Generalizing Orthogonalization for Models with Non-Linearities

Fuente: arXiv
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Auteurs principaux: Rügamer, David, Kolb, Chris, Weber, Tobias, Kook, Lucas, Nagler, Thomas
Format: Preprint
Publié: 2024
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author Rügamer, David
Kolb, Chris
Weber, Tobias
Kook, Lucas
Nagler, Thomas
author_facet Rügamer, David
Kolb, Chris
Weber, Tobias
Kook, Lucas
Nagler, Thomas
contents The complexity of black-box algorithms can lead to various challenges, including the introduction of biases. These biases present immediate risks in the algorithms' application. It was, for instance, shown that neural networks can deduce racial information solely from a patient's X-ray scan, a task beyond the capability of medical experts. If this fact is not known to the medical expert, automatic decision-making based on this algorithm could lead to prescribing a treatment (purely) based on racial information. While current methodologies allow for the "orthogonalization" or "normalization" of neural networks with respect to such information, existing approaches are grounded in linear models. Our paper advances the discourse by introducing corrections for non-linearities such as ReLU activations. Our approach also encompasses scalar and tensor-valued predictions, facilitating its integration into neural network architectures. Through extensive experiments, we validate our method's effectiveness in safeguarding sensitive data in generalized linear models, normalizing convolutional neural networks for metadata, and rectifying pre-existing embeddings for undesired attributes.
format Preprint
id arxiv_https___arxiv_org_abs_2405_02475
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Generalizing Orthogonalization for Models with Non-Linearities
Rügamer, David
Kolb, Chris
Weber, Tobias
Kook, Lucas
Nagler, Thomas
Machine Learning
Artificial Intelligence
Computation
Methodology
The complexity of black-box algorithms can lead to various challenges, including the introduction of biases. These biases present immediate risks in the algorithms' application. It was, for instance, shown that neural networks can deduce racial information solely from a patient's X-ray scan, a task beyond the capability of medical experts. If this fact is not known to the medical expert, automatic decision-making based on this algorithm could lead to prescribing a treatment (purely) based on racial information. While current methodologies allow for the "orthogonalization" or "normalization" of neural networks with respect to such information, existing approaches are grounded in linear models. Our paper advances the discourse by introducing corrections for non-linearities such as ReLU activations. Our approach also encompasses scalar and tensor-valued predictions, facilitating its integration into neural network architectures. Through extensive experiments, we validate our method's effectiveness in safeguarding sensitive data in generalized linear models, normalizing convolutional neural networks for metadata, and rectifying pre-existing embeddings for undesired attributes.
title Generalizing Orthogonalization for Models with Non-Linearities
topic Machine Learning
Artificial Intelligence
Computation
Methodology
url https://arxiv.org/abs/2405.02475