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Sequential Latin hypercube designs have recently received great attention for computer experiments. Much of the work has been restricted to invariant spaces. The related systematic construction methods are inflexible while algorithmic…

Statistics Theory · Mathematics 2023-05-18 Xue-Ru Zhang , Min-Qian Liu , Dennis K. J. Lin , Yong-Dao Zhou

We study bilevel optimization problems where the lower-level problems are strongly convex and have coupled linear constraints. To overcome the potential non-smoothness of the hyper-objective and the computational challenges associated with…

Optimization and Control · Mathematics 2026-02-06 Wei Shen , Jiawei Zhang , Minhui Huang , Cong Shen

Continual learning (CL) suffers from catastrophic forgetting, which is exacerbated in domain-incremental learning (DIL) where task identifiers are unavailable and storing past data is infeasible. While prompt-based CL (PCL) adapts…

Machine Learning · Computer Science 2026-03-16 Gyutae Oh , Jungwoo Bae , Jitae Shin

In global sensitivity analysis, the well known Sobol' sensitivity indices aim to quantify how the variance in the output of a mathematical model can be apportioned to the different variances of its input random variables. These indices are…

Statistics Theory · Mathematics 2018-01-11 Nazih Benoumechiara , Kevin Elie-Dit-Cosaque

This paper studies second-order methods for nonconvex-strongly-convex bilevel optimization. We propose a novel fully second-order bilevel approximation method (FSBA) that achieves an iteration complexity of…

Optimization and Control · Mathematics 2026-05-08 Sheng Yang , Chengchang Liu , Lesi Chen , John C. S. Lui

Semi-supervised learning (SSL) arises in practice when labeled data are scarce or expensive to obtain, while large quantities of unlabeled data are readily available. With the growing adoption of machine learning techniques, it has become…

Machine Learning · Statistics 2026-05-29 Jiawei Shan , Zhifeng Chen , Yiming Dong , Yazhen Wang , Jiwei Zhao

This paper addresses sensitivity analysis for dynamic models, linking dependent inputs to observed outputs. The usual method to estimate Sobol indices are based on the independence of input variables. We present a method to overpass this…

Applications · Statistics 2015-09-15 Mathilde Grandjacques , Alexandre Janon , Benoit Delinchant , Olivier Adrot

In this paper, we study oracle-efficient algorithms for beyond worst-case analysis of online learning. We focus on two settings. First, the smoothed analysis setting of [RST11,HRS22] where an adversary is constrained to generating samples…

Machine Learning · Computer Science 2022-11-23 Nika Haghtalab , Yanjun Han , Abhishek Shetty , Kunhe Yang

Semi-supervised object detection (SSOD) based on pseudo-labeling significantly reduces dependence on large labeled datasets by effectively leveraging both labeled and unlabeled data. However, real-world applications of SSOD often face…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Moussa Kassem Sbeyti , Nadja Klein , Azarm Nowzad , Fikret Sivrikaya , Sahin Albayrak

In order to be applicable in real-world scenario, Boundary Attacks (BAs) were proposed and ensured one hundred percent attack success rate with only decision information. However, existing BA methods craft adversarial examples by leveraging…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Dan Wang , Jiayu Lin , Yuan-Gen Wang

We present a random-subspace variant of cubic regularization algorithm that chooses the size of the subspace adaptively, based on the rank of the projected second derivative matrix. Iteratively, our variant only requires access to…

Optimization and Control · Mathematics 2025-01-09 Edward Tansley , Coralia Cartis

Protein sequence optimization under tight oracle budgets requires methods that explore vast combinatorial spaces while making each evaluation informative. Existing reinforcement learning and off-policy generative approaches often degrade…

Machine Learning · Computer Science 2026-05-27 Ashima Khanna , Dominik Grimm

We demonstrate how linear differential operators could be emulated by a quantum processor, should one ever be built, using the Abrams-Lloyd algorithm. Given a linear differential operator of order 2S, acting on functions…

Quantum Physics · Physics 2015-06-26 Thomas Szkopek , Vwani Roychowdhury , Eli Yablonovitch , Daniel S. Abrams

In the framework of nonparametric multivariate function estimation we are interested in structural adaptation. We assume that the function to be estimated has the "single-index" structure where neither the link function nor the index vector…

Statistics Theory · Mathematics 2013-04-30 Oleg Lepski , Nora Serdyukova

The abundance of high-dimensional data in the modern sciences has generated tremendous interest in penalized estimators such as the lasso, scaled lasso, square-root lasso, elastic net, and many others. In this paper, we establish a general…

Statistics Theory · Mathematics 2018-03-14 Johannes Lederer , Lu Yu , Irina Gaynanova

A new gradient-based adaptive sampling method is proposed for design of experiments applications which balances space filling, local refinement, and error minimization objectives while reducing reliance on delicate tuning parameters. High…

Methodology · Statistics 2024-05-09 Lucas Caparini , Gwynn J. Elfring , Mauricio Ponga

In semi-supervised learning, methods that rely on confidence learning to generate pseudo-labels have been widely proposed. However, increasing research finds that when faced with noisy and biased data, the model's representation network is…

Computer Vision and Pattern Recognition · Computer Science 2024-04-29 Yanbiao Ma , Licheng Jiao , Fang Liu , Lingling Li , Shuyuan Yang , Xu Liu

In the framework of nonparametric multivariate function estimation we are interested in structural adaptation. We assume that the function to be estimated possesses the single-index structure where neither the link function nor the index…

Statistics Theory · Mathematics 2013-04-26 Oleg Lepski , Nora Serdyukova

Semi-supervised object detection (SSOD) has made significant progress with the development of pseudo-label-based end-to-end methods. However, many of these methods face challenges due to class imbalance, which hinders the effectiveness of…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Purbayan Kar , Vishal Chudasama , Naoyuki Onoe , Pankaj Wasnik

Semi-supervised object detection (SSOD) aims to boost detection performance by leveraging extra unlabeled data. The teacher-student framework has been shown to be promising for SSOD, in which a teacher network generates pseudo-labels for…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Honggyu Choi , Zhixiang Chen , Xuepeng Shi , Tae-Kyun Kim
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