A doubly-anchored DRO framework whose ambiguity set is the intersection of $\phi$-divergence balls centered at the source law and a source-completed target reference law, the latter pairing the target covariate law with the source conditional law is introduced.
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.
Xuanyu Chen, Yue Yu· 0 citations
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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
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.
Linear bandits model sequential decision-making problems with noisy rewards that are linear in the decision variable, where an agent must simultaneously learn about an unknown parameter that governs the mean rewards, while maximizing (expected) rewards over time. Two prominent algorithmic families--upper confidence bou...
Arda Güçlü, Subhonmesh Bose, J. Birge· 0 citations
Physical systems evolve continuously in time, yet their states are typically observed only at discrete times. Generating trajectories consistent with their probability densities from such observations therefore requires capturing the continuous-time evolution rather than only learning transition mappings between consec...
Generating independent, equilibrium samples of molecular systems at scale remains a central obstacle in computational statistical mechanics. Boltzmann Generators address this by pairing a generative model with importance sampling to obtain consistent samples from the target distribution. We introduce Normalizing Flow F...
Louis Grenioux, Rui-Kang Ouyang, Lu-Huan Wu· 0 citations
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.