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In this article we focus on dynamic network data which describe interactions among a fixed population through time. We model this data using the latent space framework, in which the probability of a connection forming is expressed as a…

统计方法学 · 统计学 2021-12-21 Kathryn Turnbull , Christopher Nemeth , Matthew Nunes , Tyler McCormick

We develop a new method which extends Dynamic Mode Decomposition (DMD) to incorporate the effect of control to extract low-order models from high-dimensional, complex systems. DMD finds spatial-temporal coherent modes, connects local-linear…

最优化与控制 · 数学 2014-09-24 Joshua L. Proctor , Steven L. Brunton , J. Nathan Kutz

Temporal link prediction is crucial for rapidly growing social networks. Existing methods often overlook the underlying causal mechanisms that drive link formation, making it difficult for algorithms to adapt to complex structures that…

机器学习 · 计算机科学 2026-05-12 Hantong Feng , Duxin Chen , Wenwu Yu

We introduce a deep, generative autoencoder capable of learning hierarchies of distributed representations from data. Successive deep stochastic hidden layers are equipped with autoregressive connections, which enable the model to be…

机器学习 · 计算机科学 2014-05-21 Karol Gregor , Ivo Danihelka , Andriy Mnih , Charles Blundell , Daan Wierstra

Artificial Neural Networks were recently shown to be an efficient representation of highly-entangled many-body quantum states. In practical applications, neural-network states inherit numerical schemes used in Variational Monte Carlo, most…

无序系统与神经网络 · 物理学 2020-01-22 Or Sharir , Yoav Levine , Noam Wies , Giuseppe Carleo , Amnon Shashua

Recently, methods that represent data as a graph, such as graph neural networks (GNNs) have been successfully used to learn data representations and structures to solve classification and link prediction problems. The applications of such…

机器学习 · 计算机科学 2022-10-04 Usman Mahmood , Zening Fu , Vince Calhoun , Sergey Plis

Convolutional neural networks (CNNs) are deep learning frameworks which are well-known for their notable performance in classification tasks. Hence, many skeleton-based action recognition and segmentation (SBARS) algorithms benefit from…

机器学习 · 计算机科学 2019-11-13 Babak Hosseini , Romain Montagne , Barbara Hammer

Concept Bottleneck Models (CBMs) provide explicit interpretations for deep neural networks through concepts and allow intervention with concepts to adjust final predictions. Existing CBMs assume concepts are conditionally independent given…

机器学习 · 计算机科学 2026-05-04 Haotian Xu , Tsui-Wei Weng , Lam M. Nguyen , Tengfei Ma

We present differentiable predictive control (DPC), a method for learning constrained neural control policies for linear systems with probabilistic performance guarantees. We employ automatic differentiation to obtain direct policy…

系统与控制 · 电气工程与系统科学 2022-01-28 Jan Drgona , Aaron Tuor , Draguna Vrabie

Convergence rate analysis for general state-space Markov chains is fundamentally important in areas such as Markov chain Monte Carlo and algorithmic analysis (for computing explicit convergence bounds). This problem, however, is notoriously…

机器学习 · 计算机科学 2025-07-22 Yanlin Qu , Jose Blanchet , Peter Glynn

With the advancements of sensor hardware, traffic infrastructure and deep learning architectures, trajectory prediction of vehicles has established a solid foundation in intelligent transportation systems. However, existing solutions are…

人工智能 · 计算机科学 2024-11-13 Jia Quan Loh , Xuewen Luo , Fan Ding , Hwa Hui Tew , Junn Yong Loo , Ze Yang Ding , Susilawati Susilawati , Chee Pin Tan

Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

机器学习 · 计算机科学 2021-04-13 Lars Ruthotto , Eldad Haber

We introduce a new type of graphical model called a "cumulative distribution network" (CDN), which expresses a joint cumulative distribution as a product of local functions. Each local function can be viewed as providing evidence about…

机器学习 · 计算机科学 2012-06-18 Jim Huang , Brendan J. Frey

Existing Spatial Interaction Models (SIMs) are limited in capturing the complex and context-aware interactions between business clusters and trade areas. To address the limitation, we propose a SIM-GAT model to predict spatiotemporal…

计量经济学 · 经济学 2024-01-11 Haiyan Hao , Yan Wang

The architectures of deep neural networks (DNN) rely heavily on the underlying grid structure of variables, for instance, the lattice of pixels in an image. For general high dimensional data with variables not associated with a grid, the…

机器学习 · 统计学 2024-08-07 Lixiang Zhang , Lin Lin , Jia Li

A growing body of work has begun to study intervention design for efficient structure learning of causal directed acyclic graphs (DAGs). A typical setting is a causally sufficient setting, i.e. a system with no latent confounders, selection…

Predicting the future paths of an agent's neighbors accurately and in a timely manner is central to the autonomous applications for collision avoidance. Conventional approaches, e.g., LSTM-based models, take considerable computational costs…

计算机视觉与模式识别 · 计算机科学 2021-03-11 Chengxin Wang , Shaofeng Cai , Gary Tan

We propose a first-order autoregressive (i.e. AR(1)) model for dynamic network processes in which edges change over time while nodes remain unchanged. The model depicts the dynamic changes explicitly. It also facilitates simple and…

统计方法学 · 统计学 2022-05-12 Binyan Jiang , Jailing Li , Qiwei Yao

Memory units have been widely used to enrich the capabilities of deep networks on capturing long-term dependencies in reasoning and prediction tasks, but little investigation exists on deep generative models (DGMs) which are good at…

机器学习 · 计算机科学 2016-05-31 Chongxuan Li , Jun Zhu , Bo Zhang

A common problem in time series analysis is to predict dynamics with only scalar or partial observations of the underlying dynamical system. For data on a smooth compact manifold, Takens theorem proves a time delayed embedding of the…

机器学习 · 计算机科学 2023-04-12 Charles D. Young , Michael D. Graham
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