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Group convolutions and cross-correlations, which are equivariant to the actions of group elements, are commonly used in mathematics to analyze or take advantage of symmetries inherent in a given problem setting. Here, we provide efficient…

State-of-the-art results in typical classification tasks are mostly achieved by unexplainable machine learning methods, like deep neural networks, for instance. Contrarily, in this paper, we investigate the application of rule learning…

机器学习 · 计算机科学 2024-03-11 Albert Nössig , Tobias Hell , Georg Moser

The success of machine learning algorithms generally depends on data representation, and we hypothesize that this is because different representations can entangle and hide more or less the different explanatory factors of variation behind…

机器学习 · 计算机科学 2014-04-24 Yoshua Bengio , Aaron Courville , Pascal Vincent

Deep learning research aims at discovering learning algorithms that discover multiple levels of distributed representations, with higher levels representing more abstract concepts. Although the study of deep learning has already led to…

机器学习 · 计算机科学 2013-06-10 Yoshua Bengio

Agents and agent systems are becoming more and more important in the development of a variety of fields such as ubiquitous computing, ambient intelligence, autonomous computing, intelligent systems and intelligent robotics. The need for…

人工智能 · 计算机科学 2009-02-23 Mark Burgin , Gordana Dodig-Crnkovic

Categorification is the process of finding category-theoretic analogs of set-theoretic concepts by replacing sets with categories, functions with functors, and equations between functions by natural isomorphisms between functors, which in…

量子代数 · 数学 2014-11-18 John C. Baez , James Dolan

Although we have seen a proliferation of algorithms for recommending visualizations, these algorithms are rarely compared with one another, making it difficult to ascertain which algorithm is best for a given visual analysis scenario.…

人机交互 · 计算机科学 2021-09-08 Zehua Zeng , Phoebe Moh , Fan Du , Jane Hoffswell , Tak Yeon Lee , Sana Malik , Eunyee Koh , Leilani Battle

Here we define a new unification algorithm for terms interpreted in semantic domains denoted by a subclass of regular types here called deterministic regular types. This reflects our intention not to handle the semantic universe as a…

计算机科学中的逻辑 · 计算机科学 2025-02-14 João Barbosa , Mário Florido , Vítor Santos Costa

Precise rules are developed in order to formalize the reasoning processes involved in standard non-relativistic quantum mechanics, with the help of analogies from classical physics. A classical or quantum description of a mechanical system…

量子物理 · 物理学 2007-05-23 Robert B. Griffiths

Human lives are increasingly being affected by the outcomes of automated decision-making systems and it is essential for the latter to be, not only accurate, but also fair. The literature of algorithmic fairness has grown considerably over…

机器学习 · 计算机科学 2022-11-15 Ainhize Barrainkua , Paula Gordaliza , Jose A. Lozano , Novi Quadrianto

With the wide support for object serialization in object-oriented programming languages, persistent objects have become common place and most large object-oriented software systems rely on extensive amounts of persistent data. Such systems…

软件工程 · 计算机科学 2012-06-22 Marco Piccioni , Manuel Oriol , Bertrand Meyer

The spectrum of masses from a lattice QCD simulation may be found by fitting exponential functions to correlators of operators possessing the quantum numbers of the particles of interest. The ability of evolutionary algorithms to find…

高能物理 - 格点 · 物理学 2008-11-26 Georg M. von Hippel , Randy Lewis , Robert G. Petry

Achieving visual semantic understanding requires a unified framework that simultaneously handles object detection, category prediction, and attribute recognition. However, current advanced approaches rely on global similarity and struggle…

计算机视觉与模式识别 · 计算机科学 2025-11-21 Xinyu Nan , Lingtao Mao , Huangyu Dai , Zexin Zheng , Xinyu Sun , Zihan Liang , Ben Chen , Yuqing Ding , Chenyi Lei , Wenwu Ou , Han Li

We introduce a new hierarchical deep learning framework for recursive higher-order meta-learning that enables neural networks (NNs) to construct, solve, and generalise across hierarchies of tasks. Central to this approach is a generative…

机器学习 · 计算机科学 2025-07-04 David H. Mguni

Iterative refinement -- start with a random guess, then iteratively improve the guess -- is a useful paradigm for representation learning because it offers a way to break symmetries among equally plausible explanations for the data. This…

机器学习 · 计算机科学 2023-01-03 Michael Chang , Thomas L. Griffiths , Sergey Levine

We present a new programming paradigm which can be useful, in particular, for implementing window interfaces and parallel algorithms. This paradigm allows a user to define operators which can contain nested operators. The new paradigm is…

编程语言 · 计算机科学 2010-04-26 Pavel Ruzankin

Categories of partitions are combinatorial structures arising from the representation theory of certain compact quantum groups and are linked to classical diagram algebras such as the Temperley-Lieb algebra. In this paper, we present…

数据结构与算法 · 计算机科学 2025-02-11 Nicolas Faroß , Sebastian Volz

Often multiple instances of an object occur in the same scene, for example in a warehouse. Unsupervised multi-instance object discovery algorithms are able to detect and identify such objects. We use such an algorithm to provide object…

计算机视觉与模式识别 · 计算机科学 2017-07-25 Wim Abbeloos , Sergio Caccamo , Esra Ataer-Cansizoglu , Yuichi Taguchi , Chen Feng , Teng-Yok Lee

If a robot is supposed to roam an environment and interact with objects, it is often necessary to know all possible objects in advance, so that a database with models of all objects can be generated for visual identification. However, this…

人工智能 · 计算机科学 2015-10-05 Laura Steinert , Jens Hoefinghoff , Josef Pauli

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

最优化与控制 · 数学 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson
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