9 citations · 25 across the 10 of their papers we have counts for
12 papers
Uncertainty of Network Topology with Applications to Out-of-Distribution Detection
Sing-Yuan Yeh, Chun-Hao Yang
Persistent homology (PH) is a crucial concept in computational topology, providing a multiscale topological description of a space. It is particularly significant in topological da…
Training LLMs Beyond Next Token Prediction - Filling the Mutual Information Gap
Chun-Hao Yang, Bo-Han Feng, Tzu-Yuan Lai +4
Autoregressive language models are usually trained with next-token prediction under a fixed left-to-right target order. This paper studies target-token organization as a training-t…
Horospherical Decision Boundaries for Large Margin Classification in Hyperbolic Space
Xiran Fan, Chun-Hao Yang, Baba C. Vemuri
Hyperbolic spaces have been quite popular in the recent past for representing hierarchically organized data. Further, several classification algorithms for data in these spaces hav…
Efficient Submodular Optimization under Noise: Local Search is Robust
Lingxiao Huang, Yuyi Wang, Chunxue Yang +1
The problem of monotone submodular maximization has been studied extensively due to its wide range of applications. However, there are cases where one can only access the objective…
Nested Hyperbolic Spaces for Dimensionality Reduction and Hyperbolic NN Design
Xiran Fan, Chun-Hao Yang, Baba C. Vemuri
Hyperbolic neural networks have been popular in the recent past due to their ability to represent hierarchical data sets effectively and efficiently. The challenge in developing th…
Nested Grassmannians for Dimensionality Reduction with Applications
Chun-Hao Yang, Baba C. Vemuri
In the recent past, nested structures in Riemannian manifolds has been studied in the context of dimensionality reduction as an alternative to the popular principal geodesic analys…
Shrinkage Estimation of the Frechet Mean in Lie groups
Chun-Hao Yang, Baba C. Vemuri
Data in non-Euclidean spaces are commonly encountered in many fields of Science and Engineering. For instance, in Robotics, attitude sensors capture orientation which is an element…
An Empirical Bayes Approach to Shrinkage Estimation on the Manifold of Symmetric Positive-Definite Matrices
Chun-Hao Yang, Hani Doss, Baba C. Vemuri
The James-Stein estimator is an estimator of the multivariate normal mean and dominates the maximum likelihood estimator (MLE) under squared error loss. The original work inspired…
MVC-Net: A Convolutional Neural Network Architecture for Manifold-Valued Images With Applications
Jose J. Bouza, Chun-Hao Yang, David Vaillancourt +1
Geometric deep learning has attracted significant attention in recent years, in part due to the availability of exotic data types for which traditional neural network architectures…
A mixture model for aggregation of multiple pre-trained weak classifiers
Rudrasis Chakraborty, Chun-Hao Yang, Baba C. Vemuri
Deep networks have gained immense popularity in Computer Vision and other fields in the past few years due to their remarkable performance on recognition/classification tasks surpa…
A Statistical Recurrent Model on the Manifold of Symmetric Positive Definite Matrices
Rudrasis Chakraborty, Chun-Hao Yang, Xingjian Zhen +5
In a number of disciplines, the data (e.g., graphs, manifolds) to be analyzed are non-Euclidean in nature. Geometric deep learning corresponds to techniques that generalize deep ne…
Multiple-Instance Logistic Regression with LASSO Penalty
Ray-Bing Chen, Kuang-Hung Cheng, Sheng-Mao Chang +4
In this work, we consider a manufactory process which can be described by a multiple-instance logistic regression model. In order to compute the maximum likelihood estimation of th…