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In this paper we explore how machine learning techniques can be applied to the discovery of efficient mathematical identities. We introduce an attribute grammar framework for representing symbolic expressions. Given a set of grammar rules…

机器学习 · 计算机科学 2014-11-07 Wojciech Zaremba , Karol Kurach , Rob Fergus

Cluster analysis is one of the essential tasks in data mining and knowledge discovery. Each type of data poses unique challenges in achieving relatively efficient partitioning of the data into homogeneous groups. While the algorithms for…

机器学习 · 计算机科学 2018-12-11 Ruben A. Gevorgyan , Yenok B. Hakobyan

This work demonstrates a methodology for using deep learning to discover simple, practical criteria for classifying matrices based on abstract algebraic properties. By combining a high-performance neural network with explainable AI (XAI)…

机器学习 · 计算机科学 2025-07-31 Leandro Farina , Sergey Korotov

Structure learning is a core problem in AI central to the fields of neuro-symbolic AI and statistical relational learning. It consists in automatically learning a logical theory from data. The basis for structure learning is mining…

人工智能 · 计算机科学 2023-06-21 Jonathan Feldstein , Dominic Phillips , Efthymia Tsamoura

Citation-based Information Retrieval (IR) methods for scientific documents have proven effective for IR applications, such as Plagiarism Detection or Literature Recommender Systems in academic disciplines that use many references. In…

信息检索 · 计算机科学 2023-03-21 Philipp Scharpf , Moritz Schubotz , Howard S. Cohl , Corinna Breitinger , Bela Gipp

Benchmarks are crucial to measuring and steering progress in artificial intelligence (AI). However, recent studies raised concerns over the state of AI benchmarking, reporting issues such as benchmark overfitting, benchmark saturation and…

人工智能 · 计算机科学 2022-12-13 Simon Ott , Adriano Barbosa-Silva , Kathrin Blagec , Jan Brauner , Matthias Samwald

Modern multimodal generators can now produce scientific figures at near-publishable quality, creating a new challenge for visual forensics and research integrity. Unlike conventional AI-generated natural images, scientific figures are…

计算机视觉与模式识别 · 计算机科学 2026-04-10 You Hu , Chenzhuo Zhao , Changfa Mo , Haotian Liu , Xiaobai Li

Clustering has long been a popular unsupervised learning approach to identify groups of similar objects and discover patterns from unlabeled data in many applications. Yet, coming up with meaningful interpretations of the estimated clusters…

统计方法学 · 统计学 2020-05-26 Minjie Wang , Tianyi Yao , Genevera I. Allen

Artificial intelligence systems are transforming scientific discovery by accelerating specific research tasks, from protein structure prediction to materials design, yet remain confined to narrow domains requiring substantial human…

In this paper we consider a variety of procedures for numerical statistical inference in the family of univariate and multivariate stable distributions. In connection with univariate distributions (i) we provide approximations by finite…

统计计算 · 统计学 2012-09-04 Efthymios G. Tsionas

Explainable AI (XAI) is an important developing area but remains relatively understudied for clustering. We propose an explainable-by-design clustering approach that not only finds clusters but also exemplars to explain each cluster. The…

人工智能 · 计算机科学 2022-09-21 Ian Davidson , Michael Livanos , Antoine Gourru , Peter Walker , Julien Velcin , S. S. Ravi

We resolve a long-standing open question, about the existence of a constant-factor approximation algorithm for the average-case \textsc{Decision Tree} problem with uniform probability distribution over the hypotheses. We answer the question…

数据结构与算法 · 计算机科学 2026-04-29 Michał Szyfelbein

In the field of machine learning there is a growing interest towards more robust and generalizable algorithms. This is for example important to bridge the gap between the environment in which the training data was collected and the…

机器学习 · 计算机科学 2020-10-08 Wim Casteels , Peter Hellinckx

Fine-grained category discovery using only coarse-grained supervision is a cost-effective yet challenging task. Previous training methods focus on aligning query samples with positive samples and distancing them from negatives. They often…

人工智能 · 计算机科学 2025-02-07 Chang Tian , Matthew B. Blaschko , Wenpeng Yin , Mingzhe Xing , Yinliang Yue , Marie-Francine Moens

A model-based approach is developed for clustering categorical data with no natural ordering. The proposed method exploits the Hamming distance to define a family of probability mass functions to model the data. The elements of this family…

统计方法学 · 统计学 2024-07-02 Raffaele Argiento , Edoardo Filippi-Mazzola , Lucia Paci

Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are…

机器学习 · 计算机科学 2025-10-15 Huiyang Yi , Yanyan He , Duxin Chen , Mingyu Kang , He Wang , Wenwu Yu

Matrix Factorization plays an important role in machine learning such as Non-negative Matrix Factorization, Principal Component Analysis, Dictionary Learning, etc. However, most of the studies aim to minimize the loss by measuring the…

机器学习 · 计算机科学 2021-11-30 Kai Liu

When causal quantities cannot be point identified, researchers often pursue partial identification to quantify the range of possible values. However, the peculiarities of applied research conditions can make this analytically intractable.…

统计方法学 · 统计学 2021-09-29 Guilherme Duarte , Noam Finkelstein , Dean Knox , Jonathan Mummolo , Ilya Shpitser

The gradual patterns that model the complex co-variations of attributes of the form "The more/less X, The more/less Y" play a crucial role in many real world applications where the amount of numerical data to manage is important, this is…

机器学习 · 计算机科学 2020-05-25 Michaël Chirmeni Boujike , Jerry Lonlac , Norbert Tsopze , Engelbert Mephu Nguifo

Distance-based methods involve the computation of distance values between features and are a well-established paradigm in machine learning. In anomaly detection, anomalies are identified by their large distance from normal data points.…

天体物理仪器与方法 · 物理学 2025-10-29 Siddharth Chaini , Federica B. Bianco , Ashish Mahabal