A condition-number principle shows that small suboptimality in admissible prototype clustering objectives implies small misclassification error when the condition number is low, with phase transitions for exact recovery.
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Sanov Property, Generalized I-Projection and a Conditional Limit Theorem
10 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 10representative citing papers
Power-one sequential tests exist for testing any weakly compact null set of distributions against its complement.
A new sampler for discrete distributions using coin flips that combines linearithmic space, negligible runtime overhead, and entropy-optimal expected flips in [H(P), H(P)+2).
Characterizes the distributional mean-field limit of co-evolving latent space networks with feedback, including empirical measures and graphon convergence, via a conditional propagation of chaos result.
Proves cutoff at entropic time log n/h for reversible mixtures of permuted Markov chains under mild assumptions on the base chains.
A strong law of large numbers holds for random semigroups with unbounded generators in the strong operator topology on uniformly smooth Banach spaces.
Constructs QMLE for drift parameter in singular Volterra SDE with small diffusion, proving path reconstruction error O(h^{1/2}) independent of roughness α and yielding efficient estimator as ε→0.
A weighted K-means plus decision-tree pipeline learns multi-action policies from observational data and is applied to HCV treatment choices for HIV co-infected patients, finding a high-clearance subgroup and potential cost savings of CAN$3.6-4.9 million.
Constructs a consistent and asymptotically normal trajectory fitting estimator for the drift parameter θ* in singular-kernel stochastic Volterra equations under small-noise asymptotics.
A review summarizing definitions, canonical forms, exact and approximate distributions, numerical methods, applications, and open problems for quadratic forms in real and complex Gaussian variables, including multiforms and ratios.
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Power one sequential tests exist for weakly compact $\mathscr P$ against $\mathscr P^c$
Power-one sequential tests exist for testing any weakly compact null set of distributions against its complement.
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Quadratic Forms in Gaussian Random Variables Theoretical Results and Applications
A review summarizing definitions, canonical forms, exact and approximate distributions, numerical methods, applications, and open problems for quadratic forms in real and complex Gaussian variables, including multiforms and ratios.