no code implementations • 19 Jun 2024 • Tan M. Nguyen, Tam Nguyen, Nhat Ho, Andrea L. Bertozzi, Richard G. Baraniuk, Stanley J. Osher
Self-attention is key to the remarkable success of transformers in sequence modeling tasks including many applications in natural language processing and computer vision.
1 code implementation • 22 Nov 2023 • Bohan Chen, Andrea L. Bertozzi
Traditional methods of linking large language models (LLMs) to knowledge bases via the semantic similarity search often fall short of capturing complex relational dynamics.
1 code implementation • 19 Jul 2023 • James Chapman, Bohan Chen, Zheng Tan, Jeff Calder, Kevin Miller, Andrea L. Bertozzi
Active learning improves the performance of machine learning methods by judiciously selecting a limited number of unlabeled data points to query for labels, with the aim of maximally improving the underlying classifier's performance.
no code implementations • 17 Jun 2023 • Bohan Chen, Kevin Miller, Andrea L. Bertozzi, Jon Schwenk
We develop a graph active learning pipeline (GAP) to detect surface water and in-river sediment pixels in satellite images.
no code implementations • 19 Apr 2022 • Justin Baker, Hedi Xia, Yiwei Wang, Elena Cherkaev, Akil Narayan, Long Chen, Jack Xin, Andrea L. Bertozzi, Stanley J. Osher, Bao Wang
Learning neural ODEs often requires solving very stiff ODE systems, primarily using explicit adaptive step size ODE solvers.
1 code implementation • 31 Mar 2022 • Kevin Miller, John Mauro, Jason Setiadi, Xoaquin Baca, Zhan Shi, Jeff Calder, Andrea L. Bertozzi
We use a Convolutional Neural Network Variational Autoencoder (CNNVAE) to embed SAR data into a feature space, and then construct a similarity graph from the embedded data and apply graph-based semi-supervised learning techniques.
no code implementations • 12 Dec 2021 • Yifan Hua, Kevin Miller, Andrea L. Bertozzi, Chen Qian, Bao Wang
As such, our proposed overlay networks accelerate convergence, improve generalization, and enhance robustness to clients failures in DFL with theoretical guarantees.
2 code implementations • 14 Oct 2021 • Kevin Miller, Andrea L. Bertozzi
Active learning in semi-supervised classification involves introducing additional labels for unlabelled data to improve the accuracy of the underlying classifier.
1 code implementation • NeurIPS 2021 • Hedi Xia, Vai Suliafu, Hangjie Ji, Tan M. Nguyen, Andrea L. Bertozzi, Stanley J. Osher, Bao Wang
We propose heavy ball neural ordinary differential equations (HBNODEs), leveraging the continuous limit of the classical momentum accelerated gradient descent, to improve neural ODEs (NODEs) training and inference.
no code implementations • 10 Oct 2021 • Dominic Flocco, Bryce Palmer-Toy, Ruixiao Wang, Hongyu Zhu, Rishi Sonthalia, Junyuan Lin, Andrea L. Bertozzi, P. Jeffrey Brantingham
The construction and application of knowledge graphs have seen a rapid increase across many disciplines in recent years.
no code implementations • 22 May 2021 • Hangjie Ji, Kyle Lafata, Yvonne Mowery, David Brizel, Andrea L. Bertozzi, Fang-Fang Yin, Chunhao Wang
With break-down biological modeling components, the outcome image predictions could be used in adaptive radiotherapy decision-making to optimize personalized plans for the best outcome in the future.
no code implementations • 25 Jul 2020 • Andrea L. Bertozzi, Bamdad Hosseini, Hao Li, Kevin Miller, Andrew M. Stuart
Graph-based semi-supervised regression (SSR) is the problem of estimating the value of a function on a weighted graph from its values (labels) on a small subset of the vertices.
no code implementations • 21 Jul 2020 • Kevin Miller, Hao Li, Andrea L. Bertozzi
We present a novel adaptation of active learning to graph-based semi-supervised learning (SSL) under non-Gaussian Bayesian models.
2 code implementations • NeurIPS 2020 • Tan M. Nguyen, Richard G. Baraniuk, Andrea L. Bertozzi, Stanley J. Osher, Bao Wang
Designing deep neural networks is an art that often involves an expensive search over candidate architectures.
no code implementations • ICLR 2020 • Baichuan Yuan, Xiaowei Wang, Jianxin Ma, Chang Zhou, Andrea L. Bertozzi, Hongxia Yang
To bridge this gap, we introduce a declustering based hidden variable model that leads to an efficient inference procedure via a variational autoencoder (VAE).
no code implementations • 2 Mar 2020 • Thu Dinh, Bao Wang, Andrea L. Bertozzi, Stanley J. Osher
In this paper, we focus on a co-design of efficient DNN compression algorithms and sparse neural architectures for robust and accurate deep learning.
