17 papers · ranked by Valyu relevance
Michelle C Miller, Christoph Miehl, Brent Doiron
Strongly interconnected neuronal populations, called assemblies, dynamically form through synaptic plasticity mechanisms and are thought to be a substrate for memories in the brain. Many assembly formation models use Hebbian excitatory-to-excitatory plasticity, where coordinated activity strengthens recurrent…
Amit Vinograd, Aditya Nair, Joseph H. Kim, Scott W. Linderman + 1 more
'David J. Anderson'] Continuous attractors are an emergent property of neural population dynamics that have been hypothesized to encode continuous variables such as head direction and eye position1-4. In mammals, direct evidence of neural implementation of a continuous attractor has been hindered by the challenge of…
Amit Vinograd, Aditya Nair, Scott W. Linderman, David J. Anderson
Line attractors are emergent population dynamics hypothesized to encode continuous variables such as head direction and internal states. In mammals, direct evidence of neural implementation of a line attractor has been hindered by the challenge of targeting perturbations to specific neurons within contributing…
Mengyu Liu, Aditya Nair, Nestor Coria, Scott W. Linderman + 1 more
'David J. Anderson'] Females exhibit complex, dynamic behaviours during mating with variable sexual receptivity depending on hormonal status1-4. However, how their brains encode the dynamics of mating and receptivity remains largely unknown. The ventromedial hypothalamus, ventrolateral subdivision contains oestrogen…
Jonathan D. Drover, Lyle J. Graham
How the brain stores information about a sensory stimulus in working memory is not completely known. Clues about the mechanisms responsible for working memory can be gleaned by recording from neurons during the performance of a delayed response task. I focus on the data recorded during such an experiment, a classic…
Kulveer Singh, Yitzhak Rabin
We introduce a simple dynamical rule in which each particle locates a particle that is farthest from it and moves towards it. Repeated application of this algorithm results in the formation of unusual dynamical patterns: during the process of assembly the system self-organizes into slices of low particle density…
Kulveer Singh, Yitzhak Rabin
We introduce a simple dynamical rule in which each particle locates a particle that is farthest from it and moves towards it. Repeated application of this algorithm results in the formation of unusual dynamical patterns: during the process of assembly the system self-organizes into slices of low particle density…
Laura Gardini, Davide Radi, Noemi Schmitt, Iryna Sushko + 1 more
'Frank Westerhoff'] In this work, we consider a class of n-dimensional, n ≥ 2, piecewise linear discontinuous maps that can exhibit a new type of attractor, called a weird quasiperiodic attractor. While the dynamics associated with these attractors may appear chaotic, we prove that chaotic attractors cannot occur. The…
Garima Khetawat, Moumita Manna, Tarakanta Nayak
By an independent set in a simple graph G, we mean a set of pairwise nonadjacent vertices in G. The independence polynomial of G is defined as IG(z) = a0 +a1z +a2z 2 +· · ·+aαz α, where ai is the number of independent sets in G with cardinality i and α is the cardinality of a largest independent set in G, known as the…
Eric C. Wong
The brain is thought to represent information in the form of activity in distributed groups of neurons known as attractors, but it is not clear how attractors are formed or used in processing. We show here that in a randomly connected network of simulated spiking neurons, periodic stimulation of neurons with…
Janosch Fuchs, Philip A. Whittington
A k-attractor is a combinatorial object unifying dictionary-based compression. It allows to compare the repetitiveness measures of different dictionary compressors such as Lempel-Ziv 77, the Burrows-Wheeler transform, straight line programs and macro schemes. For a string T ∈ Σ n , the k-attractor is defined as a set…
Philip A. Whittington
In today's data-centric world, fast and effective compression of data is paramount. To measure success towards the second goal, Kempa and Prezza [STOC2018] introduce the string attractor, a combinatorial object unifying dictionary-based compression. Given a string T ∈ Σ n , a string attractor (k-attractor) is a set of…
Chen Beer, Omri Barak
Attractors play a key role in a wide range of processes including learning and memory. Due to recent innovations in recording methods, there is increasing evidence for the existence of attractor dynamics in the brain. Yet, our understanding of how these attractors emerge or disappear in a biological system is lacking.…
Corbinian Schlosser, Milan Korda
This paper develops a method for obtaining guaranteed outer approximations for global attractors of continuous and discrete time nonlinear dynamical systems. The method is based on a hierarchy of semidefinite programming problems of increasing size with guaranteed convergence to the global attractor. The approach taken…
Amit Kahana, Lior Segev, Doron Lancet
The origin of life must have involved an unlikely transition from chaotic chemistry to reproducing supramolecular structures. Previous quantitative analyses of reproducing mutually catalytic networks made of simple molecules have led to increasing popularity of this pre-RNA scenario for life’s origin. Here, we…
Magdalena Nowak
We study countable compact spaces as potential attractors of iterated function systems. We give an example of a convergent sequence in the real line which is not an IFS-attractor and for each countable ordinal δ we show that a countable compact space of height δ + 1 can be embedded in the real line so that it becomes…
Sung-en Chien, Fuminori Ono, Katsumi Watanabe, Bart Krekelberg
Shifts of visual attention cause systematic distortions of the perceived locations of visual objects around the focus of attention. In the attention repulsion effect, the perceived location of a visual target is shifted away from an attention-attracting cue when the cue is presented before the target. Recently it has…