Provable Interactive Learning with Hindsight Instruction Feedback

Fuente: arXiv
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Auteurs principaux: Misra, Dipendra, Pacchiano, Aldo, Schapire, Robert E.
Format: Preprint
Publié: 2024
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author Misra, Dipendra
Pacchiano, Aldo
Schapire, Robert E.
author_facet Misra, Dipendra
Pacchiano, Aldo
Schapire, Robert E.
contents We study interactive learning in a setting where the agent has to generate a response (e.g., an action or trajectory) given a context and an instruction. In contrast, to typical approaches that train the system using reward or expert supervision on response, we study learning with hindsight instruction where a teacher provides an instruction that is most suitable for the agent's generated response. This hindsight labeling of instruction is often easier to provide than providing expert supervision of the optimal response which may require expert knowledge or can be impractical to elicit. We initiate the theoretical analysis of interactive learning with hindsight labeling. We first provide a lower bound showing that in general, the regret of any algorithm must scale with the size of the agent's response space. We then study a specialized setting where the underlying instruction-response distribution can be decomposed as a low-rank matrix. We introduce an algorithm called LORIL for this setting and show that its regret scales as $\sqrt{T}$ where $T$ is the number of rounds and depends on the intrinsic rank but does not depend on the size of the agent's response space. We provide experiments in two domains showing that LORIL outperforms baselines even when the low-rank assumption is violated.
format Preprint
id arxiv_https___arxiv_org_abs_2404_09123
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Provable Interactive Learning with Hindsight Instruction Feedback
Misra, Dipendra
Pacchiano, Aldo
Schapire, Robert E.
Machine Learning
Artificial Intelligence
Computation and Language
We study interactive learning in a setting where the agent has to generate a response (e.g., an action or trajectory) given a context and an instruction. In contrast, to typical approaches that train the system using reward or expert supervision on response, we study learning with hindsight instruction where a teacher provides an instruction that is most suitable for the agent's generated response. This hindsight labeling of instruction is often easier to provide than providing expert supervision of the optimal response which may require expert knowledge or can be impractical to elicit. We initiate the theoretical analysis of interactive learning with hindsight labeling. We first provide a lower bound showing that in general, the regret of any algorithm must scale with the size of the agent's response space. We then study a specialized setting where the underlying instruction-response distribution can be decomposed as a low-rank matrix. We introduce an algorithm called LORIL for this setting and show that its regret scales as $\sqrt{T}$ where $T$ is the number of rounds and depends on the intrinsic rank but does not depend on the size of the agent's response space. We provide experiments in two domains showing that LORIL outperforms baselines even when the low-rank assumption is violated.
title Provable Interactive Learning with Hindsight Instruction Feedback
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2404.09123