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We use adversarial network architectures together with the Wasserstein distance to generate or refine simulated detector data. The data reflect two-dimensional projections of spatially distributed signal patterns with a broad spectrum of…

Instrumentation and Methods for Astrophysics · Physics 2018-02-12 Martin Erdmann , Lukas Geiger , Jonas Glombitza , David Schmidt

Morphological profiling is a valuable tool in phenotypic drug discovery. The advent of high-throughput automated imaging has enabled the capturing of a wide range of morphological features of cells or organisms in response to perturbations…

Suppose we are given two metric spaces and a family of continuous transformations from one to the other. Given a probability distribution on each of these two spaces - namely the source and the target measures - the Wasserstein alignment…

Probability · Mathematics 2025-03-11 Soumik Pal , Bodhisattva Sen , Ting-Kam Leonard Wong

Variational Autoencoders (VAEs) have gained significant popularity among researchers as a powerful tool for understanding unknown distributions based on limited samples. This popularity stems partly from their impressive performance and…

Machine Learning · Computer Science 2024-02-27 Saptarshi Chakraborty , Peter L. Bartlett

Motivation. Cancer heterogeneity is observed at multiple biological levels. To improve our understanding of these differences and their relevance in medicine, approaches to link organ- and tissue-level information from diagnostic images and…

Quantitative Methods · Quantitative Biology 2020-05-19 Nova F. Smedley , Suzie El-Saden , William Hsu

One common task in image forensics is to detect spliced images, where multiple source images are composed to one output image. Most of the currently best performing splicing detectors leverage high-frequency artifacts. However, after an…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Benjamin Hadwiger , Christian Riess

In this paper, we aim to synthesize cell microscopy images under different molecular interventions, motivated by practical applications to drug development. Building on the recent success of graph neural networks for learning molecular…

Biomolecules · Quantitative Biology 2020-06-16 Karren Yang , Samuel Goldman , Wengong Jin , Alex Lu , Regina Barzilay , Tommi Jaakkola , Caroline Uhler

Modeling observations as random distributions embedded within Wasserstein spaces is becoming increasingly popular across scientific fields, as it captures the variability and geometric structure of the data more effectively. However, the…

Statistics Theory · Mathematics 2026-04-08 François Bachoc , Alberto González-Sanz , Jean-Michel Loubes , Yisha Yao

Measuring similarities between different tasks is critical in a broad spectrum of machine learning problems, including transfer, multi-task, continual, and meta-learning. Most current approaches to measuring task similarities are…

Machine Learning · Computer Science 2022-08-26 Xinran Liu , Yikun Bai , Yuzhe Lu , Andrea Soltoggio , Soheil Kolouri

Recent advances in propagation-based phase-contrast imaging, such as hierarchical imaging, have enabled the visualization of internal structures in large biological specimens and material samples. However, modulation-based techniques, which…

Proper regulation of cell signaling and gene expression is crucial for maintaining cellular function, development, and adaptation to environmental changes. Reaction dynamics in cell populations is often noisy because of (i) inherent…

Quantitative Methods · Quantitative Biology 2026-05-12 Jiancheng Zhang , Xiangting Li , Xiaolu Guo , Zhaoyi You , Lucas Böttcher , Alex Mogilner , Alexander Hoffman , Tom Chou , Mingtao Xia

A common feature of methods for analyzing samples of probability density functions is that they respect the geometry inherent to the space of densities. Once a metric is specified for this space, the Fr\'echet mean is typically used to…

Methodology · Statistics 2018-12-20 Alexander Petersen , Hans-Georg Müller

This paper presents a distance-based discriminative framework for learning with probability distributions. Instead of using kernel mean embeddings or generalized radial basis kernels, we introduce embeddings based on dissimilarity of…

Machine Learning · Computer Science 2018-11-16 Alain Rakotomamonjy , Abraham Traoré , Maxime Berar , Rémi Flamary , Nicolas Courty

The automated analysis of medical images is currently limited by technical and biological noise and bias. The same source tissue can be represented by vastly different images if the image acquisition or processing protocols vary. For an…

We address the problem of computing a textural loss based on the statistics extracted from the feature activations of a convolutional neural network optimized for object recognition (e.g. VGG-19). The underlying mathematical problem is the…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Eric Heitz , Kenneth Vanhoey , Thomas Chambon , Laurent Belcour

Self-supervised learning is one of the most promising approaches to acquiring knowledge from limited labeled data. Despite the substantial advancements made in recent years, self-supervised models have posed a challenge to practitioners, as…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Franciskus Xaverius Erick , Mina Rezaei , Johanna Paula Müller , Bernhard Kainz

Recently, a Wasserstein-type distance for Gaussian mixture models has been proposed. However, that framework can only be generalized to identifiable mixtures of general elliptically contoured distributions whose components come from the…

Optimization and Control · Mathematics 2025-03-19 Keyu Chen , Zetian Wang , Yunxin Zhang

We use distributionally-robust optimization for machine learning to mitigate the effect of data poisoning attacks. We provide performance guarantees for the trained model on the original data (not including the poison records) by training…

Machine Learning · Computer Science 2020-01-30 Farhad Farokhi

Ultrasound imaging, despite its widespread use in medicine, often suffers from various sources of noise and artifacts that impact the signal-to-noise ratio and overall image quality. Enhancing ultrasound images requires a delicate balance…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Yuxin Zhang , Clément Huneau , Jérôme Idier , Diana Mateus

Zooplankton images, like many other real world data types, have intrinsic properties that make the design of effective classification systems difficult. For instance, the number of classes encountered in practical settings is potentially…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Ketil Malde , Hyeongji Kim