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Figuring out small molecule binding sites in target proteins, in the resolution of either pocket or residue, is critical in many virtual and real drug-discovery scenarios. Since it is not always easy to find such binding sites based on…

Quantitative Methods · Quantitative Biology 2023-04-19 Daeseok Lee , Jeunghyun Byun , Bonggun Shin

Massive molecular simulations of drug-target proteins have been used as a tool to understand disease mechanism and develop therapeutics. This work focuses on learning a generative neural network on a structural ensemble of a drug-target…

Machine Learning · Computer Science 2022-05-24 N. Joseph Tatro , Payel Das , Pin-Yu Chen , Vijil Chenthamarakshan , Rongjie Lai

Residual neural networks can be viewed as the forward Euler discretization of an Ordinary Differential Equation (ODE) with a unit time step. This has recently motivated researchers to explore other discretization approaches and train ODE…

Machine Learning · Computer Science 2019-07-02 Amir Gholami , Kurt Keutzer , George Biros

Reasoning over an instance composed of a set of vectors, like a point cloud, requires that one accounts for intra-set dependent features among elements. However, since such instances are unordered, the elements' features should remain…

Machine Learning · Computer Science 2020-08-07 Yang Li , Haidong Yi , Christopher M. Bender , Siyuan Shan , Junier B. Oliva

Identifying novel functional protein structures is at the heart of molecular engineering and molecular biology, requiring an often computationally exhaustive search. We introduce the use of a Deep Convolutional Generative Adversarial…

Biomolecules · Quantitative Biology 2021-04-20 Ethan Moyer , Jeff Winchell , Isamu Isozaki , Yigit Alparslan , Mali Halac , Edward Kim

In this paper we introduce a provably stable architecture for Neural Ordinary Differential Equations (ODEs) which achieves non-trivial adversarial robustness under white-box adversarial attacks even when the network is trained naturally.…

Machine Learning · Computer Science 2021-06-03 Yifei Huang , Yaodong Yu , Hongyang Zhang , Yi Ma , Yuan Yao

Since the advent of the ``Neural Ordinary Differential Equation (Neural ODE)'' paper, learning ODEs with deep learning has been applied to system identification, time-series forecasting, and related areas. Exploiting the diffeomorphic…

Machine Learning · Statistics 2025-08-27 Yuji Okamoto , Tomoya Takeuchi , Yusuke Sakemi

We present a hybrid transformer architecture that replaces discrete middle layers with a continuous-depth Neural Ordinary Differential Equation (ODE) block, enabling inference-time control over generation attributes via a learned steering…

Machine Learning · Computer Science 2026-01-16 Peter Jemley

Protein folding is one of the age-old biological problems that refers to the mechanism of understanding and predicting how a protein's linear sequence of amino acids folds into its specific three dimensional structure.This structure is…

Protein generative models have shown remarkable promise in protein design, yet their success rates remain constrained by reliance on curated sequence-structure datasets and by misalignment between supervised objectives and real design…

Machine Learning · Computer Science 2026-03-03 Ziwen Wang , Jiajun Fan , Ruihan Guo , Thao Nguyen , Heng Ji , Ge Liu

Deep learning has an increasing impact to assist research, allowing, for example, the discovery of novel materials. Until now, however, these artificial intelligence techniques have fallen short of discovering the full differential equation…

This paper investigates the application of the transformer architecture in protein folding, as exemplified by DeepMind's AlphaFold project, and its implications for the understanding of so-called large language models. The prevailing…

Computers and Society · Computer Science 2024-12-10 Fabian Offert , Paul Kim , Qiaoyu Cai

Purpose: To develop a neural ordinary differential equation (ODE) model for visualizing deep neural network (DNN) behavior during multi-parametric MRI (mp-MRI) based glioma segmentation as a method to enhance deep learning explainability.…

Quantitative Methods · Quantitative Biology 2022-03-25 Zhenyu Yang , Zongsheng Hu , Hangjie Ji , Kyle Lafata , Scott Floyd , Fang-Fang Yin , Chunhao Wang

AlphaFold has transformed protein structure prediction, but emerging applications such as virtual ligand screening, proteome-wide folding, and de novo binder design demand predictions at a massive scale, where runtime and memory costs…

The computational prediction of a protein structure from its sequence generally relies on a method to assess the quality of protein models. Most assessment methods rank candidate models using heavily engineered structural features, defined…

Biomolecules · Quantitative Biology 2018-11-26 Georgy Derevyanko , Sergei Grudinin , Yoshua Bengio , Guillaume Lamoureux

In this paper, we implement Neural Ordinary Differential Equations in a Variational Autoencoder setting for generative time series modeling. An object-oriented approach to the code was taken to allow for easier development and research and…

Machine Learning · Computer Science 2022-01-14 M. L. Garsdal , V. Søgaard , S. M. Sørensen

We designed a new artificial neural network by modifying the neural ordinary differential equation (NODE) framework to successfully predict the time evolution of the 2D mode profile in both the linear growth and nonlinear saturated stages.…

Plasma Physics · Physics 2024-11-11 Bowen Zhu , Hao Wang , Jian Wu , Haijun Ren

Neural ordinary differential equations (ODEs) are an emerging class of deep learning models for dynamical systems. They are particularly useful for learning an ODE vector field from observed trajectories (i.e., inverse problems). We here…

Machine Learning · Computer Science 2023-05-23 Katharina Ott , Michael Tiemann , Philipp Hennig

Deep learning models have been widely used during the last decade due to their outstanding learning and abstraction capacities. However, one of the main challenges any scientist has to face using deep learning models is to establish the…

Machine Learning · Computer Science 2025-04-22 Luis Balderas , Miguel Lastra , José M. Benítez

To better understand and improve the behavior of neural networks, a recent line of works bridged the connection between ordinary differential equations (ODEs) and deep neural networks (DNNs). The connections are made in two folds: (1) View…

Machine Learning · Computer Science 2019-11-05 Xinshi Chen