Probabilistic Prediction of Neural Dynamics via Autoregressive Flow Matching
On the map: Diffusion models → Flow matching, time series and science
Abstract (arXiv)
Forecasting neural activity in response to naturalistic stimuli remains a key challenge for understanding brain dynamics and enabling downstream neurotechnological applications. Here, we introduce a generative forecasting framework for modeling neural dynamics based on autoregressive flow matching (AFM). Building on recent advances in transport-based generative modeling, our approach probabilistically predicts neural responses at scale from multimodal sensory input. Specifically, we learn the conditional distribution of future neural activity given past neural dynamics and concurrent sensory input, explicitly modeling neural activity as a temporally evolving process in which future states depend on recent neural history. We evaluate our framework on the Algonauts project 2025 challenge functional magnetic resonance imaging dataset using subject-specific models. AFM significantly outperforms both a non-autoregressive flow-matching baseline and the official challenge general linear model baseline in predicting short-term parcel-wise blood oxygenation level-dependent (BOLD) activity, demonstrating improved generalization and widespread cortical prediction performance. Ablation analyses show that access to past BOLD dynamics is a dominant driver of performance, while autoregressive factorization yields consistent, modest gains under short-horizon, context-rich conditions. Together, these findings position autoregressive flow-based generative modeling as an effective approach for short-term probabilistic forecasting of neural dynamics with promising applications in closed-loop neurotechnology.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Placed in Flow matching, time series and science, one of 14 directions in Diffusion models. Builds on 32 of its 80 references that are in the map. First posted on arXiv 13 Apr 2026.
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32 of 80 references.
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- 2025Probabilistic Forecasting via Autoregressive Flow Matching13 Mar
- 2024FlowTS: Time Series Generation via Rectified Flow12 Nov
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- 2024Flow Matching with Gaussian Process Priors for Probabilistic Time Series Forecasting3 Oct
- 2024The Rise of Diffusion Models in Time-Series Forecasting5 Jan
- 2023Predict, Refine, Synthesize: Self-Guiding Diffusion Models for Probabilistic Time Series Forecasting21 Jul
- 2022Flow Matching for Generative Modeling6 Oct
- 2021Autoregressive Denoising Diffusion Models for Multivariate Probabilistic Time Series Forecasting28 Jan
Other references · 24
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- 2018Neural Ordinary Differential Equationscited by 3,733
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- 2021An Introduction to Deep Generative Modelingcited by 104
- 2014Deep Neural Networks Reveal a Gradient in the Complexity of Neural Representations across the Brain's Ventral Visual Pathwaycited by 93
- 2021Predictive Coding: a Theoretical and Experimental Reviewcited by 74
- 2024The Algonauts Project 2025 Challenge: How the Human Brain Makes Sense of Multimodal Moviescited by 19
- 2025TRIBE: TRImodal Brain Encoder for whole-brain fMRI response predictioncited by 17
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- 2022Generalization in Neural Networks: A Broad Surveycited by 11
- 2023Neuroformer: Multimodal and Multitask Generative Pretraining for Brain Datacited by 10
- 2019Jointly Discriminative and Generative Recurrent Neural Networks for Learning from fMRIcited by 9
12 more
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- 2025VIBE: Video-Input Brain Encoder for fMRI Response Modelingcited by 7
- 2025POCO: Scalable Neural Forecasting through Population Conditioningcited by 6
- 2024Predicting Human Brain States with Transformercited by 5
- 2025Forecasting Whole-Brain Neuronal Activity from Volumetric Videocited by 5
- 2025Multimodal Recurrent Ensembles for Predicting Brain Responses to Naturalistic Movies (Algonauts 2025)cited by 5
- 2021Forecasting Brain Activity Based on Models of Spatio-Temporal Brain Dynamics: A Comparison of Graph Neural Network Architecturescited by 4
- 2024Universal Differential Equations as a Common Modeling Language for Neurosciencecited by 4
- 2024Generative Modeling of Neural Dynamics via Latent Stochastic Differential Equationscited by 4
- 2025The ISLab Solution to the Algonauts Challenge 2025: A Multimodal Deep Learning Approach to Brain Response Predictioncited by 1
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- 2025Benchmarking Probabilistic Time Series Forecasting Models on Neural Activitycited by 1
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- 2026Conditional Flow Matching for Single-Neuron Electrophysiology: Capturing Multimodal Responses Across Stimuli
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- 2024Treating Brain-inspired Memories as Priors for Diffusion Model to Forecast Multivariate Time Series