Transport transforms for biomedical data modeling, estimation, and classification

该项目的目标是开发一种新的数学和计算 从生物医学数据中提取的建模框架 例如电压、光谱（例如质量，磁共振， 阻抗、光吸收、.）、显微镜或放射学图像、基因 表情，还有很多。科学家们希望了解 不同分子和细胞测量之间的关系通常 面临的问题涉及破译不同细胞之间的差异， 器官测量当前的方法（例如，特征工程和 分类，端到端神经网络）通常被视为“黑匣子”， 因为它们与任何生物机械效应都没有联系。的方法 我们建议从头开始构建一个全新的建模框架， 基于最近开发的可逆变换构建。因此，它允许 在原始数据空间中表示的任何机器学习模型，允许 不仅提高了预测的准确性，而且直接可视化， 解释。作为上一个融资期的结果，我们目前的 处理时， 在准确性方面以宽的裕度分割信号和图像， 计算复杂性，所需的训练数据量，可解释性和 对分布外样本的稳健性。在现阶段，我们力求 将该方法从分割的图像和信号推广到几乎任何 数据集类型。我们将探索在细胞计数中的概念应用的证明， 病理学和放射组学

The goal of the project is to develop a new mathematical and computational modeling framework for from biomedical data extracted from biomedical experiments such as voltages, spectra (e.g. mass, magnetic resonance, impedance, optical absorption, …), microscopy or radiology images, gene expression, and many others. Scientists who are looking to understand relationships between different molecular and cellular measurements are often faced with questions involving deciphering differences between different cell or organ measurements. Current approaches (e.g. feature engineering and classification, end-to-end neural networks) are often viewed as “black boxes,” given their lack of connection to any biological mechanistic effects. The approach we propose builds from the “ground up” an entirely new modeling framework build based on recently developed invertible transformation. As such, it allows for any machine learning model to be represented in original data space, allowing for not only increased accuracy in prediction, but also direct visualization and interpretation. As an outcome of the previous funding period, our current approach outperforms other mathematical modeling tools when processing segmented signals and images by a wide margin in terms of accuracy, computational complexity, amount of training data needed, interpretability and robustness to out of distribution samples. In this current phase we seek to generalize the method beyond segmented images and signals to virtually any dataset type. We will explore proof of concept applications in cytometry, pathology, and radiomics.