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Unimodality, pivotal in statistical analysis, offers insights into dataset structures and drives sophisticated analytical procedures. While unimodality's confirmation is straightforward for one-dimensional data using methods like…

Methodology · Statistics 2024-07-08 Prodromos Kolyvakis , Aristidis Likas

Over the last decade, the Dip-test of unimodality has gained increasing interest in the data mining community as it is a parameter-free statistical test that reliably rates the modality in one-dimensional samples. It returns a so called…

Machine Learning · Computer Science 2025-04-04 Lena G. M. Bauer , Collin Leiber , Christian Böhm , Claudia Plant

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. As such, the study of clusterability, which evaluates whether data possesses such structure, is an integral part of cluster analysis. Yet,…

Machine Learning · Computer Science 2016-02-24 Margareta Ackerman , Andreas Adolfsson , Naomi Brownstein

In this work, we propose MixMOOD - a systematic approach to mitigate effect of class distribution mismatch in semi-supervised deep learning (SSDL) with MixMatch. This work is divided into two components: (i) an extensive out of distribution…

This paper provides a new unimodality test with application in hierarchical clustering methods. The proposed method denoted by signature test (Sigtest), transforms the data based on its statistics. The transformed data has much smaller…

Machine Learning · Computer Science 2014-01-10 Mahdi Shahbaba , Soosan Beheshti

Data augmentation by mixing samples, such as Mixup, has widely been used typically for classification tasks. However, this strategy is not always effective due to the gap between augmented samples for training and original samples for…

Machine Learning · Computer Science 2019-06-21 Takuya Shimada , Shoichiro Yamaguchi , Kohei Hayashi , Sosuke Kobayashi

Increasingly massive volumes of multi-modal data are being accumulated in many {real world} settings, including in health care and e-commerce. This development calls for effective general-purpose data management solutions for multi-modal…

Databases · Computer Science 2025-07-08 Tang Qian , Yifan Zhu , Lu Chen , Xiangyu Ke , Jingwen Zhao , Tianyi Li , Yunjun Gao , Christian S. Jensen

Deciding on the unimodality of a dataset is an important problem in data analysis and statistical modeling. It allows to obtain knowledge about the structure of the dataset, ie. whether data points have been generated by a probability…

Machine Learning · Computer Science 2021-09-10 Paraskevi Chasani , Aristidis Likas

This short study presents an opportunistic approach to a (more) reliable validation method for prediction uncertainty average calibration. Considering that variance-based calibration metrics (ZMS, NLL, RCE...) are quite sensitive to the…

Machine Learning · Statistics 2024-08-27 Pascal Pernot

Large-scale datasets have been pivotal to the advancements of deep learning models in recent years, but training on such large datasets invariably incurs substantial storage and computational overhead. Meanwhile, real-world datasets often…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Suorong Yang , Peng Ye , Wanli Ouyang , Dongzhan Zhou , Furao Shen

We consider lossless compression based on statistical data modeling followed by prediction-based encoding, where an accurate statistical model for the input data leads to substantial improvements in compression. We propose DZip, a…

Machine Learning · Computer Science 2020-09-21 Mohit Goyal , Kedar Tatwawadi , Shubham Chandak , Idoia Ochoa

Multimodal learning integrates diverse modalities but suffers from modality imbalance, where dominant modalities suppress weaker ones due to inconsistent convergence rates. Existing methods predominantly rely on static modulation or…

Machine Learning · Computer Science 2026-02-11 Zhaocheng Liu , Zhiwen Yu , Xiaoqing Liu

Traditional multimodal methods often assume static modality quality, which limits their adaptability in dynamic real-world scenarios. Thus, dynamical multimodal methods are proposed to assess modality quality and adjust their contribution…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Shicai Wei , Kaijie Zhang , Luyi Chen , Tao He , Guiduo Duan

The Dip Test of Unimodality and Silverman's Critical Bandwidth Test are two popular tests to determine if an unknown density contains more than one mode. While the tests can be easily run in R, they are not included in SAS software. We…

Computation · Statistics 2018-09-06 Zachariah Neville , Naomi Brownstein

Data depth has been applied as a nonparametric measurement for ranking multivariate samples. In this paper, we focus on homogeneity tests to assess whether two multivariate samples are from the same distribution. There are many data…

Statistics Theory · Mathematics 2023-06-09 Yiting Chen , Wei Lin , Xiaoping Shi

Conformalized multiple testing offers a model-free way to control predictive uncertainty in decision-making. Existing methods typically use only part of the available data to build score functions tailored to specific settings. We propose a…

Methodology · Statistics 2026-05-22 Yuyang Huo , Xiaoyang Wu , Changliang Zou , Haojie Ren

Text-to-image generation and image captioning are recently emerged as a new experimental paradigm to assess machine intelligence. They predict continuous quantity accompanied by their sampling techniques in the generation, making evaluation…

Computer Vision and Pattern Recognition · Computer Science 2022-05-27 Jin-Hwa Kim , Yunji Kim , Jiyoung Lee , Kang Min Yoo , Sang-Woo Lee

Multimodal learning often outperforms its unimodal counterparts by exploiting unimodal contributions and cross-modal interactions. However, focusing only on integrating multimodal features into a unified comprehensive representation…

Machine Learning · Computer Science 2025-05-15 Sehwan Moon , Hyunju Lee

The design of a metric between probability distributions is a longstanding problem motivated by numerous applications in Machine Learning. Focusing on continuous probability distributions on the Euclidean space $\mathbb{R}^d$, we introduce…

Unimodality constitutes a key property indicating grouping behavior of the data around a single mode of its density. We propose a method that partitions univariate data into unimodal subsets through recursive splitting around valley points…

Machine Learning · Computer Science 2024-12-23 Paraskevi Chasani , Aristidis Likas
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