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Matrices resulting from the discretization of a kernel function, e.g., in the context of integral equations or sampling probability distributions, can frequently be approximated by interpolation. In order to improve the efficiency, a…

Numerical Analysis · Mathematics 2021-12-10 Steffen Börm

Due to the unprecedented success of deep learning, it has become an integral component in several multimedia computing applications in todays world. Unfortunately, deep learning systems are not perfect and can fail, sometimes abruptly,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Varun Totakura , Shayok Chakraborty

Sampling is an established technique to scale graph neural networks to large graphs. Current approaches however assume the graphs to be homogeneous in terms of relations and ignore relation types, critically important in biomedical graphs.…

Machine Learning · Computer Science 2021-05-31 Arthur Feeney , Rishabh Gupta , Veronika Thost , Rico Angell , Gayathri Chandu , Yash Adhikari , Tengfei Ma

Graphs have a superior ability to represent relational data, like chemical compounds, proteins, and social networks. Hence, graph-level learning, which takes a set of graphs as input, has been applied to many tasks including comparison,…

Machine Learning · Computer Science 2023-05-26 Zhenyu Yang , Ge Zhang , Jia Wu , Jian Yang , Quan Z. Sheng , Shan Xue , Chuan Zhou , Charu Aggarwal , Hao Peng , Wenbin Hu , Edwin Hancock , Pietro Liò

Graph link prediction is an important task in cyber-security: relationships between entities within a computer network, such as users interacting with computers, or system libraries and the corresponding processes that use them, can provide…

Applications · Statistics 2022-08-10 Francesco Sanna Passino , Melissa J. M. Turcotte , Nicholas A. Heard

Monitoring machine learning (ML) systems is hard, with standard practice focusing on detecting distribution shifts rather than their causes. Root-cause analysis often relies on manual tracing to determine whether a shift is caused by…

Software Engineering · Computer Science 2025-10-28 Joran Leest , Ilias Gerostathopoulos , Patricia Lago , Claudia Raibulet

Linear algebra's main concerns are sets of vectors, linear functions, subspaces, linear systems, matrices and concepts about those, such as whether the solution of linear system exists or is unique; a set of vectors is linearly independent…

Symbolic Computation · Computer Science 2025-04-15 Iago Leal de Freitas , Júlia Mota , João Paixão , Lucas Rufino

Machine learning plays a role in many deployed decision systems, often in ways that are difficult or impossible to understand by human stakeholders. Explaining, in a human-understandable way, the relationship between the input and output of…

Machine Learning · Computer Science 2022-11-17 Sahil Verma , Varich Boonsanong , Minh Hoang , Keegan E. Hines , John P. Dickerson , Chirag Shah

This survey describes probabilistic algorithms for linear algebra computations, such as factorizing matrices and solving linear systems. It focuses on techniques that have a proven track record for real-world problem instances. The paper…

Numerical Analysis · Mathematics 2021-03-17 Per-Gunnar Martinsson , Joel Tropp

Mapper and Ball Mapper are Topological Data Analysis tools used for exploring high dimensional point clouds and visualizing scalar-valued functions on those point clouds. Inspired by open questions in knot theory, new features are added to…

Algebraic Topology · Mathematics 2023-03-29 Paweł Dłotko , Davide Gurnari , Radmila Sazdanovic

Meta-learning, or learning-to-learn, seeks to design algorithms that can utilize previous experience to rapidly learn new skills or adapt to new environments. Representation learning -- a key tool for performing meta-learning -- learns a…

Machine Learning · Computer Science 2022-01-04 Nilesh Tripuraneni , Chi Jin , Michael I. Jordan

To select the best algorithm for a new problem is an expensive and difficult task. However, there are automatic solutions to address this problem: using Metalearning, which takes advantage of problem characteristics (i.e. metafeatures), one…

Information Retrieval · Computer Science 2018-07-25 Tiago Cunha , Carlos Soares , André C. P. L. F. de Carvalho

This paper presents a deep learning based model predictive control (MPC) algorithm for systems with unmatched and bounded state-action dependent uncertainties of unknown structure. We utilize a deep neural network (DNN) as an oracle in the…

Machine Learning · Computer Science 2023-04-25 Mateus V. Gasparino , Prabhat K. Mishra , Girish Chowdhary

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

Constructing the adjacency graph is fundamental to graph-based clustering. Graph learning in kernel space has shown impressive performance on a number of benchmark data sets. However, its performance is largely determined by the chosen…

Machine Learning · Computer Science 2019-03-15 Zhao Kang , Liangjian Wen , Wenyu Chen , Zenglin Xu

Existing multi-relational graph neural networks use one of two strategies for identifying informative relations: either they reduce this problem to low-level weight learning, or they rely on handcrafted chains of relational dependencies,…

Machine Learning · Computer Science 2023-11-21 Francesco Ferrini , Antonio Longa , Andrea Passerini , Manfred Jaeger

In this study, the orthogonalization process for different inner products is applied to pairwise comparisons. Properties of consistent approximations of a given inconsistent pairwise comparisons matrix are examined. A method of a derivation…

Other Computer Science · Computer Science 2020-02-18 W. W. Koczkodaj , R. Smarzewski , J. Szybowski

We present a novel methodology to jointly perform multi-task learning and infer intrinsic relationship among tasks by an interpretable and sparse graph. Unlike existing multi-task learning methodologies, the graph structure is not assumed…

Machine Learning · Computer Science 2020-09-15 Shujian Yu , Francesco Alesiani , Ammar Shaker , Wenzhe Yin

Verifying relations between programs arises as a task in various verification contexts such as optimizing transformations, relating new versions of programs with older versions (regression verification), and noninterference. However,…

Programming Languages · Computer Science 2023-03-28 Ramana Nagasamudram , Anindya Banerjee , David A. Naumann

Monte Carlo simulations are based on the manipulation of random numbers to evaluate probable outcomes, with applicability in a variety of different fields. By assigning probabilities, which can be determined a priori, to various events, it…

Physics Education · Physics 2022-01-03 Parasuraman Swaminathan
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