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In model-free reinforcement learning, the temporal difference method and its variants become unstable when combined with nonlinear function approximations. Bellman residual minimization with stochastic gradient descent (SGD) is more stable,…

Optimization and Control · Mathematics 2020-06-12 Yuhua Zhu , Zach Izzo , Lexing Ying

In reinforcement learning, temporal difference-based algorithms can be sample-inefficient: for instance, with sparse rewards, no learning occurs until a reward is observed. This can be remedied by learning richer objects, such as a model of…

Machine Learning · Computer Science 2021-01-19 Léonard Blier , Corentin Tallec , Yann Ollivier

Bilevel Optimization has experienced significant advancements recently with the introduction of new efficient algorithms. Mirroring the success in single-level optimization, stochastic gradient-based algorithms are widely used in bilevel…

Optimization and Control · Mathematics 2024-11-12 Junyi Li , Heng Huang

Modern retrieval problems are characterised by training sets with potentially billions of labels, and heterogeneous data distributions across subpopulations (e.g., users of a retrieval system may be from different countries), each of which…

Machine Learning · Computer Science 2020-04-24 Ankit Singh Rawat , Aditya Krishna Menon , Andreas Veit , Felix Yu , Sashank J. Reddi , Sanjiv Kumar

State abstraction has been an essential tool for dramatically improving the sample efficiency of reinforcement-learning algorithms. Indeed, by exposing and accentuating various types of latent structure within the environment, different…

Machine Learning · Computer Science 2021-06-18 Dilip Arumugam , Benjamin Van Roy

Existing data-free model stealing methods use a generator to produce samples in order to train a student model to match the target model outputs. To this end, the two main challenges are estimating gradients of the target model without…

Machine Learning · Computer Science 2023-09-20 James Beetham , Navid Kardan , Ajmal Mian , Mubarak Shah

Many machine learning tasks, such as learning with invariance and policy evaluation in reinforcement learning, can be characterized as problems of learning from conditional distributions. In such problems, each sample $x$ itself is…

Machine Learning · Computer Science 2017-01-03 Bo Dai , Niao He , Yunpeng Pan , Byron Boots , Le Song

We consider the problem of online reinforcement learning for the Stochastic Shortest Path (SSP) problem modeled as an unknown MDP with an absorbing state. We propose PSRL-SSP, a simple posterior sampling-based reinforcement learning…

Machine Learning · Computer Science 2021-06-11 Mehdi Jafarnia-Jahromi , Liyu Chen , Rahul Jain , Haipeng Luo

Stochastic gradient descent (SGD) provides a simple and efficient way to solve a broad range of machine learning problems. Here, we focus on distribution regression (DR), involving two stages of sampling: Firstly, we regress from…

Machine Learning · Statistics 2021-03-08 Nicole Mücke

Backpropagation with gradient descent is a common optimization strategy employed by most neural network architectures in machine learning. However, finding optimal hyperparameters to guide training has proven challenging. While it is widely…

Machine Learning · Computer Science 2026-05-20 Vy Bui , Hang Yu , Karthik Kantipudi , Ziv Yaniv , Stefan Jaeger

This paper considers a class of reinforcement learning problems, which involve systems with two types of states: stochastic and pseudo-stochastic. In such systems, stochastic states follow a stochastic transition kernel while the…

Machine Learning · Computer Science 2023-11-09 Honghao Wei , Xin Liu , Weina Wang , Lei Ying

Reinforcement Learning (RL) problems are being considered under increasingly more complex structures. While tabular and linear models have been thoroughly explored, the analytical study of RL under nonlinear function approximation,…

Machine Learning · Computer Science 2025-09-12 Aya Kayal , Sattar Vakili , Laura Toni , Alberto Bernacchia

Most existing neural network-based approaches for solving stochastic optimal control problems using the associated backward dynamic programming principle rely on the ability to simulate the underlying state variables. However, in some…

Machine Learning · Statistics 2024-01-30 Christian Yeo

In the near future, robots are expected to work with humans or operate alone and may replace human workers in various fields such as homes and factories. In a previous study, we proposed bilateral control-based imitation learning that…

Robotics · Computer Science 2022-02-14 Kazuki Hayashi , Ayumu Sasagawa , Sho Sakaino , Toshiaki Tsuji

Despite its experimental success, Model-based Reinforcement Learning still lacks a complete theoretical understanding. To this end, we analyze the error in the cumulative reward using a contraction approach. We consider both stochastic and…

Machine Learning · Computer Science 2021-02-26 Ting-Han Fan , Peter J. Ramadge

We describe a new approach for managing aleatoric uncertainty in the Reinforcement Learning (RL) paradigm. Instead of selecting actions according to a single statistic, we propose a distributional method based on the second-order stochastic…

Machine Learning · Computer Science 2020-10-08 John D. Martin , Michal Lyskawinski , Xiaohu Li , Brendan Englot

The distribution regression problem encompasses many important statistics and machine learning tasks, and arises in a large range of applications. Among various existing approaches to tackle this problem, kernel methods have become a method…

Statistics Theory · Mathematics 2025-09-22 François Bachoc , Louis Béthune , Alberto González-Sanz , Jean-Michel Loubes

Scheduled sampling is a technique for avoiding one of the known problems in sequence-to-sequence generation: exposure bias. It consists of feeding the model a mix of the teacher forced embeddings and the model predictions from the previous…

Computation and Language · Computer Science 2019-06-28 Tsvetomila Mihaylova , André F. T. Martins

Autonomous machine learning systems that learn many tasks in sequence are prone to the catastrophic forgetting problem. Mathematical theory is needed in order to understand the extent of forgetting during continual learning. As a…

Machine Learning · Computer Science 2025-02-18 Daniel Goldfarb , Paul Hand

It has been found that stochastic algorithms often find good solutions much more rapidly than inherently-batch approaches. Indeed, a very useful rule of thumb is that often, when solving a machine learning problem, an iterative technique…

Machine Learning · Computer Science 2013-08-19 Andrew Cotter
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