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Nonlinear (deterministic and stochastic) optimal control problems are often solved on embedded devices using first-order numerical optimisation methods. The gradient computation accounts for a significant part of the computation cost per…

Optimization and Control · Mathematics 2023-06-21 Jie Lin , Ruairi Moran , Pantelis Sopasakis

We study the robust best-arm identification problem (RBAI) in the case of linear rewards. The primary objective is to identify a near-optimal robust arm, which involves selecting arms at every round and assessing their robustness by…

Machine Learning · Computer Science 2023-11-09 Wei Wang , Sattar Vakili , Ilija Bogunovic

In a group sequential clinical trial, accumulated data are analysed at numerous time-points in order to allow early decisions about a hypothesis of interest. These designs have historically been recommended for their ethical, administrative…

Computation · Statistics 2017-11-29 Michael Grayling , James Wason , Adrian Mander

Recent studies have addressed the concern of detecting and rejecting the out-of-distribution (OOD) samples as a major challenge in the safe deployment of deep learning (DL) models. It is desired that the DL model should only be confident…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Umar Khalid , Ashkan Esmaeili , Nazmul Karim , Nazanin Rahnavard

Understanding and characterizing the subspaces of adversarial examples aid in studying the robustness of deep neural networks (DNNs) to adversarial perturbations. Very recently, Ma et al. (ICLR 2018) proposed to use local intrinsic…

Machine Learning · Computer Science 2018-04-11 Pei-Hsuan Lu , Pin-Yu Chen , Chia-Mu Yu

Our ultimate goal is to build robust policies for robots that assist people. What makes this hard is that people can behave unexpectedly at test time, potentially interacting with the robot outside its training distribution and leading to…

Artificial Intelligence · Computer Science 2023-10-17 Jerry Zhi-Yang He , Zackory Erickson , Daniel S. Brown , Anca D. Dragan

A posteriori error estimates based on residuals can be used for reliable error control of numerical methods. Here, we consider them in the context of ordinary differential equations and Runge-Kutta methods. In particular, we take the…

Numerical Analysis · Mathematics 2024-09-25 Hendrik Ranocha , Jan Giesselmann

Linear discriminant analysis (LDA) is a powerful tool in building classifiers with easy computation and interpretation. Recent advancements in science technology have led to the popularity of datasets with high dimensions, high orders and…

Computation · Statistics 2019-04-09 Yuqing Pan , Qing Mai , Xin Zhang

We propose a conceptually simple and lightweight framework for improving the robustness of vision models through the combination of knowledge distillation and data augmentation. We address the conjecture that larger models do not make for…

Machine Learning · Computer Science 2024-02-06 Andy Zhou , Jindong Wang , Yu-Xiong Wang , Haohan Wang

Stimulated Raman adiabatic passage (STIRAP) is a widely used protocol to realize high-fidelity and robust quantum control in various quantum systems. However, further application of this protocol in superconducting qubits is limited by…

Background: Interrupted time series analysis (ITSA) is widely used to evaluate health policy and intervention effects. While multiple-group ITSA (MG-ITSA) improves causal inference by incorporating a control group, residual confounding from…

Applications · Statistics 2026-04-28 Ariel Linden

Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be corrupted in many other ways, such as systematic measurement errors and missing covariates. We generalize the…

Statistics Theory · Mathematics 2020-12-15 Banghua Zhu , Jiantao Jiao , Jacob Steinhardt

Adversarial training is one effective approach for training robust deep neural networks against adversarial attacks. While being able to bring reliable robustness, adversarial training (AT) methods in general favor high capacity models,…

Cryptography and Security · Computer Science 2021-08-19 Bojia Zi , Shihao Zhao , Xingjun Ma , Yu-Gang Jiang

Three major challenges in reinforcement learning are the complex dynamical systems with large state spaces, the costly data acquisition processes, and the deviation of real-world dynamics from the training environment deployment. To…

Machine Learning · Computer Science 2024-06-04 Shyam Sundhar Ramesh , Pier Giuseppe Sessa , Yifan Hu , Andreas Krause , Ilija Bogunovic

We introduce DiffAug, a simple and efficient diffusion-based augmentation technique to train image classifiers for the crucial yet challenging goal of improved classifier robustness. Applying DiffAug to a given example consists of one…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Chandramouli Sastry , Sri Harsha Dumpala , Sageev Oore

Neural networks' lack of robustness against attacks raises concerns in security-sensitive settings such as autonomous vehicles. While many countermeasures may look promising, only a few withstand rigorous evaluation. Defenses using random…

Cryptography and Security · Computer Science 2022-07-18 Chawin Sitawarin , Zachary Golan-Strieb , David Wagner

Large Language Models employing extended chain-of-thought (CoT) reasoning often suffer from the overthinking phenomenon, generating excessive and redundant reasoning steps that increase computational costs while potentially degrading…

Computation and Language · Computer Science 2026-04-14 Aryasomayajula Ram Bharadwaj

We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

Machine Learning · Statistics 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang

Shortcuts to adiabaticity (STA) provide control protocols to guide the dynamics of a quantum system through an adiabatic reference trajectory in an arbitrary prescheduled time. Designing STA proves challenging in complex quantum systems…

Quantum Physics · Physics 2018-08-09 C. W. Duncan , A. del Campo

The Difference-in-Differences (DiD) method is a fundamental tool for causal inference, yet its application is often complicated by missing data. Although recent work has developed robust DiD estimators for complex settings like staggered…

Methodology · Statistics 2026-01-27 Lorenzo Testa , Edward H. Kennedy , Matthew Reimherr
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