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The near-critical unitary dynamics of quantum Ising spin chains in transversal and longitudinal magnetic fields is studied using an artificial neural network representation of the wave function. A focus is set on strong spatial correlations…

量子物理 · 物理学 2018-08-08 Stefanie Czischek , Martin Gärttner , Thomas Gasenzer

Deep Learning (DL) , a variant of the neural network algorithms originally proposed in the 1980s, has made surprising progress in Artificial Intelligence (AI), ranging from language translation, protein folding, autonomous cars, and more…

人工智能 · 计算机科学 2023-07-24 Stephen Josè Hanson , Vivek Yadav , Catherine Hanson

We study the 2-dimensional Ising model at critical temperature on a simply connected subset $\Omega_{\delta}$ of the square grid $\delta\mathbb{Z}^{2}$. The scaling limit of the critical Ising model is conjectured to be described by…

数学物理 · 物理学 2018-11-26 Reza Gheissari , Clément Hongler , S. C. Park

In this paper we develop a statistical theory and an implementation of deep learning models. We show that an elegant variable splitting scheme for the alternating direction method of multipliers optimises a deep learning objective. We allow…

机器学习 · 统计学 2015-09-22 Nicholas G. Polson , Brandon T. Willard , Massoud Heidari

The lack of interpretability and trust is a much-criticised feature of deep neural networks. In fully connected nets, the signalling between inner layers is scrambled because backpropagation training does not require perceptrons to be…

信号处理 · 电气工程与系统科学 2021-01-28 Jake L. Amey , Jake Keeley , Tajwar Choudhury , Ilya Kuprov

Present day machine learning is computationally intensive and processes large amounts of data. It is implemented in a distributed fashion in order to address these scalability issues. The work is parallelized across a number of computing…

机器学习 · 计算机科学 2017-03-28 Alexander Ulanov , Andrey Simanovsky , Manish Marwah

Reinforcement learning (RL) post-training is a dominant approach for improving the reasoning performance of large language models (LLMs), yet growing evidence suggests that its gains arise primarily from distribution sharpening rather than…

机器学习 · 计算机科学 2026-01-30 Xiaotong Ji , Rasul Tutunov , Matthieu Zimmer , Haitham Bou Ammar

In this paper, we build and explore supervised learning models of ferromagnetic system behavior, using Monte-Carlo sampling of the spin configuration space generated by the 2D Ising model. Given the enormous size of the space of all…

统计力学 · 物理学 2017-09-06 Nataliya Portman , Isaac Tamblyn

Deep learning is a machine learning approach that produces excellent performance in various applications, including natural language processing, image identification, and forecasting. Deep learning network performance depends on the…

A new approach to maximum likelihood learning of discrete graphical models and RBM in particular is introduced. Our method, Perturb and Descend (PD) is inspired by two ideas (I) perturb and MAP method for sampling (II) learning by…

神经与进化计算 · 计算机科学 2014-05-08 Siamak Ravanbakhsh , Russell Greiner , Brendan Frey

The complexity of glasses makes it challenging to explain their dynamics. Machine Learning (ML) has emerged as a promising pathway for understanding glassy dynamics by linking their structural features to rearrangement dynamics. Support…

软凝聚态物质 · 物理学 2025-02-11 Arabind Swain , Sean Alexander Ridout , Ilya Nemenman

We set up Restricted Boltzmann Machines (RBM) to reproduce the Long Range Ising (LRI) models of the Ohmic type in one dimension. The RBM parameters are tuned by using the standard machine learning procedure with an additional method of…

统计力学 · 物理学 2017-01-03 Ken-Ichi Aoki , Tamao Kobayashi

Deep learning in molecular and materials sciences is limited by the lack of integration between applied science, artificial intelligence, and high-performance computing. Bottlenecks with respect to the amount of training data, the size and…

机器学习 · 计算机科学 2021-12-08 Nathan C. Frey , Siddharth Samsi , Joseph McDonald , Lin Li , Connor W. Coley , Vijay Gadepally

The training process of neural networks is known to be time-consuming, and having a deep architecture only aggravates the issue. This process consists mostly of matrix operations, among which matrix multiplication is the bottleneck. Several…

机器学习 · 计算机科学 2025-06-17 Sana Ebrahimi , Rishi Advani , Abolfazl Asudeh

We introduce an RG-inspired coarse-graining for extracting the collective features of data. The key to successful coarse-graining lies in finding appropriate pairs of data sets. We coarse-grain the two closest data in a regular real-space…

数据分析、统计与概率 · 物理学 2023-07-19 Jonathan Landy , Tsvi Tlusty , YeongKyu Lee , YongSeok Jho

We present a graph-based deep learning framework for predicting the magnetic properties of quasi-one-dimensional Ising spin systems. The lattice geometry is encoded as a graph and processed by a graph neural network (GNN) followed by fully…

无序系统与神经网络 · 物理学 2025-07-24 V. Slavin , O. Kryvchikov , D. Laptev

This paper presents a deep relational metric learning (DRML) framework for image clustering and retrieval. Most existing deep metric learning methods learn an embedding space with a general objective of increasing interclass distances and…

计算机视觉与模式识别 · 计算机科学 2021-08-24 Wenzhao Zheng , Borui Zhang , Jiwen Lu , Jie Zhou

We investigate the Ising model on a spherical surface, utilizing a Fibonacci lattice to approximate uniform coverage. This setup poses challenges in achieving consistent lattice distribution across the sphere for comparison with planar…

计算物理 · 物理学 2025-12-09 Zheng Zhou , Chen-Hui Song , Xu-Yang Hou , Hao Guo

Atomistic simulations hold significant value in clarifying crucial phenomena such as phase transitions and energy transport in materials science. Their success stems from the presence of potential energy functions capable of accurately…

In this study, we computed three critical exponents ($\alpha, \beta, \gamma$) for the 3D Ising model with Metropolis Algorithm using Finite-Size Scaling Analysis on six cube length scales (L=20,30,40,60,80,90), and performed a supervised…

计算物理 · 物理学 2024-11-06 Timothy A. Burt