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Autori principali: Veprikov, Andrey, Afanasiev, Alexander, Khritankov, Anton
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2405.02726
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author Veprikov, Andrey
Afanasiev, Alexander
Khritankov, Anton
author_facet Veprikov, Andrey
Afanasiev, Alexander
Khritankov, Anton
contents Widespread deployment of societal-scale machine learning systems necessitates a thorough understanding of the resulting long-term effects these systems have on their environment, including loss of trustworthiness, bias amplification, and violation of AI safety requirements. We introduce a repeated learning process to jointly describe several phenomena attributed to unintended hidden feedback loops, such as error amplification, induced concept drift, echo chambers and others. The process comprises the entire cycle of obtaining the data, training the predictive model, and delivering predictions to end-users within a single mathematical model. A distinctive feature of such repeated learning setting is that the state of the environment becomes causally dependent on the learner itself over time, thus violating the usual assumptions about the data distribution. We present a novel dynamical systems model of the repeated learning process and prove the limiting set of probability distributions for positive and negative feedback loop modes of the system operation. We conduct a series of computational experiments using an exemplary supervised learning problem on two synthetic data sets. The results of the experiments correspond to the theoretical predictions derived from the dynamical model. Our results demonstrate the feasibility of the proposed approach for studying the repeated learning processes in machine learning systems and open a range of opportunities for further research in the area.
format Preprint
id arxiv_https___arxiv_org_abs_2405_02726
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Mathematical Model of the Hidden Feedback Loop Effect in Machine Learning Systems
Veprikov, Andrey
Afanasiev, Alexander
Khritankov, Anton
Machine Learning
Systems and Control
Widespread deployment of societal-scale machine learning systems necessitates a thorough understanding of the resulting long-term effects these systems have on their environment, including loss of trustworthiness, bias amplification, and violation of AI safety requirements. We introduce a repeated learning process to jointly describe several phenomena attributed to unintended hidden feedback loops, such as error amplification, induced concept drift, echo chambers and others. The process comprises the entire cycle of obtaining the data, training the predictive model, and delivering predictions to end-users within a single mathematical model. A distinctive feature of such repeated learning setting is that the state of the environment becomes causally dependent on the learner itself over time, thus violating the usual assumptions about the data distribution. We present a novel dynamical systems model of the repeated learning process and prove the limiting set of probability distributions for positive and negative feedback loop modes of the system operation. We conduct a series of computational experiments using an exemplary supervised learning problem on two synthetic data sets. The results of the experiments correspond to the theoretical predictions derived from the dynamical model. Our results demonstrate the feasibility of the proposed approach for studying the repeated learning processes in machine learning systems and open a range of opportunities for further research in the area.
title A Mathematical Model of the Hidden Feedback Loop Effect in Machine Learning Systems
topic Machine Learning
Systems and Control
url https://arxiv.org/abs/2405.02726