Author: Denis Avetisyan
Researchers have developed a novel approach to generate realistic daily schedules, offering a more nuanced understanding of how people spend their time.

This paper introduces ActVAE, a conditional variational autoencoder for generating diverse and plausible human activity schedules, advancing data-driven travel demand modeling.
Accurately capturing the complexity and diversity of human behavior remains a core challenge in fields like travel demand modeling. This paper introduces ActVAE: Modelling human activity schedules with a deep conditional generative approach, a novel framework leveraging conditional variational autoencoders to generate realistic and diverse daily schedules. By explicitly modeling behavioral randomness alongside individual characteristics, ActVAE outperforms both purely generative and purely conditional models in representing population-level activity patterns. Could this approach unlock more nuanced and accurate predictions of future demand across various complex systems?
The Illusion of Routine: Modeling Daily Life’s Chaos
A comprehensive grasp of human daily rhythms is proving essential across a widening spectrum of fields. Beyond simply mapping commute times for urban planning, detailed activity schedules are now informing the development of personalized healthcare interventions. These insights enable the creation of tailored wellness programs, proactive disease management strategies, and even more effective emergency response systems. For instance, understanding typical activity patterns can help predict and mitigate the impact of public health crises, while also allowing for the design of assistive technologies that seamlessly integrate into individual lifestyles. Consequently, the ability to accurately model and interpret these routines isn’t merely an academic pursuit, but a practical necessity for building smarter, more responsive, and ultimately, healthier communities.
The intricacies of human daily life present a significant hurdle for accurate modeling. Traditional approaches, often reliant on simplified assumptions about routine, frequently fail to account for the sheer variability exhibited by individuals. People don’t adhere to rigid schedules; instead, activities are interwoven with spontaneous deviations, unexpected interruptions, and contextual shifts. This inherent flexibility, coupled with differences in lifestyle, occupation, and personal preference, means that a one-size-fits-all model is rarely effective. Consequently, capturing the nuanced reality of daily routines demands methodologies capable of handling complex, individualized patterns – a challenge that has spurred research into more adaptable and data-driven techniques.
Current methodologies for analyzing daily routines frequently depend on pre-defined categories – labeling activities as “work,” “leisure,” or “commuting” – which introduces a significant limitation. This reliance on explicit labels hinders the ability of these models to adapt to novel situations or individual deviations from established patterns. A person’s behavior is rarely so neatly categorized; spontaneous decisions and unexpected events routinely disrupt predictable schedules. Consequently, systems built on rigid labels struggle to accurately represent real-world complexity and may fail to generalize effectively to new users or environments, ultimately diminishing their practical utility in fields like city planning or personalized health interventions where flexibility and adaptability are paramount.

Generative Models: A Necessary Approximation
Variational Autoencoders (VAEs) function by encoding input data, such as activity schedules, into a lower-dimensional latent space. This encoding is not a single point, but a probability distribution – specifically, a Gaussian distribution defined by a mean and variance. By learning this probabilistic mapping, VAEs can generate new data points by sampling from the latent space and decoding the sample. The architecture comprises an encoder network which maps the input to the parameters of this distribution, and a decoder network which reconstructs the original data from a sample in the latent space. The training process utilizes a loss function comprising a reconstruction loss – measuring the difference between the input and the reconstructed output – and a Kullback-Leibler (KL) divergence term, which encourages the latent distribution to remain close to a standard normal distribution $N(0, I)$.
Recurrent Neural Networks (RNNs) are specifically designed for processing sequential data by maintaining a hidden state that captures information about previous elements in the sequence. This internal memory allows RNNs to model dependencies across time steps, making them highly effective for tasks involving temporal data such as time series prediction and natural language processing. In the context of activity modeling, RNNs can learn the probabilistic transitions between different activity states, enabling the generation of realistic and coherent activity sequences. The core mechanism involves feeding the current input and the previous hidden state into the network to produce a new hidden state and an output, effectively propagating information through the sequence. Variants like Long Short-Term Memory (LSTM) and Gated Recurrent Units (GRU) address the vanishing gradient problem, allowing RNNs to capture long-range dependencies more effectively.
The integration of Variational Autoencoders (VAEs) and Recurrent Neural Networks (RNNs), exemplified by models like GenerativeRNN and ActVAE, combines the benefits of both approaches to activity modeling. VAEs facilitate the learning of compressed, latent representations of complex activity data, enabling generalization and the creation of novel activity instances. Simultaneously, RNNs excel at capturing the temporal dependencies inherent in sequential data such as activity schedules. By utilizing a VAE to encode activity data into a lower-dimensional latent space, and then employing an RNN to decode and generate sequences from this latent representation, these combined models can produce realistic and diverse activity schedules while leveraging the learned structure of the data. This synergy addresses limitations inherent in using either model in isolation, resulting in improved performance in activity generation and prediction tasks.

