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We construct neural network regression models to predict key metrics of complexity for Gr\"obner bases of binomial ideals. This work illustrates why predictions with neural networks from Gr\"obner computations are not a straightforward…

Commutative Algebra · Mathematics 2025-08-28 Shahrzad Jamshidi , Eric Kang , Sonja Petrović

Recent advances in the field of machine learning open a new era in high performance computing. Applications of machine learning algorithms for the development of accurate and cost-efficient surrogates of complex problems have already…

Numerical Analysis · Mathematics 2022-08-26 Stefanos Nikolopoulos , Ioannis Kalogeris , Vissarion Papadopoulos , George Stavroulakis

Backpropagation is driving today's artificial neural networks (ANNs). However, despite extensive research, it remains unclear if the brain implements this algorithm. Among neuroscientists, reinforcement learning (RL) algorithms are often…

Neurons and Cognition · Quantitative Biology 2020-04-24 Benjamin James Lansdell , Prashanth Ravi Prakash , Konrad Paul Kording

Retrieval-augmented generation (RAG) has become a cornerstone for knowledge-intensive tasks. However, the efficacy of RAG is often bottlenecked by the ``one-size-fits-all'' retrieval paradigm, as different queries exhibit distinct…

Information Retrieval · Computer Science 2026-04-28 Tong Zhao , Yutao Zhu , Yucheng Tian , Zhicheng Dou

The surge in scientific publications challenges traditional review methods, demanding tools that integrate structured metadata with full-text analysis. Hybrid Retrieval Augmented Generation (RAG) systems, combining graph queries with vector…

Class attribution maps (CAMs) provide local explanations for the decisions of convolutional neural networks. While widely used in practice, the evaluation of CAMs remains challenging due to the lack of ground-truth explanations, making it…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Luca Domeniconi , Alessandra Stramiglio , Michele Lombardi , Samuele Salti

Approximate computing has in recent times found significant applications towards lowering power, area, and time requirements for arithmetic operations. Several works done in recent years have furthered approximate computing along these…

Hardware Architecture · Computer Science 2020-09-01 Rajat Bhattacharjya , Vishesh Mishra , Saurabh Singh , Kaustav Goswami , Dip Sankar Banerjee

Upcoming Large Scale Structure surveys aim to achieve an unprecedented level of precision in measuring galaxy clustering. However, accurately modeling these statistics may require theoretical templates that go beyond second-order…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-21 M. Icaza-Lizaola , Yong-Seon Song , Minji Oh , Yi Zheng

Gradient boosting algorithms construct a regression predictor using a linear combination of ``base learners''. Boosting also offers an approach to obtaining robust non-parametric regression estimators that are scalable to applications with…

Methodology · Statistics 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

Retrieval-augmented generation (RAG) has evolved into a family of paradigms with distinct performance profiles and resource demands, turning paradigm selection into a multi-criteria, context-dependent decision problem. Nevertheless,…

Information Retrieval · Computer Science 2026-04-07 Ziqi Wang , Xi Zhu , Shuhang Lin , Haochen Xue , Minghao Guo , Yongfeng Zhang

Cardinality estimation (CE) plays a crucial role in many database-related tasks such as query generation, cost estimation, and join ordering. Lately, we have witnessed the emergence of numerous learned CE models. However, no single CE model…

Databases · Computer Science 2024-09-25 Jintao Zhang , Chao Zhang , Guoliang Li , Chengliang Chai

Multi-agent reinforcement learning (MARL) is a powerful paradigm for solving cooperative and competitive decision-making problems. While many MARL benchmarks have been proposed, few combine continuous state and action spaces with…

Artificial Intelligence · Computer Science 2025-11-18 Artem Pshenitsyn , Aleksandr Panov , Alexey Skrynnik

Cardinality estimation is a fundamental functionality in database systems. Most existing cardinality estimators focus on handling predicates over numeric or categorical data. They have largely omitted an important data type, set-valued…

Databases · Computer Science 2025-03-20 Yufan Sheng , Xin Cao , Kaiqi Zhao , Yixiang Fang , Jianzhong Qi , Wenjie Zhang , Christian S. Jensen

Stochastic gradient descent (SGD) and its many variants are the widespread optimization algorithms for training deep neural networks. However, SGD suffers from inevitable drawbacks, including vanishing gradients, lack of theoretical…

Machine Learning · Computer Science 2024-01-09 Zeinab Ebrahimi , Gustavo Batista , Mohammad Deghat

Generative recommendation (GR) has emerged as a promising paradigm that predicts target items by autoregressively generating their semantic identifiers (SID). Most GR methods follow a quantization-representation-generation pipeline, first…

Information Retrieval · Computer Science 2026-05-13 Ziwei Liu , Yejing Wang , Shengyu Zhou , Xinhang Li , Xiangyu Zhao

A graphical model is a structured representation of the data generating process. The traditional method to reason over random variables is to perform inference in this graphical model. However, in many cases the generating process is only a…

Machine Learning · Statistics 2019-10-31 Victor Garcia Satorras , Zeynep Akata , Max Welling

This work presents new cardinality estimation methods for data sets recorded by HyperLogLog sketches. A simple derivation of the original estimator was found, that also gives insight how to correct its deficiencies. The result is an…

Data Structures and Algorithms · Computer Science 2017-06-23 Otmar Ertl

Efficient topology optimization based on the adaptive auxiliary reduced model reanalysis (AARMR) is proposed to improve computational efficiency and scale. In this method, a projection auxiliary reduced model (PARM) is integrated into the…

Computational Engineering, Finance, and Science · Computer Science 2023-01-04 Jichao Yin , Hu Wang , Shuhao Li , Daozhen Guo

We explore a reinforcement learning strategy to automate and accelerate h/p-multigrid methods in high-order solvers. Multigrid methods are very efficient but require fine-tuning of numerical parameters, such as the number of smoothing…

Machine Learning · Computer Science 2024-07-24 David Huergo , Laura Alonso , Saumitra Joshi , Adrian Juanicoteca , Gonzalo Rubio , Esteban Ferrer

This article proposes novel estimation methods for the Matrix Autoregressive (MAR) model, specifically adaptations of the Yule-Walker equations and Burg's method, addressing limitations in existing techniques. The MAR model, by maintaining…

Statistics Theory · Mathematics 2025-05-22 Kamil Kołodziejski