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In this paper we propose an enhanced version of the residual sub-sampling method (RSM) in [9] for adaptive interpolation by radial basis functions (RBFs). More precisely, we introduce in the context of sub-sampling methods a maximum profile…

Numerical Analysis · Mathematics 2022-03-29 R. Cavoretto A. De Rossi

This paper develops a multifidelity method that enables estimation of failure probabilities for expensive-to-evaluate models via information fusion and importance sampling. The presented general fusion method combines multiple probability…

In this work, we present, analyze, and implement a class of Multi-Level Markov chain Monte Carlo (ML-MCMC) algorithms based on independent Metropolis-Hastings proposals for Bayesian inverse problems. In this context, the likelihood function…

Numerical Analysis · Mathematics 2021-05-06 Juan Pablo Madrigal-Cianci , Fabio Nobile , Raul Tempone

This paper presents joint sampling frequency offset (SFO) estimation and compensation algorithms based on the Farrow structure. Unlike conventional approaches that treat estimation and compensation separately, the proposed framework…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Deijany Rodriguez Linares , Oksana Moryakova , Håkan Johansson

We consider the problem of identifying parameters of a particular class of Markov chains, called Bernoulli Autoregressive (BAR) processes. The structure of any BAR model is encoded by a directed graph. Incoming edges to a node in the graph…

Statistics Theory · Mathematics 2020-10-20 Xiaotian Xie , Dimitrios Katselis , Carolyn L. Beck , R. Srikant

Usual modal analysis techniques are based on the Fourier transform. Due to the Delta T . Delta f limitation, they perform poorly when the modal overlap mu exceeds 30%. A technique based on a high-resolution analysis algorithm and an…

Data Analysis, Statistics and Probability · Physics 2013-11-04 Kerem Ege , Xavier Boutillon , Bertrand David

Good robust estimators can be tuned to combine a high breakdown point and a specified asymptotic efficiency at a central model. This happens in regression with MM- and tau-estimators among others. However, the finite-sample efficiency of…

Statistics Theory · Mathematics 2013-11-21 Ricardo Maronna , Víctor Yohai

Traditional machine learning methods usually minimize a simple loss function to learn a predictive model, and then use a complex performance measure to measure the prediction performance. However, minimizing a simple loss function cannot…

Machine Learning · Computer Science 2015-11-19 Ning Zhang , Prathamesh Chandrasekar

Tensors are ubiquitous in science and engineering and tensor factorization approaches have become important tools for the characterization of higher order structure. Factorizations includes the outer-product rank Canonical Polyadic…

Machine Learning · Statistics 2023-10-05 Jesper Løve Hinrich , Morten Mørup

An unconstrained nonlinear binary optimization problem of selecting a maximum expected value subset of items is considered. Each item is associated with a profit and probability. Each of the items succeeds or fails independently with the…

Computational Complexity · Computer Science 2017-06-23 Noam Goldberg , Gabor Rudolf

Using the maximum-likelihood detector (MLD) of a soliton with timing jitter and noise, other than walk-out of the bit interval, timing jitter does not degrade the performance of MLD. When the MLD is simulated with important sampling method,…

Optics · Physics 2013-01-15 Keang-Po Ho

Bayesian inference with Markov Chain Monte Carlo (MCMC) is challenging when the likelihood function is irregular and expensive to compute. We explore several sampling algorithms that make use of subset evaluations to reduce computational…

Machine Learning · Statistics 2025-05-16 Conor Rosato , Harvinder Lehal , Simon Maskell , Lee Devlin , Malcolm Strens

In this paper, we propose a novel dual-based Lawson's method, termed {b-d-Lawson}, designed for addressing the rational minimax approximation under specific interpolation conditions. The {b-d-Lawson} approach incorporates two pivotal…

Numerical Analysis · Mathematics 2026-05-19 Lei-Hong Zhang , Ya-Nan Zhang

The optimality of the conventional maximum likelihood sequence estimation (MLSE), also known as the Viterbi Algorithm (VA), relies on the assumption that the receiver has perfect knowledge of the channel coefficients or channel state…

Information Theory · Computer Science 2013-04-24 Chia-Lung Wu , Po-Ning Cheny , Mikael Skoglund , Ming Xiao , Shin-Lin Shieh

Multiresolution Matrix Factorization (MMF) is unusual amongst fast matrix factorization algorithms in that it does not make a low rank assumption. This makes MMF especially well suited to modeling certain types of graphs with complex…

Machine Learning · Computer Science 2021-11-04 Truong Son Hy , Risi Kondor

In recent years, Signal Temporal Logic (STL) has gained traction as a practical and expressive means of encoding control objectives for robotic and cyber-physical systems. The state-of-the-art in STL trajectory synthesis is to formulate the…

Robotics · Computer Science 2019-05-09 Vince Kurtz , Hai Lin

In this paper we present an efficient algorithm for bivariate interpolation, which is based on the use of the partition of unity method for constructing a global interpolant. It is obtained by combining local radial basis function…

Numerical Analysis · Mathematics 2014-08-04 Roberto Cavoretto

In this paper, given a user's query set and budget, we aim to use the limited budget to help users assemble a set of datasets that can enrich a base dataset by introducing the maximum number of distinct tuples (i.e., maximizing…

Databases · Computer Science 2025-02-28 Tingting Wang , Shixun Huang , Zhifeng Bao , J. Shane Culpepper , Volkan Dedeoglu , Reza Arablouei

The accuracy of density-functional theory (DFT) is determined by the quality of the approximate functionals, such as exchange-correlation in electronic DFT and the excess functional in the classical DFT formalism of fluids. The exact…

This paper aims to build a probabilistic framework for Howard's policy iteration algorithm using the language of forward-backward stochastic differential equations (FBSDEs). As opposed to conventional formulations based on partial…

Optimization and Control · Mathematics 2024-10-28 Yutian Wang , Yuan-Hua Ni , Zengqiang Chen , Ji-Feng Zhang
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