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We consider the discrete-time filtering problem in scenarios where the observation noise is low or degenerate. We focus on the case where the observation equation is a linear function of the state and the data involve additive noise.…

Computation · Statistics 2026-04-01 Abylay Zhumekenov , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas

Deep metric learning algorithms have been utilized to learn discriminative and generalizable models which are effective for classifying unseen classes. In this paper, a novel noise tolerant deep metric learning algorithm is proposed. The…

Machine Learning · Computer Science 2019-04-09 Soumyadeep Ghosh , Richa Singh , Mayank Vatsa

Despite the appeal of deep neural networks that largely replace the traditional handmade filters, they still suffer from isolated cases that cannot be properly handled only by the training of convolutional filters. Abnormal factors,…

Computer Vision and Pattern Recognition · Computer Science 2017-10-19 Jonghwa Yim , Kyung-Ah Sohn

Recently, a new signal analysis method based on a semi-classical approach has been proposed [1]. The main idea in this method is to interpret a signal as a potential of a Schrodinger operator and then to use the discrete spectrum of this…

Numerical Analysis · Mathematics 2012-09-03 Da-Yan Liu , Taous-Meriem Laleg-Kirati

In control problems and basic scientific modeling, it is important to compare observations with dynamical simulations. For example, comparing two neural systems can shed light on the nature of emergent computations in the brain and deep…

Neurons and Cognition · Quantitative Biology 2025-11-04 Ann Huang , Mitchell Ostrow , Satpreet H. Singh , Leo Kozachkov , Ila Fiete , Kanaka Rajan

We introduce a novel method to combat label noise when training deep neural networks for classification. We propose a loss function that permits abstention during training thereby allowing the DNN to abstain on confusing samples while…

Machine Learning · Statistics 2019-08-05 Sunil Thulasidasan , Tanmoy Bhattacharya , Jeff Bilmes , Gopinath Chennupati , Jamal Mohd-Yusof

The integration of artificial intelligence into hearing assistance marks a paradigm shift from traditional amplification-based systems to intelligent, context-aware audio processing. This systematic literature review evaluates advances in…

Sound · Computer Science 2025-08-05 Haris Khan , Shumaila Asif , Hassan Nasir , Kamran Aziz Bhatti , Shahzad Amin Sheikh

One of the fundamental challenges affecting the performance of communication systems is the undesired impact of noise on a signal. Noise distorts the signal and originates due to several sources including, system non-linearity and noise…

Signal Processing · Electrical Eng. & Systems 2018-01-04 Adnan Quadri

Recent studies have demonstrated that gradient matching-based dataset synthesis, or dataset condensation (DC), methods can achieve state-of-the-art performance when applied to data-efficient learning tasks. However, in this study, we prove…

Computer Vision and Pattern Recognition · Computer Science 2022-06-17 Saehyung Lee , Sanghyuk Chun , Sangwon Jung , Sangdoo Yun , Sungroh Yoon

Angluin's L* algorithm learns the minimal (complete) deterministic finite automaton (DFA) of a regular language using membership and equivalence queries. Its probabilistic approximatively correct (PAC) version substitutes an equivalence…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Igor Khmelnitsky , Serge Haddad , Lina Ye , Benoît Barbot , Benedikt Bollig , Martin Leucker , Daniel Neider , Rajarshi Roy

Rapid advancements in deep learning over the past decade have fueled an insatiable demand for efficient and scalable hardware. Photonics offers a promising solution by leveraging the unique properties of light. However, conventional neural…

The use of quadratic discriminant analysis (QDA) or its regularized version (R-QDA) for classification is often not recommended, due to its well-acknowledged high sensitivity to the estimation noise of the covariance matrix. This becomes…

Machine Learning · Statistics 2020-09-15 Amine Bejaoui , Khalil Elkhalil , Abla Kammoun , Mohamed Slim Alouni , Tarek Al-Naffouri

Discriminative features play an important role in image and object classification and also in other fields of research such as semi-supervised learning, fine-grained classification, out of distribution detection. Inspired by Linear…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Mai Lan Ha , Gianni Franchi , Emanuel Aldea , Volker Blanz

Cellular Automata (CA) are a class of discrete dynamical systems that have been widely used to model complex systems in which the dynamics is specified at local cell-scale. Classically, CA are run on a regular lattice and with perfect…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Nazim A. Fates , Michel Morvan

Although today's pretrained discriminative vision-language models (e.g., CLIP) have demonstrated strong perception abilities, such as zero-shot image classification, they also suffer from the bag-of-words problem and spurious bias. To…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Yanghao Wang , Long Chen

Feature reduction is an important concept which is used for reducing dimensions to decrease the computation complexity and time of classification. Since now many approaches have been proposed for solving this problem, but almost all of them…

Artificial Intelligence · Computer Science 2012-06-08 Shervan Fekri Ershad , Sattar Hashemi

Dynamic inner principal component analysis (DiPCA) is a powerful method for the analysis of time-dependent multivariate data. DiPCA extracts dynamic latent variables that capture the most dominant temporal trends by solving a large-scale,…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Sungho Shin , Alex D. Smith , S. Joe Qin , Victor M. Zavala

Classic machine learning algorithms have been reviewed and studied mathematically on its performance and properties in detail. This paper intends to review the empirical functioning of widely used classical supervised learning algorithms…

Machine Learning · Computer Science 2023-09-06 Senthilkumar Gopal

We show techniques of analyzing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order…

Cellular Automata and Lattice Gases · Physics 2012-03-29 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz

Image-based diagnostic decision support systems (DDSS) utilizing deep learning have the potential to optimize clinical workflows. However, developing DDSS requires extensive datasets with expert annotations and is therefore costly.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Helen Schneider , Sebastian Nowak , Aditya Parikh , Yannik C. Layer , Maike Theis , Wolfgang Block , Alois M. Sprinkart , Ulrike Attenberger , Rafet Sifa