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Determining whether inputs are out-of-distribution (OOD) is an essential building block for safely deploying machine learning models in the open world. However, previous methods relying on the softmax confidence score suffer from…

Machine Learning · Computer Science 2021-04-27 Weitang Liu , Xiaoyun Wang , John D. Owens , Yixuan Li

Recent work has shown that standard training via empirical risk minimization (ERM) can produce models that achieve high accuracy on average but low accuracy on underrepresented groups due to the prevalence of spurious features. A…

Machine Learning · Computer Science 2023-05-11 Yachuan Liu , Bohan Zhang , Qiaozhu Mei , Paramveer Dhillon

In this paper we study the problem of measuring and testing joint independence for a collection of multivariate random variables. Using the emerging theory of optimal transport (OT) based multivariate ranks, we propose a distribution-free…

Statistics Theory · Mathematics 2022-12-01 Ziang Niu , Bhaswar B. Bhattacharya

High-level penetration of intermittent renewable energy sources (RESs) has introduced significant uncertainties into modern power systems. In order to rapidly and economically respond to the fluctuations of power system operating state,…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Pengfei Wu , Chen Chen , Dexiang Lai , Jian Zhong

Global Optimization with First-principles Energy Expressions (GOFEE) is an efficient method for identifying low energy structures in computationally expensive energy landscapes such as the ones described by density functional theory (DFT),…

Chemical Physics · Physics 2023-07-06 Malthe K. Bisbo , Bjørk Hammer

Energy efficient mobility management is an important problem in modern wireless networks with heterogeneous cell sizes and increased nodes densities. We show that optimization-based mobility protocols cannot achieve long-term optimal energy…

Networking and Internet Architecture · Computer Science 2016-08-30 Cong Shen , Cem Tekin , Mihaela van der Schaar

In this paper, we propose a general framework for distribution-free nonparametric testing in multi-dimensions, based on a notion of multivariate ranks defined using the theory of measure transportation. Unlike other existing proposals in…

Statistics Theory · Mathematics 2019-10-08 Nabarun Deb , Bodhisattva Sen

To deploy machine learning models in the real world, researchers have proposed many OOD detection algorithms to help models identify unknown samples during the inference phase and prevent them from making untrustworthy predictions. Unlike…

Machine Learning · Computer Science 2025-02-25 Heng Gao , Zhuolin He , Jian Pu

The increase in renewable energy sources (RESs), like wind or solar power, results in growing uncertainty also in transmission grids. This affects grid stability through fluctuating energy supply and an increased probability of overloaded…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

The sign test (Arbuthnott, 1710) and the Wilcoxon signed-rank test (Wilcoxon, 1945) are among the first examples of a nonparametric test. These procedures -- based on signs, (absolute) ranks and signed-ranks -- yield distribution-free tests…

Methodology · Statistics 2023-05-04 Zhen Huang , Bodhisattva Sen

Most signal processing and statistical applications heavily rely on specific data distribution models. The Gaussian distributions, although being the most common choice, are inadequate in most real world scenarios as they fail to account…

Statistics Theory · Mathematics 2023-04-17 Ilya Soloveychik

Out-of-distribution (OOD) data poses serious challenges in deployed machine learning models, so methods of predicting a model's performance on OOD data without labels are important for machine learning safety. While a number of methods have…

A common disadvantage in existing distribution-free two-sample testing approaches is that the computational complexity could be high. Specifically, if the sample size is $N$, the computational complexity of those two-sample tests is at…

Methodology · Statistics 2017-07-18 Cheng Huang , Xiaoming Huo

The increase in renewable energy sources (RESs), like wind or solar power, results in growinguncertainty also in transmission grids. This affects grid stability through fluctuating energy supplyand an increased probability of overloaded…

Systems and Control · Electrical Eng. & Systems 2022-12-07 Rebecca Bauer , Tillmann Mühlpfordt , Nicole Ludwig , Veit Hagenmeyer

Out of distribution (OOD) robustness in autonomous driving is often reduced to a single number, hiding what breaks a policy. We decompose environments along five axes: scene (rural/urban), season, weather, time (day/night), and agent mix;…

Robotics · Computer Science 2026-02-10 Amir Mallak , Alaa Maalouf

Recently there have been many research efforts in developing generative models for self-exciting point processes, partly due to their broad applicability for real-world applications. However, rarely can we quantify how well the generative…

Statistics Theory · Mathematics 2021-02-15 Song Wei , Shixiang Zhu , Minghe Zhang , Yao Xie

We consider offline reinforcement learning (RL) methods in possibly nonstationary environments. Many existing RL algorithms in the literature rely on the stationarity assumption that requires the system transition and the reward function to…

Machine Learning · Statistics 2025-01-07 Mengbing Li , Chengchun Shi , Zhenke Wu , Piotr Fryzlewicz

It has recently been shown that an unbinned distance-based statistic, the energy, can be used to construct an extremely powerful nonparametric multivariate two sample goodness-of-fit test. An extension to this method that makes it possible…

Data Analysis, Statistics and Probability · Physics 2011-10-11 Mike Williams

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

Methodology · Statistics 2021-03-05 Lizhen Nie , Dan L. Nicolae

Detecting Out-of-Distribution (OOD) samples in real world visual applications like classification or object detection has become a necessary precondition in today's deployment of Deep Learning systems. Many techniques have been proposed, of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Abhishek Joshi , Sathish Chalasani , Kiran Nanjunda Iyer