Optimal control of the future via prospective learning with control

Yuxin Bai, Aranyak Acharyya, Ashwin De Silva, Zeyu Shen, James Hassett +1 more
11/11/2025
stat.MLcs.LG

No confident code implementation found for this paper.

Abstract

Optimal control of the future is the next frontier for AI. Current approaches to this problem are typically rooted in reinforcement learning (RL). RL is mathematically distinct from supervised learning, which has been the main workhorse for the recent achievements in AI. Moreover, RL typically operates in a stationary environment with episodic resets, limiting its utility. Here, we extend supervised learning to address learning to \textit{control} in non-stationary, reset-free environments. Using this framework, called ''Prospective Learning with Control'' (PL+C), we prove that under certain fairly general assumptions, empirical risk minimization (ERM) asymptotically achieves the Bayes optimal policy. We then consider a specific instance of prospective learning with control, foraging -- which is a canonical task for any mobile agent -- be it natural or artificial. We illustrate that modern RL algorithms fail to learn in these non-stationary reset-free environments, and even with modifications, they are orders of magnitude less efficient than our prospective foraging agents.

View on arXivView PDF

Code Implementations

No confident code match yet

We couldn't find an author-owned or strongly-evidenced community implementation for this paper. Any repos shown below are weak matches — verify before relying on them.

No code implementations found yet.

Know of an implementation? Let us know in the comments below!

Similar Papers

Cite this paper

@article{bai2025optimal,
  title  = {Optimal control of the future via prospective learning with control},
  author = {Yuxin Bai and Aranyak Acharyya and Ashwin De Silva and Zeyu Shen and James Hassett and Joshua T. Vogelstein},
  year   = {2025},
  eprint = {2511.08717},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2511.08717v3}
}

Add a badge to your README

Shows whether official code is linked for this paper.

Code of Paper badge
[![Code of Paper](https://codeofpaper.com/badge/2511.08717.svg)](https://codeofpaper.com/paper/2511.08717)

Discussion