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Global optimization of decision trees is a long-standing challenge in combinatorial optimization, yet such models play an important role in interpretable machine learning. Although the problem has been investigated for several decades, only…

Machine Learning · Computer Science 2026-02-03 Jiancheng Tu , Wenqi Fan , Zhibin Wu

Test-time data augmentation$-$averaging the predictions of a machine learning model across multiple augmented samples of data$-$is a widely used technique that improves the predictive performance. While many advanced learnable data…

Machine Learning · Statistics 2020-06-23 Dmitry Molchanov , Alexander Lyzhov , Yuliya Molchanova , Arsenii Ashukha , Dmitry Vetrov

Training large language models (LLMs) efficiently while preserving model quality poses significant challenges, particularly with subbyte precision supported by state-of-the-art GPUs. Current mixed-precision training approaches either apply…

Machine Learning · Computer Science 2026-02-03 Yunjie Pan , Yongyi Yang , Hanmei Yang , Scott Mahlke

This paper focuses on the development of novel greedy techniques for distributed learning under sparsity constraints. Greedy techniques have widely been used in centralized systems due to their low computational requirements and at the same…

Information Theory · Computer Science 2015-06-23 Symeon Chouvardas , Gerasimos Mileounis , Nicholas Kalouptsidis , Sergios Theodoridis

The standard client selection algorithms for Federated Learning (FL) are often unbiased and involve uniform random sampling of clients. This has been proven sub-optimal for fast convergence under practical settings characterized by…

Machine Learning · Computer Science 2024-02-08 Pranava Singhal , Shashi Raj Pandey , Petar Popovski

Recently, greedy algorithm has received much attention as a cost-effective means to reconstruct the sparse signals from compressed measurements. Much of previous work has focused on the investigation of a single candidate to identify the…

Information Theory · Computer Science 2014-09-22 Jaeseok Lee , Suhyuk Kwon , Jun Won Choi , Byonghyo Shim

Informed sampling techniques accelerate the convergence of sampling-based motion planners by biasing sampling toward regions of the state space that are most likely to yield better solutions. However, when the current solution path contains…

Robotics · Computer Science 2025-11-25 Phone Thiha Kyaw , Anh Vu Le , Rajesh Elara Mohan , Jonathan Kelly

Modelling highly multi-modal data is a challenging problem in machine learning. Most algorithms are based on maximizing the likelihood, which corresponds to the M(oment)-projection of the data distribution to the model distribution. The…

Machine Learning · Computer Science 2020-01-24 Philipp Becker , Oleg Arenz , Gerhard Neumann

We consider a discrete optimization formulation for learning sparse classifiers, where the outcome depends upon a linear combination of a small subset of features. Recent work has shown that mixed integer programming (MIP) can be used to…

Machine Learning · Statistics 2021-06-08 Antoine Dedieu , Hussein Hazimeh , Rahul Mazumder

There is a growing interest in the machine learning community in developing predictive algorithms that are "interpretable by design". Towards this end, recent work proposes to make interpretable decisions by sequentially asking…

Machine Learning · Computer Science 2023-07-11 Aditya Chattopadhyay , Kwan Ho Ryan Chan , Benjamin D. Haeffele , Donald Geman , René Vidal

The randomized projection (RP) method is a simple iterative scheme for solving linear feasibility problems and has recently gained popularity due to its speed and low memory requirement. This paper develops an accelerated variant of the…

Optimization and Control · Mathematics 2022-11-21 Lin Zhu , Yuan Lei , Jiaxin Xie

Feature selection aims to select the smallest feature subset that yields the minimum generalization error. In the rich literature in feature selection, information theory-based approaches seek a subset of features such that the mutual…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Shujian Yu , Jose C. Principe

Hard Thresholding Pursuit (HTP) is an iterative greedy selection procedure for finding sparse solutions of underdetermined linear systems. This method has been shown to have strong theoretical guarantee and impressive numerical performance.…

Machine Learning · Computer Science 2013-11-26 Xiao-Tong Yuan , Ping Li , Tong Zhang

In their standard form Gaussian processes (GPs) provide a powerful non-parametric framework for regression and classificaton tasks. Their one limiting property is their $\mathcal{O}(N^{3})$ scaling where $N$ is the number of training data…

Machine Learning · Statistics 2020-01-16 Vidhi Lalchand , A. C. Faul

Generating semantically coherent text requires a robust internal representation of linguistic structures, which traditional embedding techniques often fail to capture adequately. A novel approach, Latent Lexical Projection (LLP), is…

Computation and Language · Computer Science 2025-03-26 Ziad Shaker , Brendan Ashdown , Hugo Fitzalan , Alistair Heathcote , Jocasta Huntington

Several learning applications require solving high-dimensional regression problems where the relevant features belong to a small number of (overlapping) groups. For very large datasets and under standard sparsity constraints, hard…

Machine Learning · Statistics 2016-05-30 Prateek Jain , Nikhil Rao , Inderjit Dhillon

Cutting planes are crucial for the performance of branch-and-cut algorithms for solving mixed-integer programming (MIP) problems, and linear row aggregation has been successfully applied to better leverage the potential of several major…

Optimization and Control · Mathematics 2025-02-05 Liding Xu , Gioni Mexi , Ksenia Bestuzheva

Social relation reasoning aims to identify relation categories such as friends, spouses, and colleagues from images. While current methods adopt the paradigm of training a dedicated network end-to-end using labeled image data, they are…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Wanhua Li , Zibin Meng , Jiawei Zhou , Donglai Wei , Chuang Gan , Hanspeter Pfister

Large Language Models (LLMs) have demonstrated remarkable capabilities in modeling sequential textual data and generalizing across diverse tasks. However, adapting LLMs to effectively handle structural data, such as knowledge graphs or web…

Computation and Language · Computer Science 2025-11-12 Jiarui Feng , Donghong Cai , Yixin Chen , Muhan Zhang

Slang interpretation has been a challenging downstream task for Large Language Models (LLMs) as the expressions are inherently embedded in contextual, cultural, and linguistic frameworks. In the absence of domain-specific training data, it…

Computation and Language · Computer Science 2026-03-17 Jinghan Cao , Qingyang Ren , Xiangyun Chen , Xinjin Li , Haoxiang Gao , Yu Zhao