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Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

Machine Learning · Statistics 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

Learning conditional distributions is challenging because the desired outcome is not a single distribution but multiple distributions that correspond to multiple instances of the covariates. We introduce a novel neural entropic optimal…

Machine Learning · Computer Science 2024-06-05 Bao Nguyen , Binh Nguyen , Hieu Trung Nguyen , Viet Anh Nguyen

Survival prediction is a complicated ordinal regression task that aims to predict the ranking risk of death, which generally benefits from the integration of histology and genomic data. Despite the progress in joint learning from pathology…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Yingxue Xu , Hao Chen

Accurate protein function prediction requires integrating heterogeneous intrinsic signals (e.g., sequence and structure) with noisy extrinsic contexts (e.g., protein-protein interactions and GO term annotations). However, two key challenges…

Machine Learning · Computer Science 2025-10-28 Runjie Zheng , Zhen Wang , Anjie Qiao , Jiancong Xie , Jiahua Rao , Yuedong Yang

The conditional average treatment effect (CATE) is widely used in personalized medicine to inform therapeutic decisions. However, state-of-the-art methods for CATE estimation (so-called meta-learners) often perform poorly in the presence of…

Machine Learning · Computer Science 2026-03-12 Valentyn Melnychuk , Dennis Frauen , Jonas Schweisthal , Stefan Feuerriegel

Learning a transport model that maps a source distribution to a target distribution is a canonical problem in machine learning, but scientific applications increasingly require models that can generalize to source and target distributions…

Machine Learning · Computer Science 2026-03-06 Nic Fishman , Gokul Gowri , Paolo L. B. Fischer , Marinka Zitnik , Omar Abudayyeh , Jonathan Gootenberg

Dynamic imaging is critical for understanding and visualizing dynamic biological processes in medicine and cell biology. These applications often encounter the challenge of a limited amount of time series data and time points, which hinders…

Image and Video Processing · Electrical Eng. & Systems 2025-05-20 Sven Dummer , Puru Vaish , Christoph Brune

Image-to-image translation is an ill-posed problem as unique one-to-one mapping may not exist between the source and target images. Learning-based methods proposed in this context often evaluate the performance on test data that is similar…

Image and Video Processing · Electrical Eng. & Systems 2021-10-08 Uddeshya Upadhyay , Viswanath P. Sudarshan , Suyash P. Awate

Optimal Transport (OT) is being widely used in various fields such as machine learning and computer vision, as it is a powerful tool for measuring the similarity between probability distributions and histograms. In previous studies, OT has…

Machine Learning · Statistics 2020-06-17 Yasunori Akagi , Yusuke Tanaka , Tomoharu Iwata , Takeshi Kurashima , Hiroyuki Toda

Cell heterogeneity plays an important role in patient responses to drug treatments. In many cancers, it is associated with poor treatment outcomes. Many modern drug combination therapies aim to exploit cell heterogeneity, but determining…

Quantitative Methods · Quantitative Biology 2025-02-18 Simon F. Martina-Perez , Samuel W. S. Johnson , Rebecca M. Crossley , Jennifer C. Kasemeier , Paul M. Kulesa , Ruth E. Baker

We study the problem of learning conditional average treatment effects (CATE) from observational data with unobserved confounders. The CATE function maps baseline covariates to individual causal effect predictions and is key for…

Machine Learning · Statistics 2018-10-09 Nathan Kallus , Xiaojie Mao , Angela Zhou

Comparing unpaired samples of a distribution or population taken at different points in time is a fundamental task in many application domains where measuring populations is destructive and cannot be done repeatedly on the same sample, such…

We propose a unified framework for adaptive routing in multitask, multimodal prediction settings where data heterogeneity and task interactions vary across samples. Motivated by applications in psychotherapy where structured assessments and…

Monotone gradient functions play a central role in solving the Monge formulation of the optimal transport (OT) problem, which arises in modern applications ranging from fluid dynamics to robot swarm control. When the transport cost is the…

Machine Learning · Computer Science 2025-09-25 Shreyas Chaudhari , Srinivasa Pranav , José M. F. Moura

Optimal transport (OT) theory underlies many emerging machine learning (ML) methods nowadays solving a wide range of tasks such as generative modeling, transfer learning and information retrieval. These latter works, however, usually build…

Machine Learning · Statistics 2021-12-03 Quang Huy Tran , Hicham Janati , Ievgen Redko , Rémi Flamary , Nicolas Courty

We investigate how to exploit structural similarities of an individual's potential outcomes (POs) under different treatments to obtain better estimates of conditional average treatment effects in finite samples. Especially when it is…

Machine Learning · Statistics 2021-10-26 Alicia Curth , Mihaela van der Schaar

Model-based recursive partitioning (MOB) can be used to identify subgroups with differing treatment effects. The detection rate of treatment-by-covariate interactions and the accuracy of identified subgroups using MOB depend strongly on the…

Applications · Statistics 2022-09-07 Cynthia Huber , Norbert Benda , Tim Friede

Language models trained on observed sequences are often described as learning the conditional distribution of the next token given previous tokens. This description is only conditionally correct. A model trained on realized token…

Computation and Language · Computer Science 2026-05-25 Francesco Corielli

We present a novel framework for conditional sampling of probability measures, using block triangular transport maps. We develop the theoretical foundations of block triangular transport in a Banach space setting, establishing general…

Machine Learning · Statistics 2023-06-07 Ricardo Baptista , Bamdad Hosseini , Nikola B. Kovachki , Youssef Marzouk

Virtual cell models aim to enable in silico experimentation by predicting how cells respond to genetic, chemical, or cytokine perturbations from single-cell measurements. In practice, however, large-scale perturbation prediction remains…

Machine Learning · Computer Science 2026-03-20 Shuizhou Chen , Lang Yu , Kedu Jin , Songming Zhang , Hao Wu , Wenxuan Huang , Sheng Xu , Quan Qian , Qin Chen , Lei Bai , Siqi Sun , Zhangyang Gao