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A challenge in multi-agent reinforcement learning is to be able to generalize over intractable state-action spaces. Inspired from Tesseract [Mahajan et al., 2021], this position paper investigates generalisation in state-action space over…

Machine Learning · Computer Science 2021-10-28 Pascal Van Der Vaart , Anuj Mahajan , Shimon Whiteson

Recently it has been shown that tensor networks (TNs) have the ability to represent the expected return of a single-agent finite Markov decision process (FMDP). The TN represents a distribution model, where all possible trajectories are…

Machine Learning · Computer Science 2024-01-09 Sunny Howard

Modeling dynamical systems, both for control purposes and to make predictions about their behavior, is ubiquitous in science and engineering. Predictive state representations (PSRs) are a recently introduced class of models for…

Artificial Intelligence · Computer Science 2012-07-19 Satinder Singh , Michael James , Matthew Rudary

In this paper, we tackle the problem of transferring policy from multiple partially observable source environments to a partially observable target environment modeled as predictive state representation. This is an entirely new approach…

Machine Learning · Computer Science 2017-02-09 Sri Ramana Sekharan , Ramkumar Natarajan , Siddharthan Rajasekaran

Predictive State Representations (PSRs) are powerful techniques for modelling dynamical systems, which represent a state as a vector of predictions about future observable events (tests). In PSRs, one of the fundamental problems is the…

Machine Learning · Computer Science 2016-12-30 Yunlong Liu , Hexing Zhu

Predictive state representations (PSRs) offer an expressive framework for modelling partially observable systems. By compactly representing systems as functions of observable quantities, the PSR learning approach avoids using local-minima…

Machine Learning · Computer Science 2014-07-22 William L. Hamilton , Mahdi Milani Fard , Joelle Pineau

The transition kernel of a continuous-state-action Markov decision process (MDP) admits a natural tensor structure. This paper proposes a tensor-inspired unsupervised learning method to identify meaningful low-dimensional state and action…

Machine Learning · Statistics 2023-02-21 Chengzhuo Ni , Yaqi Duan , Munther Dahleh , Anru Zhang , Mengdi Wang

We present a new model, Predictive State Recurrent Neural Networks (PSRNNs), for filtering and prediction in dynamical systems. PSRNNs draw on insights from both Recurrent Neural Networks (RNNs) and Predictive State Representations (PSRs),…

Machine Learning · Statistics 2017-06-20 Carlton Downey , Ahmed Hefny , Boyue Li , Byron Boots , Geoffrey Gordon

Recurrent neural networks (RNNs) are a vital modeling technique that rely on internal states learned indirectly by optimization of a supervised, unsupervised, or reinforcement training loss. RNNs are used to model dynamic processes that are…

We present a tensorization algorithm for constructing tensor train/matrix product state (MPS) representations of functions, drawing on sketching and cross interpolation ideas. The method only requires black-box access to the target function…

Numerical Analysis · Mathematics 2026-01-21 José Ramón Pareja Monturiol , Alejandro Pozas-Kerstjens , David Pérez-García

Representation learning often plays a critical role in reinforcement learning by managing the curse of dimensionality. A representative class of algorithms exploits a spectral decomposition of the stochastic transition dynamics to construct…

Machine Learning · Computer Science 2023-03-08 Tongzheng Ren , Tianjun Zhang , Lisa Lee , Joseph E. Gonzalez , Dale Schuurmans , Bo Dai

Central to all machine learning algorithms is data representation. For multi-agent systems, selecting a representation which adequately captures the interactions among agents is challenging due to the latent group structure which tends to…

Machine Learning · Computer Science 2020-01-01 Jennifer Hobbs , Matthew Holbrook , Nathan Frank , Long Sha , Patrick Lucey

We are interested in enabling autonomous agents to learn and reason about systems with hidden states, such as locking mechanisms. We cast this problem as learning the parameters of a discrete Partially Observable Markov Decision Process…

Machine Learning · Computer Science 2026-02-04 Seiji Shaw , Travis Manderson , Chad Kessens , Nicholas Roy

The widespread use of multisensor technology and the emergence of big data sets have brought the necessity to develop more versatile tools to represent higher-order data with multiple aspects and high dimensionality. Data in the form of…

Signal Processing · Electrical Eng. & Systems 2018-06-27 Ali Zare , Alp Ozdemir , Mark A. Iwen , Selin Aviyente

In this paper we study online Reinforcement Learning (RL) in partially observable dynamical systems. We focus on the Predictive State Representations (PSRs) model, which is an expressive model that captures other well-known models such as…

Machine Learning · Computer Science 2022-08-16 Wenhao Zhan , Masatoshi Uehara , Wen Sun , Jason D. Lee

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

Machine Learning · Computer Science 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

How an agent can act optimally in stochastic, partially observable domains is a challenge problem, the standard approach to address this issue is to learn the domain model firstly and then based on the learned model to find the (near)…

Artificial Intelligence · Computer Science 2019-06-13 Yunlong Liu , Jianyang Zheng

Numerous complex real-world systems, such as those in biological, ecological, and social networks, exhibit higher-order interactions that are often modeled using polynomial dynamical systems or homogeneous polynomial dynamical systems…

Dynamical Systems · Mathematics 2025-03-25 Xin Mao , Anqi Dong , Ziqin He , Yidan Mei , Shenghan Mei , Can Chen

Dimensionality reduction is an effective method for learning high-dimensional data, which can provide better understanding of decision boundaries in human-readable low-dimensional subspace. Linear methods, such as principal component…

Machine Learning · Computer Science 2020-07-09 Koji Maruhashi , Heewon Park , Rui Yamaguchi , Satoru Miyano

Accurate prediction of others' trajectories is essential for autonomous driving. Trajectory prediction is challenging because it requires reasoning about agents' past movements, social interactions among varying numbers and kinds of agents,…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Tianyang Zhao , Yifei Xu , Mathew Monfort , Wongun Choi , Chris Baker , Yibiao Zhao , Yizhou Wang , Ying Nian Wu
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