14 citations · 25 across the 27 of their papers we have counts for
9 papers · 1 filter
Schrödinger-Bass Bridge Barycenter Models for Measure-Valued Data
Ngoc-Hai Nguyen, Thuan Nguyen, Prakash Ishwar +1
Barycenter models, based on stochastic and deterministic optimal transport bridges between probability measures, have proven to be useful for supervised and unsupervised learning f…
Sparse Dictionary Learning for Measure-Valued Data via Linearized Optimal Transport: Efficient Algorithms and Sample Complexity
Brendan Mallery, Shuchin Aeron, James Murphy
We study dictionary learning for probability measure-valued data by embedding measures into Hilbert spaces using features derived from optimal transport geometry. We learn data-ada…
Primal-Dual Flow Matching for Sample-Wise Constrained Generation
Zhengyan Huan, Peter Y. Lu, Shuchin Aeron
We consider the problem of learning to generate data while satisfying a prescribed \emph{sample-wise} constraint with a user-specified probability of constraint satisfaction. Start…
Multi-Marginal Inverse Optimal Transport for Contrastive Learning Via Explicit Anchor-Positive-Negative Coupling
Ngoc-Hai Nguyen, Thuan Nguyen, Prakash Ishwar +1
Inverse Optimal Transport (OT) based methods for representation learning learn representations such that the global OT coupling between a pair of data marginals in the representati…
Evidence-Aligned Local Composition of Discrete Experts for Sequence Restoration
Mohammad Panahazari, Usman A. Khan, Shuchin Aeron
A document modeled as a discrete sequence of tokens can be thought of as being generated from a composition of texts from different domains; a README file, for example, moves betwe…
Measuring Cognitive Engagement in Collaborative Discourse with an Extended ICAP Framework: Comparing Human Annotation, In-Context Learning, and Reflective LLM Agents
Lan Anh Do, Hanling Jiang, Shuchin Aeron +1
Collaboration supports learning and problem-solving, but its effectiveness depends on cognitive engagement during discourse. This study applies an extended 7-point ICAP framework b…
Optimal Representations for Generalized Contrastive Learning with Imbalanced Datasets
Thuan Nguyen, Shuchin Aeron, D. Richard Brown +1
In this paper, we provide a computable characterization of the geometry of optimal representations in Contrastive Learning (CL) when the classes are imbalanced. When classes are ba…
Building an AI-native Research Ecosystem for Experimental Particle Physics: A Community Vision
Thea Klaeboe Aarrestad, Alaa Abdelhamid, Haider Abidi +457
Experimental particle physics seeks to understand the universe by probing its fundamental particles and forces and exploring how they govern the large-scale processes that shape co…
Inverse Problems Conditioned on Observation Ensembles: Applications and Methods
Zhengyan Huan, Camila Pazos, Martin Klassen +3
We introduce a new multivariate statistical problem that we refer to as the Ensemble-conditioned Inverse Problem (EIP). The aim of EIP is to invert for an ensemble that is distribu…