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In neoadjuvant trials on early-stage breast cancer, patients are usually randomized into a control group and a treatment group with an additional target therapy. Early efficacy of the new regimen is assessed via the binary pathological…

统计方法学 · 统计学 2022-04-04 Xiaoqing Tan , Judah Abberbock , Priya Rastogi , Gong Tang

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

机器学习 · 计算机科学 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

Stochastic programming is widely used for energy system design optimization under uncertainty but can exponentially increase the computational complexity with the number of scenarios. Common scenario reduction techniques, like…

最优化与控制 · 数学 2025-08-14 Boyung Jürgens , Hagen Seele , Hendrik Schricker , Christiane Reinert , Niklas von der Assen

Despite its well-known shortcomings, $k$-means remains one of the most widely used approaches to data clustering. Current research continues to tackle its flaws while attempting to preserve its simplicity. Recently, the \textit{power…

机器学习 · 统计学 2020-01-13 Saptarshi Chakraborty , Debolina Paul , Swagatam Das , Jason Xu

Sequential Multiple-Assignment Randomized Trials (SMARTs) play an increasingly important role in psychological and behavioral health research. This experimental approach enables researchers to answer scientific questions about how to…

统计方法学 · 统计学 2023-06-21 John J. Dziak , Daniel Almirall , Walter Dempsey , Catherine Stanger , Inbal Nahum-Shani

An extensive analysis has been carried out of the performance of standard families of basis sets with the hierarchy of coupled cluster methods CC2, CCSD, CC3 and CCSDT in computing selected Oxygen, Carbon and Nitrogen K-edge (vertical) core…

化学物理 · 物理学 2019-08-13 Johanna P. Carbone , Lan Cheng , Rolf H. Myhre , Devin Matthews , Henrik Koch , Sonia Coriani

The coupled cluster iteration scheme for determining the cluster amplitudes involves a set of nonlinearly coupled difference equations. In the space spanned by the amplitudes, the set of equations are analysed as a multivariate…

The cluster perturbation theory (CPT) is one of the simplest but systematic quantum cluster approaches to lattice models of strongly correlated electrons with local interactions. By treating the inter-cluster potential, in addition to the…

强关联电子 · 物理学 2011-05-27 Matthias Balzer , Michael Potthoff

Estimating heterogeneous treatment effects is critical in domains such as personalized medicine, resource allocation, and policy evaluation. A central challenge lies in identifying subpopulations that respond differently to interventions,…

机器学习 · 统计学 2025-09-18 Zilong Wang , Turgay Ayer , Shihao Yang

The iteration dynamics of the coupled cluster equations exhibits a synergistic relationship among the cluster amplitudes. The iteration scheme may be viewed as a multivariate discrete-time propagation of nonlinearly coupled equations, which…

Power analyses are an important aspect of experimental design, because they help determine how experiments are implemented in practice. It is common to specify a desired level of power and compute the sample size necessary to obtain that…

统计方法学 · 统计学 2022-12-09 Zach Branson , Xinran Li , Peng Ding

Clustered multistate process data are commonly encountered in multicenter observational studies and clinical trials. A clinically important estimand with such data is the marginal probability of being in a particular transient state as a…

统计方法学 · 统计学 2022-09-05 Wenxian Zhou , Giorgos Bakoyannis , Ying Zhang , Constantin T Yiannoutsos

We recently proposed a novel approach to converging electronic energies equivalent to high-level coupled-cluster (CC) computations by combining the deterministic CC($P$;$Q$) formalism with the stochastic configuration interaction (CI) and…

化学物理 · 物理学 2021-03-23 J. Emiliano Deustua , Jun Shen , Piotr Piecuch

This study introduces a new approach to power analysis in the context of estimating a local average treatment effect (LATE), where the study subjects exhibit noncompliance with treatment assignment. As a result of distributional…

统计方法学 · 统计学 2020-04-10 Kirk Bansak

Staggered rollout cluster randomized experiments (SR-CREs) involve sequential treatment adoption across clusters, requiring analysis methods that address a general class of dynamic causal effects, anticipation, and non-ignorable…

统计方法学 · 统计学 2026-02-02 Xinyuan Chen , Fan Li

Non-unitary theories are commonly seen in the classical simulations of quantum systems. Among these theories, the method of moments of coupled-cluster equations (MMCCs) and the ensuing classes of the renormalized coupled-cluster (CC)…

量子物理 · 物理学 2022-12-13 Bo Peng , Karol Kowalski

In a randomised clinical trial, when the result of the primary endpoint shows a significant benefit, the secondary endpoints are scrutinised to identify additional effects of the treatment. However, this approach entails a risk of…

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

统计方法学 · 统计学 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan

Simulating energy systems is vital for energy planning to understand the effects of fluctuating renewable energy sources and integration of multiple energy sectors. Capacity expansion is a powerful tool for energy analysts and consists of…

系统与控制 · 电气工程与系统科学 2020-12-21 Mette Gamst , Stefanie Buchholz , David Pisinger

Win statistics have become increasingly popular for analyzing hierarchical composite endpoints in clinical trials, because they summarize treatment benefit through pairwise comparisons that respect the clinical importance order among…

统计方法学 · 统计学 2026-04-21 Xi Fang , Guangyu Tong , Yuan Huang , F. Perry Wilson , Patrick J. Heagerty , Fan Li