1 code implementation • 24 Feb 2020 • Bao Wang, Tan M. Nguyen, Andrea L. Bertozzi, Richard G. Baraniuk, Stanley J. Osher
Nesterov accelerated gradient (NAG) improves the convergence rate of gradient descent (GD) for convex optimization using a specially designed momentum; however, it accumulates error when an inexact gradient is used (such as in SGD), slowing convergence at best and diverging at worst.
no code implementations • 19 Apr 2019 • Honglin Chen, Hao Li, Alexander Song, Matt Haberland, Osman Akar, Adam Dhillon, Tiankuang Zhou, Andrea L. Bertozzi, P. Jeffrey Brantingham
Body-worn cameras are now commonly used for logging daily life, sports, and law enforcement activities, creating a large volume of archived footage.
2 code implementations • 13 Feb 2019 • Zhijian Li, Xiyang Luo, Bao Wang, Andrea L. Bertozzi, Jack Xin
We study epidemic forecasting on real-world health data by a graph-structured recurrent neural network (GSRNN).
no code implementations • 15 Nov 2018 • Baichuan Yuan, Hao Li, Andrea L. Bertozzi, P. Jeffrey Brantingham, Mason A. Porter
There is often latent network structure in spatial and temporal data and the tools of network analysis can yield fascinating insights into such data.
1 code implementation • 23 Sep 2018 • Bao Wang, Alex T. Lin, Wei Zhu, Penghang Yin, Andrea L. Bertozzi, Stanley J. Osher
We improve the robustness of Deep Neural Net (DNN) to adversarial attacks by using an interpolating function as the output activation.
1 code implementation • 7 Jun 2018 • Zachary M. Boyd, Mason A. Porter, Andrea L. Bertozzi
Networks, which represent agents and interactions between them, arise in myriad applications throughout the sciences, engineering, and even the humanities.
no code implementations • 2 Apr 2018 • Bao Wang, Xiyang Luo, Fangbo Zhang, Baichuan Yuan, Andrea L. Bertozzi, P. Jeffrey Brantingham
We present a generic framework for spatio-temporal (ST) data modeling, analysis, and forecasting, with a special focus on data that is sparse in both space and time.
no code implementations • 23 Nov 2017 • Bao Wang, Penghang Yin, Andrea L. Bertozzi, P. Jeffrey Brantingham, Stanley J. Osher, Jack Xin
In this work, we first present a proper representation of crime data.
no code implementations • 28 Jul 2017 • Zachary Boyd, Egil Bae, Xue-Cheng Tai, Andrea L. Bertozzi
We show that modularity optimization is equivalent to minimizing a convex TV-based functional over a discrete domain, again, assuming the number of communities is known.
no code implementations • 9 Jul 2017 • Bao Wang, Duo Zhang, Duanhao Zhang, P. Jeffery Brantingham, Andrea L. Bertozzi
Experiments over a half year period in Los Angeles reveal highly accurate predictive power of our models.
no code implementations • 26 Mar 2017 • Andrea L. Bertozzi, Xiyang Luo, Andrew M. Stuart, Konstantinos C. Zygalakis
In this paper we introduce, develop algorithms for, and investigate the properties of, a variety of Bayesian models for the task of binary classification; via the posterior distribution on the classification labels, these methods automatically give measures of uncertainty.
no code implementations • 5 Jan 2017 • Da Kuang, P. Jeffrey Brantingham, Andrea L. Bertozzi
Formal crime types are not discrete in topic space.
no code implementations • 27 Apr 2016 • Wei Zhu, Victoria Chayes, Alexandre Tiard, Stephanie Sanchez, Devin Dahlberg, Andrea L. Bertozzi, Stanley Osher, Dominique Zosso, Da Kuang
In this paper, a graph-based nonlocal total variation method (NLTV) is proposed for unsupervised classification of hyperspectral images (HSI).
no code implementations • 15 Feb 2013 • Cristina Garcia-Cardona, Ekaterina Merkurjev, Andrea L. Bertozzi, Arjuna Flenner, Allon Percus
We present two graph-based algorithms for multiclass segmentation of high-dimensional data.