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Images are composed as a hierarchy of object parts. We use this insight to create a generative graphical model that defines a hierarchical distribution over image parts. Typically, this leads to intractable inference due to loops in the…

计算机视觉与模式识别 · 计算机科学 2018-08-15 Sebastian Kaltwang , Sina Samangooei , John Redford , Andrew Blake

Trees are useful entities allowing to model data structures and hierarchical relationships in networked decision systems ubiquitously. An ordered tree is a rooted tree where the order of the subtrees (children) of a node is significant. In…

数据结构与算法 · 计算机科学 2020-11-10 Victor Parque , Tomoyuki Miyashita

When modeling a probability distribution with a Bayesian network, we are faced with the problem of how to handle continuous variables. Most previous work has either solved the problem by discretizing, or assumed that the data are generated…

机器学习 · 计算机科学 2013-02-21 George H. John , Pat Langley

In this work, we propose a novel deep bootstrap framework for nonparametric regression based on conditional diffusion models. Specifically, we construct a conditional diffusion model to learn the distribution of the response variable given…

机器学习 · 统计学 2026-02-12 Jinyuan Chang , Yuling Jiao , Lican Kang , Junjie Shi

We propose Composition Sampling, a simple but effective method to generate diverse outputs for conditional generation of higher quality compared to previous stochastic decoding strategies. It builds on recently proposed plan-based neural…

计算与语言 · 计算机科学 2022-03-30 Shashi Narayan , Gonçalo Simões , Yao Zhao , Joshua Maynez , Dipanjan Das , Michael Collins , Mirella Lapata

One of the fundamental problems in machine learning is the estimation of a probability distribution from data. Many techniques have been proposed to study the structure of data, most often building around the assumption that observations…

机器学习 · 统计学 2013-02-22 Oren Rippel , Ryan Prescott Adams

Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

统计方法学 · 统计学 2018-01-09 Torsten Hothorn , Achim Zeileis

Conditional generative models map input variables to complex, high-dimensional distributions, enabling realistic sample generation in a diverse set of domains. A critical challenge with these models is the absence of calibrated uncertainty,…

机器学习 · 计算机科学 2026-02-02 Qidong Yang , Qianyu Julie Zhu , Jonathan Giezendanner , Youssef Marzouk , Stephen Bates , Sherrie Wang

Despite recent advances, goal-directed generation of structured discrete data remains challenging. For problems such as program synthesis (generating source code) and materials design (generating molecules), finding examples which satisfy…

机器学习 · 计算机科学 2020-10-26 Amina Mollaysa , Brooks Paige , Alexandros Kalousis

We propose a way of transforming the problem of conditional density estimation into a single nonparametric regression task via the introduction of auxiliary samples. This allows leveraging regression methods that work well in high…

机器学习 · 统计学 2025-11-25 Alexander G. Reisach , Olivier Collier , Alex Luedtke , Antoine Chambaz

Decision trees are widely used for non-linear modeling, as they capture interactions between predictors while producing inherently interpretable models. Despite their popularity, performing inference on the non-linear fit remains largely…

统计方法学 · 统计学 2026-04-14 Soham Bakshi , Snigdha Panigrahi

How to obtain a model with good interpretability and performance has always been an important research topic. In this paper, we propose rectified decision trees (ReDT), a knowledge distillation based decision trees rectification with high…

机器学习 · 计算机科学 2020-08-25 Jiawang Bai , Yiming Li , Jiawei Li , Yong Jiang , Shutao Xia

To obtain a probabilistic model for a dependent variable based on some set of explanatory variables, a distributional approach is often adopted where the parameters of the distribution are linked to regressors. In many classical models this…

统计方法学 · 统计学 2020-01-14 Lisa Schlosser , Torsten Hothorn , Reto Stauffer , Achim Zeileis

Decision trees built with data remain in widespread use for nonparametric prediction. Predicting probability distributions is preferred over point predictions when uncertainty plays a prominent role in analysis and decision-making. We study…

统计方法学 · 统计学 2024-06-21 Sara Shashaani , Ozge Surer , Matthew Plumlee , Seth Guikema

Conditional density estimation (CDE) is a fundamental task in machine learning that aims to model the full conditional law $\mathbb{P}(\mathbf{y} \mid \mathbf{x})$, beyond mere point prediction (e.g., mean, mode). A core challenge is…

机器学习 · 计算机科学 2026-03-27 Chenglong Song , Mazharul Islam , Lin Wang , Bing Chen , Bo Yang

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

机器学习 · 统计学 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

Trees are fundamental data structure for many areas of computer science and system engineering. In this report, we show how to ensure eventual consistency of optimistically replicated trees. In optimistic replication, the different replicas…

数据结构与算法 · 计算机科学 2012-01-10 Stéphane Martin , Mehdi Ahmed-Nacer , Pascal Urso

Many engineering problems require the prediction of realization-to-realization variability or a refined description of modeled quantities. In that case, it is necessary to sample elements from unknown high-dimensional spaces with possibly…

机器学习 · 统计学 2022-01-05 Malik Hassanaly , Andrew Glaws , Karen Stengel , Ryan N. King

Recent advances in Bayesian models for random partitions have led to the formulation and exploration of Exchangeable Sequences of Clusters (ESC) models. Under ESC models, it is the cluster sizes that are exchangeable, rather than the…

统计理论 · 数学 2022-09-08 Keith Levin , Brenda Betancourt

Conditional Density Estimation (CDE) models deal with estimating conditional distributions. The conditions imposed on the distribution are the inputs of the model. CDE is a challenging task as there is a fundamental trade-off between model…

机器学习 · 统计学 2018-10-31 Vincent Dutordoir , Hugh Salimbeni , Marc Deisenroth , James Hensman