Research
What I cannot create, I do not understand. (Richard Feynman)
I work on machines that learn like we do: by actively exploring and building models of the world, an approach I call active world modeling.
A toddler putting a new object in their mouth is running an experiment: testing what it is made of and how it behaves, and revising their model of it. State-of-the-art AI mostly learns differently, by passively absorbing vast amounts of data.
Learning in nature seems to follow general principles, on which developmental psychology, cognitive science, neuroscience and physics increasingly converge. My research bet is that building on these principles can give us AI that learns autonomously, continually and open-endedly from far less data and compute, generalizes and adapts when the world changes, and is aligned, safer and more robust.
This Machine Learning Street Talk interview discusses my research. Also available on Apple Podcasts.
Active world modeling
Active world modeling agents learn how their world works, including what kind of model best describes it, while acting to gain information and achieve goals safely. Making this work raises mathematical, statistical and engineering challenges. We are working on three interlinked questions:
- Universal world modeling. Which models can describe anything from physical to social interactions, while still letting an agent learn as efficiently as possible? (Da Costa, 2024; Da Costa et al., 2026)
- Model discovery. How can an agent infer which models best explain its experience, from a handful of observations to vast amounts of data? (Da Costa et al., 2025; Six, Panse, Fajeau, Da Costa et al., 2026)
- Active learning. How should an agent act to improve its understanding of the world while pursuing its goals safely? (see Rainforth et al., 2023 for a review)
Where this comes from
My work has developed three interlocking strands. First, I formalized principles of biological intelligence, such as the free-energy principle, through Bayesian mechanics: a mathematical account of how systems that persist in a changing environment can be described as inferring the world around them (Da Costa et al., 2021; Friston, Da Costa et al., 2023). Second, I helped formalize active inference, the theory of agents that follows from these principles: agents perceive and learn by approximate Bayesian inference, and plan by balancing expected utility with information gain (Da Costa et al., 2020; Barp, Da Costa, França et al., 2022). Similar principles, developed independently in cognitive science, have produced agents that reach human-level sample efficiency in simple video games (Tsividis et al., 2021).
These agents, however, rely on world models whose structure is designed by hand, which limits them to simple environments. Active world modeling, my current focus, is the main missing ingredient for scaling this approach: agents that learn not only the contents of their world models but also their structure (Da Costa et al., 2025).
ATOM
I lead ATOM Research, a focused research community developing active world modeling and scaling it toward an agent foundation model: agents that learn autonomously and continually, are sample- and compute-efficient, generalize and adapt when the world changes, and are aligned, safe and robust.
Interested in joining? Please read Opportunities and get in touch 📨.
Key papers
World models and model discovery
- V Six, F Panse, M Fajeau, L Da Costa, M Sharma, A Amayuelas, TZ Xiao, D Hyland, P Hennig, B Schölkopf. Learning POMDP world models from observations with language-model priors. NeurIPS, 2026.
- L Da Costa, S Namjoshi, MA Ansari, B Schölkopf. Natural building blocks for structured world models: theory, evidence, and scaling. World Modeling Workshop, 2026.
- K Zaghw, A Pashea, M Pritsch, W Nuijten, K Friston, L Da Costa. Renormalising generative models for active inference: foundations, derivations, and verification. International Workshop on Active Inference (oral), 2026.
- K Friston, L Da Costa, A Tschantz, C Heins, C Buckley, T Verbelen, T Parr. Active inference and artificial reasoning. Nature Communications, 2026.
- L Da Costa, T Gavenčiak, D Hyland, M Samiei, C Dragos-Manta, C Pattisapu, A Razi, K Friston. Possible principles for aligned structure learning agents. Neural Computation, 2025.
- K Friston, C Heins, T Verbelen, L Da Costa, et al. From pixels to planning: scale-free active inference. Frontiers in Network Physiology, 2025.
- L Da Costa. Toward universal and interpretable world models for open-ended learning agents. NeurIPS Workshop on Intrinsically Motivated and Open-Ended Learning, 2024.
Active inference and reinforcement learning
- L Da Costa, N Sajid, T Parr, K Friston, R Smith. Reward maximisation through discrete active inference. Neural Computation, 2023.
- A Barp, L Da Costa, G França, K Friston, M Girolami, MI Jordan, GA Pavliotis. Geometric methods for sampling, optimisation, inference and adaptive agents. Handbook of Statistics, 2022.
- K Friston, L Da Costa, D Hafner, C Hesp, T Parr. Sophisticated inference. Neural Computation, 2021.
- L Da Costa, T Parr, N Sajid, S Veselic, V Neacsu, K Friston. Active inference on discrete state-spaces: a synthesis. Journal of Mathematical Psychology, 2020.
The free-energy principle and Bayesian mechanics
- K Friston, L Da Costa, N Sajid, C Heins, K Ueltzhöffer, GA Pavliotis, T Parr. The free energy principle made simpler but not too simple. Physics Reports, 2023.
- L Da Costa, K Friston, C Heins, GA Pavliotis. Bayesian mechanics for stationary processes. Proceedings of the Royal Society A, 2021.
Stochastic process foundations
- L Da Costa, N Da Costa, C Heins, J Medrano, GA Pavliotis, T Parr, AA Meera, K Friston. A theory of generalised coordinates for stochastic differential equations. Studies in Applied Mathematics, 2025.
- L Da Costa, GA Pavliotis. The entropy production of stationary diffusions. Journal of Physics A, 2023.
The full list is on Google Scholar and in my CV*.
*Updated sparingly.