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Dimensionality reduction is an essential technique for multi-way large-scale data, i.e., tensor. Tensor ring (TR) decomposition has become popular due to its high representation ability and flexibility. However, the traditional TR…

Numerical Analysis · Mathematics 2024-12-20 Longhao Yuan , Chao Li , Jianting Cao , Qibin Zhao

This paper proposes a model-free distribution system state estimation method based on tensor completion using canonical polyadic decomposition. In particular, we consider a setting where the network is divided into multiple areas. The…

Optimization and Control · Mathematics 2022-06-09 Yajing Liu , Ahmed S. Zamzam , Andrey Bernstein

This work considers a computationally and statistically efficient parameter estimation method for a wide class of latent variable models---including Gaussian mixture models, hidden Markov models, and latent Dirichlet allocation---which…

Machine Learning · Computer Science 2014-11-17 Anima Anandkumar , Rong Ge , Daniel Hsu , Sham M. Kakade , Matus Telgarsky

Many studies have applied reinforcement learning to train a dialog policy and show great promise these years. One common approach is to employ a user simulator to obtain a large number of simulated user experiences for reinforcement…

Computation and Language · Computer Science 2020-04-24 Ryuichi Takanobu , Runze Liang , Minlie Huang

Predictive learning uses a known state to generate a future state over a period of time. It is a challenging task to predict spatiotemporal sequence because the spatiotemporal sequence varies both in time and space. The mainstream method is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Haoyu Pan , Hao Wu , Tan Yang

Modelling the behaviours of other agents is essential for understanding how agents interact and making effective decisions. Existing methods for agent modelling commonly assume knowledge of the local observations and chosen actions of the…

Machine Learning · Computer Science 2021-11-10 Georgios Papoudakis , Filippos Christianos , Stefano V. Albrecht

Higher-order tensors have received increased attention across science and engineering. While most tensor decomposition methods are developed for a single tensor observation, scientific studies often collect side information, in the form of…

Methodology · Statistics 2021-10-29 Jiaxin Hu , Chanwoo Lee , Miaoyan Wang

In this paper we explore how concepts of high-dimensional data compression via random projections onto lower-dimensional spaces can be applied for tractable simulation of certain dynamical systems modeling complex interactions. In such…

Dynamical Systems · Mathematics 2011-11-08 Massimo Fornasier , Jan Haskovec , Jan Vybiral

Generative modeling, which learns joint probability distribution from data and generates samples according to it, is an important task in machine learning and artificial intelligence. Inspired by probabilistic interpretation of quantum…

Statistical Mechanics · Physics 2018-07-20 Zhao-Yu Han , Jun Wang , Heng Fan , Lei Wang , Pan Zhang

One of the fundamental challenges in reinforcement learning (RL) is the one of data efficiency: modern algorithms require a very large number of training samples, especially compared to humans, for solving environments with high-dimensional…

Machine Learning · Computer Science 2021-05-10 Hlynur Davíð Hlynsson , Laurenz Wiskott

The power of multivariate functions is their ability to model a wide variety of phenomena, but have the disadvantages that they lack an intuitive or interpretable representation, and often require a (very) large number of parameters. We…

Numerical Analysis · Computer Science 2018-05-23 Philippe Dreesen , Jeroen De Geeter , Mariya Ishteva

We present a representation learning algorithm that learns a low-dimensional latent dynamical system from high-dimensional \textit{sequential} raw data, e.g., video. The framework builds upon recent advances in amortized inference methods…

Machine Learning · Computer Science 2020-01-29 Jung-Su Ha , Young-Jin Park , Hyeok-Joo Chae , Soon-Seo Park , Han-Lim Choi

Recently, model-based agents have achieved better performance than model-free ones using the same computational budget and training time in single-agent environments. However, due to the complexity of multi-agent systems, it is tough to…

Multiagent Systems · Computer Science 2022-12-08 Zhiwei Xu , Dapeng Li , Bin Zhang , Yuan Zhan , Yunpeng Bai , Guoliang Fan

In cooperative multi-agent reinforcement learning (MARL), the environmental stochasticity and uncertainties will increase exponentially when the number of agents increases, which puts hard pressure on how to come up with a compact latent…

Multiagent Systems · Computer Science 2023-05-15 Qingpeng Zhao , Yuanyang Zhu , Zichuan Liu , Zhi Wang , Chunlin Chen

This paper examines the use of tensor networks, which can efficiently represent high-dimensional quantum states, in language modeling. It is a distillation and continuation of the work done in (van der Poel, 2023). To do so, we will…

Machine Learning · Computer Science 2024-03-21 Constantijn van der Poel , Dan Zhao

Nowadays, our mobility systems are evolving into the era of intelligent vehicles that aim to improve road safety. Due to their vulnerability, pedestrians are the users who will benefit the most from these developments. However, predicting…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Lina Achaji , Thierno Barry , Thibault Fouqueray , Julien Moreau , Francois Aioun , Francois Charpillet

This work introduces a tensor-based method to perform supervised classification on spatiotemporal data processed in an echo state network. Typically when performing supervised classification tasks on data processed in an echo state network,…

Machine Learning · Computer Science 2017-08-25 Ashley Prater

We propose a new encoder-decoder approach to learn distributed sentence representations that are applicable to multiple purposes. The model is learned by using a convolutional neural network as an encoder to map an input sentence into a…

Computation and Language · Computer Science 2017-07-28 Zhe Gan , Yunchen Pu , Ricardo Henao , Chunyuan Li , Xiaodong He , Lawrence Carin

Predicting accurate future trajectories of multiple agents is essential for autonomous systems, but is challenging due to the complex agent interaction and the uncertainty in each agent's future behavior. Forecasting multi-agent…

Artificial Intelligence · Computer Science 2021-10-08 Ye Yuan , Xinshuo Weng , Yanglan Ou , Kris Kitani

Modeling time series data remains a pervasive issue as the temporal dimension is inherent to numerous domains. Despite significant strides in time series forecasting, high noise-to-signal ratio, non-normality, non-stationarity, and lack of…

Machine Learning · Computer Science 2024-08-13 Insu Choi , Woosung Koh , Gimin Kang , Yuntae Jang , Woo Chang Kim
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