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Superposition -- when a neural network represents more ``features'' than it has dimensions -- seems to pose a serious challenge to mechanistically interpreting current AI systems. Existing theory work studies \emph{representational}…

Machine Learning · Computer Science 2024-08-13 Kaarel Hänni , Jake Mendel , Dmitry Vaintrob , Lawrence Chan

Nonlinear interactions in the dendritic tree play a key role in neural computation. Nevertheless, modeling frameworks aimed at the construction of large-scale, functional spiking neural networks, such as the Neural Engineering Framework,…

Neurons and Cognition · Quantitative Biology 2021-01-01 Andreas Stöckel , Chris Eliasmith

Starting from the quasiclassical equations for non-equilibrium Green's functions we derive a simple kinetic equation that governs ac Josephson effect in a superconducting quantum point contact at small bias voltages. In contrast to existing…

Condensed Matter · Physics 2009-10-28 D. Averin , A. Bardas

We present the APLIP process (Adiabatic Passage by Light Induced Potentials) for the adiabatic transfer of a wave packet from one molecular potential to the displaced ground vibrational state of another. The process uses an intermediate…

Chemical Physics · Physics 2009-10-30 B. M. Garraway , K. -A. Suominen

Traditional neural networks employ fixed weights during inference, limiting their ability to adapt to changing input conditions, unlike biological neurons that adjust signal strength dynamically based on stimuli. This discrepancy between…

Neural and Evolutionary Computing · Computer Science 2025-09-23 Ashhadul Islam , Abdesselam Bouzerdoum , Samir Brahim Belhaouari

Neurons, as eukaryotic cells, have powerful internal computation capabilities. One neuron can have many distinct states, and brains can use this capability. Processes of neuron growth and maintenance use chemical signalling between cell…

Neurons and Cognition · Quantitative Biology 2025-12-10 Robert Worden

The construction of a multilayer perceptron (MLP) as a piecewise low-order polynomial approximator using a signal processing approach is presented in this work. The constructed MLP contains one input, one intermediate and one output layers.…

Machine Learning · Computer Science 2020-10-16 Ruiyuan Lin , Suya You , Raghuveer Rao , C. -C. Jay Kuo

We analyze theoretically adiabatic quantum pumping through a normal conductor that couples the normal regions of two superconductor/normal metal/superconductor Josephson junctions. By using the phases of the superconducting order parameter…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Russo , J. Tobiska , T. M. Klapwijk , A. F. Morpurgo

This paper presents a new artificial neuron model capable of learning its receptive field in the topological domain of inputs. The model provides adaptive and differentiable local connectivity (plasticity) applicable to any domain. It…

Neural and Evolutionary Computing · Computer Science 2020-09-08 F. Boray Tek

In his original work Josephson predicted that a phase-dependent conductance should be present in superconducting tunnel junctions, an effect difficult to detect, mainly because it is hard to single it out from the usual non-dissipative…

Superconductivity · Physics 2014-09-29 Sebastiano Peotta , Massimiliano Di Ventra

The flux line lattice of superconductors has been investigated when there exists a periodicity in the underlying system, such as can occur in artificially layered structures. For small fields parallel to the layers the flux lines enter the…

Condensed Matter · Physics 2009-10-30 A. M. Thompson , M. A. Moore

A method is presented for the reduction of morphologically detailed microcircuit models to a point-neuron representation without human intervention. The simplification occurs in a modular workflow, in the neighborhood of a user specified…

Several misprints and small mistakes were in the initial version. They have been corrected. Following the recent experimental realization of synthetic gauge magnetic forces, Jean Dalibard adressed the question whether the adiabatic ansatz…

Analysis of PDEs · Mathematics 2012-01-24 Amandine Aftalion , Francis Nier

Standard Spiking Neural Network (SNN) models typically neglect metabolic constraints, treating neurons as energetically unconstrained components. We bridge this gap by implementing a conductance-based leaky integrate-and-fire (gLIF)…

Neurons and Cognition · Quantitative Biology 2025-12-29 Ece Öner , Cenk Denktaş

By measuring the Josephson emission of a diffusive Superconductor-Normal metal-Superconductor (SNS) junction at a finite temperature we reveal a non-trivial sensitivity of the supercurrent to microwave irradiation. We demonstrate that the…

Therapeutic intervention in neurological disorders still relies heavily on pharmacological solutions, while the treatment of patients with drug resistance remains an open challenge. This is particularly true for patients with epilepsy, 30%…

Human-Computer Interaction · Computer Science 2022-10-20 Margherita Ronchini , Yasser Rezaeiyan , Milad Zamani , Gabriella Panuccio , Farshad Moradi

Connectomics is an emerging field in neuroscience that aims to reconstruct the 3-dimensional morphology of neurons from electron microscopy (EM) images. Recent studies have successfully demonstrated the use of convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2017-02-27 Shibani Santurkar , David Budden , Alexander Matveev , Heather Berlin , Hayk Saribekyan , Yaron Meirovitch , Nir Shavit

The interplay between excitatory and inhibitory neurons imparts rich functions of the brain. To understand the underlying synaptic mechanisms, a fundamental approach is to study the dynamics of excitatory and inhibitory conductances of each…

Neurons and Cognition · Quantitative Biology 2017-10-17 Songting Li , Nan Liu , Xiaohui Zhang , Douglas Zhou , David Cai

Darwinian evolution tends to produce energy-efficient outcomes. On the other hand, energy limits computation, be it neural and probabilistic or digital and logical. Taking a particular energy-efficient viewpoint, we define neural…

Neurons and Cognition · Quantitative Biology 2021-04-05 William B Levy , Victoria G. Calvert

Thanks to their ease of implementation, multilayer perceptrons (MLPs) have become ubiquitous in deep learning applications. The graph underlying an MLP is indeed multipartite, i.e. each layer of neurons only connects to neurons belonging to…

Neural and Evolutionary Computing · Computer Science 2023-10-24 Tommaso Boccato , Matteo Ferrante , Andrea Duggento , Nicola Toschi