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We consider density estimators based on the nearest neighbors method applied to discrete point distibutions in spaces of arbitrary dimensionality. If the density is constant, the volume of a hypersphere centered at a random location is…

Instrumentation and Methods for Astrophysics · Physics 2013-01-24 Przemek Wozniak , Andrzej Kruszewski

Machine Learning for graphs is nowadays a research topic of consolidated relevance. Common approaches in the field typically resort to complex deep neural network architectures and demanding training algorithms, highlighting the need for…

Machine Learning · Computer Science 2020-05-12 Claudio Gallicchio , Alessio Micheli

Image interpolation is a special case of image super-resolution, where the low-resolution image is directly down-sampled from its high-resolution counterpart without blurring and noise. Therefore, assumptions adopted in super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Junchao Zhang

The operating point of a power system may change due to slow enough variations of the power injections. Rotating machines in the bulk system can absorb smooth changes in the dynamic states of the system. In this context, we present a novel…

Optimization and Control · Mathematics 2024-01-22 Gabriel Intriago , Holger Cevallos , Yu Zhang

The structure representation of data distribution plays an important role in understanding the underlying mechanism of generating data. In this paper, we propose nearest prime simplicial complex approaches (NSC) by utilizing persistent…

Machine Learning · Computer Science 2015-03-19 Junping Zhang , Ziyu Xie , Stan Z. Li

A number of key scientific computing applications that are based upon tensor-product grid constructions, such as numerical weather prediction (NWP) and combustion simulations, require property-preserving interpolation. Essentially…

Numerical Analysis · Mathematics 2022-10-18 Timbwaoga A. J. Ouermi , Robert M. Kirby , Martin Berzins

Simulation-based inference techniques are indispensable for parameter estimation of mechanistic and simulable models with intractable likelihoods. While traditional statistical approaches like approximate Bayesian computation and Bayesian…

Methodology · Statistics 2024-03-08 Ryan P. Kelly , David J. Nott , David T. Frazier , David J. Warne , Chris Drovandi

Nearest-neighbor search, which returns the nearest neighbor of a query point in a set of points, is an important and widely studied problem in many fields, and it has wide range of applications. In many of them, such as sensor databases,…

Computational Geometry · Computer Science 2016-06-02 Pankaj K. Agarwal , Boris Aronov , Sariel Har-Peled , Jeff M. Philips , Ke Yi , Wuzhou Zhang

A reservoir computer is a complex nonlinear dynamical system that has been shown to be useful for solving certain problems, such as prediction of chaotic signals, speech recognition or control of robotic systems. Typically a reservoir…

Emerging Technologies · Computer Science 2019-08-30 Thomas L. Carroll , Louis M. Pecora

This field case study aims to address the challenge of accurately predicting petrophysical properties in heterogeneous reservoir formations, which can significantly impact reservoir performance predictions. The study employed three machine…

Geophysics · Physics 2023-05-15 Fethi Ali Cheddad

This paper introduces a novel approach to predicting periodic time series using reservoir computing. The model is tailored to deliver precise forecasts of rhythms, a crucial aspect for tasks such as generating musical rhythm. Leveraging…

Neural and Evolutionary Computing · Computer Science 2025-01-23 Zhongju Yuan , Geraint Wiggins , Dick Botteldooren

Reconstructing continuous environmental fields from sparse and irregular observations remains a central challenge in environmental modelling and biodiversity informatics. Many ecological datasets are heterogeneous in space and time, making…

Machine Learning · Computer Science 2026-04-21 Agnieszka Pregowska , Hazem M. Kalaji

As climate change intensifies, the shift to cleaner energy sources becomes increasingly urgent. With wind energy production set to accelerate, reliable wind probabilistic forecasts are essential to ensure its efficient use. However, since…

Machine Learning · Computer Science 2024-10-08 Jean-Sébastien Giroux , Simon-Philippe Breton , Julie Carreau

In precision agriculture (PA), soil sampling and testing operation is prior to planting any new crop. It is an expensive operation since there are many soil characteristics to take into account. This paper gives an overview of soil…

Machine Learning · Computer Science 2019-12-05 Quoc Hung Ngo , Nhien-An Le-Khac , Tahar Kechadi

Bayesian neural network posterior distributions have a great number of modes that correspond to the same network function. The abundance of such modes can make it difficult for approximate inference methods to do their job. Recent work has…

Machine Learning · Statistics 2024-07-03 Tommy Rochussen

Estimating spatially distributed information through the interpolation of scattered observation datasets often overlooks the critical role of domain knowledge in understanding spatial dependencies. Additionally, the features of these data…

Machine Learning · Computer Science 2024-09-09 Cong Zhang , Shuyi Du , Hongqing Song , Yuhe Wang

We propose to approximate the conditional expectation of a spatial random variable given its nearest-neighbour observations by an additive function. The setting is meaningful in practice and requires no unilateral ordering. It is capable of…

Statistics Theory · Mathematics 2016-03-28 Zudi Lu , Arvid Lundervold , Dag Tjøstheim , Qiwei Yao

Reservoir Computing is a relatively new framework created to allow the usage of powerful but complex systems as computational mediums. The basic approach consists in training only a readout layer, exploiting the innate separation and…

Robotics · Computer Science 2022-06-23 Paolo Baldini

In this paper, we present a new deep learning architecture for addressing the problem of supervised learning with sparse and irregularly sampled multivariate time series. The architecture is based on the use of a semi-parametric…

Machine Learning · Computer Science 2019-09-18 Satya Narayan Shukla , Benjamin M. Marlin

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step scheme. First, one trains the often neural network-based…

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