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This dissertation focuses on the design and the implementation of domain-specific compilers for linear algebra matrix equations. The development of efficient libraries for such equations, which lie at the heart of most software for…

Mathematical Software · Computer Science 2014-04-15 Diego Fabregat-Traver

Computer Algebra systems are widely spread because of some of their remarkable features such as their ease of use and performance. Nonetheless, this focus on performance sometimes leads to unwanted consequences: algorithms and computations…

Logic in Computer Science · Computer Science 2014-01-27 Jesús Aransay , Jose Divasón

The main XAI attribution methods for deep neural networks -- GradCAM, SHAP, LIME, Integrated Gradients -- operate on separate theoretical foundations and are not formally comparable. We present GRALIS (Gradient-Riesz Averaged…

Machine Learning · Computer Science 2026-05-20 Raimondo Fanale

Goupil is a software library designed for the Monte Carlo transport of low-energy gamma-rays, such as those emitted from radioactive isotopes. The library is distributed as a Python module. It implements a dedicated backward sampling…

Computational Physics · Physics 2025-05-20 Valentin Niess , Kinson Vernet , Luca Terray

Despite achieving superior performance in human-level control problems, unlike humans, deep reinforcement learning (DRL) lacks high-order intelligence (e.g., logic deduction and reuse), thus it behaves ineffectively than humans regarding…

Artificial Intelligence · Computer Science 2022-05-30 Yushi Cao , Zhiming Li , Tianpei Yang , Hao Zhang , Yan Zheng , Yi Li , Jianye Hao , Yang Liu

Genetic algorithms are stochastic iterative algorithms in which a population of individuals evolve by emulating the process of biological evolution and natural selection. The R package GA provides a collection of general purpose functions…

Computation · Statistics 2018-07-19 Luca Scrucca

Generalized linear models (GLMs) -- such as logistic regression, Poisson regression, and robust regression -- provide interpretable models for diverse data types. Probabilistic approaches, particularly Bayesian ones, allow coherent…

Computation · Statistics 2018-12-19 Jonathan H. Huggins , Ryan P. Adams , Tamara Broderick

Domain scientists increasingly develop Python scripts to analyze satellite imagery but they lack scalability to large-scale data. This paper demonstrates GRAIL, an agentic translation system that converts Python geospatial workflows into…

Artificial Intelligence · Computer Science 2026-05-26 Zhuocheng Shang , Ahmed Eldawy

Solving math problems through verifiable languages such as Lean has significantly impacted both the mathematics and computer science communities. Current state-of-the-art models are often trained with expensive online Reinforcement Learning…

Machine Learning · Computer Science 2026-03-03 Ruida Wang , Jiarui Yao , Rui Pan , Shizhe Diao , Tong Zhang

Geo-replicated systems provide a number of desirable properties such as globally low latency, high availability, scalability, and built-in fault tolerance. Unfortunately, programming correct applications on top of such systems has proven to…

Programming Languages · Computer Science 2025-02-27 Kartik Nagar , Prasita Mukherjee , Suresh Jagannathan

Quantitative MRI (qMRI) offers tissue-specific biomarkers that can be tracked over time or compared across populations; however, its adoption in clinical research is hindered by significant computational demands of parameter estimation.…

Image and Video Processing · Electrical Eng. & Systems 2025-12-01 Kwok-Shing Chan , Hansol Lee , Yixin Ma , Berkin Bilgic , Susie Y. Huang , Hong-Hsi Lee , José P. Marques

We introduce Generalized Integrated Gradients (GIG), a formal extension of the Integrated Gradients (IG) (Sundararajan et al., 2017) method for attributing credit to the input variables of a predictive model. GIG improves IG by explaining a…

Machine Learning · Computer Science 2019-09-10 John Merrill , Geoff Ward , Sean Kamkar , Jay Budzik , Douglas Merrill

We present a novel adaptation of active learning to graph-based semi-supervised learning (SSL) under non-Gaussian Bayesian models. We present an approximation of non-Gaussian distributions to adapt previously Gaussian-based acquisition…

Machine Learning · Statistics 2020-07-23 Kevin Miller , Hao Li , Andrea L. Bertozzi

We present new algorithms to synthesize exact universal reversible gate library for various types of gates and costs. We use the powerful algebraic software GAP for implementation and examination of our algorithms and the reversible logic…

Emerging Technologies · Computer Science 2016-01-01 Rasha Montaser , Ahmed Younes , Mahmoud Abdel-Aty

Iterative methods for computing matrix functions have been extensively studied and their convergence speed can be significantly improved with the right tuning of parameters and by mixing different iteration types. Handtuning the design…

Machine Learning · Computer Science 2025-07-17 Sungyoon Kim , Rajat Vadiraj Dwaraknath , Longling geng , Mert Pilanci

As large language models (LLMs) are increasingly used across various applications, there is a growing need to control text generation to satisfy specific constraints or requirements. This raises a crucial question: Is it possible to…

Computation and Language · Computer Science 2025-07-03 Minbeom Kim , Thibaut Thonet , Jos Rozen , Hwaran Lee , Kyomin Jung , Marc Dymetman

Solving arithmetic tasks is a simple and fundamental skill, yet modern Large Language Models (LLMs) have great difficulty with them. We introduce the Integrated Gated Calculator (IGC), a module that enables LLMs to perform arithmetic by…

Machine Learning · Computer Science 2025-01-03 Florian Dietz , Dietrich Klakow

Imitation Learning (IL) is a widely adopted approach which enables agents to learn from human expert demonstrations by framing the task as a supervised learning problem. However, IL often suffers from causal confusion, where agents…

Robotics · Computer Science 2025-07-31 Amin Banayeeanzade , Fatemeh Bahrani , Yutai Zhou , Erdem Bıyık

The role of AI-generated synthetic data has recently been expanded to support realistic Monte Carlo simulations. However, guidance is limited on generating data with multilevel structures and designing simulations based on such data. This…

Methodology · Statistics 2026-05-08 Youmi Suk , Chenguang Pan , Weixuan Xiao

Liesel is a new probabilistic programming framework developed with the aim of supporting research on Bayesian inference based on Markov chain Monte Carlo (MCMC) simulations in general and semi-parametric regression specifications in…

Computation · Statistics 2023-12-01 Hannes Riebl , Paul F. V. Wiemann , Thomas Kneib
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