{"total":10,"items":[{"citing_arxiv_id":"2605.16593","ref_index":246,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Policy Learning with Observational Data: The Case of Hepatitis C Treatment for HIV/HCV Co-Infected Patients","primary_cat":"stat.AP","submitted_at":"2026-05-15T19:56:25+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"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.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.09577","ref_index":81,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Quadratic Forms in Gaussian Random Variables Theoretical Results and Applications","primary_cat":"eess.SP","submitted_at":"2026-05-10T14:40:25+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":1.0,"formal_verification":"none","one_line_summary":"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.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"Hence, the moments can be linked to the CDF of an indefinite form via integration by parts E[Rp] = ∫ U L rp [ d drFR(r) ] dr =U p−p ∫ R L rp−1FR(r)dr Bao and Kan [12] report and produce a number of formulae for the evaluation of the moments. However, in this section, we are only concerned with the relation with indefinite forms. Bao and Kan [12] generalize the work of Hillier et al. [81] to provide an infinite series representation for the moment of a ratio of quadratic forms with a positive semi-definite denominator. Consider a ratio of quadratic forms of Gaussian random variables (QFRatio) R= xTAx xTBx,x∼N N(µ,IN)8 7Generalized fractional moments of a ratioR= Q1 Q2 withQ 1 =x TAxandQ 2 =x TBxareE [ Qp 1 Qq 2 ] wherepandq are real numbers."},{"citing_arxiv_id":"2604.07744","ref_index":43,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The Condition-Number Principle for Prototype Clustering","primary_cat":"stat.ML","submitted_at":"2026-04-09T03:03:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"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.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"observable geometric quantities with empirical optimization gaps to produce conservative certificates of structural stability. 1.3.Related work.This paper contributes to several streams of literature. First, a large statistical literature studies clustering recovery under explicit generative assumptions, espe- cially finite mixtures. Foundational identifiability results are due to [43, 44], while classi- cal work by [41, 42] proves consistency of empiricalk-means minimizers. Related anal- yses in empirical vector quantization further establish convergence-rate results for empir- ically optimal quantizers under additional regularity conditions [2]. Consistency results have been established for related methods such ask-medoids [25]."},{"citing_arxiv_id":"2604.03218","ref_index":6,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Power one sequential tests exist for weakly compact $\\mathscr P$ against $\\mathscr P^c$","primary_cat":"math.ST","submitted_at":"2026-04-03T17:45:42+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Power-one sequential tests exist for testing any weakly compact null set of distributions against its complement.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"sequential test of level at mostαwith power one againstQ. As a consequence, under the second assumption in our theorem 1, a level- α sequential power-one test exists if and only ifKL inf(Q,P)>0. The proof relies on the following nonasymptotic version of Sanov's theorem. Note that our lemma's hypothesis also entails that Csisz' ar's assumption of almost complete convexity holds. Lemma 4(Csisz' ar [6]).Let P∈ M 1(X)and let C⊆ M 1(X)be convex and weakly closed. Define An :={ bQn ∈C} ⊆X n. Then it follows that for everyn≥1, P n(An)≤exp \u0010 −ninf R∈C KL(R∥P) \u0011 . Proof of Proposition 1. Let's start with showing that ifd = 0, then power one is impossible to achieve. To this end, first assume that d = 0. Then it must be the case that for each n∈N , the exists Pn ∈ P"},{"citing_arxiv_id":"2601.04612","ref_index":17,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The Strong Law of Large Numbers for random semigroups with unbounded generators on uniformly smooth Banach spaces","primary_cat":"math.FA","submitted_at":"2026-01-08T05:38:33+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"A strong law of large numbers holds for random semigroups with unbounded generators in the strong operator topology on uniformly smooth Banach spaces.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2510.09028","ref_index":29,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Drift estimation for rough processes under small noise asymptotic : QMLE approach","primary_cat":"math.ST","submitted_at":"2025-10-10T05:59:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"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.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2504.04267","ref_index":48,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Efficient Rejection Sampling in the Entropy-Optimal Range","primary_cat":"cs.DS","submitted_at":"2025-04-05T19:45:44+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"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).","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2503.03347","ref_index":20,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Drift estimation for rough processes under small noise asymptotic : trajectory fitting method","primary_cat":"math.ST","submitted_at":"2025-03-05T10:16:06+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Constructs a consistent and asymptotically normal trajectory fitting estimator for the drift parameter θ* in singular-kernel stochastic Volterra equations under small-noise asymptotics.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2502.04280","ref_index":63,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Mean-Field Analysis of Latent Variable Process Models on Dynamically Evolving Graphs with Feedback Effects","primary_cat":"math.PR","submitted_at":"2025-02-06T18:27:13+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"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.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2401.03937","ref_index":42,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Cutoff for mixtures of permuted Markov chains: reversible case","primary_cat":"math.PR","submitted_at":"2024-01-08T14:57:20+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Proves cutoff at entropic time log n/h for reversible mixtures of permuted Markov chains under mild assumptions on the base chains.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}