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Difference-in-differences (DiD) is a cornerstone of causal inference, yet extending it to functional outcomes is not a routine scalar generalization; rather, it entails three fundamental challenges in identification, inference, and…

统计方法学 · 统计学 2026-05-29 Junzhu Nie , Chengxiu Ling , Mengfei Ran

Bilevel programming has recently received a great deal of attention due to its abundant applications in many areas. The optimal value function approach provides a useful reformulation of the bilevel problem, but its utility is often limited…

最优化与控制 · 数学 2025-06-10 Jan Harold Alcantara , Akiko Takeda

Many strategic decision-making problems, such as environment design for warehouse robots, can be naturally formulated as bi-level reinforcement learning (RL), where a leader agent optimizes its objective while a follower solves a Markov…

机器学习 · 计算机科学 2026-04-01 Mikoto Kudo , Takumi Tanabe , Akifumi Wachi , Youhei Akimoto

Hyperparameter optimization in machine learning is often achieved using naive techniques that only lead to an approximate set of hyperparameters. Although techniques such as Bayesian optimization perform an intelligent search on a given…

机器学习 · 计算机科学 2023-06-21 Ankur Sinha , Satender Gunwal , Shivam Kumar

A new sparse semiparametric model is proposed, which incorporates the influence of two functional random variables in a scalar response in a flexible and interpretable manner. One of the functional covariates is included through a…

统计方法学 · 统计学 2024-01-29 Silvia Novo , Philippe Vieu , Germán Aneiros

Bilevel optimization is a key framework in hierarchical decision-making, where one problem is embedded within the constraints of another. In this work, we propose a control-theoretic approach to solving bilevel optimization problems. Our…

最优化与控制 · 数学 2025-03-25 Sina Sharifi , Nazanin Abolfazli , Erfan Yazdandoost Hamedani , Mahyar Fazlyab

We present a novel regularization approach to train neural networks that enjoys better generalization and test error than standard stochastic gradient descent. Our approach is based on the principles of cross-validation, where a validation…

计算机视觉与模式识别 · 计算机科学 2018-09-06 Simon Jenni , Paolo Favaro

Estimators of doubly robust functionals typically rely on estimating two complex nuisance functions, such as the propensity score and conditional outcome mean for the average treatment effect functional. We consider the problem of how to…

统计理论 · 数学 2026-03-10 Sean McGrath , Rajarshi Mukherjee

Bilevel optimization reveals the inner structure of otherwise oblique optimization problems, such as hyperparameter tuning, neural architecture search, and meta-learning. A common goal in bilevel optimization is to minimize a…

最优化与控制 · 数学 2026-04-29 Lesi Chen , Jing Xu , Jingzhao Zhang

Arising in semi-parametric statistics, control applications, and as sub-problems in global optimization methods, certain optimization problems can have objective functions requiring numerical integration to evaluate, yet gradient function…

最优化与控制 · 数学 2025-03-06 Christian Varner , Vivak Patel

The acquisition of explicit user feedback (e.g., ratings) in real-world recommender systems is often hindered by the need for active user involvement. To mitigate this issue, implicit feedback (e.g., clicks) generated during user browsing…

信息检索 · 计算机科学 2023-06-02 Zongwei Wang , Min Gao , Wentao Li , Junliang Yu , Linxin Guo , Hongzhi Yin

With the development of large-scale models, traditional distributed bilevel optimization algorithms cannot be applied directly in low-resource clients. The key reason lies in the excessive computation involved in optimizing both the lower-…

分布式、并行与集群计算 · 计算机科学 2026-01-01 Mingyi Li , Xiao Zhang , Ruisheng Zheng , Hongjian Shi , Yuan Yuan , Xiuzhen Cheng , Dongxiao Yu

Functional data are frequently accompanied by a parametric template that describes the typical shapes of the functions. However, these parametric templates can incur significant bias, which undermines both utility and interpretability. To…

统计方法学 · 统计学 2022-05-18 Daniel R. Kowal , Antonio Canale

We consider the problem of learning error covariance matrices for robotic state estimation. The convergence of a state estimator to the correct belief over the robot state is dependent on the proper tuning of noise models. During inference,…

机器人学 · 计算机科学 2023-09-19 Mohamad Qadri , Zachary Manchester , Michael Kaess

Stochastic neurons can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such stochastic neurons, i.e.,…

机器学习 · 计算机科学 2013-05-15 Yoshua Bengio

We consider a bilevel learning framework for learning linear operators. In this framework, the learnable parameters are optimized via a loss function that also depends on the minimizer of a convex optimization problem (denoted lower-level…

We study optimal procedures for estimating a linear functional based on observational data. In many problems of this kind, a widely used assumption is strict overlap, i.e., uniform boundedness of the importance ratio, which measures how…

统计理论 · 数学 2023-01-18 Wenlong Mou , Peng Ding , Martin J. Wainwright , Peter L. Bartlett

Bayesian meta-learning enables robust and fast adaptation to new tasks with uncertainty assessment. The key idea behind Bayesian meta-learning is empirical Bayes inference of hierarchical model. In this work, we extend this framework to…

机器学习 · 计算机科学 2020-11-19 Yayi Zou , Xiaoqi Lu

Bilevel optimization has arisen as a powerful tool in modern machine learning. However, due to the nested structure of bilevel optimization, even gradient-based methods require second-order derivative approximations via Jacobian- or/and…

机器学习 · 计算机科学 2022-06-07 Daouda Sow , Kaiyi Ji , Yingbin Liang

This paper introduces a direct differentiation-based framework that unifies the derivation of influence functions across parametric, nonparametric, and semiparametric models. We show that the Riesz representer of the functional derivative…

计量经济学 · 经济学 2026-05-04 Xiye Yang , Ruonan Xu