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Representation learning methods for heterogeneous networks produce a low-dimensional vector embedding for each node that is typically fixed for all tasks involving the node. Many of the existing methods focus on obtaining a static vector…

机器学习 · 计算机科学 2021-04-28 Ping Wang , Khushbu Agarwal , Colby Ham , Sutanay Choudhury , Chandan K. Reddy

Recent years have seen an increasing popularity of learning the sparse \emph{changes} in Markov Networks. Changes in the structure of Markov Networks reflect alternations of interactions between random variables under different regimes and…

机器学习 · 统计学 2017-01-10 Song Liu , Kenji Fukumizu , Taiji Suzuki

Recovering dynamical equations from observed noisy data is the central challenge of system identification. We develop a statistical mechanics approach to analyze sparse equation discovery algorithms, which typically balance data fit and…

统计力学 · 物理学 2025-09-16 Andrei A. Klishin , Joseph Bakarji , J. Nathan Kutz , Krithika Manohar

Dynamical systems are typically governed by a set of linear/nonlinear differential equations. Distilling the analytical form of these equations from very limited data remains intractable in many disciplines such as physics, biology, climate…

机器学习 · 计算机科学 2021-05-18 Fangzheng Sun , Yang Liu , Hao Sun

Improvements in the performance of deep neural networks have often come through the design of larger and more complex networks. As a result, fast memory is a significant limiting factor in our ability to improve network performance. One…

机器学习 · 计算机科学 2019-12-25 Simon Alford , Ryan Robinett , Lauren Milechin , Jeremy Kepner

We propose a general framework to extract microscopic interactions from raw configurations with deep neural networks. The approach replaces the modeling Hamiltonian by the neural networks, in which the interaction is encoded. It can be…

计算物理 · 物理学 2020-08-19 Lingxiao Wang , Yin Jiang , Kai Zhou

Inferring the structure and dynamics of network models is critical to understanding the functionality and control of complex systems, such as metabolic and regulatory biological networks. The increasing quality and quantity of experimental…

动力系统 · 数学 2016-05-27 Niall M. Mangan , Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Graphical modelling techniques based on sparse selection have been applied to infer complex networks in many fields, including biology and medicine, engineering, finance, and social sciences. One structural feature of some of the networks…

统计理论 · 数学 2020-03-03 Annaliza McGillivray , Abbas Khalili , David A. Stephens

We present a novel approach to system identification (SI) using deep learning techniques. Focusing on parametric system identification (PSI), we use a supervised learning approach for estimating the parameters of discrete and…

系统与控制 · 电气工程与系统科学 2023-06-21 Connor James Stephens , Emmanuel Blazquez

This paper introduces sparse dynamic chain graph models for network inference in high dimensional non-Gaussian time series data. The proposed method parametrized by a precision matrix that encodes the intra time-slice conditional…

统计方法学 · 统计学 2018-05-28 Pariya Behrouzi , Fentaw Abegaz , Ernst C. Wit

We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

统计力学 · 物理学 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

Efficiently selecting an appropriate spike stream data length to extract precise information is the key to the spike vision tasks. To address this issue, we propose a dynamic timing representation for spike streams. Based on multi-layers…

计算机视觉与模式识别 · 计算机科学 2023-07-13 Lujie Xia , Ziluo Ding , Rui Zhao , Jiyuan Zhang , Lei Ma , Zhaofei Yu , Tiejun Huang , Ruiqin Xiong

Long training times of deep neural networks are a bottleneck in machine learning research. The major impediment to fast training is the quadratic growth of both memory and compute requirements of dense and convolutional layers with respect…

机器学习 · 计算机科学 2020-02-20 Mihailo Isakov , Michel A. Kinsy

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

系统与控制 · 计算机科学 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

Activity or spin patterns on random scale-free network are studied by mean field analysis and computer simulations. These activity patterns evolve in time according to local majority-rule dynamics which is implemented using (i) parallel or…

无序系统与神经网络 · 物理学 2007-05-23 Haijun Zhou , Reinhard Lipowsky

We propose a new approach for metric learning by framing it as learning a sparse combination of locally discriminative metrics that are inexpensive to generate from the training data. This flexible framework allows us to naturally derive…

机器学习 · 计算机科学 2019-01-25 Yuan Shi , Aurélien Bellet , Fei Sha

This paper is concerned with the estimation of time-varying networks for high-dimensional nonstationary time series. Two types of dynamic behaviors are considered: structural breaks (i.e., abrupt change points) and smooth changes. To…

统计理论 · 数学 2020-02-19 Mengyu Xu , Xiaohui Chen , Wei Biao Wu

Inference and optimization of real-value edge variables in sparse graphs are studied using the Bethe approximation and replica method of statistical physics. Equilibrium states of general energy functions involving a large set of real…

无序系统与神经网络 · 物理学 2009-11-11 K. Y. Michael Wong , D. Saad

We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simulating nine state-of-the-art random graph models for dynamic…

社会与信息网络 · 计算机科学 2024-05-28 Lourens Touwen , Doina Bucur , Remco van der Hofstad , Alessandro Garavaglia , Nelly Litvak

Network (or graph) sparsification compresses a graph by removing inessential edges. By reducing the data volume, it accelerates or even facilitates many downstream analyses. Still, the accuracy of many sparsification methods, with…

社会与信息网络 · 计算机科学 2023-09-28 Zhen Su , Jürgen Kurths , Henning Meyerhenke