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We study fault identification in discrete-time nonlinear systems subject to additive Gaussian white noise. We introduce a Bayesian framework that explicitly accounts for unmodeled faults under reasonable assumptions. Our approach hinges on…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Chun-Wei Kong , Jay McMahon , Morteza Lahijanian

Classification algorithms have been widely adopted to detect anomalies for various systems, e.g., IoT, cloud and face recognition, under the common assumption that the data source is clean, i.e., features and labels are correctly set.…

Machine Learning · Computer Science 2021-03-22 Zilong Zhao , Robert Birke , Rui Han , Bogdan Robu , Sara Bouchenak , Sonia Ben Mokhtar , Lydia Y. Chen

Out of distribution (OOD) detection remains a critical challenge in malware classification due to the substantial intra family variability introduced by polymorphic and metamorphic malware variants. Most existing deep learning based malware…

Cryptography and Security · Computer Science 2025-12-22 Tosin Ige , Christopher Kiekintveld , Aritran Piplai , Asif Rahman , Olukunle Kolade , Sasidhar Kunapuli

An efficient algorithm for classification of binary self-dual codes is presented. As an application, a complete classification of the self-dual codes of length 38 is given.

Combinatorics · Mathematics 2012-10-10 Stefka Bouyuklieva , Iliya Bouyukliev

The classical approach to system identification is based on stochastic assumptions about the measurement error, and provides estimates that have random nature. Worst-case identification, on the other hand, only assumes the knowledge of…

Systems and Control · Computer Science 2013-06-07 Fabrizio Dabbene , Mario Sznaier , Roberto Tempo

Machine learning based medical image analysis highly depends on datasets. Biases in the dataset can be learned by the model and degrade the generalizability of the applications. There are studies on debiased models. However, scientists and…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Shijie Zhang , Lanjun Wang , Lian Ding , An-an Liu , Senhua Zhu , Dandan Tu

This paper addresses the optimal control problem known as the Linear Quadratic Regulator in the case when the dynamics are unknown. We propose a multi-stage procedure, called Coarse-ID control, that estimates a model from a few experimental…

Optimization and Control · Mathematics 2018-12-17 Sarah Dean , Horia Mania , Nikolai Matni , Benjamin Recht , Stephen Tu

Attention-based encoder-decoder (AED) models learn an implicit internal language model (ILM) from the training transcriptions. The integration with an external LM trained on much more unpaired text usually leads to better performance. A…

Computation and Language · Computer Science 2021-06-18 Mohammad Zeineldeen , Aleksandr Glushko , Wilfried Michel , Albert Zeyer , Ralf Schlüter , Hermann Ney

Double-descent refers to the unexpected drop in test loss of a learning algorithm beyond an interpolating threshold with over-parameterization, which is not predicted by information criteria in their classical forms due to the limitations…

Machine Learning · Computer Science 2023-11-15 Haobo Chen , Yuheng Bu , Gregory W. Wornell

In this paper, we investigate the problem of recovering hidden communities in the Labeled Stochastic Block Model (LSBM) with a finite number of clusters whose sizes grow linearly with the total number of nodes. We derive the necessary and…

Social and Information Networks · Computer Science 2025-09-01 Kaito Ariu , Alexandre Proutiere , Se-Young Yun

This paper introduces a novel model-free and a partially model-free algorithm for inverse optimal control (IOC), also known as inverse reinforcement learning (IRL), aimed at estimating the cost function of continuous-time nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Hamed Jabbari Asl , Eiji Uchibe

Receiver operating characteristic (ROC) curve is an informative tool in binary classification and Area Under ROC Curve (AUC) is a popular metric for reporting performance of binary classifiers. In this paper, first we present a…

Machine Learning · Computer Science 2021-09-14 Khashayar Namdar , Masoom A. Haider , Farzad Khalvati

We present a framework and analysis of consistent binary classification for complex and non-decomposable performance metrics such as the F-measure and the Jaccard measure. The proposed framework is general, as it applies to both batch and…

Machine Learning · Statistics 2018-02-13 Bowei Yan , Oluwasanmi Koyejo , Kai Zhong , Pradeep Ravikumar

While the expected calibration error (ECE), which employs binning, is widely adopted to evaluate the calibration performance of machine learning models, theoretical understanding of its estimation bias is limited. In this paper, we present…

Machine Learning · Computer Science 2025-05-27 Futoshi Futami , Masahiro Fujisawa

There have been extensive studies on solving differential equations using physics-informed neural networks. While this method has proven advantageous in many cases, a major criticism lies in its lack of analytical error bounds. Therefore,…

Neural and Evolutionary Computing · Computer Science 2022-07-05 Shuheng Liu , Xiyue Huang , Pavlos Protopapas

For high-dimensional classification, it is well known that naively performing the Fisher discriminant rule leads to poor results due to diverging spectra and noise accumulation. Therefore, researchers proposed independence rules to…

Machine Learning · Statistics 2011-11-10 Jianqing Fan , Yang Feng , Xin Tong

The likelihood-informed subspace (LIS) method offers a viable route to reducing the dimensionality of high-dimensional probability distributions arising in Bayesian inference. LIS identifies an intrinsic low-dimensional linear subspace…

Computation · Statistics 2021-10-22 Tiangang Cui , Xin T. Tong

Recent work has demonstrated that imaging systems can be evaluated through the information content of their measurements alone, enabling application-agnostic optical design that avoids computational decoding challenges. Information-Driven…

Image and Video Processing · Electrical Eng. & Systems 2025-07-14 Eric Markley , Henry Pinkard , Leyla Kabuli , Nalini Singh , Laura Waller

Edge intelligence (EI) allows resource-constrained edge devices (EDs) to offload computation-intensive AI tasks (e.g., visual object detection) to edge servers (ESs) for fast execution. However, transmitting high-volume raw task data (e.g.,…

Information Theory · Computer Science 2026-02-24 Xian Li , Suzhi Bi , Ying-Jun Angela Zhang

An efficient algorithm for the determination of Bayesian optimal discriminating designs for competing regression models is developed, where the main focus is on models with general distributional assumptions beyond the "classical" case of…

Computation · Statistics 2015-08-04 Holger Dette , Roman Guchenko , Viatcheslav B. Melas