Search Results for author: Mengjia Xu

Found 9 papers, 2 papers with code

TransformerG2G: Adaptive time-stepping for learning temporal graph embeddings using transformers

1 code implementation5 Jul 2023 Alan John Varghese, Aniruddha Bora, Mengjia Xu, George Em Karniadakis

Hence, incorporating long-range dependencies from the historical graph context plays a crucial role in accurately learning their temporal dynamics.

Anomaly Detection Computational Efficiency +6

Norm-based Generalization Bounds for Compositionally Sparse Neural Networks

no code implementations28 Jan 2023 Tomer Galanti, Mengjia Xu, Liane Galanti, Tomaso Poggio

In this paper, we investigate the Rademacher complexity of deep sparse neural networks, where each neuron receives a small number of inputs.

Generalization Bounds

Scalable algorithms for physics-informed neural and graph networks

no code implementations16 May 2022 Khemraj Shukla, Mengjia Xu, Nathaniel Trask, George Em Karniadakis

For more complex systems or systems of systems and unstructured data, graph neural networks (GNNs) present some distinct advantages, and here we review how physics-informed learning can be accomplished with GNNs based on graph exterior calculus to construct differential operators; we refer to these architectures as physics-informed graph networks (PIGNs).

BIG-bench Machine Learning Physics-informed machine learning

DynG2G: An Efficient Stochastic Graph Embedding Method for Temporal Graphs

1 code implementation28 Sep 2021 Mengjia Xu, Apoorva Vikram Singh, George Em Karniadakis

However, recent advances mostly focus on learning node embeddings as deterministic "vectors" for static graphs yet disregarding the key graph temporal dynamics and the evolving uncertainties associated with node embedding in the latent space.

Dynamic graph embedding Uncertainty Quantification

Understanding graph embedding methods and their applications

no code implementations15 Dec 2020 Mengjia Xu

Graph analytics can lead to better quantitative understanding and control of complex networks, but traditional methods suffer from high computational cost and excessive memory requirements associated with the high-dimensionality and heterogeneous characteristics of industrial size networks.

Community Detection Dynamic graph embedding +2

A Graph Gaussian Embedding Method for Predicting Alzheimer's Disease Progression with MEG Brain Networks

no code implementations8 May 2020 Mengjia Xu, David Lopez Sanz, Pilar Garces, Fernando Maestu, Quanzheng Li, Dimitrios Pantazis

Characterizing the subtle changes of functional brain networks associated with the pathological cascade of Alzheimer's disease (AD) is important for early diagnosis and prediction of disease progression prior to clinical symptoms.

Multi-label Detection and Classification of Red Blood Cells in Microscopic Images

no code implementations7 Oct 2019 Wei Qiu, Jiaming Guo, Xiang Li, Mengjia Xu, Mo Zhang, Ning Guo, Quanzheng Li

As the six networks are trained with image patches consisting of both individual cells and touching/overlapping cells, they can effectively recognize cell types that are presented in multi-instance image samples.

Cell Detection Classification +2

Image Segmentation and Classification for Sickle Cell Disease using Deformable U-Net

no code implementations23 Oct 2017 Mo Zhang, Xiang Li, Mengjia Xu, Quanzheng Li

Reliable cell segmentation and classification from biomedical images is a crucial step for both scientific research and clinical practice.

Cell Segmentation Classification +4

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