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We propose a new family of combinatorial inference problems for graphical models. Unlike classical statistical inference where the main interest is point estimation or parameter testing, combinatorial inference aims at testing the global…

Statistics Theory · Mathematics 2018-02-14 Matey Neykov , Junwei Lu , Han Liu

This work was motivated by a twin study with the goal of assessing the genetic control of immune traits. We propose a mixture bivariate distribution to model twin data where the underlying order within a pair is unclear. Though estimation…

Methodology · Statistics 2025-07-21 Zonghui Hu , Pengfei Li , Dean Follmann , Jing Qin

Predictive biomarkers are playing an essential role in precision medicine. Identifying an optimal cutoff to select patient subsets with greater benefit from treatment is critical and more challenging for predictive biomarkers measured with…

Applications · Statistics 2025-04-29 Chi Zhang , Wei Shi , Spencer Woody , Qing Liu

Statistical inference of directed relations given some unspecified interventions (i.e., the intervention targets are unknown) is challenging. In this article, we test hypothesized directed relations with unspecified interventions. First, we…

Methodology · Statistics 2023-03-02 Chunlin Li , Xiaotong Shen , Wei Pan

The prediction modeling of drug-target interactions is crucial to drug discovery and design, which has seen rapid advancements owing to deep learning technologies. Recently developed methods, such as those based on graph neural networks…

Quantitative Methods · Quantitative Biology 2025-11-19 Xinnan Zhang , Jialin Wu , Junyi Xie , Tianlong Chen , Kaixiong Zhou

Survival analysis is a challenging variation of regression modeling because of the presence of censoring, where the outcome measurement is only partially known, due to, for example, loss to follow up. Such problems come up frequently in…

Machine Learning · Computer Science 2022-06-28 Chirag Nagpal , Steve Yadlowsky , Negar Rostamzadeh , Katherine Heller

Causal inference in hybrid domains, characterized by a mixture of discrete and continuous variables, presents a formidable challenge. We take a step towards this direction and propose Characteristic Interventional Sum-Product Network…

Machine Learning · Computer Science 2024-08-15 Harsh Poonia , Moritz Willig , Zhongjie Yu , Matej Zečević , Kristian Kersting , Devendra Singh Dhami

Applied researchers in biomedicine and related fields are often interested in estimating the causal effect of a treatment or intervention. Although randomized clinical trials are considered the gold standard for establishing causal effects,…

Understanding cellular responses to stimuli is crucial for biological discovery and drug development. Transcriptomics provides interpretable, gene-level insights, while microscopy imaging offers rich predictive features but is harder to…

In vitro cellular experimentation with genetic interventions, using for example CRISPR technologies, is an essential step in early-stage drug discovery and target validation that serves to assess initial hypotheses about causal associations…

Machine Learning · Computer Science 2021-10-25 Arash Mehrjou , Ashkan Soleymani , Andrew Jesson , Pascal Notin , Yarin Gal , Stefan Bauer , Patrick Schwab

The development of high-throughput sequencing and targeted therapies has led to the emergence of personalized medicine: a patient's molecular profile or the presence of a specific biomarker of drug response will correspond to a treatment…

Applications · Statistics 2020-05-27 Jonas Béal , Aurélien Latouche

Approaches for testing sets of variants, such as a set of rare or common variants within a gene or pathway, for association with complex traits are important. In particular, set tests allow for aggregation of weak signal within a set, can…

Genomics · Quantitative Biology 2013-05-28 Jennifer Listgarten , Christoph Lippert , Eun Yong Kang , Jing Xiang , Carl M. Kadie , David Heckerman

To draw scientifically meaningful conclusions and build reliable models of quantitative phenomena, cause and effect must be taken into consideration (either implicitly or explicitly). This is particularly challenging when the measurements…

Machine Learning · Computer Science 2020-12-11 Max A. Little , Reham Badawy

Accurate prediction of outcomes is crucial for clinical decision-making and personalized patient care. Supervised machine learning algorithms, which are commonly used for outcome prediction in the medical domain, optimize for predictive…

Machine Learning · Computer Science 2026-02-09 Nithya Bhasker , Fiona R. Kolbinger , Susu Hu , Gitta Kutyniok , Stefanie Speidel

Causal discovery uncovers complex relationships between variables, enhancing predictions, decision-making, and insights into real-world systems, especially in nonlinear multivariate time series. However, most existing methods primarily…

Machine Learning · Computer Science 2025-10-30 Wasim Ahmad , Joachim Denzler , Maha Shadaydeh

A combinatorial intervention, consisting of multiple treatments applied to a single unit with potentially interactive effects, has substantial applications in fields such as biomedicine, engineering, and beyond. Given $p$ possible…

Machine Learning · Computer Science 2025-06-05 Divya Shyamal , Jiaqi Zhang , Caroline Uhler

Drug synergy, characterized by the amplified combined effect of multiple drugs, is critically important for optimizing therapeutic outcomes. Limited data on drug synergy, arising from the vast number of possible drug combinations and…

Machine Learning · Computer Science 2023-11-08 Oleksii Tsepa , Bohdan Naida , Anna Goldenberg , Bo Wang

Bipartite experiments are a recent object of study in causal inference, whereby treatment is applied to one set of units and outcomes of interest are measured on a different set of units. These experiments are particularly useful in…

Randomized Controlled Trials are one of the pillars of science; nevertheless, they rely on hand-crafted hypotheses and expensive analysis. Such constraints prevent causal effect estimation at scale, potentially anchoring on popular yet…

Machine Learning · Computer Science 2026-01-07 Tommaso Mencattini , Riccardo Cadei , Francesco Locatello

Genetic variants identified to date by genome-wide association studies only explain a small fraction of total heritability. Gene-by-gene interaction is one important potential source of unexplained heritability. In the first part of this…

Methodology · Statistics 2016-05-10 Chen Lu
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