Neural Mixed Effects for Nonlinear Personalized Predictions
- URL: http://arxiv.org/abs/2306.08149v3
- Date: Thu, 31 Aug 2023 16:14:05 GMT
- Title: Neural Mixed Effects for Nonlinear Personalized Predictions
- Authors: Torsten W\"ortwein, Nicholas Allen, Lisa B. Sheeber, Randy P.
Auerbach, Jeffrey F. Cohn, Louis-Philippe Morency
- Abstract summary: We propose Neural Mixed Effect (NME) models to optimize nonlinear person-specific parameters anywhere in a neural network in a scalable manner.
NME combines the efficiency of neural network optimization with nonlinear mixed effects modeling.
- Score: 32.86609564572087
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Personalized prediction is a machine learning approach that predicts a
person's future observations based on their past labeled observations and is
typically used for sequential tasks, e.g., to predict daily mood ratings. When
making personalized predictions, a model can combine two types of trends: (a)
trends shared across people, i.e., person-generic trends, such as being happier
on weekends, and (b) unique trends for each person, i.e., person-specific
trends, such as a stressful weekly meeting. Mixed effect models are popular
statistical models to study both trends by combining person-generic and
person-specific parameters. Though linear mixed effect models are gaining
popularity in machine learning by integrating them with neural networks, these
integrations are currently limited to linear person-specific parameters: ruling
out nonlinear person-specific trends. In this paper, we propose Neural Mixed
Effect (NME) models to optimize nonlinear person-specific parameters anywhere
in a neural network in a scalable manner. NME combines the efficiency of neural
network optimization with nonlinear mixed effects modeling. Empirically, we
observe that NME improves performance across six unimodal and multimodal
datasets, including a smartphone dataset to predict daily mood and a
mother-adolescent dataset to predict affective state sequences where half the
mothers experience at least moderate symptoms of depression. Furthermore, we
evaluate NME for two model architectures, including for neural conditional
random fields (CRF) to predict affective state sequences where the CRF learns
nonlinear person-specific temporal transitions between affective states.
Analysis of these person-specific transitions on the mother-adolescent dataset
shows interpretable trends related to the mother's depression symptoms.
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