07 Weizhong Fu , Weiluo Ren , Ji Chen

In this work, we introduce a machine/deep learning methodology to solve parametric integrals. Besides classical machine learning approaches, we consider a differential learning framework that incorporates derivative information during…

机器学习 · 计算机科学 2025-12-15 Álvaro Leitao , Jonatan Ráfales

Deep neural networks are a promising approach towards multi-task learning because of their capability to leverage knowledge across domains and learn general purpose representations. Nevertheless, they can fail to live up to these promises…

机器学习 · 计算机科学 2019-12-17 Mihai Suteu , Yike Guo