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Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

Machine Learning · Computer Science 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

Neural Networks sequentially build high-level features through their successive layers. We propose here a new neural network model where each layer is associated with a set of candidate mappings. When an input is processed, at each layer,…

Machine Learning · Computer Science 2014-10-03 Ludovic Denoyer , Patrick Gallinari

We explore a new class of end-to-end learnable models wherein data processing nodes (or network layers) are defined in terms of desired behavior rather than an explicit forward function. Specifically, the forward function is implicitly…

Machine Learning · Computer Science 2021-08-20 Stephen Gould , Richard Hartley , Dylan Campbell

With the growing Deaf and Hard of Hearing population worldwide and the persistent shortage of certified sign language interpreters, there is a pressing need for an efficient, signs-driven, integrated end-to-end translation system, from sign…

Artificial Intelligence · Computer Science 2025-02-17 Nada Shahin , Leila Ismail

Boundary samples are special inputs to artificial neural networks crafted to identify the execution environment used for inference by the resulting output label. The paper presents and evaluates algorithms to generate transparent boundary…

Machine Learning · Computer Science 2021-06-15 Alexander Schlögl , Tobias Kupek , Rainer Böhme

Distribution regression refers to the supervised learning problem where labels are only available for groups of inputs instead of individual inputs. In this paper, we develop a rigorous mathematical framework for distribution regression…

Machine Learning · Computer Science 2021-09-30 Maud Lemercier , Cristopher Salvi , Theodoros Damoulas , Edwin V. Bonilla , Terry Lyons

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

Machine Learning · Computer Science 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis

Deep learning (DL) is a high dimensional data reduction technique for constructing high-dimensional predictors in input-output models. DL is a form of machine learning that uses hierarchical layers of latent features. In this article, we…

Machine Learning · Statistics 2018-08-06 Nicholas G. Polson , Vadim O. Sokolov

Network representation learning (NRL) is an effective graph analytics technique and promotes users to deeply understand the hidden characteristics of graph data. It has been successfully applied in many real-world tasks related to network…

Social and Information Networks · Computer Science 2021-03-09 Ke Sun , Lei Wang , Bo Xu , Wenhong Zhao , Shyh Wei Teng , Feng Xia

The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of all signature tensors at a particular level gives rise to the universal signature…

Representation Theory · Mathematics 2024-12-10 Carlos Améndola , Francesco Galuppi , Ángel David Ríos Ortiz , Pierpaola Santarsiero , Tim Seynnaeve

Data augmentation in feature space is effective to increase data diversity. Previous methods assume that different classes have the same covariance in their feature distributions. Thus, feature transform between different classes is…

Computer Vision and Pattern Recognition · Computer Science 2020-08-05 Yuke Zhu , Yan Bai , Yichen Wei

Errors in data are usually unwelcome and so some means to correct them is useful. However, it is difficult to define, detect or correct errors in an unsupervised way. Here, we train a deep neural network to re-synthesize its inputs at its…

Machine Learning · Computer Science 2015-02-17 Andrew J. R. Simpson

Registration is the process that computes the transformation that aligns sets of data. Commonly, a registration process can be divided into four main steps: target selection, feature extraction, feature matching, and transform computation…

Computer Vision and Pattern Recognition · Computer Science 2020-10-29 Victor Villena-Martinez , Sergiu Oprea , Marcelo Saval-Calvo , Jorge Azorin-Lopez , Andres Fuster-Guillo , Robert B. Fisher

Handwriting signatures, as an important means of identity recognition, are widely used in multiple fields such as financial transactions, commercial contracts and personal affairs due to their legal effect and uniqueness. In forensic…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Wanghui Xiao

We investigate the use of path signatures in a machine learning context for hedging exotic derivatives under non-Markovian stochastic volatility models. In a deep learning setting, we use signatures as features in feedforward neural…

Machine Learning · Statistics 2025-08-12 Eduardo Abi Jaber , Louis-Amand Gérard

A common goal in modern biostatistics is to form a biomarker signature from high dimensional gene expression data that is predictive of some outcome of interest. After learning this biomarker signature, an important question to answer is…

Statistics Theory · Mathematics 2015-10-05 Samuel M. Gross , Jonathan Taylor , Robert Tibshirani

Tabular data is considered the last unconquered castle of deep learning, yet the task of data stream classification is stated to be an equally important and demanding research area. Due to the temporal constraints, it is assumed that deep…

Computation and Language · Computer Science 2025-11-11 Paweł Zyblewski , Jakub Klikowski , Weronika Borek-Marciniec , Paweł Ksieniewicz

Topological deep learning is a formalism that is aimed at introducing topological language to deep learning for the purpose of utilizing the minimal mathematical structures to formalize problems that arise in a generic deep learning…

Machine Learning · Computer Science 2021-02-17 Mustafa Hajij , Kyle Istvan

Engineering a top-notch deep learning model is an expensive procedure that involves collecting data, hiring human resources with expertise in machine learning, and providing high computational resources. For that reason, deep learning…

Machine Learning · Computer Science 2021-03-08 Omid Aramoon , Pin-Yu Chen , Gang Qu

This article provides a concise overview of some of the recent advances in the application of rough path theory to machine learning. Controlled differential equations (CDEs) are discussed as the key mathematical model to describe the…

Machine Learning · Computer Science 2023-02-10 Adeline Fermanian , Terry Lyons , James Morrill , Cristopher Salvi