The proof combines two deterministic obstructions: a stationary small-gap instance that makes repeated forgetting costly, and a one-breakpoint instance that creates a strict post-change index lock that yields an algorithmic separation.
Gal Mendelson, Eyal Tadmor· arXiv.org· 0 citations
Graph Neural Simulators (GNS) is proposed as a principled surrogate modeling paradigm for time-dependent PDEs that mimics traditional numerical solvers, enabling stable long-horizon rollouts and strong inductive biases that enhance generalization.
The present work provides the first full exposition of QCML as a framework for quantum geometry, establishing its mathematical foundation and demonstrating how operator-level tools from quantum geometry can be directly applied to data.
A. Abanov, Luca Candelori, H. Steinacker et al.· arXiv.org· 2 citations· ⚡1
Many applications of black-box predictive models require controlling task-relevant error rates, such as missed lesion pixels in segmentation or missed labels in multilabel classification. Conformal risk control (CRC; Angelopoulos et al., arXiv:2208.02814) gives distribution-free guarantees for such losses, but it calib...
B. M. Resende, Helton Graziadei, Thiago Ramos et al.· 0 citations
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Latent Inference-Time Guidance for TSFMs is introduced, which adaptively combines a pool of TSFM forecasts through a time-dependent latent space with independent components that comes equipped with identifiability and reconstruction guarantees, whilst maintaining the off-the-shelf aspect of foundation models.
Chloé Hashimoto-Cullen, Amaury Durand, Laurent Bozzi et al.· 0 citations
The classical information bottleneck (IB) measures the relevance of a representation $U$ of $X$ to a target $Y$ by $I(U;Y)$, which does not directly characterize the error of downstream decisions. For a binary hypothesis $Y$ inferred from many separately encoded observations, the optimal error exponent is the Chernoff...
A wide range of methods have been proposed, including physics-informed neural networks, which are powerful but do not guarantee identifiability of the dynamics, symbolic regression, which requires a set of precomputed operations, and causal discovery, which is more principled but usually relies on strong assumptions th...
Julien Boussard, Antoine Debouchage, Théo Saulus· 0 citations
PADI (Post-Anomaly Detection Inference), a novel framework that equips a trained and frozen Deep SVDD detector with statistically valid inference by leveraging the Selective Inference framework, is proposed, providing a principled approach for statistically reliable inference in semi-supervised anomaly detection settin...
Cao Le Cong Thanh, Vinh Quang Dang, Vo Nguyen Le Duy· 0 citations
Many datasets carry an intrinsic directionality: citations point backward in time, cells differentiate along lineages, and traffic follows preferred routes. Spectral embedding methods, including most of their extensions to directed graphs, discard this information: they symmetrize the data and map it into a Euclidean s...
Gwendal Debaussart-Joniec, T. Blanchard, Argyris Kalogeratos· 0 citations
Bre\v{s}ar and Mijatovi\'c \cite{bresar2025} show that Ornstein--Uhlenbeck diffusion is hard to beat in forward convergence under assumptions that exclude superlinear drift. We instead test superlinear Langevin diffusions for score-based image generation, computing their conditional scores numerically from a Fokker--Pl...
Out-of-distribution (OOD) generalization is a central challenge in scientific machine learning. We study regression problems in which the test distribution differs from the training distribution and ask: under what assumptions on the target function or operator is stable extrapolation possible, and how far beyond the t...
Ben Adcock, Simone Brugiapaglia, Xue-Meng Wang· 0 citations
In multiclass probabilistic prediction, Utility Calibration (UC), which focuses auditing on specified utilities, has recently received attention as a way to guarantee downstream decisions while controlling computational and sample requirements. At the same time, some multiclass problems have meaningful label hierarchie...
Futoshi Futami, Jerry M. Huang, Ichiro Takeuchi· 0 citations
A machine-learning approach called CheMeleon provides a practical way to develop new drugs or other molecules with much less detailed, expensive experimentation.
Is your company’s AI sovereign? A practical guide for CIOs on AI vendor lock-in, EU Data Act switching, cloud sovereignty, and testing your exit plan before you need it. The post Sovereignty Is the Option to Leave appeared first on GPT-Lab.
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