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Understanding real-world dynamical phenomena remains a challenging task. Across various scientific disciplines, machine learning has advanced as the go-to technology to analyze nonlinear dynamical systems, identify patterns in big data, and…

Machine Learning · Computer Science 2022-12-07 Kevin Linka , Amelie Schafer , Xuhui Meng , Zongren Zou , George Em Karniadakis , Ellen Kuhl

Latent space models are popular for analyzing dynamic network data. We propose a variational approach to estimate the model parameters as well as the latent positions of the nodes in the network. The variational approach is much faster than…

Methodology · Statistics 2021-06-01 Yan Liu , Yuguo Chen

Deep Neural Networks (DNNs) have achieved state-of-the-art accuracy performance in many tasks. However, recent works have pointed out that the outputs provided by these models are not well-calibrated, seriously limiting their use in…

Machine Learning · Computer Science 2020-07-16 Juan Maroñas , Roberto Paredes , Daniel Ramos

A new dynamic latent space eigenmodel (LSM) is proposed for weighted temporal networks. The model accommodates integer-valued weights, excess of zeros, time-varying node positions (features), and time-varying network sparsity. The latent…

Methodology · Statistics 2026-04-15 Roberto Casarin , Matteo Iacopini , Antonio Peruzzi

In this paper, we propose the Deep Structured self-Driving Network (DSDNet), which performs object detection, motion prediction, and motion planning with a single neural network. Towards this goal, we develop a deep structured energy based…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Wenyuan Zeng , Shenlong Wang , Renjie Liao , Yun Chen , Bin Yang , Raquel Urtasun

Although deep learning models have achieved state-of-the-art performance on a number of vision tasks, generalization over high dimensional multi-modal data, and reliable predictive uncertainty estimation are still active areas of research.…

Machine Learning · Computer Science 2020-12-10 Samarth Sinha , Homanga Bharadhwaj , Anirudh Goyal , Hugo Larochelle , Animesh Garg , Florian Shkurti

Deep learning has seen increasing applications in time series in recent years. For time series anomaly detection scenarios, such as in finance, Internet of Things, data center operations, etc., time series usually show very flexible…

Machine Learning · Computer Science 2022-10-11 Cheng Ge , Xi Chen , Ming Wang , Jin Wang

We present a novel adversarial framework for training deep belief networks (DBNs), which includes replacing the generator network in the methodology of generative adversarial networks (GANs) with a DBN and developing a highly parallelizable…

Machine Learning · Computer Science 2019-09-26 Yuming Huang , Ashkan Panahi , Hamid Krim , Yiyi Yu , Spencer L. Smith

As data size and computing power increase, the architectures of deep neural networks (DNNs) have been getting more complex and huge, and thus there is a growing need to simplify such complex and huge DNNs. In this paper, we propose a novel…

Machine Learning · Statistics 2023-05-24 Insung Kong , Dongyoon Yang , Jongjin Lee , Ilsang Ohn , Yongdai Kim

Effective network state classification is a primary task for ensuring network security and optimizing performance. Existing deep learning models have shown considerable progress in this area. Some methods excel at analyzing the complex…

Machine Learning · Computer Science 2025-09-16 Yuan Gao , Xuelong Wang , Zhenguo Dong , Yong Zhang

This paper focuses on modeling the dynamic attributes of a dynamic network with a fixed number of vertices. These attributes are considered as time series which dependency structure is influenced by the underlying network. They are modeled…

Methodology · Statistics 2019-11-11 Jonas Krampe

Deep learning is a form of machine learning for nonlinear high dimensional pattern matching and prediction. By taking a Bayesian probabilistic perspective, we provide a number of insights into more efficient algorithms for optimisation and…

Machine Learning · Statistics 2018-01-23 Nicholas Polson , Vadim Sokolov

Dimension reduction is a common strategy to study non-linear dynamical systems composed by a large number of variables. The goal is to find a smaller version of the system whose time evolution is easier to predict while preserving some of…

Dynamical Systems · Mathematics 2022-06-23 Marina Vegué , Vincent Thibeault , Patrick Desrosiers , Antoine Allard

Feature propagation in Deep Neural Networks (DNNs) can be associated to nonlinear discrete dynamical systems. The novelty, in this paper, lies in letting the discretization parameter (time step-size) vary from layer to layer, which needs to…

Optimization and Control · Mathematics 2022-04-20 Harbir Antil , Hugo Díaz , Evelyn Herberg

Network embedding is a very important method for network data. However, most of the algorithms can only deal with static networks. In this paper, we propose an algorithm Recurrent Neural Network Embedding (RNNE) to deal with dynamic…

Machine Learning · Computer Science 2020-07-01 Haiwei Huang , Jinlong Li , Huimin He , Huanhuan Chen

Bayesian interpretations of neural network have a long history, dating back to early work in the 1990's and have recently regained attention because of their desirable properties like uncertainty estimation, model robustness and…

Machine Learning · Statistics 2019-12-03 Jack K Fitzsimons , Sebastian M Schmon , Stephen J Roberts

Deep convolutional neural networks (DCNNs) have dominated the recent developments in computer vision through making various record-breaking models. However, it is still a great challenge to achieve powerful DCNNs in resource-limited…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Jiaxin Gu , Junhe Zhao , Xiaolong Jiang , Baochang Zhang , Jianzhuang Liu , Guodong Guo , Rongrong Ji

We develop the necessary theory in computational algebraic geometry to place Bayesian networks into the realm of algebraic statistics. We present an algebra{statistics dictionary focused on statistical modeling. In particular, we link the…

Machine Learning · Computer Science 2012-07-19 Luis David Garcia

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

Social and Information Networks · Computer Science 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

We introduce a class of neural networks derived from probabilistic models in the form of Bayesian belief networks. By imposing additional assumptions about the nature of the probabilistic models represented in the belief networks, we derive…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. J. Barber , J. W. Clark , C. H. Anderson
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