AnomalousNet: A Hybrid Approach with Attention U-Nets and Change Point Detection for Accurate Characterization of Anomalous Diffusion in Video Data
- URL: http://arxiv.org/abs/2504.05271v1
- Date: Mon, 07 Apr 2025 17:08:17 GMT
- Title: AnomalousNet: A Hybrid Approach with Attention U-Nets and Change Point Detection for Accurate Characterization of Anomalous Diffusion in Video Data
- Authors: Yusef Ahsini, Marc Escoto, J. Alberto Conejero,
- Abstract summary: We introduce a data-driven method that integrates particle tracking, an attention U-Net architecture, and a change-point detection algorithm to address these issues.<n>Our methodology demonstrated strong performance in the 2nd Anomalous Diffusion (AnDi) Challenge benchmark within the top submissions for video tasks.
- Score: 0.9012198585960443
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Anomalous diffusion occurs in a wide range of systems, including protein transport within cells, animal movement in complex habitats, pollutant dispersion in groundwater, and nanoparticle motion in synthetic materials. Accurately estimating the anomalous diffusion exponent and the diffusion coefficient from the particle trajectories is essential to distinguish between sub-diffusive, super-diffusive, or normal diffusion regimes. These estimates provide a deeper insight into the underlying dynamics of the system, facilitating the identification of particle behaviors and the detection of changes in diffusion states. However, analyzing short and noisy video data, which often yield incomplete and heterogeneous trajectories, poses a significant challenge for traditional statistical approaches. We introduce a data-driven method that integrates particle tracking, an attention U-Net architecture, and a change-point detection algorithm to address these issues. This approach not only infers the anomalous diffusion parameters with high accuracy but also identifies temporal transitions between different states, even in the presence of noise and limited temporal resolution. Our methodology demonstrated strong performance in the 2nd Anomalous Diffusion (AnDi) Challenge benchmark within the top submissions for video tasks.
Related papers
- Neural Message Passing Induced by Energy-Constrained Diffusion [79.9193447649011]
We propose an energy-constrained diffusion model as a principled interpretable framework for understanding the mechanism of MPNNs.
We show that the new model can yield promising performance for cases where the data structures are observed (as a graph), partially observed or completely unobserved.
arXiv Detail & Related papers (2024-09-13T17:54:41Z) - Theoretical Insights for Diffusion Guidance: A Case Study for Gaussian
Mixture Models [59.331993845831946]
Diffusion models benefit from instillation of task-specific information into the score function to steer the sample generation towards desired properties.
This paper provides the first theoretical study towards understanding the influence of guidance on diffusion models in the context of Gaussian mixture models.
arXiv Detail & Related papers (2024-03-03T23:15:48Z) - Diffusion-Based Particle-DETR for BEV Perception [94.88305708174796]
Bird-Eye-View (BEV) is one of the most widely-used scene representations for visual perception in Autonomous Vehicles (AVs)
Recent diffusion-based methods offer a promising approach to uncertainty modeling for visual perception but fail to effectively detect small objects in the large coverage of the BEV.
Here, we address this problem by combining the diffusion paradigm with current state-of-the-art 3D object detectors in BEV.
arXiv Detail & Related papers (2023-12-18T09:52:14Z) - What can we learn from diffusion about Anderson localization of a
degenerate Fermi gas? [0.0]
We experimentally study a degenerate, spin-polarized Fermi gas in a disorder potential formed by an optical speckle pattern.
We find that some show signatures for a transition to localization above a critical disorder strength, while others show a smooth crossover to a modified diffusion regime.
Our work emphasizes that the transition toward localization can be investigated by closely analyzing the system's diffusion.
arXiv Detail & Related papers (2023-11-13T17:46:08Z) - Gramian Angular Fields for leveraging pretrained computer vision models
with anomalous diffusion trajectories [0.9012198585960443]
We present a new data-driven method for working with diffusive trajectories.
This method utilizes Gramian Angular Fields (GAF) to encode one-dimensional trajectories as images.
We leverage two well-established pre-trained computer-vision models, ResNet and MobileNet, to characterize the underlying diffusive regime.
arXiv Detail & Related papers (2023-09-02T17:22:45Z) - Lipschitz Singularities in Diffusion Models [64.28196620345808]
Diffusion models often display the infinite Lipschitz property of the network with respect to time variable near the zero point.<n>We propose a novel approach, dubbed E-TSDM, which alleviates the Lipschitz singularities of the diffusion model near the zero point.<n>Our work may advance the understanding of the general diffusion process, and also provide insights for the design of diffusion models.
arXiv Detail & Related papers (2023-06-20T03:05:28Z) - Diffusion Models in Vision: A Survey [73.10116197883303]
A diffusion model is a deep generative model that is based on two stages, a forward diffusion stage and a reverse diffusion stage.<n> Diffusion models are widely appreciated for the quality and diversity of the generated samples, despite their known computational burdens.
arXiv Detail & Related papers (2022-09-10T22:00:30Z) - Diffusion-GAN: Training GANs with Diffusion [135.24433011977874]
Generative adversarial networks (GANs) are challenging to train stably.
We propose Diffusion-GAN, a novel GAN framework that leverages a forward diffusion chain to generate instance noise.
We show that Diffusion-GAN can produce more realistic images with higher stability and data efficiency than state-of-the-art GANs.
arXiv Detail & Related papers (2022-06-05T20:45:01Z) - Efficient recurrent neural network methods for anomalously diffusing
single particle short and noisy trajectories [0.08594140167290096]
We present a data-driven method able to infer the anomalous exponent and to identify the type of anomalous diffusion process behind single, noisy and short trajectories.
A combination of convolutional and recurrent neural networks were used to achieve state-of-the-art results.
arXiv Detail & Related papers (2021-08-05T20:04:37Z) - WaveNet-Based Deep Neural Networks for the Characterization of Anomalous
Diffusion (WADNet) [0.0]
Anomalous diffusion is involved in the evolution of physical, chemical, biological, and economic systems.
This challenge aims at objectively assessing and comparing new approaches for single trajectory characterization.
We develop a WaveNet-based deep neural network (WADNet) by combining a modified WaveNet encoder with long short-term memory networks.
arXiv Detail & Related papers (2021-06-14T19:41:15Z) - Extreme Learning Machine for the Characterization of Anomalous Diffusion
from Single Trajectories [0.0]
I describe a simple approach to tackle the tasks of the AnDi challenge by combining extreme learning machine and feature engineering (AnDi-ELM)
The method reaches satisfactory performance while offering a straightforward implementation and fast training time with limited computing resources.
arXiv Detail & Related papers (2021-05-06T11:56:27Z) - SUOD: Accelerating Large-Scale Unsupervised Heterogeneous Outlier
Detection [63.253850875265115]
Outlier detection (OD) is a key machine learning (ML) task for identifying abnormal objects from general samples.
We propose a modular acceleration system, called SUOD, to address it.
arXiv Detail & Related papers (2020-03-11T00:22:50Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.