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We introduce a new class of non-linear models for functional data based on neural networks. Deep learning has been very successful in non-linear modeling, but there has been little work done in the functional data setting. We propose two…

Machine Learning · Computer Science 2023-05-11 Aniruddha Rajendra Rao , Matthew Reimherr

The maximum utility estimation proposed by Elliott and Lieli (2013) can be viewed as cost-sensitive binary classification; thus, its in-sample overfitting issue is similar to that of perceptron learning. A utility-maximizing prediction rule…

Econometrics · Economics 2021-09-29 Jiun-Hua Su

In this work, we propose new objective functions to train deep neural network based density ratio estimators and apply it to a change point detection problem. Existing methods use linear combinations of kernels to approximate the density…

Machine Learning · Computer Science 2019-05-27 Haidar Khan , Lara Marcuse , Bülent Yener

The success of deep learning has inspired recent interests in applying neural networks in statistical inference. In this paper, we investigate the use of deep neural networks for nonparametric regression with measurement errors. We propose…

Machine Learning · Statistics 2020-07-16 Zhirui Hu , Zheng Tracy Ke , Jun S Liu

We describe a nonlinear generalization of dual dynamic programming theory and its application to value function estimation for deterministic control problems over continuous state and action spaces, in a discrete-time infinite horizon…

Optimization and Control · Mathematics 2018-10-05 Joseph Warrington , Paul N. Beuchat , John Lygeros

Within the family of explainable machine-learning, we present Fredholm neural networks (Fredholm NNs): deep neural networks (DNNs) architectures motivated by fixed-point iteration schemes for the solution of linear and nonlinear Fredholm…

Numerical Analysis · Mathematics 2025-12-09 Kyriakos Georgiou , Constantinos Siettos , Athanasios N. Yannacopoulos

We provide a theoretical foundation for non-parametric estimation of functions of random variables using kernel mean embeddings. We show that for any continuous function $f$, consistent estimators of the mean embedding of a random variable…

Machine Learning · Statistics 2018-06-04 Carl-Johann Simon-Gabriel , Adam Ścibior , Ilya Tolstikhin , Bernhard Schölkopf

In this paper we consider a broad class of infinite horizon discrete-time optimal control models that involve a nonnegative cost function and an affine mapping in their dynamic programming equation. They include as special cases classical…

Optimization and Control · Mathematics 2017-11-29 Dimitri Bertsekas

Neural estimators are simulation-based estimators for the parameters of a family of statistical models, which build a direct mapping from the sample to the parameter vector. They benefit from the versatility of available network…

Machine Learning · Statistics 2025-06-24 Almut Rödder , Manuel Hentschel , Sebastian Engelke

Distributed systems have been widely used in practice to accomplish data analysis tasks of huge scales. In this work, we target on the estimation problem of generalized linear models on a distributed system with nonrandomly distributed…

Methodology · Statistics 2020-04-07 Feifei Wang , Danyang Huang , Yingqiu Zhu , Hansheng Wang

We propose a method to debias estimators based on U-statistics with Machine Learning (ML) first-steps. Standard plug-in estimators often suffer from regularization and model-selection biases, producing invalid inferences. We show that…

Econometrics · Economics 2025-10-09 Juan Carlos Escanciano , Joël Robert Terschuur

Recent advancements in edge computing have significantly enhanced the AI capabilities of Internet of Things (IoT) devices. However, these advancements introduce new challenges in knowledge exchange and resource management, particularly…

Machine Learning · Computer Science 2024-10-14 Gleb Radchenko , Victoria Andrea Fill

Motivated by the successes of deep learning, we propose a class of neural network-based discrete choice models, called RUMnets, inspired by the random utility maximization (RUM) framework. This model formulates the agents' random utility…

Machine Learning · Computer Science 2023-07-21 Ali Aouad , Antoine Désir

Neural networks (NNs) can achieved high performance in various fields such as computer vision, and natural language processing. However, deploying NNs in resource-constrained safety-critical systems has challenges due to uncertainty in the…

Machine Learning · Computer Science 2024-01-17 Soyed Tuhin Ahmed

In this work we consider a model problem of deep neural learning, namely the learning of a given function when it is assumed that we have access to its point values on a finite set of points. The deep neural network interpolant is the the…

Machine Learning · Statistics 2023-06-27 Michail Loulakis , Charalambos G. Makridakis

We propose a novel unsupervised object localization method that allows us to explain the predictions of the model by utilizing self-supervised pre-trained models without additional finetuning. Existing unsupervised and self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-09-11 Yeonghwan Song , Seokwoo Jang , Dina Katabi , Jeany Son

We present a new convolutional neural network-based time-series model. Typical convolutional neural network (CNN) architectures rely on the use of max-pooling operators in between layers, which leads to reduced resolution at the top layers.…

Machine Learning · Statistics 2015-08-04 Roni Mittelman

Neural Ordinary Differential Equations (Neural ODEs), as a novel category of modeling big data methods, cleverly link traditional neural networks and dynamical systems. However, it is challenging to ensure the dynamics system reaches a…

Optimization and Control · Mathematics 2024-11-15 Chaoyang Luo , Yan Zou , Wanying Li , Nanjing Huang

Reliable probability estimation is of crucial importance in many real-world applications where there is inherent (aleatoric) uncertainty. Probability-estimation models are trained on observed outcomes (e.g. whether it has rained or not, or…

Interactive fixed effects are routinely controlled for in linear panel models. While an analogous fixed effects (FE) estimator for nonlinear models has been available in the literature (Chen, Fernandez-Val and Weidner, 2021), it sees much…

Econometrics · Economics 2026-03-25 Andrei Zeleneev , Weisheng Zhang
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