ActVAE: A Pragmatic Attempt at Control
ActVAE is a conditional Variational Autoencoder (VAE) designed to generate data while simultaneously being conditioned on specific label information. Unlike standard VAEs which primarily focus on reconstructing input data from a latent representation, ActVAE explicitly incorporates label data during both the encoding and decoding processes. This is achieved by concatenating label embeddings to both the latent vector $z$ and the decoder input, allowing the generative process to be guided by the desired condition. This architecture enables the model to not only generate plausible data but also to produce data associated with specific, user-defined labels, effectively bridging generative modeling with conditional control.
ActVAE achieves a disentangled latent space through architectural choices and the implementation of a DKL (Disentanglement Knowledge Loss) term during training. This DKL Loss encourages independence between latent dimensions, preventing them from encoding redundant information and promoting a more interpretable representation. Specifically, it minimizes the Kullback-Leibler divergence between the latent distribution and a prior, effectively regularizing the latent space. This disentanglement directly contributes to improved generation quality, as independent latent factors allow for more precise control over generated samples, and enhances conditional control by enabling targeted manipulation of specific attributes without affecting others.
Model training and evaluation utilized data from the UK National Travel Survey (NTS), a large-scale dataset representing real-world travel patterns. This dataset was chosen to provide a realistic and challenging benchmark for assessing the model’s performance in generating and conditioning travel schedules. Analysis determined a minimum of 25,000 individual travel schedules are required within the NTS data to achieve statistically reliable evaluation results; fewer schedules introduce unacceptable variance in performance metrics and hinder accurate assessment of the model’s capabilities. The NTS data includes detailed information on trip purpose, mode of transport, duration, and distance, allowing for comprehensive evaluation of the generated schedules against observed travel behavior.

Measuring the Illusion: Density and Mutual Information
To rigorously assess the fidelity of generated activity schedules, a Joint Density Estimation technique was employed, effectively quantifying the similarity between the distributions of synthetic and real-world data. This approach moves beyond simple visual inspection, providing a statistically sound measure of schedule quality. The method calculates the Earth Mover Distance – a metric representing the minimum ‘work’ required to transform one probability distribution into another – and demonstrates that the generated schedules closely mirror the characteristics of observed data. Importantly, this analysis revealed a significant advantage over baseline models, consistently achieving the lowest Earth Mover Distance and confirming the approach’s ability to produce highly realistic and plausible activity plans.
The capacity of ActVAE to model the connections between labels – representing specific activities – and their corresponding patterns of occurrence was assessed through the calculation of Mutual Information. This metric quantifies the amount of information one variable – the activity label – provides about another – the activity pattern itself. Results demonstrate that ActVAE effectively captures these relationships, indicating the model doesn’t merely generate plausible schedules, but learns to associate correct activities with their typical temporal contexts. Higher Mutual Information scores suggest a stronger understanding of the dependencies within the data, confirming that ActVAE learns a meaningful representation of how labels and activity patterns co-occur, ultimately contributing to the generation of more realistic and informative schedules.
The study demonstrates that ActVAE effectively learns to produce activity schedules exhibiting both realism and meaningful information content, consistently outperforming established baseline models. This success is attributed to the model’s capacity to capture the underlying structure of activity data, evidenced by its ability to generate schedules closely mirroring observed patterns. Notably, training ActVAE on a comprehensive dataset spanning 2019 to 2023 yielded substantial performance gains when contrasted with models trained on single-year datasets, highlighting the importance of temporal diversity in learning robust and generalizable activity representations. The model’s superior performance indicates its potential for applications requiring accurate and informative scheduling, such as resource allocation and personalized activity planning.

The pursuit of ever-more-realistic activity schedules, as demonstrated by ActVAE, feels predictably optimistic. This paper attempts to model population behaviors with conditional generative models – a sophisticated approach, naturally. One anticipates the inevitable edge cases, the anomalies production will gleefully unearth. As Claude Shannon observed, “Communication is the process of conveying meaning from one entity to another.” In this context, ActVAE attempts to ‘communicate’ realistic daily routines. But translating human behavior into a mathematical model? It’s a clever trick, until someone decides to simulate a Tuesday where everyone spontaneously takes up competitive origami. Then the archaeologists will have something to study.
What’s Next?
The pursuit of generative models for activity schedules, as exemplified by ActVAE, inevitably encounters the law of diminishing returns. Each layer of abstraction – from raw data to latent variables and finally to synthesized routines – introduces potential for divergence between model and reality. The elegance of a conditional Variational Autoencoder does not inoculate it against the messy unpredictability of human behavior. It merely shifts the burden of error to a more opaque level. The model will reliably produce plausible schedules, but the true test lies in its ability to forecast the statistically improbable – the edge cases that cripple transportation systems and strain resource allocation.
Future work will undoubtedly focus on increasing the fidelity of generated schedules. More granular data, incorporating contextual factors beyond simple labels, seems an obvious path. However, a more fundamental challenge remains: the difficulty of validating these models. Metrics of diversity and realism are subjective, and true ground truth is rarely available. The field will likely see an arms race of increasingly complex evaluation schemes, each as flawed as the last. Documentation, as always, will lag far behind.
Ultimately, the promise of a truly ‘data-driven’ approach to activity-based modeling feels… optimistic. The model learns patterns from the past, but the future, by definition, contains novel events. CI is the temple – and it will inevitably fail. The real innovation may not lie in more sophisticated algorithms, but in accepting the inherent limitations of predictive modeling and building systems that are robust to unexpected deviations.
Original article: https://arxiv.org/pdf/2512.04223.pdf
Contact the author: https://www.linkedin.com/in/avetisyan/
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2025-12-07 22:43