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We address the questions of identifying pairs of interacting neurons from the observation of their spiking activity. The neuronal network is modeled by a system of interacting point processes with memory of variable length. The influence of…

Statistics Theory · Mathematics 2021-06-22 Emilio De Santis , Antonio Galves , Giovanna Nappo , Mauro Piccioni

Visual search, recommendation, and contrastive similarity learning power technologies that impact billions of users worldwide. Modern model architectures can be complex and difficult to interpret, and there are several competing techniques…

Machine Learning · Computer Science 2022-03-17 Mark Hamilton , Scott Lundberg , Lei Zhang , Stephanie Fu , William T. Freeman

This paper reconsiders common benchmarking approaches to nearest neighbor search. It is shown that the concept of local intrinsic dimensionality (LID) allows to choose query sets of a wide range of difficulty for real-world datasets.…

Information Retrieval · Computer Science 2019-07-18 Martin Aumüller , Matteo Ceccarello

The present work reports a comparative performance of artificial neurons obtained in terms of the real-valued Jaccard and coincidence similarity indices and respectively derived functionals. The interiority index and classic…

Machine Learning · Computer Science 2022-04-27 Luciano da F. Costa

Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

Neurons and Cognition · Quantitative Biology 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

Similarity search is an important problem in information retrieval. This similarity is based on a distance. Symbolic representation of time series has attracted many researchers recently, since it reduces the dimensionality of these high…

Information Retrieval · Computer Science 2010-06-18 Muhammad Marwan Muhammad Fuad , Pierre-François Marteau

Measuring similarity of neural networks to understand and improve their behavior has become an issue of great importance and research interest. In this survey, we provide a comprehensive overview of two complementary perspectives of…

Machine Learning · Computer Science 2025-05-22 Max Klabunde , Tobias Schumacher , Markus Strohmaier , Florian Lemmerich

When searching for a target within an image our brain can adopt different strategies, but which one does it choose? This question can be answered by tracking the motion of the eye while it executes the task. Following many individuals…

Neurons and Cognition · Quantitative Biology 2017-09-04 Tatiana A. Amor , Mirko Lukovic , Hans J. Herrmann , Jose S. Andrade

The characterisation of neuronal connectivity is one of the most important matters in neuroscience. In this work, we show that a recently proposed informational quantity, the causal mutual information, employed with an appropriate…

Neurons and Cognition · Quantitative Biology 2018-02-14 F. S. Borges , E. L. Lameu , K. C. Iarosz , P. R. Protachevicz , I. L. Caldas , R. L. Viana , E. E. N. Macau , A. M. Batista , M. S. Baptista

Representational similarity metrics typically force all units to be matched, making them susceptible to noise and outliers common in neural representations. We extend the soft-matching distance to a partial optimal transport setting that…

Machine Learning · Computer Science 2026-02-24 Chaitanya Kapoor , Alex H. Williams , Meenakshi Khosla

Inverse optimal control can be used to characterize behavior in sequential decision-making tasks. Most existing work, however, is limited to fully observable or linear systems, or requires the action signals to be known. Here, we introduce…

Machine Learning · Computer Science 2023-10-31 Dominik Straub , Matthias Schultheis , Heinz Koeppl , Constantin A. Rothkopf

We propose and analyse a procedure for using a standard activity-based neuron network model and firing data to compute the effective connection strengths between neurons in a network. We assume a Heaviside response function, that the…

Dynamical Systems · Mathematics 2025-02-12 Maren Bråthen Kristoffersen , Bjørn Fredrik Nielsen , Susanne Solem

In literature, several algorithms for imaging based on interpolation or approximation methods are available. The implementation of theoretical processes highlighted the necessity of providing theoretical frameworks for the convergence and…

Numerical Analysis · Mathematics 2026-04-14 Danilo Costarelli , Mariarosaria Natale , Michele Piconi

Although a plethora of architectural variants for deep classification has been introduced over time, recent works have found empirical evidence towards similarities in their training process. It has been hypothesized that neural networks…

Machine Learning · Computer Science 2022-07-20 Iuliia Pliushch , Martin Mundt , Nicolas Lupp , Visvanathan Ramesh

Image prediction methods often struggle on tasks that require changing the positions of objects, such as video prediction, producing blurry images that average over the many positions that objects might occupy. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2022-04-04 Daniel Geng , Max Hamilton , Andrew Owens

The training of deep neural network classifiers results in decision boundaries which geometry is still not well understood. This is in direct relation with classification problems such as so called adversarial examples. We introduce…

Machine Learning · Computer Science 2021-01-20 Adel Jaouen , Erwan Le Merrer

State-of-the-art neural networks are vulnerable to adversarial examples; they can easily misclassify inputs that are imperceptibly different than their training and test data. In this work, we establish that the use of cross-entropy loss…

Machine Learning · Computer Science 2019-01-25 Kamil Nar , Orhan Ocal , S. Shankar Sastry , Kannan Ramchandran

Much of the recent improvement in neural networks for computer vision has resulted from discovery of new networks architectures. Most prior work has used the performance of candidate models following limited training to automatically guide…

Computer Vision and Pattern Recognition · Computer Science 2019-09-09 Pouya Bashivan , Mark Tensen , James J DiCarlo

Representational distinctions within categories are important in all perceptual modalities and also in cognitive and motor representations. Recent pattern-information studies of brain activity have used condition-rich designs to sample the…

Neurons and Cognition · Quantitative Biology 2022-05-20 Hamed Nili , Alexander Walther , Arjen Alink , Nikolaus Kriegeskorte

We propose a novel loss function that dynamically rescales the cross entropy based on prediction difficulty regarding a sample. Deep neural network architectures in image classification tasks struggle to disambiguate visually similar…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Serim Ryou , Seong-Gyun Jeong , Pietro Perona
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