Retraining Seeks Stable Signals

arXiv:2607.15623 · stat.ML, cs.LG · Submitted 2026-07-17 · Read on arXiv

Moritz Hardt

stat.ML, cs.LG

Submitted: 2026-07-17

Comments: Companion article to an invited contribution to the Proceedings of the International Congress of Mathematicians (ICM), 2026

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Fixed Point — 14× in this paper · explained in 2 episodes
• Feedback Loop — 13× in this paper · explained in 2 episodes
• Regularization — 11× in this paper · explained in 3 episodes
• Generalization — 4× in this paper · explained in 14 episodes
• Loss Function — 2× in this paper · explained in 2 episodes
• Accountability — 1× in this paper · explained in 2 episodes
• Calibration — 1× in this paper · explained in 9 episodes
• Concept Drift — 1× in this paper · explained in 6 episodes
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Distribution Shift — 1× in this paper · explained in 12 episodes
• Generative Model — 1× in this paper · explained in 2 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Generative Models — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Regret — 1× in this paper · explained in 4 episodes
• Scaling Laws — 1× in this paper · explained in 4 episodes

Sources

• The Stability of Online Algorithms in Performative Prediction
• Partially Performative Prediction

Related papers

• Behavior of prediction performance metrics with rare events
• Optimal Estimation of Generic Dynamics by Path-Dependent Neural Jump ODEs
• A Posterior-Dynamics Framework for Imaging Inverse Problems with Pretrained Diffusion Priors
• Scalable Posterior Uncertainty for Flexible Density-Based Clustering
• A Transport Geometry of Benign Overfitting
• Efficient quadratic entropy with distance sketches