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Using an asymmetric associative network with synchronous updating, it is possible to recall a sequence of patterns. To obtain a stable sequence generation with a large storage capacity, we introduce a threshold that eliminates the…

comp-gas · Physics 2008-02-03 F. Zertuche , R. López-Peña , H. Waelbroeck

At the single-neuron level, precisely timed spikes can either constitute firing-rate codes or spike-pattern codes that utilize the relative timing between consecutive spikes. There has been little experimental support for the hypothesis…

Neurons and Cognition · Quantitative Biology 2009-12-18 Hugo Gabriel Eyherabide , Ariel Rokem , Andreas V. M. Herz , Ines Samengo

Transformers have achieved great success in effectively processing sequential data such as text. Their architecture consisting of several attention and feedforward blocks can model relations between elements of a sequence in parallel…

Machine Learning · Computer Science 2025-02-20 Jaemu Heo , Eldor Fozilov , Hyunmin Song , Taehwan Kim

Traditional percolation theory assumes static microscopic rules, limiting its ability to describe real-world complex systems where macroscopic order actively regulates local interactions. Here, we introduce feedback percolation, an unified…

Statistical Mechanics · Physics 2026-03-31 Hoseung Jang , Ginestra Bianconi , Byungjoon Min

We present two designs for an analog circuit that can learn to detect a temporal sequence of two inputs. The training phase is done by feeding the circuit with the desired sequence and, after the training is completed, each time the trained…

Neural and Evolutionary Computing · Computer Science 2023-01-03 Jan Hohenheim , Zhaoyu Devon Liu , Tommaso Stecconi , Pietro Palopoli

Recurrent connectivity in the visual cortex is believed to aid object recognition for challenging conditions such as occlusion. Here we investigate if and how artificial neural networks also benefit from recurrence. We compare architectures…

Computer Vision and Pattern Recognition · Computer Science 2021-04-22 Markus Roland Ernst , Jochen Triesch , Thomas Burwick

Posterior matching uses variable-length encoding of the message controlled by noiseless feedback of the received symbols to achieve high rates for short average blocklengths. Traditionally, the feedback of a received symbol occurs before…

Information Theory · Computer Science 2024-04-16 Amaael Antonini , Rita Gimelshein , Richard D. Wesel

This paper considers a process for the creation and subsequent firing of sequences of neuronal patterns, as might be found in the human brain. The scale is one of larger patterns emerging from an ensemble mass, possibly through some type of…

Neural and Evolutionary Computing · Computer Science 2020-04-07 Kieran Greer

We describe an algorithm that takes as input a complex sequence $(u_n)$ given by a linear recurrence relation with polynomial coefficients along with initial values, and outputs a simple explicit upper bound $(v_n)$ such that $|u_n| \leq…

Symbolic Computation · Computer Science 2013-06-19 Marc Mezzarobba , Bruno Salvy

Bounds on the entropy of patterns of sequences generated by independently identically distributed (i.i.d.) sources are derived. A pattern is a sequence of indices that contains all consecutive integer indices in increasing order of first…

Information Theory · Computer Science 2007-07-13 Gil I. Shamir

Tight bounds on the block entropy of patterns of sequences generated by independent and identically distributed (i.i.d.) sources are derived. A pattern of a sequence is a sequence of integer indices with each index representing the order of…

Information Theory · Computer Science 2007-11-14 Gil I. Shamir

This paper describes a design that can be used for Explainable AI. The lower level is a nested ensemble of patterns created by self-organisation. The upper level is a hierarchical tree, where nodes are linked through individual concepts, so…

Artificial Intelligence · Computer Science 2020-11-30 Kieran Greer

A sensor network is considered where at each sensor a sequence of random variables is observed. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

Statistics Theory · Mathematics 2023-07-19 Taposh Banerjee , Venugopal V. Veeravalli

Interspike intervals describe the output of neurons. Signal transmission in a neuronal network implies that the output of some neurons becomes the input of others. The output should reproduce the main features of the input to avoid a…

Probability · Mathematics 2022-09-29 Petr Lansky , Federico Polito , Laura Sacerdote

The current study uses a novel method of multilevel neurons and high order synchronization effects described by a family of special metrics, for pattern recognition in an oscillatory neural network (ONN). The output oscillator (neuron) of…

Emerging Technologies · Computer Science 2019-08-26 Andrei Velichko , Maksim Belyaev , Petr Boriskov

Animals rely on different decision strategies when faced with ambiguous or uncertain cues. Depending on the context, decisions may be biased towards events that were most frequently experienced in the past, or be more explorative. A…

Neurons and Cognition · Quantitative Biology 2023-05-10 Younes Bouhadjar , Dirk J. Wouters , Markus Diesmann , Tom Tetzlaff

Sensory stimuli are usually composed of different features (the what) appearing at irregular times (the when). Neural responses often use spike patterns to represent sensory information. The what is hypothesized to be encoded in the…

Neurons and Cognition · Quantitative Biology 2010-12-13 Hugo Gabriel Eyherabide , Inés Samengo

The problem of sequential anomaly detection and identification is considered, where multiple data sources are simultaneously monitored and the goal is to identify in real time those, if any, that exhibit ``anomalous" statistical behavior.…

Statistics Theory · Mathematics 2024-12-09 Aristomenis Tsopelakos , Georgios Fellouris

Recurrent neural networks for session-based recommendation have attracted a lot of attention recently because of their promising performance. repeat consumption is a common phenomenon in many recommendation scenarios (e.g., e-commerce,…

Information Retrieval · Computer Science 2018-12-07 Pengjie Ren , Zhumin Chen , Jing Li , Zhaochun Ren , Jun Ma , Maarten de Rijke

We describe the construction and theoretical analysis of a framework derived from canonical neurophysiological principles that model the competing dynamics of incident signals into nodes along directed edges in a network. The framework…

Neurons and Cognition · Quantitative Biology 2019-08-06 Gabriel A. Silva
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