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Motivation: Despite its great success in various physical modeling, differential geometry (DG) has rarely been devised as a versatile tool for analyzing large, diverse and complex molecular and biomolecular datasets due to the limited…

定量方法 · 定量生物学 2018-06-12 Duc Duy Nguyen , Guo-Wei Wei

Independent Component Analysis (ICA) is a computational technique for revealing latent factors that underlie sets of measurements or signals. It has become a standard technique in functional neuroimaging. In functional neuroimaging, so…

This paper deals with an abstraction of a unified problem of drug discovery and pathogen identification. Pathogen identification involves identification of disease-causing biomolecules. Drug discovery involves finding chemical compounds,…

信息论 · 计算机科学 2015-08-18 Abhinav Ganesan , Sidharth Jaggi , Venkatesh Saligrama

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

高能物理 - 唯象学 · 物理学 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi

Models trained in the context of continual learning (CL) should be able to learn from a stream of data over an undefined period of time. The main challenges herein are: 1) maintaining old knowledge while simultaneously benefiting from it…

神经与进化计算 · 计算机科学 2019-12-03 Oleksiy Ostapenko , Mihai Puscas , Tassilo Klein , Patrick Jähnichen , Moin Nabi

Independent Component Analysis (ICA) aims to recover independent latent variables from observed mixtures thereof. Causal Representation Learning (CRL) aims instead to infer causally related (thus often statistically dependent) latent…

The graphical structure of Probabilistic Graphical Models (PGMs) encodes the conditional independence (CI) relations that hold in the modeled distribution. Graph algorithms, such as d-separation, use this structure to infer additional…

人工智能 · 计算机科学 2021-06-01 Batya Kenig

Independent component analysis (ICA), as a data driven method, has shown to be a powerful tool for functional magnetic resonance imaging (fMRI) data analysis. One drawback of this multivariate approach is, that it is not compatible to the…

神经元与认知 · 定量生物学 2019-03-25 Simon Wein , Ana Maria Tomé , Markus Goldhacker , Mark W. Greenlee , Elmar W. Lang

This paper describes an approach that combines generative adversarial networks (GANs) with interactive evolutionary computation (IEC). While GANs can be trained to produce lifelike images, they are normally sampled randomly from the learned…

神经与进化计算 · 计算机科学 2018-01-26 Philip Bontrager , Wending Lin , Julian Togelius , Sebastian Risi

Deep directed generative models have attracted much attention recently due to their generative modeling nature and powerful data representation ability. In this paper, we review different structures of deep directed generative models and…

机器学习 · 计算机科学 2017-10-16 Siqi Nie , Meng Zheng , Qiang Ji

Learning useful representations of complex data has been the subject of extensive research for many years. With the diffusion of Deep Neural Networks, Variational Autoencoders have gained lots of attention since they provide an explicit…

机器学习 · 计算机科学 2020-09-15 Marco Maggipinto , Matteo Terzi , Gian Antonio Susto

Independent component analysis (ICA) is popular in many applications, including cognitive neuroscience and signal processing. Due to computational constraints, principal component analysis is used for dimension reduction prior to ICA…

统计方法学 · 统计学 2017-10-03 Benjamin B. Risk , David S. Matteson , David Ruppert

Deep learning has become a popular tool for medical image analysis, but the limited availability of training data remains a major challenge, particularly in the medical field where data acquisition can be costly and subject to privacy…

图像与视频处理 · 电气工程与系统科学 2024-06-11 Aghiles Kebaili , Jérôme Lapuyade-Lahorgue , Su Ruan

Independent Component Analysis (ICA) plays a central role in modern machine learning as a flexible framework for feature extraction. We introduce a horseshoe-type prior with a latent Polya-Gamma scale mixture representation, yielding…

统计方法学 · 统计学 2025-11-17 Jyotishka Datta , Soham Ghosh , Nicholas G. Polson

Feature extraction from persistence diagrams, as a tool to enrich machine learning techniques, has received increasing attention in recent years. In this paper we explore an adaptive methodology to localize features in persistent diagrams,…

机器学习 · 计算机科学 2019-10-16 Luis Polanco , Jose A. Perea

In AI-generated image detection, current cutting-edge methods typically adapt pre-trained foundation models through partial-parameter fine-tuning. However, these approaches often struggle to generalize to forgeries from unseen generators,…

计算机视觉与模式识别 · 计算机科学 2026-03-05 Yiheng Li , Zichang Tan , Guoqing Xu , Zhen Lei , Xu Zhou , Yang Yang

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

机器学习 · 计算机科学 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

Alterations in the geometry and function of the heart define well-established causes of cardiovascular disease. However, current approaches to the diagnosis of cardiovascular diseases often rely on subjective human assessment as well as…

Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

机器学习 · 统计学 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

We propose a geometric latent-subspace framework for generative modeling of discrete data. Specifically, we introduce latent subspaces in the exponential parameter space of product manifolds of categorical distributions as a novel method…

机器学习 · 统计学 2026-05-08 Daniel Gonzalez-Alvarado , Jonas Cassel , Stefania Petra , Christoph Schnörr