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The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

Methodology · Statistics 2016-07-04 Abhik Ghosh , Ayanendranath Basu

Test cases are essential for software development and maintenance. In practice, developers derive multiple test cases from an implicit pattern based on their understanding of requirements and inference of diverse test scenarios, each…

Software Engineering · Computer Science 2026-04-28 Binhang Qi , Yun Lin , Xinyi Weng , Chenyan Liu , Hailong Sun , Gordon Fraser , Jin Song Dong

TensorKit.jl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries. This paper introduces the design philosophy, core functionalities, and distinctive features, including how to…

Mathematical Software · Computer Science 2025-08-15 Lukas Devos , Jutho Haegeman

Target encoding is an effective encoding technique of categorical variables and is often used in machine learning systems for processing tabular data sets with mixed numeric and categorical variables. Recently en enhanced version of this…

Machine Learning · Computer Science 2020-11-24 Michael Larionov

Large language models (LLMs) have exhibited exciting progress in multiple scenarios, while the huge computational demands hinder their deployments in lots of real-world applications. As an effective means to reduce memory footprint and…

Machine Learning · Computer Science 2024-06-21 Yijun Liu , Yuan Meng , Fang Wu , Shenhao Peng , Hang Yao , Chaoyu Guan , Chen Tang , Xinzhu Ma , Zhi Wang , Wenwu Zhu

The importance of computers is continually increasing in radiotherapy. Efficient algorithms, implementations and the ability to leverage advancements in computer science are crucial to improve cancer care even further and deliver the best…

Medical Physics · Physics 2024-07-08 Renato Bellotti , Antony J. Lomax , Andreas Adelmann , Jan Hrbacek

Generic programming is an effective methodology for developing reusable software libraries. Many programming languages provide generics and have features for describing interfaces, but none completely support the idioms used in generic…

Programming Languages · Computer Science 2007-08-17 Jeremy G. Siek , Andrew Lumsdaine

Ensuring the reliability and verifiability of large language model (LLM)-enabled systems remains a significant challenge in software engineering. We propose a probabilistic framework for systematically analyzing and improving these systems…

Software Engineering · Computer Science 2025-04-15 Juan Manuel Baldonado , Flavia Bonomo-Braberman , Víctor Adrián Braberman

The best practical techniques for exact solution of instances of the constrained maximum-entropy sampling problem, a discrete-optimization problem arising in the design of experiments, are via a branch-and-bound framework, working with a…

Optimization and Control · Mathematics 2024-02-19 Zhongzhu Chen , Marcia Fampa , Jon Lee

Sampling is a fundamental technique, and sampling without replacement is often desirable when duplicate samples are not beneficial. Within machine learning, sampling is useful for generating diverse outputs from a trained model. We present…

Machine Learning · Computer Science 2021-07-21 Kensen Shi , David Bieber , Charles Sutton

Mathematical formulae carry complex and essential semantic information in a variety of formats. Accessing this information with different systems requires a standardized machine-readable format that is capable of encoding presentational and…

Digital Libraries · Computer Science 2021-09-20 André Greiner-Petter , Moritz Schubotz , Howard S. Cohl , Bela Gipp

Since time immemorial an old adage has always seemed to ring true: you cannot use a high-level productive programming language like Python or R for real-time control and embedded-systems programming, you must rewrite your program in C. We…

Systems and Control · Electrical Eng. & Systems 2025-02-10 Fredrik Bagge Carlson , Cody Tapscott , Gabriel Baraldi , Chris Rackauckas

We argue that the Julia programming language is a compelling alternative to implementations in Python and C++ for common data analysis workflows in high energy physics. We compare the speed of implementations of different workflows in Julia…

Computational Physics · Physics 2021-04-13 Marcel Stanitzki , Jan Strube

In many population-based medical studies, the specific cause of death is unidentified, unreliable or even unavailable. Relative survival analysis addresses this scenario, outside of standard (competing risks) survival analysis, to…

Computation · Statistics 2024-08-29 Rim Alhajal , Oskar Laverny

BlackJAX is a library implementing sampling and variational inference algorithms commonly used in Bayesian computation. It is designed for ease of use, speed, and modularity by taking a functional approach to the algorithms' implementation.…

Large language models (LLMs) are advancing at an unprecedented pace globally, with regions increasingly adopting these models for applications in their primary language. Evaluation of these models in diverse linguistic environments,…

The 'signature method' refers to a collection of feature extraction techniques for multivariate time series, derived from the theory of controlled differential equations. There is a great deal of flexibility as to how this method can be…

Machine Learning · Computer Science 2021-02-09 James Morrill , Adeline Fermanian , Patrick Kidger , Terry Lyons

The integration of tools in augmenting large language models presents a novel approach toward enhancing the efficiency and accuracy of these models in handling specific, complex tasks. This paper delves into the methodology,challenges, and…

Artificial Intelligence · Computer Science 2024-09-30 Zhuocheng Shen

In this paper we analyze two-dimensional wavelet reconstructions from Fourier samples within the framework of generalized sampling. For this, we consider both separable compactly-supported wavelets and boundary wavelets. We prove that the…

Functional Analysis · Mathematics 2014-03-25 Ben Adcock , Anders C. Hansen , Gitta Kutyniok , Jackie Ma

Due to recent technological developments, Machine Learning (ML), a subfield of Artificial Intelligence (AI), has been successfully used to process and extract knowledge from a variety of complex problems. However, a thorough ML approach is…

Machine Learning · Computer Science 2018-09-10 João R. Campos , Marco Vieira , Ernesto Costa