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The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically…

Machine Learning · Statistics 2025-07-29 Sara M. Ichinaga , Steven L. Brunton , Aleksandr Y. Aravkin , J. Nathan Kutz

Microbiome research has immense potential for unlocking insights into human health and disease. A common goal in human microbiome research is identifying subgroups of individuals with similar microbial composition that may be linked to…

Methodology · Statistics 2025-08-21 Suppapat Korsurat , Matthew D. Koslovsky

Dynamic Distribution Decomposition (DDD) was introduced in Taylor-King et. al. (PLOS Comp Biol, 2020) as a variation on Dynamic Mode Decomposition. In brief, by using basis functions over a continuous state space, DDD allows for the fitting…

Machine Learning · Computer Science 2020-06-12 Jake P. Taylor-King , Cristian Regep , Jyothish Soman , Flawnson Tong , Catalina Cangea , Charlie Roberts

The translation of comparative genomics into clinical decision support tools often depends on the quality of sequence alignments. However, currently used methods of multiple sequence alignments suffer from significant biases and problems…

Genomics · Quantitative Biology 2023-11-30 Manal Helal , Vitali Sintchenko

Dataset distillation (DD) aims to compress large-scale datasets into compact synthetic counterparts for efficient model training. However, existing DD methods exhibit substantial performance degradation on long-tailed datasets. We identify…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Ruixi Wu , Shaobo Wang , Jiahuan Chen , Zhiyuan Liu , Yicun Yang , Zhaorun Chen , Zekai Li , Kaixin Li , Xinming Wang , Hongzhu Yi , Kai Wang , Linfeng Zhang

Microbiome data analysis is essential for understanding host health and disease, yet its inherent sparsity and noise pose major challenges for accurate imputation, hindering downstream tasks such as biomarker discovery. Existing imputation…

Machine Learning · Computer Science 2025-08-01 Rabeya Tus Sadia , Qiang Cheng

Distance weighted discrimination (DWD) is a linear discrimination method that is particularly well-suited for classification tasks with high-dimensional data. The DWD coefficients minimize an intuitive objective function, which can solved…

Methodology · Statistics 2020-10-08 Eric F. Lock

This paper studies clustering of data sequences using the k-medoids algorithm. All the data sequences are assumed to be generated from \emph{unknown} continuous distributions, which form clusters with each cluster containing a composite set…

Machine Learning · Computer Science 2019-03-27 Tiexing Wang , Qunwei Li , Donald J. Bucci , Yingbin Liang , Biao Chen , Pramod K. Varshney

In many modern applications, there is interest in analyzing enormous data sets that cannot be easily moved across computers or loaded into memory on a single computer. In such settings, it is very common to be interested in clustering.…

Computation · Statistics 2020-05-15 Hanyu Song , Yingjian Wang , David B. Dunson

Discrete diffusion models have recently emerged as a powerful class of generative models for chemistry and biology data. In these fields, the goal is to generate various samples with high rewards (e.g., drug-likeness in molecules), making…

Machine Learning · Computer Science 2026-02-11 Prin Phunyaphibarn , Minhyuk Sung

As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

Computation · Statistics 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

Recent advances in engineering technologies have enabled the collection of a large number of longitudinal features. This wealth of information presents unique opportunities for researchers to investigate the complex nature of diseases and…

Methodology · Statistics 2023-11-27 Zihang Lu , Noirrit Kiran Chandra

We propose the Deep Distance Measurement Method (DDMM) to improve retrieval accuracy in unsupervised multivariate time series similarity retrieval. DDMM enables learning of minute differences within states in the entire time series and…

Machine Learning · Computer Science 2026-03-16 Susumu Naito , Kouta Nakata , Yasunori Taguchi

Ensemble methods are commonly used in classification due to their remarkable performance. Achieving high accuracy in a data stream environment is a challenging task considering disruptive changes in the data distribution, also known as…

Machine Learning · Computer Science 2023-09-07 Soheil Abadifard , Sepehr Bakhshi , Sanaz Gheibuni , Fazli Can

Humans can learn concepts or recognize items from just a handful of examples, while machines require many more samples to perform the same task. In this paper, we build a computational model to investigate the possibility of this kind of…

Artificial Intelligence · Computer Science 2016-11-09 Wen-Chieh Fang , Yi-ting Chiang

Mixed-membership (MM) models such as Latent Dirichlet Allocation (LDA) have been applied to microbiome compositional data to identify latent subcommunities of microbial species. These subcommunities are informative for understanding the…

Applications · Statistics 2022-05-18 Patrick LeBlanc , Li Ma

In this work we examine recently proposed distance-based classification method designed for near-term quantum processing units with limited resources. We further study possibilities to reduce the quantum resources without any efficiency…

Quantum Physics · Physics 2018-03-05 Przemysław Sadowski

Distance metric learning can be viewed as one of the fundamental interests in pattern recognition and machine learning, which plays a pivotal role in the performance of many learning methods. One of the effective methods in learning such a…

Machine Learning · Computer Science 2020-02-21 Mostafa Razavi Ghods , Mohammad Hossein Moattar , Yahya Forghani

Flow cytometry is a high-throughput technology used to quantify multiple surface and intracellular markers at the level of a single cell. This enables to identify cell sub-types, and to determine their relative proportions. Improvements of…

Machine Learning · Statistics 2022-11-10 Boris P. Hejblum , Chariff Alkhassim , Raphael Gottardo , François Caron , Rodolphe Thiébaut

Most Machine Learning (ML) methods, from clustering to classification, rely on a distance function to describe relationships between datapoints. For complex datasets it is hard to avoid making some arbitrary choices when defining a distance…

Machine Learning · Statistics 2016-07-04 Gina Gruenhage , Manfred Opper , Simon Barthelme