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A stagewise decomposition algorithm called value function gradient learning (VFGL) is proposed for large-scale multistage stochastic convex programs. VFGL finds the parameter values that best fit the gradient of the value function within a…

Optimization and Control · Mathematics 2022-10-06 Jinkyu Lee , Sanghyeon Bae , Woo Chang Kim , Yongjae Lee

Relational Markov Decision Processes are a useful abstraction for complex reinforcement learning problems and stochastic planning problems. Recent work developed representation schemes and algorithms for planning in such problems using the…

Artificial Intelligence · Computer Science 2012-06-26 Chenggang Wang , Roni Khardon

Visual Inertial Odometry (VIO) is one of the most established state estimation methods for mobile platforms. However, when visual tracking fails, VIO algorithms quickly diverge due to rapid error accumulation during inertial data…

Robotics · Computer Science 2023-06-13 Russell Buchanan , Varun Agrawal , Marco Camurri , Frank Dellaert , Maurice Fallon

The tensor-train (TT) decomposition is widely used to compress large tensors into a more compact form by exploiting their inherent data structures. A fundamental approach for constructing the TT format is the well-known TT-SVD method, which…

Numerical Analysis · Mathematics 2026-05-26 Yuchao Wang , Maolin Che , Yimin Wei

The randomized singular value decomposition (SVD) is a popular and effective algorithm for computing a near-best rank $k$ approximation of a matrix $A$ using matrix-vector products with standard Gaussian vectors. Here, we generalize the…

Numerical Analysis · Mathematics 2022-01-24 Nicolas Boullé , Alex Townsend

An efficient Singular Value Decomposition (SVD) algorithm is an important tool for distributed and streaming computation in big data problems. It is observed that update of singular vectors of a rank-1 perturbed matrix is similar to a…

Machine Learning · Computer Science 2017-07-27 Ratnik Gandhi , Amoli Rajgor

In environments with delayed observation, state augmentation by including actions within the delay window is adopted to retrieve Markovian property to enable reinforcement learning (RL). However, state-of-the-art (SOTA) RL techniques with…

Machine Learning · Computer Science 2024-10-23 Qingyuan Wu , Simon Sinong Zhan , Yixuan Wang , Yuhui Wang , Chung-Wei Lin , Chen Lv , Qi Zhu , Chao Huang

We study the policy evaluation problem in multi-agent reinforcement learning, modeled by a Markov decision process. In this problem, the agents operate in a common environment under a fixed control policy, working together to discover the…

Optimization and Control · Mathematics 2020-01-13 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

We present a new deep meta reinforcement learner, which we call Deep Episodic Value Iteration (DEVI). DEVI uses a deep neural network to learn a similarity metric for a non-parametric model-based reinforcement learning algorithm. Our model…

Machine Learning · Statistics 2017-05-11 Steven Stenberg Hansen

Optimizing static risk-averse objectives in Markov decision processes is difficult because they do not admit standard dynamic programming equations common in Reinforcement Learning (RL) algorithms. Dynamic programming decompositions that…

Optimization and Control · Mathematics 2024-07-04 Jia Lin Hau , Erick Delage , Mohammad Ghavamzadeh , Marek Petrik

In this paper, we propose a novel policy iteration method, called dynamic policy programming (DPP), to estimate the optimal policy in the infinite-horizon Markov decision processes. We prove the finite-iteration and asymptotic l\infty-norm…

Machine Learning · Computer Science 2011-09-09 Mohammad Gheshlaghi Azar , Vicenc Gomez , Hilbert J. Kappen

This note provides a simple example demonstrating that, if exact computations are allowed, the number of iterations required for the value iteration algorithm to find an optimal policy for discounted dynamic programming problems may grow…

Artificial Intelligence · Computer Science 2013-12-25 Eugene A. Feinberg , Jefferson Huang

In this paper we present an improved dqds algorithm for computing all the singular values of a bidiagonal matrix to high relative accuracy. There are two key contributions: a novel deflation strategy that improves the convergence for badly…

Numerical Analysis · Mathematics 2014-03-04 Shengguo Li , Ming Gu , Beresford N. Parlett

We consider reinforcement learning in changing Markov Decision Processes where both the state-transition probabilities and the reward functions may vary over time. For this problem setting, we propose an algorithm using a sliding window…

Machine Learning · Computer Science 2018-05-28 Pratik Gajane , Ronald Ortner , Peter Auer

Training deep reinforcement learning agents on environments with multiple levels / scenes from the same task, has become essential for many applications aiming to achieve generalization and domain transfer from simulation to the real world.…

Machine Learning · Computer Science 2021-02-16 Jaskirat Singh , Liang Zheng

This paper presents a way of solving Markov Decision Processes that combines state abstraction and temporal abstraction. Specifically, we combine state aggregation with the options framework and demonstrate that they work well together and…

Artificial Intelligence · Computer Science 2015-01-19 Kamil Ciosek , David Silver

A fairly reliable trend in deep reinforcement learning is that the performance scales with the number of parameters, provided a complimentary scaling in amount of training data. As the appetite for large models increases, it is imperative…

Machine Learning · Computer Science 2023-06-14 Bogdan Mazoure , Walter Talbott , Miguel Angel Bautista , Devon Hjelm , Alexander Toshev , Josh Susskind

Visual-Inertial Odometry (VIO) is a critical component for robust ego-motion estimation, enabling foundational capabilities such as autonomous navigation in robotics and real-time 6-DoF tracking for augmented reality. Existing methods face…

Robotics · Computer Science 2026-03-18 Feiyang Pan , Shenghe Zheng , Chunyan Yin , Guangbin Dou

This paper gives specific divergence examples of value-iteration for several major Reinforcement Learning and Adaptive Dynamic Programming algorithms, when using a function approximator for the value function. These divergence examples…

Machine Learning · Computer Science 2012-07-31 Michael Fairbank , Eduardo Alonso

Long-horizon tasks, which have a large discount factor, pose a challenge for most conventional reinforcement learning (RL) algorithms. Algorithms such as Value Iteration and Temporal Difference (TD) learning have a slow convergence rate and…

Machine Learning · Computer Science 2024-09-04 Mark Bedaywi , Amin Rakhsha , Amir-massoud Farahmand
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