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We propose a novel method for estimating nonseparable selection models. We show that, for a given selection function, the potential outcome distributions are nonparametrically identified from the selected outcome distributions and can be…

计量经济学 · 经济学 2026-05-05 Fan Wu , Yi Xin

Ordinal regression is an important type of learning, which has properties of both classification and regression. Here we describe a simple and effective approach to adapt a traditional neural network to learn ordinal categories. Our…

机器学习 · 计算机科学 2007-05-23 Jianlin Cheng

In randomized controlled trials, ordinal outcomes typically improve statistical efficiency over binary outcomes. The treatment effect on an ordinal outcome is usually described by the odds ratio from a proportional odds model, but this…

统计方法学 · 统计学 2026-01-01 Lindsey E. Turner , Carolyn T. Bramante , Thomas A. Murray

A novel extension of the Probabilistic Learning on Manifolds (PLoM) is presented. It makes it possible to synthesize solutions to a wide range of nonlinear stochastic boundary value problems described by partial differential equations…

机器学习 · 统计学 2021-04-07 Christian Soize , Roger Ghanem

We introduce ProM3E, a probabilistic masked multimodal embedding model for any-to-any generation of multimodal representations for ecology. ProM3E is based on masked modality reconstruction in the embedding space, learning to infer missing…

计算机视觉与模式识别 · 计算机科学 2025-11-06 Srikumar Sastry , Subash Khanal , Aayush Dhakal , Jiayu Lin , Dan Cher , Phoenix Jarosz , Nathan Jacobs

This paper extends the class of ordinal regression models with a structured interpretation of the problem by applying a novel treatment of encoded labels. The net effect of this is to transform the underlying problem from an ordinal…

机器学习 · 计算机科学 2019-06-03 Niall Twomey , Rafael Poyiadzi , Callum Mann , Raúl Santos-Rodríguez

In complex inferential tasks like question answering, machine learning models must confront two challenges: the need to implement a compositional reasoning process, and, in many applications, the need for this reasoning process to be…

计算机视觉与模式识别 · 计算机科学 2019-03-08 Ronghang Hu , Jacob Andreas , Trevor Darrell , Kate Saenko

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

统计方法学 · 统计学 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

It is often desired that ordinal regression models yield unimodal predictions. However, in many recent works this characteristic is either absent, or implemented using soft targets, which do not guarantee unimodal outputs at inference. In…

机器学习 · 统计学 2021-11-19 Uri Shaham , Igal Zaidman , Jonathan Svirsky

In recent times, deep neural networks achieved outstanding predictive performance on various classification and pattern recognition tasks. However, many real-world prediction problems have ordinal response variables, and this ordering…

机器学习 · 计算机科学 2023-06-28 Xintong Shi , Wenzhi Cao , Sebastian Raschka

We consider the dictionary learning problem, where the aim is to model the given data as a linear combination of a few columns of a matrix known as a dictionary, where the sparse weights forming the linear combination are known as…

机器学习 · 计算机科学 2019-08-29 Sirisha Rambhatla , Xingguo Li , Jarvis Haupt

Although projection-based reduced-order models (ROMs) for parameterized nonlinear dynamical systems have demonstrated exciting results across a range of applications, their broad adoption has been limited by their intrusivity: implementing…

机器学习 · 计算机科学 2021-06-18 Zhe Bai , Liqian Peng

Contraction analysis offers, through elegant mathematical developments, a unified way of designing observers for a general class of nonlinear systems, where the observer correction term is obtained by solving an infinite dimensional…

系统与控制 · 电气工程与系统科学 2024-11-15 Yasmine Marani , Israel Filho , Tareq Al-Naffouri , Taous-Meriem Laleg-Kirati

Bivariate ordered logistic models (BOLMs) are appealing to jointly model the marginal distribution of two ordered responses and their association, given a set of covariates. When the number of categories of the responses increases, the…

统计理论 · 数学 2014-07-08 Marco Enea , Gianfranco Lovison

As the most successful variant and improvement for Trust Region Policy Optimization (TRPO), proximal policy optimization (PPO) has been widely applied across various domains with several advantages: efficient data utilization, easy…

机器学习 · 计算机科学 2019-02-15 Xiangxiang Chu

Conformal prediction is a general distribution-free approach for constructing prediction sets combined with any machine learning algorithm that achieve valid marginal or conditional coverage in finite samples. Ordinal classification is…

统计方法学 · 统计学 2024-11-05 Subhrasish Chakraborty , Chhavi Tyagi , Haiyan Qiao , Wenge Guo

Deep Learning research is advancing at a fantastic rate, and there is much to gain from transferring this knowledge to older fields like Computational Fluid Dynamics in practical engineering contexts. This work compares state-of-the-art…

计算物理 · 物理学 2020-10-01 Pierre Jacquier , Azzedine Abdedou , Vincent Delmas , Azzeddine Soulaimani

In causal inference with ordinal outcomes, several interpretable estimands are functions of the probability that the potential outcome under one treatment is larger than that under another treatment for the same unit. This probability…

统计方法学 · 统计学 2026-05-13 Peiyu He , Fan Li

The ultimate goal of most scientific studies is to understand the underlying causal mechanism between the involved variables. Structural causal models (SCMs) are widely used to represent such causal mechanisms. Given an SCM, causal queries…

机器学习 · 统计学 2025-03-21 Beate Sick , Oliver Dürr

In this paper, we present a new nonintrusive reduced basis method when a cheap low-fidelity model and expensive high-fidelity model are available. The method relies on proper orthogonal decomposition (POD) to generate the high-fidelity…

机器学习 · 统计学 2019-02-06 Chuan Lu , Xueyu Zhu