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We describe a form of memory exhibited by extended excitable systems driven by stochastic fluctuations. Under such conditions, the system self-organizes into a state characterized by power-law correlations thus retaining long-term memory of…

adap-org · Physics 2009-10-31 Dante R. Chialvo , Guillermo A. Cecchi , Marcelo O. Magnasco

Dynamic particle-scale numerical simulations are used to show that the shear thickening observed in dense colloidal, or Brownian, suspensions is of a similar nature to that observed in non-colloidal suspensions, i.e., a stress-induced…

Soft Condensed Matter · Physics 2015-12-04 Romain Mari , Ryohei Seto , Jeffrey F. Morris , Morton M. Denn

We investigate the landscape of many-body memories: families of local non-equilibrium dynamics that retain information about their initial conditions for thermodynamically long time scales, even in the presence of arbitrary perturbations.…

Statistical Mechanics · Physics 2026-01-27 Ehsan Pajouheshgar , Aditya Bhardwaj , Nathaniel Selub , Ethan Lake

A self-propelled artificial microswimmer is often modeled as a ballistic Brownian particle moving with constant speed aligned along one of its axis, but changing direction due to random collisions with the environment. Similarly to thermal…

Soft Condensed Matter · Physics 2015-12-08 Pulak K. Ghosh , Yunyun Li , Giampiero Marchegiani , Fabio Marchesoni

The paper formulates the concept of persistence of excitation for discrete-time linear switched systems, and provides sufficient conditions for an input signal to be persistently exciting. Persistence of excitation is formulated as a…

Optimization and Control · Mathematics 2011-03-08 Mihaly Petreczky , Laurent Bako

Continual learning is considered a promising step towards next-generation Artificial Intelligence (AI), where deep neural networks (DNNs) make decisions by continuously learning a sequence of different tasks akin to human learning…

Machine Learning · Computer Science 2021-05-06 Yuyang Gao , Giorgio A. Ascoli , Liang Zhao

Memories are stored, retained, and recollected through complex, coupled processes operating on multiple timescales. To understand the computational principles behind these intricate networks of interactions we construct a broad class of…

Neurons and Cognition · Quantitative Biology 2015-07-29 Marcus K. Benna , Stefano Fusi

A fundamental problem in neuroscience is understanding how working memory -- the ability to store information at intermediate timescales, like 10s of seconds -- is implemented in realistic neuronal networks. The most likely candidate…

Neurons and Cognition · Quantitative Biology 2015-05-13 Yasser Roudi , Peter E. Latham

We consider the setting where a collection of time series, modeled as random processes, evolve in a causal manner, and one is interested in learning the graph governing the relationships of these processes. A special case of wide interest…

Machine Learning · Computer Science 2016-08-30 Hossein Hosseini , Sreeram Kannan , Baosen Zhang , Radha Poovendran

The long-term memory of most connectionist systems lies entirely in the weights of the system. Since the number of weights is typically fixed, this bounds the total amount of knowledge that can be learned and stored. Though this is not…

Artificial Intelligence · Computer Science 2016-10-21 Marc Pickett , Rami Al-Rfou , Louis Shao , Chris Tar

Memory formation in matter is a theme of broad intellectual relevance; it sits at the interdisciplinary crossroads of physics, biology, chemistry, and computer science. Memory connotes the ability to encode, access, and erase signatures of…

Soft Condensed Matter · Physics 2019-08-27 Nathan C. Keim , Joseph D. Paulsen , Zorana Zeravcic , Srikanth Sastry , Sidney R. Nagel

Stochastic storage models based on essentially non-Gaussian noise are considered. The stochastic description of physical systems based on stochastic storage models is associated with generalized Poisson (or shot) noise, in which the jump…

Statistical Mechanics · Physics 2025-09-22 V. V. Ryazanov

Pulse stabilization of cycles with Prediction-Based Control including noise and stochastic stabilization of maps with multiple equilibrium points is analyzed for continuous but, generally, non-smooth maps. Sufficient conditions of global…

Dynamical Systems · Mathematics 2022-08-19 Elena Braverman , Alexandra Rodkina

Discontinuous shear-thickening in dense suspensions naturally emerges from the activation of frictional forces by shear flow in non-Brownian systems close to jamming. Yet, this physical picture is incomplete as most experiments study soft…

Soft Condensed Matter · Physics 2018-08-08 Takeshi Kawasaki , Ludovic Berthier

A new type of noised-induced phase transitions that should occur in systems of elements with motivated behavior is considered. By way of an example, a simple oscillatory system {x,v} with additive white noise is analyzed numerically. A…

Soft Condensed Matter · Physics 2007-05-23 Ihor Lubashevsky , Morteza Hajimahmoodzadeh , Albert Katsnelson , Peter Wagner

We construct a Bayesian sequential test of two simple hypotheses about the value of the unobservable drift coefficient of a Brownian motion, with a possibility to change the initial decision at subsequent moments of time for some penalty.…

Probability · Mathematics 2020-07-28 Mikhail Zhitlukhin

A mechanism of memories, especially biological memories, is studied in terms of quantum fluids. Two-dimensional flows in central potentials $V_a(\rho)=-a^2g_a\rho^{2(a-1)}$ ($a\not=0$ and $\rho=\sqrt{x^2+y^2}$) have zero-energy eigenstates…

Biological Physics · Physics 2016-09-08 Tsunehiro Kobayashi

Memory is often defined as the mental capacity of retaining information about facts, events, procedures and more generally about any type of previous experience. Memories are remembered as long as they influence our thoughts, feelings, and…

Neurons and Cognition · Quantitative Biology 2017-06-16 Stefano Fusi

We describe an inference task in which a set of timestamped event observations must be clustered into an unknown number of temporal sequences with independent and varying rates of observations. Various existing approaches to multi-object…

Artificial Intelligence · Computer Science 2013-09-20 Dan Stowell , Mark D. Plumbley

We propose a unifying rheological framework for dense suspensions of non-Brownian spheres, predicting the onsets of particle friction and particle inertia as distinct shear thickening mechanisms, while capturing quasistatic and soft…

Soft Condensed Matter · Physics 2015-11-13 Christopher Ness , Jin Sun
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