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We provide general adaptive upper bounds for estimating nonparametric functionals based on second order U-statistics arising from finite dimensional approximation of the infinite dimensional models. We then provide examples of functionals…

Statistics Theory · Mathematics 2021-06-07 Lin Liu , Rajarshi Mukherjee , James Robins , Eric Tchetgen Tchetgen

Reinforcement learning is a general technique that allows an agent to learn an optimal policy and interact with an environment in sequential decision making problems. The goodness of a policy is measured by its value function starting from…

Machine Learning · Statistics 2025-06-30 C. Shi , S. Zhang , W. Lu , R. Song

The performance of a reinforcement learning (RL) system depends on the computational architecture used to approximate a value function. Deep learning methods provide both optimization techniques and architectures for approximating nonlinear…

Machine Learning · Computer Science 2021-06-21 John D. Martin , Joseph Modayil

We extend the varying coefficient functional linear model to the nonlinear model and propose a varying coefficient functional additive model. The proposed method can represent the relationship between functional predictors and a scalar…

Methodology · Statistics 2020-05-27 Hidetoshi Matsui

A key assumption in the theory of nonlinear adaptive control is that the uncertainty of the system can be expressed in the linear span of a set of known basis functions. While this assumption leads to efficient algorithms, it limits…

Optimization and Control · Mathematics 2022-08-26 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine

Value-function (VF) approximation is a central problem in Reinforcement Learning (RL). Classical non-parametric VF estimation suffers from the curse of dimensionality. As a result, parsimonious parametric models have been adopted to…

Machine Learning · Computer Science 2024-05-29 Sergio Rozada , Santiago Paternain , Antonio G. Marques

Recent years have witnessed the widespread adoption of reinforcement learning (RL), from solving real-time games to fine-tuning large language models using human preference data significantly improving alignment with user expectations.…

Machine Learning · Computer Science 2026-04-01 Bodla Krishna Vamshi , Haizhao Yang

This paper introduces a new method for inverse reinforcement learning in large-scale and high-dimensional state spaces. To avoid solving the computationally expensive reinforcement learning problems in reward learning, we propose a function…

Machine Learning · Computer Science 2017-08-15 Kun Li , Joel W. Burdick

Value functions are central to Dynamic Programming and Reinforcement Learning but their exact estimation suffers from the curse of dimensionality, challenging the development of practical value-function (VF) estimation algorithms. Several…

Artificial Intelligence · Computer Science 2021-04-20 Sergio Rozada , Victor Tenorio , Antonio G. Marques

Recent efforts in Machine Learning (ML) interpretability have focused on creating methods for explaining black-box ML models. However, these methods rely on the assumption that simple approximations, such as linear models or decision-trees,…

Machine Learning · Computer Science 2019-06-13 Owen Lahav , Nicholas Mastronarde , Mihaela van der Schaar

Model-free reinforcement learning algorithms combined with value function approximation have recently achieved impressive performance in a variety of application domains. However, the theoretical understanding of such algorithms is limited,…

Machine Learning · Computer Science 2021-02-12 Botao Hao , Nevena Lazic , Yasin Abbasi-Yadkori , Pooria Joulani , Csaba Szepesvari

To tackle interpretability in deep learning, we present a novel framework to jointly learn a predictive model and its associated interpretation model. The interpreter provides both local and global interpretability about the predictive…

Machine Learning · Computer Science 2022-02-24 Jayneel Parekh , Pavlo Mozharovskyi , Florence d'Alché-Buc

Recent advances in Reinforcement Learning (RL) largely benefit from the inclusion of Deep Neural Networks, boosting the number of novel approaches proposed in the field of Deep Reinforcement Learning (DRL). These techniques demonstrate the…

Machine Learning · Computer Science 2025-07-30 Giovanni Dispoto , Paolo Bonetti , Marcello Restelli

Deep reinforcement learning (RL) has recently led to many breakthroughs on a range of complex control tasks. However, the agent's decision-making process is generally not transparent. The lack of interpretability hinders the applicability…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Wenjie Shi , Gao Huang , Shiji Song , Zhuoyuan Wang , Tingyu Lin , Cheng Wu

Multi-agent robotic systems are increasingly operating in real-world environments in close proximity to humans, yet are largely controlled by policy models with inscrutable deep neural network representations. We introduce a method for…

Machine Learning · Computer Science 2023-02-24 Renos Zabounidis , Joseph Campbell , Simon Stepputtis , Dana Hughes , Katia Sycara

This paper adds to the growing literature of reinforcement learning (RL) for healthcare by proposing a novel paradigm: augmenting any predictor with Rule-based RL Layer (RRLL) that corrects the model's physiologically impossible…

Machine Learning · Computer Science 2025-02-03 Lingwei Zhu , Zheng Chen , Yukie Nagai , Jimeng Sun

Deep neural networks (DNNs) have shown exceptional performances in a wide range of tasks and have become the go-to method for problems requiring high-level predictive power. There has been extensive research on how DNNs arrive at their…

Machine Learning · Computer Science 2023-02-21 Mattias Luber , Anton Thielmann , Benjamin Säfken

We consider the problem of recovering of continuous multi-dimensional functions from the noisy observations over the regular grid. Our focus is at the adaptive estimation in the case when the function can be well recovered using a linear…

Statistics Theory · Mathematics 2009-03-06 Anatoli Iouditski , Arkadii S. Nemirovski

Semi-structured networks (SSNs) merge the structures familiar from additive models with deep neural networks, allowing the modeling of interpretable partial feature effects while capturing higher-order non-linearities at the same time. A…

Machine Learning · Computer Science 2024-10-15 David Rügamer , Bernard X. W. Liew , Zainab Altai , Almond Stöcker

We propose a novel Reinforcement Learning model for discrete environments, which is inherently interpretable and supports the discovery of deep subgoal hierarchies. In the model, an agent learns information about environment in the form of…

Artificial Intelligence · Computer Science 2022-02-16 Alexander Demin , Denis Ponomaryov
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