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Number prediction stands as a fundamental capability of large language models (LLMs) in mathematical problem-solving and code generation. The widely adopted maximum likelihood estimation (MLE) for LLM training is not tailored to number…

Computation and Language · Computer Science 2026-05-21 Zhaohui Zheng , Chenhang He , Shihao Wang , Yuxuan Li , Ming-Ming Cheng , Lei Zhang

Large language models (LLMs) have shown impressive in-context learning (ICL) ability in code generation. LLMs take a prompt consisting of requirement-code examples and a new requirement as input, and output new programs. Existing studies…

Software Engineering · Computer Science 2023-10-17 Jia Li , Ge Li , Chongyang Tao , Jia Li , Huangzhao Zhang , Fang Liu , Zhi Jin

To investigate the complex dynamics of a biological neuron that is subject to small random perturbations we can use stochastic neuron models. While many techniques have already been developed to study properties of such models, especially…

Neurons and Cognition · Quantitative Biology 2017-07-18 Jan H. Kirchner

Although stochastic approximation learning methods have been widely used in the machine learning literature for over 50 years, formal theoretical analyses of specific machine learning algorithms are less common because stochastic…

Machine Learning · Statistics 2017-04-21 Richard M. Golden

The statistics and machine learning communities have recently seen a growing interest in classification-based approaches to two-sample testing. The outcome of a classification-based two-sample test remains a rejection decision, which is not…

Statistics Theory · Mathematics 2022-11-15 Loris Michel , Jeffrey Näf , Nicolai Meinshausen

Large Language Models (LLMs) have demonstrated remarkable capabilities across various domains. Math Word Problems (MWPs) serve as a crucial benchmark for evaluating LLMs' reasoning abilities. While most research primarily focuses on…

Computation and Language · Computer Science 2025-09-09 Yuhong Sun , Zhangyue Yin , Xuanjing Huang , Xipeng Qiu , Hui Zhao

Using machine learning (ML) techniques in general and deep learning techniques in specific needs a certain amount of data often not available in large quantities in technical domains. The manual inspection of machine tool components and the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Tobias Schlagenhauf , Magnus Landwehr , Juergen Fleischer

Due to its probabilistic nature, fault prognostics is a prime example of a use case for deep learning utilizing big data. However, the low availability of such data sets combined with the high effort of fitting, parameterizing and…

Machine Learning · Computer Science 2023-01-05 Benjamin Maschler

Machine Learning (ML) can substantially improve the efficiency and effectiveness of organizations and is widely used for different purposes within Software Engineering. However, the selection and implementation of ML techniques rely almost…

Software Engineering · Computer Science 2021-09-30 Gouri Deshpande , Guenther Ruhe , Chad Saunders

This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

We study the training dynamics of neural classifiers through the lens of binary hypothesis testing. We re-formalize classification as a collection of binary tests between class-conditional distributions induced by learned representations…

Machine Learning · Computer Science 2026-05-18 Kadircan Aksoy , Protim Bhattacharjee , Peter Jung

The Central Limit Theorem provides a foundation for inferential statistics and hypothesis testing. It describes how standardized statistics behave under repeated sampling from large populations. However, if the size of the sample (n)…

Methodology · Statistics 2026-05-19 Mike Crowhurst

Score-based diffusion models have demonstrated outstanding empirical performance in machine learning and artificial intelligence, particularly in generating high-quality new samples from complex probability distributions. Improving the…

Machine Learning · Statistics 2025-05-30 Yuchen Jiao , Gen Li

For many causal effect parameters of interest, doubly robust machine learning (DRML) estimators $\hat{\psi}_{1}$ are the state-of-the-art, incorporating the good prediction performance of machine learning; the decreased bias of doubly…

Machine Learning · Statistics 2020-07-14 Lin Liu , Rajarshi Mukherjee , James M. Robins

In many derivative-free optimization algorithms, a sufficient decrease condition decides whether to accept a trial step in each iteration. This condition typically requires that the potential objective function value decrease of the trial…

Optimization and Control · Mathematics 2025-09-19 Anjie Ding , Francesco Rinaldi , Luis Nunes Vicente

Semi-supervised learning methods are motivated by the availability of large datasets with unlabeled features in addition to labeled data. Unlabeled data is, however, not guaranteed to improve classification performance and has in fact been…

Machine Learning · Statistics 2019-10-25 Xiuming Liu , Dave Zachariah , Johan Wågberg , Thomas B. Schön

Context: Machine learning (ML) may enable effective automated test generation. Objective: We characterize emerging research, examining testing practices, researcher goals, ML techniques applied, evaluation, and challenges. Methods: We…

Software Engineering · Computer Science 2023-04-18 Afonso Fontes , Gregory Gay

We study the rates of convergence in generalization error achievable by active learning under various types of label noise. Additionally, we study the general problem of model selection for active learning with a nested hierarchy of…

Statistics Theory · Mathematics 2011-03-10 Steve Hanneke

Deep learning (DL) creates impactful advances following a virtuous recipe: model architecture search, creating large training data sets, and scaling computation. It is widely believed that growing training sets and models should improve…

In-context learning (ICL) has emerged as a particularly remarkable characteristic of Large Language Models (LLM): given a pretrained LLM and an observed dataset, LLMs can make predictions for new data points from the same distribution…

Machine Learning · Statistics 2024-06-04 Fabian Falck , Ziyu Wang , Chris Holmes
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