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A key object of study in stochastic topology is a random simplicial complex. In this work we study a multi-parameter random simplicial complex model, where the probability of including a $k$-simplex, given the lower dimensional structure,…

统计理论 · 数学 2023-09-26 Tadas Temčinas , Vidit Nanda , Gesine Reinert

Due to their conjugate posteriors, Gaussian process priors are attractive for estimating the drift of stochastic differential equations with continuous time observations. However, their performance strongly depends on the choice of the…

统计理论 · 数学 2020-02-04 Jan van Waaij

In particle-based algorithms, the effect of binary collisions is commonly described in a statistical way, using Monte Carlo techniques. It is shown that, in the relativistic regime, stringent constraints should be considered on the sampling…

等离子体物理 · 物理学 2009-11-13 F. Peano , M. Marti , L. O. Silva , G. Coppa

During the preference optimization of large language models (LLMs), distribution shifts may arise between newly generated model samples and the data used to train the reward model (RM). This shift reduces the efficacy of the RM, which in…

机器学习 · 计算机科学 2025-06-11 Tianyuan Shi , Canbin Huang , Fanqi Wan , Longguang Zhong , Ziyi Yang , Weizhou Shen , Xiaojun Quan , Ming Yan

We develop a non-empirical scheme to search for the minimum-energy escape paths from the minima of the potential surface to unknown saddle points nearby. A stochastic algorithm is constructed to move the walkers up the surface through the…

计算物理 · 物理学 2018-05-23 Ryosuke Akashi , Yuri S. Nagornov

The latent stochastic block model is a flexible and widely used statistical model for the analysis of network data. Extensions of this model to a dynamic context often fail to capture the persistence of edges in contiguous network…

统计方法学 · 统计学 2018-04-16 Riccardo Rastelli

Adaptive experimental designs have gained popularity in clinical trials and online experiments. Unlike traditional, fixed experimental designs, adaptive designs can dynamically adjust treatment randomization probabilities and other design…

统计方法学 · 统计学 2025-08-19 Wenxin Zhang , Mark van der Laan

We propose an optimal-transport-based matching method to nonparametrically estimate linear models with independent latent variables. The method consists in generating pseudo-observations from the latent variables, so that the Euclidean…

计量经济学 · 经济学 2020-01-01 Manuel Arellano , Stephane Bonhomme

Convex combinations of i.i.d. random variables without a finite mean can behave in a strikingly different way from the finite-mean case: as the weight vector becomes more balanced, the resulting combination may become stochastically larger,…

统计方法学 · 统计学 2026-03-10 Tommaso Lando , Paulo Eduardo Oliveira

In Change point detection task Likelihood Ratio Test (LRT) is sequentially applied in a sliding window procedure. Its high values indicate changes of parametric distribution in the data sequence. Correspondingly LRT values require…

统计理论 · 数学 2017-10-23 Nazar Buzun , Valeriy Avanesov

We investigate model assessment and selection in a changing environment, by synthesizing datasets from both the current time period and historical epochs. To tackle unknown and potentially arbitrary temporal distribution shift, we develop…

机器学习 · 计算机科学 2024-06-05 Elise Han , Chengpiao Huang , Kaizheng Wang

This work provides test error bounds for iterative fixed point methods on linear predictors -- specifically, stochastic and batch mirror descent (MD), and stochastic temporal difference learning (TD) -- with two core contributions: (a) a…

机器学习 · 计算机科学 2022-06-29 Matus Telgarsky

We study stable matchings that are robust to preference changes in the two-sided stable matching setting of Gale and Shapley [GS62]. Given two instances $A$ and $B$ on the same set of agents, a matching is said to be robust if it is stable…

计算机科学与博弈论 · 计算机科学 2026-01-14 Rohith Reddy Gangam , Tung Mai , Nitya Raju , Vijay V. Vazirani

Probabilistic models based on continuous latent spaces, such as variational autoencoders, can be understood as uncountable mixture models where components depend continuously on the latent code. They have proven to be expressive tools for…

机器学习 · 计算机科学 2024-06-27 Alvaro H. C. Correia , Gennaro Gala , Erik Quaeghebeur , Cassio de Campos , Robert Peharz

In binary classification tasks, accurate representation of probabilistic predictions is essential for various real-world applications such as predicting payment defaults or assessing medical risks. The model must then be well-calibrated to…

机器学习 · 计算机科学 2024-08-08 Agathe Fernandes Machado , Arthur Charpentier , Emmanuel Flachaire , Ewen Gallic , François Hu

Multi Task Learning (MTL) efficiently leverages useful information contained in multiple related tasks to help improve the generalization performance of all tasks. This article conducts a large dimensional analysis of a simple but, as we…

机器学习 · 统计学 2020-09-04 Malik Tiomoko , Romain Couillet , Hafiz Tiomoko

For estimating area-specific parameters (quantities) in a finite population, a mixed model prediction approach is attractive. However, this approach strongly depends on the normality assumption of the response values although we often…

统计方法学 · 统计学 2018-06-12 Shonosuke Sugasawa , Tatsuya Kubokawa

We describe a new approach based on tropical optimization techniques to solve the problem of rating alternatives from pairwise comparison data. The problem is formulated to approximate, in the log-Chebyshev sense, pairwise comparison…

最优化与控制 · 数学 2016-12-12 N. Krivulin

We address the problem of policy evaluation in discounted Markov decision processes, and provide instance-dependent guarantees on the $\ell_\infty$-error under a generative model. We establish both asymptotic and non-asymptotic versions of…

机器学习 · 统计学 2020-03-17 Koulik Khamaru , Ashwin Pananjady , Feng Ruan , Martin J. Wainwright , Michael I. Jordan

Probabilistic model checking can provide formal guarantees on the behavior of stochastic models relating to a wide range of quantitative properties, such as runtime, energy consumption or cost. But decision making is typically with respect…

计算机科学中的逻辑 · 计算机科学 2024-03-19 Ingy Elsayed-Aly , David Parker , Lu Feng
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