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We study an issue commonly seen with graph data analysis: many real-world complex systems involving high-order interactions are best encoded by hypergraphs; however, their datasets often end up being published or studied only in the form of…

社会与信息网络 · 计算机科学 2022-11-28 Yanbang Wang , Jon Kleinberg

The Ising model is a useful tool for studying complex interactions within a system. The estimation of such a model, however, is rather challenging, especially in the presence of high-dimensional parameters. In this work, we propose…

统计理论 · 数学 2012-08-20 Lingzhou Xue , Hui Zou , Tianxi Cai

Correlation between microstructure noise and latent financial logarithmic returns is an empirically relevant phenomenon with sound theoretical justification. With few notable exceptions, all integrated variance estimators proposed in the…

统计计算 · 统计学 2019-05-29 Stefano Peluso , Antonietta Mira , Pietro Muliere

Quantifying the similarity between two mathematical structures or datasets constitutes a particularly interesting and useful operation in several theoretical and applied problems. Aimed at this specific objective, the Jaccard index has been…

机器学习 · 计算机科学 2021-11-19 Luciano da F. Costa

We present a neural framework for learning conditional optimal transport (OT) maps between probability distributions. Our approach introduces a conditioning mechanism capable of processing both categorical and continuous conditioning…

机器学习 · 计算机科学 2026-04-02 Carlos Rodriguez-Pardo , Leonardo Chiani , Emanuele Borgonovo , Massimo Tavoni

There has been increasing interest in recent years in the development of approaches to estimate causal effects when the number of potential confounders is prohibitively large. This growth in interest has led to a number of potential…

统计方法学 · 统计学 2020-02-05 Joseph Antonelli , Matthew Cefalu

Aggregating multiple learners through an ensemble of models aim to make better predictions by capturing the underlying distribution of the data more accurately. Different ensembling methods, such as bagging, boosting, and stacking/blending,…

机器学习 · 统计学 2020-11-03 Mohsen Shahhosseini , Guiping Hu , Hieu Pham

We define joint exchangeability on arrays indexed by a vector of natural numbers with coordinates being the vertices of directed acyclic graphs (DAGs) using local isomorphisms. The notion provides a new version of exchangeability, which is…

概率论 · 数学 2021-04-23 Jiho Lee

Conditional Equi-concentration of Types on I-projections (ICET) and Extended Gibbs Conditioning Principle (EGCP) provide an extension of Conditioned Weak Law of Large Numbers and of Gibbs Conditioning Principle to the case of non-unique…

数学物理 · 物理学 2009-11-10 Marian Grendar

The real-valued Jaccard and coincidence indices, in addition to their conceptual and computational simplicity, have been verified to be able to provide promising results in tasks such as template matching, tending to yield peaks that are…

机器学习 · 计算机科学 2021-11-23 Luciano da F. Costa

In this paper, we introduce matrix weighted Bourgain-Morrey spaces and obtain two sufficient conditions for precompact sets in matrix weighted Bourgain-Morrey spaces. We prove that the dyadic average operator is bounded on some matrix…

泛函分析 · 数学 2026-03-16 Tengfei Bai , Jingshi Xu

This research report presents an extension of Cumulative of Choco constraint solver, which is useful to encode over-constrained cumulative problems. This new global constraint uses sweep and task interval violation-based algorithms.

人工智能 · 计算机科学 2009-07-07 Thierry Petit , Emmanuel Poder

We develop a set of scalable Bayesian inference procedures for a general class of nonparametric regression models. Specifically, nonparametric Bayesian inferences are separately performed on each subset randomly split from a massive…

统计理论 · 数学 2019-09-05 Zuofeng Shang , Botao Hao , Guang Cheng

In this work, we propose a global model selection criterion to estimate the graph of conditional dependencies of a random vector based on a finite sample. By global criterion, we mean optimizing a function over the entire set of possible…

统计理论 · 数学 2023-11-06 Florencia Leonardi , Magno T. F Severino

In this paper, we introduce a new learning strategy based on a seminal idea of Mojirsheibani (1999, 2000, 2002a, 2002b), who proposed a smart method for combining several classifiers, relying on a consensus notion. In many aggregation…

机器学习 · 统计学 2018-03-09 Aurélie Fischer , Mathilde Mougeot

We introduce conditional unigram tokenization, a novel approach that extends unigram tokenization by conditioning target token probabilities on source-language tokens from parallel data. Given a fixed source tokenizer, our method learns a…

计算与语言 · 计算机科学 2025-07-11 Gianluca Vico , Jindřinch Libovický

Learning the parameters of graphical models using the maximum likelihood estimation is generally hard which requires an approximation. Maximum composite likelihood estimations are statistical approximations of the maximum likelihood…

机器学习 · 计算机科学 2014-06-25 Muneki Yasuda , Shun Kataoka , Yuji Waizumi , Kazuyuki Tanaka

Emerton's theory of Jacquet modules for locally analytic representations provides necessary conditions for the existence of integral structures in locally analytic representations. These conditions are also expected to be sufficient for the…

表示论 · 数学 2024-10-10 Santosh Nadimpalli , Mihir Sheth

We present a novel preconditioning technique for proximal optimization methods that relies on graph algorithms to construct effective preconditioners. Such combinatorial preconditioners arise from partitioning the graph into forests. We…

最优化与控制 · 数学 2018-02-22 Thomas Möllenhoff , Zhenzhang Ye , Tao Wu , Daniel Cremers

In this paper we consider a generalized conditional-type Holder- inequality and investigate some classic properties of multiplication conditional expectation type operators on Orlicz-spaces.

泛函分析 · 数学 2013-05-14 Yousef Estaremi
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