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Decision trees are among the most popular machine learning models and are used routinely in applications ranging from revenue management and medicine to bioinformatics. In this paper, we consider the problem of learning optimal binary…

Machine Learning · Computer Science 2023-07-20 Sina Aghaei , Andrés Gómez , Phebe Vayanos

Given a connected, undirected graph whose edges are labelled (or coloured), the minimum labelling spanning tree (MLST) problem seeks a spanning tree whose edges have the smallest number of distinct labels (or colours). In recent work, the…

Optimization and Control · Mathematics 2014-03-05 Sergio Consoli , Nenad Mladenovic , Jose Andres Moreno-Perez

Minimum spanning trees (MSTs) provide a convenient representation of datasets in numerous pattern recognition activities. Moreover, they are relatively fast to compute. In this paper, we quantify the extent to which they are meaningful in…

Machine Learning · Statistics 2025-10-16 Marek Gagolewski , Anna Cena , Maciej Bartoszuk , Łukasz Brzozowski

We consider the problem of robustifying high-dimensional structured estimation. Robust techniques are key in real-world applications which often involve outliers and data corruption. We focus on trimmed versions of structurally regularized…

Machine Learning · Statistics 2017-08-22 Eunho Yang , Aurelie Lozano , Aleksandr Aravkin

In this paper, we study the form over the minimum spanning tree problem (MST) from which we will derive an intuitively generalized model and new methods with the upper bound of runtimes of logarithm. The new pattern we made has taken…

Discrete Mathematics · Computer Science 2017-06-26 Yong Tan

Tree-based models underpin many modern semantic search engines and recommender systems due to their sub-linear inference times. In industrial applications, these models operate at extreme scales, where every bit of performance is critical.…

Machine Learning · Computer Science 2022-02-25 Philip A. Etter , Kai Zhong , Hsiang-Fu Yu , Lexing Ying , Inderjit Dhillon

The extraction of causal information from textual data is crucial in the industry for identifying and mitigating potential failures, enhancing process efficiency, prompting quality improvements, and addressing various operational…

Computation and Language · Computer Science 2025-02-28 Houssam Razouk , Leonie Benischke , Daniel Garber , Roman Kern

Decision trees usefully represent sparse, high dimensional and noisy data. Having learned a function from this data, we may want to thereafter integrate the function into a larger decision-making problem, e.g., for picking the best chemical…

Optimization and Control · Mathematics 2019-09-26 Miten Mistry , Dimitrios Letsios , Gerhard Krennrich , Robert M. Lee , Ruth Misener

Language model approaches have recently been integrated into binary analysis tasks, such as function similarity detection and function signature recovery. These models typically employ a two-stage training process: pre-training via Masked…

Software Engineering · Computer Science 2024-12-24 Hanxiao Lu , Hongyu Cai , Yiming Liang , Antonio Bianchi , Z. Berkay Celik

Adapting a pretrained diffusion model to new objectives at inference time remains an open problem in generative modeling. Existing steering methods suffer from inaccurate value estimation, especially at high noise levels, which biases…

Machine Learning · Computer Science 2025-06-27 Vineet Jain , Kusha Sareen , Mohammad Pedramfar , Siamak Ravanbakhsh

Database Management Systems (DBMSs) are fundamental infrastructure for modern data-driven applications, where thorough testing with high-quality SQL test cases is essential for ensuring system reliability. Traditional approaches such as…

Software Engineering · Computer Science 2026-03-24 Yujia Chen , Yingli Zhou , Fangyuan Zhang , Cuiyun Gao

A new Bayesian modelling framework is introduced for piece-wise homogeneous variable-memory Markov chains, along with a collection of effective algorithmic tools for change-point detection and segmentation of discrete time series. Building…

Methodology · Statistics 2025-01-14 Valentinian Lungu , Ioannis Papageorgiou , Ioannis Kontoyiannis

Analysis of sample survey data often requires adjustments to account for missing data in the outcome variables of principal interest. Standard adjustment methods based on item imputation or on propensity weighting factors rely heavily on…

Methodology · Statistics 2016-03-08 Wei-Yin Loh , John Eltinge , MoonJung Cho , Yuanzhi Li

Random forests are an ensemble method relevant for many problems, such as regression or classification. They are popular due to their good predictive performance (compared to, e.g., decision trees) requiring only minimal tuning of…

Methodology · Statistics 2022-10-20 Nikolaus Umlauf , Nadja Klein

Decision tree (DT) attracts persistent research attention due to its impressive empirical performance and interpretability in numerous applications. However, the growth of traditional yet widely-used univariate decision trees (UDTs) is…

Machine Learning · Computer Science 2022-06-22 Dan Li , Songcan Chen

We present a novel method for quantifying dependencies in multivariate datasets, based on estimating the R\'{e}nyi entropy by minimum spanning trees (MSTs). The length of the MSTs can be used to order pairs of variables from strongly to…

Statistics Theory · Mathematics 2019-04-16 A. W. Eggels , D. T. Crommelin

Modern large-scale recommendation systems rely heavily on user interaction history sequences to enhance the model performance. The advent of large language models and sequential modeling techniques, particularly transformer-like…

Information Retrieval · Computer Science 2026-03-27 Zhimin Chen , Chenyu Zhao , Ka Chun Mo , Yunjiang Jiang , Jane H. Lee , Khushhall Chandra Mahajan , Ning Jiang , Kai Ren , Jinhui Li , Wen-Yun Yang

As machine learning models grow increasingly competent, their predictions can supplement scarce or expensive data in various important domains. In support of this paradigm, algorithms have emerged to combine a small amount of high-fidelity…

Machine Learning · Computer Science 2025-07-08 Zhun Deng , Thomas P Zollo , Benjamin Eyre , Amogh Inamdar , David Madras , Richard Zemel

Accurate semantic segmentation models typically require significant computational resources, inhibiting their use in practical applications. Recent works rely on well-crafted lightweight models to achieve fast inference. However, these…

Computer Vision and Pattern Recognition · Computer Science 2023-02-20 Danna Xue , Fei Yang , Pei Wang , Luis Herranz , Jinqiu Sun , Yu Zhu , Yanning Zhang

Estimation and inference with modern longitudinal data from wearable devices, which consist of biological signals at high-frequency time points, is burdened by massive computational costs. We propose a distributed estimation and inference…

Methodology · Statistics 2023-09-13 Cole Manschot , Emily C. Hector