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Researchers in the behavioral and social sciences use linear discriminant analysis (LDA) for predictions of group membership (classification) and for identifying the variables most relevant to group separation among a set of continuous…

Methodology · Statistics 2025-05-28 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Existing algorithms for subgroup discovery with numerical targets do not optimize the error or target variable dispersion of the groups they find. This often leads to unreliable or inconsistent statements about the data, rendering practical…

Artificial Intelligence · Computer Science 2017-07-06 Mario Boley , Bryan R. Goldsmith , Luca M. Ghiringhelli , Jilles Vreeken

In many learning applications, data are collected from multiple sources, each providing a \emph{batch} of samples that by itself is insufficient to learn its input-output relationship. A common approach assumes that the sources fall in one…

Machine Learning · Computer Science 2023-09-06 Ayush Jain , Rajat Sen , Weihao Kong , Abhimanyu Das , Alon Orlitsky

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

As edge devices become increasingly powerful, data analytics are gradually moving from a centralized to a decentralized regime where edge compute resources are exploited to process more of the data locally. This regime of analytics is…

Applications · Statistics 2023-07-04 Xubo Yue , Raed Al Kontar , Ana María Estrada Gómez

When multitudes of features can plausibly be associated with a response, both privacy considerations and model parsimony suggest grouping them to increase the predictive power of a regression model. Specifically, the identification of…

Methodology · Statistics 2024-05-07 Brandon Woosuk Park , Anand N. Vidyashankar , Tucker S. McElroy

Deriving insights from high-dimensional data is one of the core problems in data mining. The difficulty mainly stems from the fact that there are exponentially many variable combinations to potentially consider, and there are infinitely…

Machine Learning · Statistics 2021-11-08 Jefrey Lijffijt , Bo Kang , Wouter Duivesteijn , Kai Puolamäki , Emilia Oikarinen , Tijl De Bie

In many complex applications, data heterogeneity and homogeneity exist simultaneously. Ignoring either one will result in incorrect statistical inference. In addition, coping with complex data that are non-Euclidean becomes more common. To…

Methodology · Statistics 2021-05-28 Zixuan Han , Tao Li , Jinhong You

Regression discontinuity design (RDD) is widely adopted for causal inference under intervention determined by a continuous variable. While one is interested in treatment effect heterogeneity by subgroups in many applications, RDD typically…

Methodology · Statistics 2024-11-11 Shonosuke Sugasawa , Takuya Ishihara , Daisuke Kurisu

High-dimensional group inference is an essential part of statistical methods for analysing complex data sets, including hierarchical testing, tests of interaction, detection of heterogeneous treatment effects and inference for local…

Methodology · Statistics 2020-12-01 Zijian Guo , Claude Renaux , Peter Bühlmann , T. Tony Cai

Deep Learning (DL) applications are being used to solve problems in critical domains (e.g., autonomous driving or medical diagnosis systems). Thus, developers need to debug their systems to ensure that the expected behavior is delivered.…

Software Engineering · Computer Science 2023-07-19 Mohammad Wardat , Breno Dantas Cruz , Wei Le , Hridesh Rajan

Irregular Medical Time Series play a critical role in the clinical domain to better understand the patient's condition. However, inherent irregularity arising from heterogeneous sampling rates, asynchronous observations, and variable gaps…

Machine Learning · Computer Science 2026-04-15 Jian Chen , Yuzhu Hu , Xiaoyan Yuan , Yuxuan Hu , Jinfeng Xu , Yipeng Du , Wenhao Yuan , Wei Wang , Edith C. H. Ngai

For the last two decades, high-dimensional data and methods have proliferated throughout the literature. Yet, the classical technique of linear regression has not lost its usefulness in applications. In fact, many high-dimensional…

Statistics Theory · Mathematics 2021-05-18 Arun Kumar Kuchibhotla , Lawrence D. Brown , Andreas Buja , Edward I. George , Linda Zhao

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

Machine Learning · Statistics 2022-05-04 Thomas Lartigue , Sach Mukherjee

In generalized regression models the effect of continuous covariates is commonly assumed to be linear. This assumption, however, may be too restrictive in applications and may lead to biased effect estimates and decreased predictive…

Methodology · Statistics 2023-11-01 Nikolai Spuck , Matthias Schmid , Moritz Berger

Dynamic Mode Decomposition (DMD) and its variants, such as extended DMD (EDMD), are broadly used to fit simple linear models to dynamical systems known from observable data. As DMD methods work well in several situations but perform poorly…

Dynamical Systems · Mathematics 2024-08-06 George Haller , Bálint Kaszás

Extracting coherent patterns is one of the standard approaches towards understanding spatio-temporal data. Dynamic mode decomposition (DMD) is a powerful tool for extracting coherent patterns, but the original DMD and most of its variants…

Machine Learning · Computer Science 2021-02-22 Naoya Takeishi , Keisuke Fujii , Koh Takeuchi , Yoshinobu Kawahara

When developing clinical prediction models, it can be challenging to balance between global models that are valid for all patients and personalized models tailored to individuals or potentially unknown subgroups. To aid such decisions, we…

We propose DiscoverDCP, a data-driven framework that integrates symbolic regression with the rule sets of Disciplined Convex Programming (DCP) to perform system identification. By enforcing that all discovered candidate model expressions…

Machine Learning · Computer Science 2025-12-19 Sveinung Myhre

The identification of patient subgroups with differential treatment effects is the first step towards individualised treatments. A current draft guideline by the EMA discusses potentials and problems in subgroup analyses and formulated…

Methodology · Statistics 2020-01-22 Heidi Seibold , Achim Zeileis , Torsten Hothorn