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Inferring dynamical models from low-resolution temporal data continues to be a significant challenge in biophysics, especially within transcriptomics, where separating molecular programs from noise remains an important open problem. We…

Machine Learning · Computer Science 2023-10-05 Victor Chardès , Suryanarayana Maddu , Michael J. Shelley

The density estimation is one of the core problems in statistics. Despite this, existing techniques like maximum likelihood estimation are computationally inefficient due to the intractability of the normalizing constant. For this reason an…

Machine Learning · Computer Science 2021-01-14 Tsimboy Olga , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

In large-scale systems, complex internal relationships are often present. Such interconnected systems can be effectively described by low rank stochastic processes. When identifying a predictive model of low rank processes from sampling…

Machine Learning · Computer Science 2025-01-17 Wenqi Cao , Aming Li

A significant challenge in many fields of science and engineering is making sense of time-dependent measurement data by recovering governing equations in the form of differential equations. We focus on finding parsimonious ordinary…

Machine Learning · Computer Science 2024-10-04 Doris Voina , Steven Brunton , J. Nathan Kutz

Frozen Vision Foundation Models (VFMs) with lightweight classification heads are increasingly used in medical imaging because they offer efficient and reproducible deployment. Yet noisy-label learning methods for this frozen-feature regime…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Zitong Li , Haoyu Wang

Although the standard formulations of prediction problems involve fully-observed and noiseless data drawn in an i.i.d. manner, many applications involve noisy and/or missing data, possibly involving dependence, as well. We study these…

Statistics Theory · Mathematics 2015-03-19 Po-Ling Loh , Martin J. Wainwright

Large scale image classification datasets often contain noisy labels. We take a principled probabilistic approach to modelling input-dependent, also known as heteroscedastic, label noise in these datasets. We place a multivariate Normal…

Machine Learning · Computer Science 2021-05-24 Mark Collier , Basil Mustafa , Efi Kokiopoulou , Rodolphe Jenatton , Jesse Berent

Tensor decomposition is a powerful tool for extracting physically meaningful latent factors from multi-dimensional nonnegative data, and has been an increasing interest in a variety of fields such as image processing, machine learning, and…

Machine Learning · Computer Science 2024-12-03 Xiongjun Zhang , Michael K. Ng

Training Deep neural networks (DNNs) on noisy labeled datasets is a challenging problem, because learning on mislabeled examples deteriorates the performance of the network. As the ground truth availability is limited with real-world noisy…

Machine Learning · Computer Science 2021-05-25 Sree Ram Kamabattula , Kumudha Musini , Babak Namazi , Ganesh Sankaranarayanan , Venkat Devarajan

We introduce Fourier Weak SINDy, a minimal noise-robust and interpretable derivative-free equation learning method that combines weak-form sparse equation learning with spectral density estimation for data-driven test function selection. By…

Machine Learning · Computer Science 2026-04-23 Zhiheng Chen , Urban Fasel , Anastasia Bizyaeva

Machine learning classifiers rely on loss functions for performance evaluation, often on a private (hidden) dataset. In a recent line of research, label inference was introduced as the problem of reconstructing the ground truth labels of…

Machine Learning · Computer Science 2021-11-02 Abhinav Aggarwal , Shiva Prasad Kasiviswanathan , Zekun Xu , Oluwaseyi Feyisetan , Nathanael Teissier

We develop semiparametrically efficient inference for kernel measures of noise heterogeneity in additive noise models. In many applications, the regression function is estimated using flexible machine learning methods. Downstream procedures…

Machine Learning · Statistics 2026-05-28 Jakub Wornbard , Zikai Shen , Dimitri Meunier , Arthur Gretton

Despite the recent proliferation of machine learning methods like SINDy that promise automatic discovery of governing equations from time-series data, there remain significant challenges to discovering models from noisy datasets. One reason…

Methodology · Statistics 2025-08-01 Lloyd Fung

As an example of the recently-introduced concept of rate of innovation, signals that are linear combinations of a finite number of Diracs per unit time can be acquired by linear filtering followed by uniform sampling. However, in reality,…

Applications · Statistics 2009-03-09 Vincent Y. F. Tan , Vivek K. Goyal

Recent advances in deep learning have relied on large, labelled datasets to train high-capacity models. However, collecting large datasets in a time- and cost-efficient manner often results in label noise. We present a method for learning…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Ahmet Iscen , Jack Valmadre , Anurag Arnab , Cordelia Schmid

Deep neural networks (DNNs) have been shown to over-fit a dataset when being trained with noisy labels for a long enough time. To overcome this problem, we present a simple and effective method self-ensemble label filtering (SELF) to…

Computer Vision and Pattern Recognition · Computer Science 2019-10-07 Duc Tam Nguyen , Chaithanya Kumar Mummadi , Thi Phuong Nhung Ngo , Thi Hoai Phuong Nguyen , Laura Beggel , Thomas Brox

The rapid growth of high-dimensional datasets across various scientific domains has created a pressing need for new statistical methods to compare distributions supported on their underlying structures. Assessing similarity between datasets…

Statistics Theory · Mathematics 2025-11-27 Hongrui Chen , Rong Ma

Learning from noisy labels (LNL) is a challenge that arises in many real-world scenarios where collected training data can contain incorrect or corrupted labels. Most existing solutions identify noisy labels and adopt active learning to…

Machine Learning · Computer Science 2025-04-07 Bo Yuan , Yulin Chen , Yin Zhang , Wei Jiang

The success of deep learning requires high-quality annotated and massive data. However, the size and the quality of a dataset are usually a trade-off in practice, as data collection and cleaning are expensive and time-consuming. In…

Computation and Language · Computer Science 2023-06-16 Ruibin Yuan , Hanzhi Yin , Yi Wang , Yifan He , Yushi Ye , Lei Zhang , Zhizheng Wu

In this paper, we address the challenge of deriving dynamical models from sparse and noisy data. High-quality data is crucial for symbolic regression algorithms; limited and noisy data can present modeling challenges. To overcome this, we…

Machine Learning · Computer Science 2024-10-14 Junette Hsin , Shubhankar Agarwal , Adam Thorpe , Luis Sentis , David Fridovich-Keil