Stochastic integrate and fire models: a review on mathematical methods and their applications
L Sacerdote, MT Giraudo - … models: with applications to neuronal modeling, 2013 - Springer
Mathematical models are an important tool for neuroscientists. During the last 30 years
many papers have appeared on single neuron description and specifically on stochastic …
many papers have appeared on single neuron description and specifically on stochastic …
Ultra-slow-roll inflation with quantum diffusion
C Pattison, V Vennin, D Wands… - Journal of Cosmology …, 2021 - iopscience.iop.org
We consider the effect of quantum diffusion on the dynamics of the inflaton during a period of
ultra-slow-roll inflation. We extend the stochastic-δ Script N formalism to the ultra-slow-roll …
ultra-slow-roll inflation. We extend the stochastic-δ Script N formalism to the ultra-slow-roll …
A comparison of sequential sampling models for two-choice reaction time.
R Ratcliff, PL Smith - Psychological review, 2004 - psycnet.apa.org
The authors evaluated 4 sequential sampling models for 2-choice decisions--the Wiener
diffusion, Ornstein-Uhlenbeck (OU) diffusion, accumulator, and Poisson counter models--by …
diffusion, Ornstein-Uhlenbeck (OU) diffusion, accumulator, and Poisson counter models--by …
Global gain modulation generates time-dependent urgency during perceptual choice in humans
PR Murphy, E Boonstra, S Nieuwenhuis - Nature communications, 2016 - nature.com
Decision-makers must often balance the desire to accumulate information with the costs of
protracted deliberation. Optimal, reward-maximizing decision-making can require dynamic …
protracted deliberation. Optimal, reward-maximizing decision-making can require dynamic …
Stochastic dynamic models of response time and accuracy: A foundational primer
PL Smith - Journal of mathematical psychology, 2000 - Elsevier
A large class of statistical decision models for performance in simple information processing
tasks can be described by linear, first-order, stochastic differential equations (SDEs), whose …
tasks can be described by linear, first-order, stochastic differential equations (SDEs), whose …
“Reliable organisms from unreliable components” revisited: the linear drift, linear infinitesimal variance model of decision making
PL Smith - Psychonomic Bulletin & Review, 2023 - Springer
Diffusion models of decision making, in which successive samples of noisy evidence are
accumulated to decision criteria, provide a theoretical solution to von Neumann's problem of …
accumulated to decision criteria, provide a theoretical solution to von Neumann's problem of …
Primordial black holes from metric preheating: mass fraction in the excursion-set approach
We calculate the mass distribution of Primordial Black Holes (PBHs) produced during metric
preheating. After inflation, the oscillations of the inflaton at the bottom of its potential source a …
preheating. After inflation, the oscillations of the inflaton at the bottom of its potential source a …
Testing the drift-diffusion model
The drift-diffusion model (DDM) is a model of sequential sampling with diffusion signals,
where the decision maker accumulates evidence until the process hits either an upper or …
where the decision maker accumulates evidence until the process hits either an upper or …
[PDF][PDF] An outline of theoretical and algorithmic approaches to first passage time problems with applications to biological modeling
LM Ricciardi, AD Crescenzo, V Giorno… - Mathematica …, 1999 - researchgate.net
The role of stochastic diffusion processes for modeling purposes is discussed. Special
emphasis is put on neuronal firing problems and on the description of popula tion dynamics …
emphasis is put on neuronal firing problems and on the description of popula tion dynamics …
Comparing fixed and collapsing boundary versions of the diffusion model
C Voskuilen, R Ratcliff, PL Smith - Journal of mathematical psychology, 2016 - Elsevier
Optimality studies and studies of decision-making in monkeys have been used to support a
model in which the decision boundaries used to evaluate evidence collapse over time. This …
model in which the decision boundaries used to evaluate evidence collapse over time. This …