A visibility estimate shows that the expected number of switches that do not produce scalar kinks is negligible, yielding an explicit leading formula for the expected number of scalar kinks and hence affine regions.
This work presents a new approach that leverages a multitask GP model to jointly learn all objectives and constraints, and proposes a total correlation metric that enables identifying an ${optimal}$ subset of objectives and constraints to be evaluated at every round, even under uniform evaluation costs.
A matching lower bound for the class of linear predictors is established and a challenging sequential covariate distribution supported on mutually orthogonal hyperplanes is constructed in explicitly constructing a challenging sequential covariate distribution.
A training-free adaptive ensemble conditional score filter is proposed, which recasts noisy posterior score estimation as estimating the conditional mean of the system state given a noisy reverse particle and the observation, and establishes a bound relating conditional-mean estimation errors to reverse-sampling endpoi...
Yang-Wen Zhang, Shi-Wei Ni, Xiao-Ping Zhang et al.· 0 citations
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We study the generalization of spectral gradient descent (SpecGD) in overparameterized matrix classification with corrupted labels. Each input combines a shared low-rank signal with a rank-one sample-specific perturbation, referred to as a shortcut, that enables memorization but does not generalize. We contrast collaps...
This work model SGD gradient noise by adopting a Young function that preserves the finiteness of all polynomial moments while allowing tails heavier than sub-Weibull, including lognormal distributions, and establishes concentration inequalities for $\beta$-heavy-tailed noise.
Nonlinear dynamical systems with memory arise across science and engineering, yet uncertainty quantification for efficient forecasting methods such as Next Generation Reservoir Computing (NGRC) remains underdeveloped. We study Bayesian ridge and conformal prediction intervals for NGRC and characterize when their uncert...
L. Popa, Sumanta Basu, Martin T. Wells· 0 citations
It is proved that \textsc{FOCUS} is $(\epsilon,\delta)$-correct and that its expected stopping time matches the lower bound in its $\Theta(\log(1/\delta)$ dependence up to an instance-dependent constant.
The results provide a modular framework that can be used to analyze linear bandit algorithms and explicitly connect quality of parameter estimation to optimal regret accumulation.
Arda Güçlü, Subhonmesh Bose, J. Birge· 0 citations
The results show that PhiBE-Flow accurately recovers probability flows of stochastic dynamics, preserves multiscale physical statistics, and improves video generation performance over representative baselines.
Normalizing Flow Flow Maps (NF$^2$M), which combines the strengths of recent stochastic flow maps with the tractability of classic normalizing flows to build a Boltzmann Generator, and is evaluated on peptide systems, demonstrating improved sampling efficiency and sample quality.
Louis Grenioux, Rui-Kang Ouyang, Lu-Huan Wu· 0 citations
Multiple instance learning (MIL) is widely used in computational pathology because it enables weakly supervised analysis of whole-slide images (WSIs) without requiring patch-level annotations. In attention-based MIL, instances with high attention scores are often interpreted as diagnostically important regions and used...
Noriaki Hashimoto, Shuichi Nishino, Teruyuki Katsuoka et al.· 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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