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Pairwise Euclidean distance calculation is a fundamental step in many machine learning and data analysis algorithms. In real-world applications, however, these distances are frequently distorted by heteroskedastic noise$\unicode{x2014}$a…

机器学习 · 统计学 2025-09-12 Keyi Li , Yuval Kluger , Boris Landa

In the light of regularized dynamic time warping kernels, this paper re-considers the concept of time elastic centroid for a setof time series. We derive a new algorithm based on a probabilistic interpretation of kernel alignment matrices.…

机器学习 · 计算机科学 2019-07-12 Pierre-François Marteau

Gradient-based methods have been highly successful for solving a variety of both unconstrained and constrained nonlinear optimization problems. In real-world applications, such as optimal control or machine learning, the necessary function…

最优化与控制 · 数学 2023-02-15 Christoph Hansknecht , Christian Kirches , Paul Manns

From a machine learning perspective, the human ability localize sounds can be modeled as a non-parametric and non-linear regression problem between binaural spectral features of sound received at the ears (input) and their sound-source…

声音 · 计算机科学 2015-02-12 Yuancheng Luo , Dmitry N. Zotkin , Ramani Duraiswami

High-dimensional linear regression under heavy-tailed noise or outlier corruption is challenging, both computationally and statistically. Convex approaches have been proven statistically optimal but suffer from high computational costs,…

统计理论 · 数学 2023-05-11 Yinan Shen , Jingyang Li , Jian-Feng Cai , Dong Xia

This paper focuses on minimizing a smooth function combined with a nonsmooth regularization term on a compact Riemannian submanifold embedded in the Euclidean space under a decentralized setting. Typically, there are two types of approaches…

最优化与控制 · 数学 2025-07-16 Lei Wang , Le Bao , Xin Liu

In many data science applications, the objective is to extract appropriately-ordered smooth low-dimensional data patterns from high-dimensional data sets. This is challenging since common sorting algorithms are primarily aiming at finding…

机器学习 · 计算机科学 2024-10-30 Illia Horenko , Lukas Pospisil

We propose an approximation algorithm for efficient correlation search in time series data. In our method, we use Fourier transform and neural network to embed time series into a low-dimensional Euclidean space. The given space is learned…

机器学习 · 计算机科学 2018-05-16 Han Qiu , Hoang Thanh Lam , Francesco Fusco , Mathieu Sinn

Moving Horizon Estimation~(MHE) is essentially an optimization-based approach designed to estimate the states of dynamic systems within a moving time horizon. Traditional MHE solutions become computationally prohibitive due to the…

系统与控制 · 电气工程与系统科学 2025-08-22 Shuting Wu , Yifei Wang , Jingzhe Wang , Apostolos I. Rikos , Xu Du

The brain is often studied from a network perspective, where functional activity is assessed using functional Magnetic Resonance Imaging (fMRI) to estimate connectivity between predefined neuronal regions. Functional connectivity can be…

应用统计 · 统计学 2025-07-22 Olivier Bisson , Yanis Aeschlimann , Samuel Deslauriers-Gauthier , Xavier Pennec

In this paper, we develop a method for solving the problem of minimizing the $H^2$ error norm between the transfer functions of original and reduced systems on the set of stable matrices and two Euclidean spaces. That is, we develop a…

最优化与控制 · 数学 2018-08-03 Kazuhiro Sato

The multipath radio channel is considered to have a non-bandlimited channel impulse response. Therefore, it is challenging to achieve high resolution time-delay (TD) estimation of multipath components (MPCs) from bandlimited observations of…

信号处理 · 电气工程与系统科学 2019-12-11 Tarik Kazaz , Gerard J. M. Janssen , Alle-Jan van der Veen

Cross-entropy loss has long been the standard choice for training deep neural networks, yet it suffers from interpretability limitations, unbounded weight growth, and inefficiencies that can contribute to costly training dynamics. The…

Headphone listening in applications such as augmented and virtual reality (AR and VR) relies on high-quality spatial audio to ensure immersion, making accurate binaural reproduction a critical component. As capture devices, wearable arrays…

音频与语音处理 · 电气工程与系统科学 2025-06-26 Or Berebi , Zamir Ben-Hur , David Lou Alon , Boaz Rafaely

In this paper, we study a spiked Wigner problem with an inhomogeneous noise profile. Our aim in this problem is to recover the signal passed through an inhomogeneous low-rank matrix channel. While the information-theoretic performances are…

机器学习 · 统计学 2023-02-15 Aleksandr Pak , Justin Ko , Florent Krzakala

In this paper, based on real-time nonlinear receding horizon control methodology, a novel approach is developed for parameter estimation of time invariant and time varying nonlinear dynamical systems in chaotic environments. Here, the…

最优化与控制 · 数学 2016-11-21 Fei Sun , Kamran Turkoglu

Functional Magnetic Resonance Imaging (fMRI) relies on multi-step data processing pipelines to accurately determine brain activity; among them, the crucial step of spatial smoothing. These pipelines are commonly suboptimal, given the local…

计算机视觉与模式识别 · 计算机科学 2017-10-03 Albert Vilamala , Kristoffer Hougaard Madsen , Lars Kai Hansen

This paper proposes a framework for scheduling the observation and download tasks of multiple agile satellites with practical considerations such as attitude transition time, onboard data capacity, and stereoscopic image acquisition. A…

系统与控制 · 电气工程与系统科学 2019-12-03 Junhong Kim , Doo-Hyun Cho , Jaemyung Ahn , Han-Lim Choi

Computed ultrasound tomography in echo mode generates maps of tissue speed of sound (SoS) from the shift of echoes when detected under varying steering angles. It solves a linearized inverse problem that requires regularization to…

医学物理 · 物理学 2026-04-23 Parisa Salemi Yolgunlu , Jules Blom , Naiara Korta Martiartu , Michael Jaeger

Rotation group $\mathcal{SO}(d)$ synchronization is an important inverse problem and has attracted intense attention from numerous application fields such as graph realization, computer vision, and robotics. In this paper, we focus on the…

最优化与控制 · 数学 2023-06-23 Linglingzhi Zhu , Chong Li , Anthony Man-Cho So