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The optimality and sensitivity of the empirical risk minimization problem with relative entropy regularization (ERM-RER) are investigated for the case in which the reference is a sigma-finite measure instead of a probability measure. This…

Machine Learning · Computer Science 2022-11-15 Samir M. Perlaza , Gaetan Bisson , Iñaki Esnaola , Alain Jean-Marie , Stefano Rini

Random geometric graphs are random graph models defined on metric measure spaces. A random geometric graph is generated by first sampling points from a metric space and then connecting each pair of sampled points independently with a…

Probability · Mathematics 2025-11-10 Han Huang , Pakawut Jiradilok , Elchanan Mossel

Brain computer interface (BCI) is the only way for some special patients to communicate with the outside world and provide a direct control channel between brain and the external devices. As a non-invasive interface, the scalp…

Quantitative Methods · Quantitative Biology 2018-08-15 Chuanqi Tan , Fuchun Sun , Wenchang Zhang , Shaobo Liu , Chunfang Liu

Characterizing precisely the asymptotic generalization error of neural networks using parameters that can be estimated efficiently is a crucial problem in machine learning, which relies heavily on heuristics and practitioners' intuition to…

Machine Learning · Computer Science 2026-05-22 David Perera , Victor Moura , Lais Isabelle Alves dos Santos , Michel F. C. Haddad , Flavio Figueiredo

There are several protocols in the Electroencephalography (EEG) recording scenarios which produce various types of event-related potentials (ERP). P300 pattern is a well-known ERP which produced by auditory and visual oddball paradigm and…

Signal Processing · Electrical Eng. & Systems 2019-12-25 S. A. Karimi , A. M. Mijani , M. T. Talebian , S. Mirzakuchaki

This paper derives error bounds for regression in continuous time over subsets of certain types of Riemannian manifolds.The regression problem is typically driven by a nonlinear evolution law taking values on the manifold, and it is cast as…

Dynamical Systems · Mathematics 2022-09-09 Nathan Powell , Jia Guo , Sai Tej Parachuri , John Burns , Boone Estes , Andrew Kurdila

We explore using neural operators, or neural network representations of nonlinear maps between function spaces, to accelerate infinite-dimensional Bayesian inverse problems (BIPs) with models governed by nonlinear parametric partial…

Numerical Analysis · Mathematics 2023-05-03 Lianghao Cao , Thomas O'Leary-Roseberry , Prashant K. Jha , J. Tinsley Oden , Omar Ghattas

With Motor-Imagery (MI) Brain--Machine Interfaces (BMIs) we may control machines by merely thinking of performing a motor action. Practical use cases require a wearable solution where the classification of the brain signals is done locally…

Signal Processing · Electrical Eng. & Systems 2021-02-23 Xiaying Wang , Tibor Schneider , Michael Hersche , Lukas Cavigelli , Luca Benini

A brain-computer interface (BCI) enables direct communication between the human brain and external devices. Electroencephalography (EEG) based BCIs are currently the most popular for able-bodied users. To increase user-friendliness, usually…

Human-Computer Interaction · Computer Science 2024-12-05 Ziwei Wang , Siyang Li , Jingwei Luo , Jiajing Liu , Dongrui Wu

Dementia in the elderly has recently become the most usual cause of cognitive decline. The proliferation of dementia cases in aging societies creates a remarkable economic as well as medical problems in many communities worldwide. A…

Neurons and Cognition · Quantitative Biology 2019-06-20 Tomasz M. Rutkowski , Marcin Koculak , Masato S. Abe , Mihoko Otake-Matsuura

Background: During an experimental session, behavioral performance fluctuates, yet most neuroimaging analyses of functional connectivity derive a single connectivity pattern. These conventional connectivity approaches assume that since the…

Neurons and Cognition · Quantitative Biology 2017-10-11 Antony D. Passaro , Jean M. Vettel , Jonathan McDaniel , Vernon Lawhern , Piotr J. Franaszczuk , Stephen M. Gordon

Huber regression (HR) is a popular robust alternative to the least squares regression when the error follows a heavy-tailed distribution. We propose a new method called the enveloped Huber regression (EHR) by considering the envelope…

Methodology · Statistics 2020-11-03 Le Zhou , R. Dennis Cook , Hui Zou

Electroencephalography (EEG) signal cleaning has long been a critical challenge in the research community. The presence of artifacts can significantly degrade EEG data quality, complicating analysis and potentially leading to erroneous…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Davoud Hajhassani , Quentin Barthélemy , Jérémie Mattout , Marco Congedo

Objective. The main goal of this work is to develop a model for multi-sensor signals such as MEG or EEG signals, that accounts for the inter-trial variability, suitable for corresponding binary classification problems. An important…

Neurons and Cognition · Quantitative Biology 2015-06-26 J Spinnato , M-C Roubaud , B Burle , B Torrésani

Developing electroencephalogram (EEG) based brain-computer interface (BCI) systems is challenging. In this study, we analyzed natural grasp actions from EEG. Ten healthy subjects participated in this experiment. They executed and imagined…

Human-Computer Interaction · Computer Science 2020-02-06 Jeong-Hyun Cho , Ji-Hoon Jeong , Dong-Joo Kim , Seong-Whan Lee

Automatic speech recognition (ASR) outcomes serve as input for downstream tasks, substantially impacting the satisfaction level of end-users. Hence, the diagnosis and enhancement of the vulnerabilities present in the ASR model bear…

Computation and Language · Computer Science 2024-01-29 Seonmin Koo , Chanjun Park , Jinsung Kim , Jaehyung Seo , Sugyeong Eo , Hyeonseok Moon , Heuiseok Lim

For many important problems the quantity of interest is an unknown function of the parameters, which is a random vector with known statistics. Since the dependence of the output on this random vector is unknown, the challenge is to identify…

Machine Learning · Statistics 2021-04-28 Themistoklis P. Sapsis

Continuous estimation of high-dimensional finger kinematics from forearm surface electromyography (EMG) could enable natural control for hand prostheses, AR/XR interfaces, and teleoperation. However, the complexity of human hand gestures…

Machine Learning · Computer Science 2026-04-27 Martin Colot , Cédric Simar , Guy Cheron , Ana Maria Cebolla Alvarez , Gianluca Bontempi

Manifold learning has been proven to be an effective method for capturing the implicitly intrinsic structure of non-Euclidean data, in which one of the primary challenges is how to maintain the distortion-free (isometry) of the data…

Machine Learning · Computer Science 2024-09-24 Zihao Chen , Wenyong Wang , Yu Xiang

This paper proposes inverse feature learning as a novel supervised feature learning technique that learns a set of high-level features for classification based on an error representation approach. The key contribution of this method is to…

Machine Learning · Computer Science 2020-03-10 Behzad Ghazanfari , Fatemeh Afghah , MohammadTaghi Hajiaghayi
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