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Reliability-oriented sensitivity analysis aims at combining both reliability and sensitivity analyses by quantifying the influence of each input variable of a numerical model on a quantity of interest related to its failure. In particular,…

Statistics Theory · Mathematics 2022-10-25 Julien Demange-Chryst , François Bachoc , Jérôme Morio

Deep neural networks can memorize corrupted labels, making data quality critical for model performance, yet real-world datasets are frequently compromised by both label noise and input noise. This paper proposes a mutual information-based…

Machine Learning · Computer Science 2025-08-12 Jinghan Yang , Jiayu Weng

We measure the small-scale (comoving separation 10 kpc/h < r_p < 200 kpc/h) two-point correlation function of quasars using a sample of 26 spectroscopically confirmed binary quasars at 0.6<z<2.2 from the Sloan Digital Sky Survey Quasar Lens…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Issha Kayo , Masamune Oguri

Two-phase random textures abound in a host of contexts, porous and composite media, ecological structures, biological media and astrophysical structures. Questions surrounding the spatial structure of such textures continue to pose many…

Materials Science · Physics 2012-01-04 Yang Jiao , Sal Torquato , Frank H. Stillinger

Accurate medical image segmentation is often hindered by noisy labels in training data, due to the challenges of annotating medical images. Prior research works addressing noisy labels tend to make class-dependent assumptions, overlooking…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Erjian Guo , Zicheng Wang , Zhen Zhao , Luping Zhou

Ongoing and upcoming wide-field surveys at different wavelengths will measure the distribution of galaxy clusters with unprecedented precision, demanding accurate models for the two-point correlation function (2PCF) covariance. In this…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-21 Alessandra Fumagalli , Tiago Castro , Stefano Borgani , Milena Valentini

Deep networks have strong capacities of embedding data into latent representations and finishing following tasks. However, the capacities largely come from high-quality annotated labels, which are expensive to collect. Noisy labels are more…

Computer Vision and Pattern Recognition · Computer Science 2022-03-09 Shikun Li , Xiaobo Xia , Shiming Ge , Tongliang Liu

We investigate whether neighbor-density-weighted marked correlation functions (MCFs) can extract cosmological information beyond the standard redshift-space two-point correlation function (2PCF). Using the Kun suite of 129 $w_0w_a$CDM$+\sum…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-25 Xu Xiao , Xiao-Dong Li , Yiqi Huang , Le Zhang

The label noise transition matrix, characterizing the probabilities of a training instance being wrongly annotated, is crucial to designing popular solutions to learning with noisy labels. Existing works heavily rely on finding "anchor…

Machine Learning · Computer Science 2021-07-15 Zhaowei Zhu , Yiwen Song , Yang Liu

Constrained Concept Factorization (CCF) yields the enhanced representation ability over CF by incorporating label information as additional constraints, but it cannot classify and group unlabeled data appropriately. Minimizing the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-29 Zhao Zhang , Yan Zhang , Guangcan Liu , Jinhui Tang , Shuicheng Yan , Meng Wang

We introduce a novel statistic to probe the statistics of phases of Fourier modes in two-dimensions (2D) for weak lensing convergence field $\kappa$. This statistic contains completely independent information compared to that contained in…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 D. Munshi , R. Takahashi , J. D. McEwen , T. D. Kitching , F. R. Bouchet

We present the integrated 3-point correlation functions (3PCF) involving both the cosmic shear and the galaxy density fields. These are a set of higher-order statistics that describe the modulation of local 2-point correlation functions…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-29 Anik Halder , Zhengyangguang Gong , Alexandre Barreira , Oliver Friedrich , Stella Seitz , Daniel Gruen

In this paper, we review state-of-the-art methods for feature selection in statistics with an application-oriented eye. Indeed, sparsity is a valuable property and the profusion of research on the topic might have provided little guidance…

Methodology · Statistics 2021-11-08 Dimitris Bertsimas , Jean Pauphilet , Bart Van Parys

We present a public version of the code COFFE (COrrelation Function Full-sky Estimator) available at https://github.com/JCGoran/coffe. The code computes the galaxy two-point correlation function and its multipoles in linear perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Vittorio Tansella , Goran Jelic-Cizmek , Camille Bonvin , Ruth Durrer

The rapid expansion of large-scale electronic health record (EHR) data offers unique opportunities to improve the accuracy and efficiency of clinical risk estimation. Yet, because clinical events may occur outside the recording health…

Methodology · Statistics 2026-05-11 Jie Zhou , Enhao Wang , Xuan Wang

To collect large scale annotated data, it is inevitable to introduce label noise, i.e., incorrect class labels. To be robust against label noise, many successful methods rely on the noisy classifiers (i.e., models trained on the noisy…

Computer Vision and Pattern Recognition · Computer Science 2020-11-23 Songzhu Zheng , Pengxiang Wu , Aman Goswami , Mayank Goswami , Dimitris Metaxas , Chao Chen

Conformal prediction (CP) converts any model's output to prediction sets with a guarantee to cover the true label with (adjustable) high probability. Robust CP extends this guarantee to worst-case (adversarial) inputs. Existing baselines…

Machine Learning · Computer Science 2025-03-10 Soroush H. Zargarbashi , Aleksandar Bojchevski

Convergent Cross-Mapping (CCM) has shown high potential to perform causal inference in the absence of models. We assess the strengths and weaknesses of the method by varying coupling strength and noise levels in coupled logistic maps. We…

Chaotic Dynamics · Physics 2018-10-19 Dan Mønster , Riccardo Fusaroli , Kristian Tylén , Andreas Roepstorff , Jacob F. Sherson

Weak gravitational lensing requires precise measurements of galaxy shapes and therefore an accurate knowledge of the PSF model. The latter can be a source of systematics that affect the shear two-point correlation function. A key stake of…

The "Curse of dimensionality" is prevalent across various data patterns, which increases the risk of model overfitting and leads to a decline in model classification performance. However, few studies have focused on this issue in Partial…

Machine Learning · Computer Science 2025-06-06 Wanfu Gao , Hanlin Pan , Qingqi Han , Kunpeng Liu