Selective classification enables a model to abstain from predictions on uncertain instances, but existing approaches typically reject them through confidence scores, predefined coverage constraints or instance-level distance measures. These approaches may overlook the collective geometric structure of difficult samples...
It is proved that the estimated conditional distributions converge in energy distance to the true ones, which implies that the learned representation is asymptotically sufficient.
Alexander Henzi, Tian-Ge Liu, Xinwei Shen· 0 citations
Dynamic mode decomposition (DMD) is a data-driven method that computes the best linear approximation of the underlying dynamical system and decomposes the dynamics into a superposition of characteristic spatiotemporal patterns. Originally introduced by the fluid dynamics community, DMD and its extensions have found wid...
Evidence that LogP-BBB associations vary systematically across chemical space is insufficient underscores that feature representation and model architecture are coupled design choices, and that unorthogonalized causal forests risk overstating genuine treatment effect heterogeneity.
Tshemollo Rapolai, S. Makgai, Mohammad Arashi· 0 citations
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This work characterize task-space complexity through covering numbers under a prescribed metric, thereby quantifying the low-dimensional cross-task structure without requiring an explicit parametric representation and explicitly construct a Transformer that exploits their low-dimensional structure to perform ICL.
Zhong-Jie Shi, Rong-Jie Lai, Alexander Cloninger et al.· 1 citation
It is observed that personalised SPDNet reaches higher accuracy than both standard FL and centralised training, while converging in fewer rounds and communicating fewer parameters than standard FL.
Thibault Pautrel, Florent Bouchard, Ammar Mian et al.· 0 citations
An SI framework for deep clustering with a fixed pretrained encoder that provides a principled approach to quantifying the statistical reliability of structures discovered by deep clustering and enables valid statistical testing of differences between clusters identified in the latent space.
Eina Mizui, Tomohiro Shiraishi, S. Nishino et al.· 0 citations
We study Bayesian linear bandits with an isotropic Gaussian parameter, independent Gaussian candidate arms, and Gaussian reward noise when the horizon is proportional to the dimension. The normalized posterior uncertainty has an explicit limit that is uniform over all causal policies. Gaussian posterior identities then...
Prakhar Singhvi (Abstract Math Institute), Yi Zou (Abstract Math Institute), Abhishek Bhattacharjee (Abstract Math Institute)· 0 citations
This paper analyzes the decomposability and symmetry properties of MAOs, showing that certain operators cannot be expressed in decomposable form and examining several notions of symmetry, and introduces a family of MAOs termed maximum entropy global coverage indices (MEGCIs).
Inmaculada Gutiérrez, Asier Urio-Larrea, J.Tinguaro Rodríguez et al.· 0 citations
This work characterize this form of consistency for arbitrary binary hypothesis classes in ZFC, without requiring a uniform mistake bound, using a single linear order on finite realizable traces.
This is the first single-loop method for general nonexpansive fixed-point problems to attain this near-optimal sample complexity without variance reduction or batching.
Tong Yang, Tao Jiang, Yue-Jie Chi et al.· 0 citations
This work introduces Coverage-Constrained Sequential Model Confidence Sets (CC-SMCS), which separate certifiably feasible, possibly feasible, and possibly constrained-optimal pipelines and establishes an impossibility result for safe certification at the coverage boundary.
Jennifer Neville did not want to go into computer science—but that’s exactly where she landed. Neville discusses the starts and stops that led to her professional sweet spot and her work identifying “surprising failures” making it hard for AI to handle complexity. The post What AI gets wrong and what failure teaches us appeared first on Microsoft Research.