CEPAE: Conditional Entropy-Penalized Autoencoders for Time Series Counterfactuals

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Hauptverfasser: Garriga, Tomàs, Sanz, Gerard, de Cambra, Eduard Serrahima, Brando, Axel
Format: Preprint
Veröffentlicht: 2026
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author Garriga, Tomàs
Sanz, Gerard
de Cambra, Eduard Serrahima
Brando, Axel
author_facet Garriga, Tomàs
Sanz, Gerard
de Cambra, Eduard Serrahima
Brando, Axel
contents The ability to accurately perform counterfactual inference on time series is crucial for decision-making in fields like finance, healthcare, and marketing, as it allows us to understand the impact of events or treatments on outcomes over time. In this paper, we introduce a new counterfactual inference approach tailored to time series data impacted by market events, which is motivated by an industrial application. Utilizing the abduction-action-prediction procedure and the Structural Causal Model framework, we first adapt methods based on variational autoencoders and adversarial autoencoders, both previously used in counterfactual literature although not in time series settings. Then, we present the Conditional Entropy-Penalized Autoencoder (CEPAE), a novel autoencoder-based approach for counterfactual inference, which employs an entropy penalization loss over the latent space to encourage disentangled data representations. We validate our approach both theoretically and experimentally on synthetic, semi-synthetic, and real-world datasets, showing that CEPAE generally outperforms the other approaches in the evaluated metrics.
format Preprint
id arxiv_https___arxiv_org_abs_2602_15546
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle CEPAE: Conditional Entropy-Penalized Autoencoders for Time Series Counterfactuals
Garriga, Tomàs
Sanz, Gerard
de Cambra, Eduard Serrahima
Brando, Axel
Machine Learning
The ability to accurately perform counterfactual inference on time series is crucial for decision-making in fields like finance, healthcare, and marketing, as it allows us to understand the impact of events or treatments on outcomes over time. In this paper, we introduce a new counterfactual inference approach tailored to time series data impacted by market events, which is motivated by an industrial application. Utilizing the abduction-action-prediction procedure and the Structural Causal Model framework, we first adapt methods based on variational autoencoders and adversarial autoencoders, both previously used in counterfactual literature although not in time series settings. Then, we present the Conditional Entropy-Penalized Autoencoder (CEPAE), a novel autoencoder-based approach for counterfactual inference, which employs an entropy penalization loss over the latent space to encourage disentangled data representations. We validate our approach both theoretically and experimentally on synthetic, semi-synthetic, and real-world datasets, showing that CEPAE generally outperforms the other approaches in the evaluated metrics.
title CEPAE: Conditional Entropy-Penalized Autoencoders for Time Series Counterfactuals
topic Machine Learning
url https://arxiv.org/abs/2602.15546