Results 11 to 20 of about 96 (75)
Pathwise concentration bounds for Bayesian beliefs
Theoretical Economics, Volume 18, Issue 4, Page 1585-1622, November 2023., 2023 We show that Bayesian posteriors concentrate on the outcome distributions that approximately minimize the Kullback–Leibler divergence from the empirical distribution, uniformly over sample paths, even when the prior does not have full support. This generalizes Diaconis and Freedman's (1990) uniform convergence result to, e.g., priors that have finite ...
Drew Fudenberg +2 more
wiley +1 more source
Hypergraph Ramsey numbers of cliques versus stars
Random Structures &Algorithms, Volume 63, Issue 3, Page 610-623, October 2023., 2023 Abstract Let Km(3)$$ {K}_m^{(3)} $$ denote the complete 3‐uniform hypergraph on m$$ m $$ vertices and Sn(3)$$ {S}_n^{(3)} $$ the 3‐uniform hypergraph on n+1$$ n+1 $$ vertices consisting of all n2$$ \left(\genfrac{}{}{0ex}{}{n}{2}\right) $$ edges incident to a given vertex.
David Conlon +5 more
wiley +1 more source
High Risk, Low Reward: A Challenge to the Astronomical Value of Existential Risk Mitigation
, 2023 Philosophy &Public Affairs, Volume 51, Issue 4, Page 373-412, Fall 2023.
David Thorstad
wiley +1 more source
A Novel Form of Multiplicative Gamma Function and Its Analytical Properties
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this article, we introduce and investigate a novel Euler‐style multiplicative gamma function formulated within the framework of multiplicative calculus. This function is defined via a multiplicative integral and serves as a multiplicative analogue of the classical gamma function.
Sajedeh Norozpour +4 more
wiley +1 more source
Extension of the Risk Model From a Hawkes Variable Memory Process via the Spearman Copula
Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.The ultimate ruin probability of an insurance company throughout its operating life remains and continues to be a major and very complex concern for the latter. Although this probability of ruin can be modeled using stochastic processes, its determination remains particularly complex.
Souleymane Badini +4 more
wiley +1 more source
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova +3 more
wiley +1 more source
Robust Distance Correlation for Variable Screening
Stat, Volume 14, Issue 3, September 2025.ABSTRACT In modern statistical applications, identifying critical features in high‐dimensional data is essential for scientific discoveries. Traditional best subset selection methods face computational challenges, while regularization approaches such as Lasso, SCAD and their variants often exhibit poor performance with ultrahigh‐dimensional data.
Tianzhou Ma +3 more
wiley +1 more source
Improving the Convergence of Markov Chains via Permutations and Projections
Random Structures &Algorithms, Volume 66, Issue 4, July 2025.ABSTRACT This paper aims at improving the convergence to equilibrium of finite ergodic Markov chains via permutations and projections. First, we prove that a specific mixture of permuted Markov chains arises naturally as a projection under the KL divergence or the squared‐Frobenius norm.
Michael C. H. Choi +2 more
wiley +1 more source
Forward‐looking experimentation of correlated alternatives
Theoretical Economics, Volume 20, Issue 3, Page 883-909, July 2025.This paper studies how a forward‐looking decision maker experiments on unknown alternatives of correlated utilities. The utilities are modeled by a Brownian motion such that similar alternatives yield similar utilities. Experimentation trades off between the continuation value of exploration and the opportunity cost of exploitation.
Yu Fu Wong
wiley +1 more source
On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source