Algorithmic Recourse with Missing Values

Fuente: arXiv
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Main Authors: Kanamori, Kentaro, Takagi, Takuya, Kobayashi, Ken, Ike, Yuichi
Format: Preprint
Published: 2023
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author Kanamori, Kentaro
Takagi, Takuya
Kobayashi, Ken
Ike, Yuichi
author_facet Kanamori, Kentaro
Takagi, Takuya
Kobayashi, Ken
Ike, Yuichi
contents This paper proposes a new framework of algorithmic recourse (AR) that works even in the presence of missing values. AR aims to provide a recourse action for altering the undesired prediction result given by a classifier. Existing AR methods assume that we can access complete information on the features of an input instance. However, we often encounter missing values in a given instance (e.g., due to privacy concerns), and previous studies have not discussed such a practical situation. In this paper, we first empirically and theoretically show the risk that a naive approach with a single imputation technique fails to obtain good actions regarding their validity, cost, and features to be changed. To alleviate this risk, we formulate the task of obtaining a valid and low-cost action for a given incomplete instance by incorporating the idea of multiple imputation. Then, we provide some theoretical analyses of our task and propose a practical solution based on mixed-integer linear optimization. Experimental results demonstrated the efficacy of our method in the presence of missing values compared to the baselines.
format Preprint
id arxiv_https___arxiv_org_abs_2304_14606
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Algorithmic Recourse with Missing Values
Kanamori, Kentaro
Takagi, Takuya
Kobayashi, Ken
Ike, Yuichi
Machine Learning
This paper proposes a new framework of algorithmic recourse (AR) that works even in the presence of missing values. AR aims to provide a recourse action for altering the undesired prediction result given by a classifier. Existing AR methods assume that we can access complete information on the features of an input instance. However, we often encounter missing values in a given instance (e.g., due to privacy concerns), and previous studies have not discussed such a practical situation. In this paper, we first empirically and theoretically show the risk that a naive approach with a single imputation technique fails to obtain good actions regarding their validity, cost, and features to be changed. To alleviate this risk, we formulate the task of obtaining a valid and low-cost action for a given incomplete instance by incorporating the idea of multiple imputation. Then, we provide some theoretical analyses of our task and propose a practical solution based on mixed-integer linear optimization. Experimental results demonstrated the efficacy of our method in the presence of missing values compared to the baselines.
title Algorithmic Recourse with Missing Values
topic Machine Learning
url https://arxiv.org/abs/2304.14606