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In this paper we provide a general framework for estimating symmetric properties of distributions from i.i.d. samples. For a broad class of symmetric properties we identify the easy region where empirical estimation works and the difficult…

数据结构与算法 · 计算机科学 2020-03-03 Moses Charikar , Kirankumar Shiragur , Aaron Sidford

We consider monotonic, multiple regression for a set of contiguous regions (lattice data). The regression functions permissibly vary between regions and exhibit geographical structure. We develop new Bayesian non-parametric methodology…

统计方法学 · 统计学 2019-04-16 Christian Rohrbeck , Deborah Costain , Arnoldo Frigessi

The estimation from available data of parameters governing epidemics is a major challenge. In addition to usual issues (data often incomplete and noisy), epidemics of the same nature may be observed in several places or over different…

统计方法学 · 统计学 2021-09-20 Romain Narci , Maud Delattre , Catherine Larédo , Elisabeta Vergu

The problem of joint estimation of multiple graphical models from high dimensional data has been studied in the statistics and machine learning literature, due to its importance in diverse fields including molecular biology, neuroscience…

统计方法学 · 统计学 2019-07-04 Peyman Jalali , Kshitij Khare , George Michailidis

Literatures in state space models focus on parametric inference and prediction, which fail if the state space model is not fully specified and the maximum likelihood estimation does not work. In this paper, we assume the state transition…

统计理论 · 数学 2020-12-15 Yunyi Zhang , Tingting Wang , Dimitris N. Politis

Gaussian state space models have been used for decades as generative models of sequential data. They admit an intuitive probabilistic interpretation, have a simple functional form, and enjoy widespread adoption. We introduce a unified…

机器学习 · 统计学 2016-12-06 Rahul G. Krishnan , Uri Shalit , David Sontag

We propose a statistical framework to quantify location and co-location associations of economic activities using information-theoretic measures. We relate the resulting measures to existing measures of revealed comparative advantage,…

应用统计 · 统计学 2020-04-23 Alje van Dam , Andres Gomez-Lievano , Frank Neffke , Koen Frenken

Empirical analyses on income and wealth inequality and those in other fields in economics and finance often face the difficulty that the data is heterogeneous, heavy-tailed or correlated in some unknown fashion. The paper focuses on…

计量经济学 · 经济学 2021-11-23 Rustam Ibragimov , Paul Kattuman , Anton Skrobotov

This paper develops the first comprehensive theoretical and empirical framework for analyzing AI-driven spatial distribution dynamics in metropolitan areas undergoing demographic transition. We extend New Economic Geography by formalizing…

综合经济学 · 经济学 2025-08-01 Tatsuru Kikuchi

We propose an interdisciplinary framework that combines Bayesian predictive inference, a well-established tool in Machine Learning, with Formal Methods rooted in the computer science community. Bayesian predictive inference allows for…

统计计算 · 统计学 2025-08-21 Laura Vana , Ennio Visconti , Laura Nenzi , Annalisa Cadonna , Gregor Kastner

We introduce an innovative method for incremental nonparametric probabilistic inference in high-dimensional state spaces. Our approach leverages \slices from high-dimensional surfaces to efficiently approximate posterior distributions of…

人工智能 · 计算机科学 2024-05-28 Moshe Shienman , Ohad Levy-Or , Michael Kaess , Vadim Indelman

We propose models and algorithms for learning about random directions in simplex-valued data. The models are applied to the study of income level proportions and their changes over time in a geostatistical area. There are several notable…

统计方法学 · 统计学 2023-11-01 Rayleigh Lei , XuanLong Nguyen

Biological systems commonly exhibit complex spatiotemporal patterns whose underlying generative mechanisms pose a significant analytical challenge. Traditional approaches to spatiodynamic inference rely on dimensionality reduction through…

定量方法 · 定量生物学 2025-08-01 Jun Won Park , Kangyu Zhao , Sanket Rane

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

Recent work has focused attention on statistical inference for the population distribution of the number of sexual partners based on survey data. The characteristics of these distributions are of interest as components of mathematical…

无序系统与神经网络 · 物理学 2007-05-23 Mark S. Handcock , James Holland Jones , Martina Morris

With the advancement of GPS and remote sensing technologies, large amounts of geospatial and spatiotemporal data are being collected from various domains, driving the need for effective and efficient prediction methods. Given spatial data…

机器学习 · 计算机科学 2020-12-25 Zhe Jiang

This study downscales the population and gross domestic product (GDP) scenarios given under Shared Socioeconomic Pathways (SSPs) into 0.5-degree grids. Our downscale approach has the following features: (i) it explicitly considers spatial…

应用统计 · 统计学 2017-04-14 Daisuke Murakami , Yoshiki Yamagata

In this work, we propose a Bayesian statistical model to simultaneously characterize two or more social networks defined over a common set of actors. The key feature of the model is a hierarchical prior distribution that allows us to…

社会与信息网络 · 计算机科学 2021-02-22 Juan Sosa , Brenda Betancourt

We propose a methodology for modeling and comparing probability distributions within a Bayesian nonparametric framework. Building on dependent normalized random measures, we consider a prior distribution for a collection of discrete random…

统计方法学 · 统计学 2022-06-01 Mario Beraha , Jim E. Griffin

Major decisions from governments and other large organizations rely on measurements of the populace's well-being, but making such measurements at a broad scale is expensive and thus infrequent in much of the developing world. We propose an…

计算机视觉与模式识别 · 计算机科学 2021-03-02 Jihyeon Lee , Dylan Grosz , Burak Uzkent , Sicheng Zeng , Marshall Burke , David Lobell , Stefano Ermon