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This work provides test error bounds for iterative fixed point methods on linear predictors -- specifically, stochastic and batch mirror descent (MD), and stochastic temporal difference learning (TD) -- with two core contributions: (a) a…

Machine Learning · Computer Science 2022-06-29 Matus Telgarsky

The so-called block-term decomposition (BTD) tensor model, especially in its rank-$(L_r,L_r,1)$ version, has been recently receiving increasing attention due to its enhanced ability of representing systems and signals that are composed of…

Numerical Analysis · Mathematics 2021-06-30 Athanasios A. Rontogiannis , Eleftherios Kofidis , Paris V. Giampouras

Reinforcement learning with function approximation has recently achieved tremendous results in applications with large state spaces. This empirical success has motivated a growing body of theoretical work proposing necessary and sufficient…

Machine Learning · Computer Science 2022-07-05 Daniel Kane , Sihan Liu , Shachar Lovett , Gaurav Mahajan

Nowadays, algorithms with fast convergence, small memory footprints, and low per-iteration complexity are particularly favorable for artificial intelligence applications. In this paper, we propose a doubly stochastic algorithm with a novel…

Machine Learning · Computer Science 2023-04-25 Zebang Shen , Hui Qian , Tongzhou Mu , Chao Zhang

Building deep reinforcement learning (RL) agents that find a good policy with few samples has proven notoriously challenging. To achieve sample efficiency, recent work has explored updating neural networks with large numbers of gradient…

Machine Learning · Computer Science 2025-04-04 Claas A Voelcker , Marcel Hussing , Eric Eaton , Amir-massoud Farahmand , Igor Gilitschenski

The use of target networks has been a popular and key component of recent deep Q-learning algorithms for reinforcement learning, yet little is known from the theory side. In this work, we introduce a new family of target-based temporal…

Machine Learning · Computer Science 2019-09-24 Donghwan Lee , Niao He

Deep reinforcement learning (RL) agents that exist in high-dimensional state spaces, such as those composed of images, have interconnected learning burdens. Agents must learn an action-selection policy that completes their given task, which…

Machine Learning · Computer Science 2021-10-12 Trevor McInroe , Lukas Schäfer , Stefano V. Albrecht

We present a computational framework for synthesis of distributed control strategies for a heterogeneous team of robots in a partially observable environment. The goal is to cooperatively satisfy specifications given as Truncated Linear…

Artificial Intelligence · Computer Science 2022-04-07 Ningyuan Zhang , Wenliang Liu , Calin Belta

The fluctuation effect of gradient expectation and variance caused by parameter update between consecutive iterations is neglected or confusing by current mainstream gradient optimization algorithms.Using this fluctuation effect, combined…

Machine Learning · Statistics 2022-02-23 Aixiang , Chen , Jinting Zhang , Zanbo Zhang , Zhihong Li

We consider the question of learning $Q$-function in a sample efficient manner for reinforcement learning with continuous state and action spaces under a generative model. If $Q$-function is Lipschitz continuous, then the minimal sample…

Machine Learning · Computer Science 2020-06-12 Devavrat Shah , Dogyoon Song , Zhi Xu , Yuzhe Yang

Exemplar-based class-incremental learning is to recognize new classes while not forgetting old ones, whose samples can only be saved in limited memory. The ratio fluctuation of new samples to old exemplars, which is caused by the variation…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Zhiheng Liu , Kai Zhu , Yang Cao

Recurrent Neural Networks and in particular Long Short-Term Memory (LSTM) networks have demonstrated state-of-the-art accuracy in several emerging Artificial Intelligence tasks. However, the models are becoming increasingly demanding in…

Computer Vision and Pattern Recognition · Computer Science 2018-01-10 Michalis Rizakis , Stylianos I. Venieris , Alexandros Kouris , Christos-Savvas Bouganis

Composite convex optimization problems which include both a nonsmooth term and a low-rank promoting term have important applications in machine learning and signal processing, such as when one wishes to recover an unknown matrix that is…

Machine Learning · Computer Science 2018-09-28 Dan Garber , Atara Kaplan

Temporal difference (TD) learning is a policy evaluation in reinforcement learning whose performance can be enhanced by variance reduction methods. Recently, multiple works have sought to fuse TD learning with Stochastic Variance Reduced…

Machine Learning · Computer Science 2024-08-07 Arsenii Mustafin , Alex Olshevsky , Ioannis Ch. Paschalidis

The goal of temporal alignment is to establish time correspondence between two sequences, which has many applications in a variety of areas such as speech processing, bioinformatics, computer vision, and computer graphics. In this paper, we…

Machine Learning · Statistics 2012-06-20 Makoto Yamada , Leonid Sigal , Michalis Raptis , Masashi Sugiyama

Multi-task representation learning (MTRL) is an approach that learns shared latent representations across related tasks, facilitating collaborative learning that improves the overall learning efficiency. This paper studies MTRL for…

Machine Learning · Computer Science 2026-04-07 Yaoze Guo , Shana Moothedath

The practicality of reinforcement learning algorithms has been limited due to poor scaling with respect to the problem size, as the sample complexity of learning an $\epsilon$-optimal policy is $\tilde{\Omega}\left(|S||A|H^3 /…

Machine Learning · Computer Science 2023-06-12 Tyler Sam , Yudong Chen , Christina Lee Yu

Total least squares (TLS) methods have been widely used in data fitting. Compared with the least squares method, for TLS problem we takes into account not only the observation errors, but also the errors in the measurement matrix. This is…

Numerical Analysis · Mathematics 2022-05-03 Qian Zuo , Yimin Wei , Hua Xiang

Given a dataset on actions and resulting long-term rewards, a direct estimation approach fits value functions that minimize prediction error on the training data. Temporal difference learning (TD) methods instead fit value functions by…

Machine Learning · Computer Science 2024-02-15 David Cheikhi , Daniel Russo

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

Machine Learning · Statistics 2019-12-10 Biyi Fang , Diego Klabjan