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The domination problem and its variants represent a classical domain within algorithmic graph theory. Among these variants, the paired-domination problem holds particular prominence due to its real-world implications in security and…

Data Structures and Algorithms · Computer Science 2024-12-02 Ta-Yu Mu , Ching-Chi Lin

We study with numerical simulation the possible limit behaviors of synchronous discrete-time deterministic recurrent neural networks composed of N binary neurons as a function of a network's level of dilution and asymmetry. The network…

Disordered Systems and Neural Networks · Physics 2018-05-11 Viola Folli , Giorgio Gosti , Marco Leonetti , Giancarlo Ruocco

We present a cascade deep neural network to segment retinal vessels in volumetric optical coherence tomography (OCT). Two types of knowledge are infused into the network for confining the searching regions. (1) Histology. The retinal…

Image and Video Processing · Electrical Eng. & Systems 2019-10-22 Liyang Fang , Jianlong Yang , Lei Mou , Huihong Zhang , Zhenjie Chai , Zhi Chen , Jiang Liu

Primates display a marked ability to learn habits in uncertain and dynamic environments. The associated perceptions and actions of such habits engage distributed neural circuits. Yet, precisely how such circuits support the computations…

Neurons and Cognition · Quantitative Biology 2020-06-26 Karol P. Szymula , Fabio Pasqualetti , Ann M. Graybiel , Theresa M. Desrochers , Danielle S. Bassett

Continual learning of multiple tasks remains a major challenge for neural networks. Here, we investigate how task order influences continual learning and propose a strategy for optimizing it. Leveraging a linear teacher-student model with…

Machine Learning · Statistics 2025-07-22 Ziyan Li , Naoki Hiratani

Understanding the nature of the changes exhibited by evolving neuronal dynamics from high-dimensional activity data is essential for advancing neuroscience, particularly in the study of neuronal network development and the pathophysiology…

Neurons and Cognition · Quantitative Biology 2025-03-03 Ho Fai Po , Akke Mats Houben , Anna-Christina Haeb , Yordan P. Raykov , Daniel Tornero , Jordi Soriano , David Saad

The visual system is hierarchically organized to process visual information in successive stages. Neural representations vary drastically across the first stages of visual processing: at the output of the retina, ganglion cell receptive…

Neurons and Cognition · Quantitative Biology 2019-01-07 Jack Lindsey , Samuel A. Ocko , Surya Ganguli , Stephane Deny

In this paper we introduce a new classification algorithm called Optimization of Distributions Differences (ODD). The algorithm aims to find a transformation from the feature space to a new space where the instances in the same class are as…

Machine Learning · Computer Science 2017-03-06 Mohammad Reza Bonyadi , Quang M. Tieng , David C. Reutens

Since the advent of the ``Neural Ordinary Differential Equation (Neural ODE)'' paper, learning ODEs with deep learning has been applied to system identification, time-series forecasting, and related areas. Exploiting the diffeomorphic…

Machine Learning · Statistics 2025-08-27 Yuji Okamoto , Tomoya Takeuchi , Yusuke Sakemi

Occlusions caused by a robot's own body is a common problem for closed-loop control methods employed in eye-to-hand camera setups. We propose an optimization-based reactive controller that minimizes self-occlusions while achieving a desired…

We identify a new phenomenon in neural network optimization which arises from the interaction of depth and a particular heavy-tailed structure in natural data. Our result offers intuitive explanations for several previously reported…

Machine Learning · Computer Science 2023-11-08 Elan Rosenfeld , Andrej Risteski

Despite remarkable progress in computer vision, modern recognition systems remain fundamentally limited by their dependence on rich, redundant visual inputs. In contrast, humans can effortlessly understand sparse, minimal representations…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Tianqin Li , George Liu , Tai Sing Lee

The study of the visual system of the brain has attracted the attention and interest of many neuro-scientists, that derived computational models of some types of neuron that compose it. These findings inspired researchers in image…

Computer Vision and Pattern Recognition · Computer Science 2021-03-03 Nicola Strisciuglio

Hippocampal neurons track positions of self, others, and gaze direction. However, it is unclear how their respective neural codes differ enough to avoid confusion while allowing for abstraction. We recorded from populations of hippocampal…

Conventional wisdom suggests that neural network predictions tend to be unpredictable and overconfident when faced with out-of-distribution (OOD) inputs. Our work reassesses this assumption for neural networks with high-dimensional inputs.…

Machine Learning · Computer Science 2024-03-19 Katie Kang , Amrith Setlur , Claire Tomlin , Sergey Levine

A biologically plausible low-order model (LOM) of biological neural networks is a recurrent hierarchical network of dendritic nodes/trees, spiking/nonspiking neurons, unsupervised/ supervised covariance/accumulative learning mechanisms,…

Optimization and Control · Mathematics 2020-12-15 Huachuan Wang , James Ting-Ho Lo

Optimal percolation is the problem of finding the minimal set of nodes such that if the members of this set are removed from a network, the network is fragmented into non-extensive disconnected clusters. The solution of the optimal…

Physics and Society · Physics 2018-03-02 Saeed Osat , Ali Faqeeh , Filippo Radicchi

Orientation selectivity is a remarkable feature of the neurons located in the primary visual cortex. Provided that the visual neurons acquire orientation selectivity through activity-dependent Hebbian learning, the development process could…

Neurons and Cognition · Quantitative Biology 2016-01-20 Myoung Won Cho

The need to avoid confident predictions on unfamiliar data has sparked interest in out-of-distribution (OOD) detection. It is widely assumed that Bayesian neural networks (BNN) are well suited for this task, as the endowed epistemic…

Machine Learning · Computer Science 2021-07-27 Christian Henning , Francesco D'Angelo , Benjamin F. Grewe

Detecting out-of-distribution (OOD) instances is crucial for the reliable deployment of machine learning models in real-world scenarios. OOD inputs are commonly expected to cause a more uncertain prediction in the primary task; however,…

Machine Learning · Computer Science 2024-05-22 Mohammad Azizmalayeri , Ameen Abu-Hanna , Giovanni Cinà