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Tree structures are ubiquitous in data across many domains, and many datasets are naturally modelled by unobserved tree structures. In this paper, first we review the theory of random fragmentation processes [Bertoin, 2006], and a number of…

机器学习 · 统计学 2015-09-17 Hong Ge , Yarin Gal , Zoubin Ghahramani

In this paper we concentrate on an alternative modeling strategy for positive data that exhibit spatial or spatio-temporal dependence. Specifically we propose to consider stochastic processes obtained trough a monotone transformation of…

统计方法学 · 统计学 2020-04-08 M. Bevilacqua , C. Caamaño , C. Gaetan

Spatially referenced data are increasingly available thanks to the development of modern GPS technology. They also provide rich opportunities for spatial analytics in the field of marketing science. Our main interest is to propose a new…

应用统计 · 统计学 2018-11-27 Won Chang , Sunghoon Kim , Heewon Chae

Spectrum analysis systems in online water quality testing are designed to detect types and concentrations of pollutants and enable regulatory agencies to respond promptly to pollution incidents. However, spectral data-based testing devices…

机器学习 · 计算机科学 2023-08-15 Haiwen Du , Zheng Ju , Yu An , Honghui Du , Dongjie Zhu , Zhaoshuo Tian , Aonghus Lawlor , Ruihai Dong

In this paper, we study the problem of learning one-dimensional Gaussian mixture models (GMMs) with a specific focus on estimating both the model order and the mixing distribution from independent and identically distributed (i.i.d.)…

机器学习 · 统计学 2026-02-24 Xinyu Liu , Hai Zhang

This note reviews our mathematical models for fish schooling, considered in free space, and in space with obstacle and food resource. These models are performed by stochastic differential equations or stochastic partial differential…

统计力学 · 物理学 2025-08-13 Linh Thi Hoai Nguyen , Ton Viet Ta , Atsushi Yagi

This work considers the problem of learning the structure of multivariate linear tree models, which include a variety of directed tree graphical models with continuous, discrete, and mixed latent variables such as linear-Gaussian models,…

机器学习 · 计算机科学 2011-11-09 Animashree Anandkumar , Kamalika Chaudhuri , Daniel Hsu , Sham M. Kakade , Le Song , Tong Zhang

This paper presents a novel method for model-free prediction of grasp poses for suction grippers with multiple suction cups. Our approach is agnostic to the design of the gripper and does not require gripper-specific training data. In…

机器人学 · 计算机科学 2023-08-01 Philipp Schillinger , Miroslav Gabriel , Alexander Kuss , Hanna Ziesche , Ngo Anh Vien

In this paper, we propose an innovative approach to thoroughly explore dataset features that introduce bias in downstream machine-learning tasks. Depending on the data format, we use different techniques to map instances into a similarity…

机器学习 · 计算机科学 2024-11-11 Samira Maghool , Paolo Ceravolo

In this paper, we provide an explicit probability distribution for classification purposes. It is derived from the Bayesian nonparametric mixture of Dirichlet process model, but with suitable modifications which remove unsuitable aspects of…

应用统计 · 统计学 2009-05-05 Ruth Fuentes-Garcia , Ramses H Mena , Stephen G Walker

In this paper we explore several approaches for sampling weight vectors in the context of weighted sum scalarisation approaches for solving multi-criteria decision making (MCDM) problems. This established method converts a multi-objective…

最优化与控制 · 数学 2025-04-18 Aled Williams , Yilun Cai

Sampling from very large spatial populations is challenging. The solutions suggested in recent literature on this subject often require that the randomly selected units are well distributed across the study region by using complex…

统计方法学 · 统计学 2017-10-26 Roberto Benedetti , Federica Piersimoni

Models that can execute natural language instructions for situated robotic tasks such as assembly and navigation have several useful applications in homes, offices, and remote scenarios. We study the semantics of spatially-referred…

计算与语言 · 计算机科学 2017-11-22 Hao Tan , Mohit Bansal

This paper studies sequence modeling for prediction tasks with long range dependencies. We propose a new formulation for state space models (SSMs) based on learning linear dynamical systems with the spectral filtering algorithm (Hazan et…

机器学习 · 计算机科学 2024-07-12 Naman Agarwal , Daniel Suo , Xinyi Chen , Elad Hazan

We consider stochastic zero-order optimization problems, which arise in settings from simulation optimization to reinforcement learning. We propose an adaptive sampling quasi-Newton method where we estimate the gradients of a stochastic…

最优化与控制 · 数学 2019-10-31 Raghu Bollapragada , Stefan M. Wild

Sup-normalized spectral functions form building blocks of max-stable and Pareto processes and therefore play an important role in modeling spatial extremes. For one of the most popular examples, the Brown-Resnick process, simulation is not…

统计理论 · 数学 2019-02-26 Marco Oesting , Martin Schlather , Claudia Schillings

Starting with a set of weighted items, we want to create a generic sample of a certain size that we can later use to estimate the total weight of arbitrary subsets. For this purpose, we propose priority sampling which tested on Internet…

数据结构与算法 · 计算机科学 2007-05-23 Nick Duffield , Carsten Lund , Mikkel Thorup

Binary classification tasks with imbalanced classes pose significant challenges in machine learning. Traditional classifiers often struggle to accurately capture the characteristics of the minority class, resulting in biased models with…

机器学习 · 计算机科学 2025-10-10 Hossein Moosaei , Milan Hladík , Ahmad Mousavi , Zheming Gao , Haojie Fu

We introduce a general Bayesian framework for graph matching grounded in a new theory of exchangeable random permutations. Leveraging the cycle representation of permutations and the literature on exchangeable random partitions, we define,…

统计方法学 · 统计学 2026-02-03 Francesco Gaffi , Nathaniel Josephs , Lizhen Lin

In a multicellular organism different cell types express a gene in different amounts. Samples from which gene expression levels can be measured typically contain a mixture of different cell types, the resulting measurements thus give only…

定量方法 · 定量生物学 2017-08-09 Nico Riedel , Johannes Berg