Cover times with stochastic resetting
Contact us if these videos are not relevant.
Contact us if these videos are not relevant.
View abstract on PubMed
Summary
This summary is machine-generated.We developed methods to approximate search cover times for various processes, including diffusion, with and without stochastic resetting. Our findings show that minimal stochastic resetting can reduce mean cover time in discrete systems.
Area Of Science
- Physics
- Mathematics
- Computer Science
Background
- Cover times measure the speed of exhaustive search processes.
- Stochastic search processes are fundamental in fields like physics and computer science.
- Stochastic resetting is a technique to accelerate search by periodically restarting the process.
Purpose Of The Study
- To approximate moments of cover times for diverse stochastic search processes.
- To analyze the impact of stochastic resetting on search efficiency in continuous and discrete systems.
- To derive conditions under which stochastic resetting enhances search speed.
Main Methods
- Approximation of moments for cover times in d-dimensional continuous space and discrete networks.
- Analysis of various search processes: diffusion, run-and-tumble particles, and Markov jump processes.
- Investigation of different stochastic resetting time distributions.
Main Results
- Accurate approximations for cover time moments across various search processes and resetting distributions.
- Demonstration of exponentially fast error decay for diffusive search approximations.
- Derivation of a criterion for when minimal stochastic resetting reduces mean cover time.
Conclusions
- The developed approximations are broadly applicable to many stochastic search scenarios.
- Stochastic resetting can be a powerful tool to optimize search efficiency.
- A clear criterion is established for the beneficial application of stochastic resetting in discrete search processes.
Contact us if these videos are not relevant.
Contact us if these videos are not relevant.
Related Concept Videos
Positive reinforcement is a powerful method for teaching new behaviors to both animals and humans. B.F. Skinner demonstrated this with his experiments using rats in a Skinner box. When a rat pressed a lever, it received a food pellet. This immediate reward encouraged the rat to repeat the behavior. This method, where a reward follows every instance of the behavior, is known as continuous reinforcement. It is highly effective for establishing new behaviors quickly.
Once a behavior is learned,...
Survival analysis is a statistical method used to analyze time-to-event data, often employed in fields such as medicine, engineering, and social sciences. One of the key challenges in survival analysis is dealing with incomplete data, a phenomenon known as "censoring." Censoring occurs when the event of interest (such as death, relapse, or system failure) has not occurred for some individuals by the end of the study period or is otherwise unobservable, and it might have many different...
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
The term "bootstrap" originated in the 19th century as a metaphor for self-improvement or achieving something independently, without external assistance. This concept extends to statistical bootstrapping, a self-contained method for estimating population parameters through resampling, even though it can be computationally intensive. Developed by the American statistician Dr. Bradley Efron in 1979, bootstrapping provides a robust way to perform inference when the original sample size is...
DNA replication is initiated at sites containing predefined DNA sequences known as origins of replication. DNA is unwound at these sites by the minichromosome maintenance (MCM) helicase and other factors such as Cdc45 and the associated GINS complex.The unwound single strands are protected by replication protein A (RPA) until DNA polymerase starts synthesizing DNA at the 5’ end of the strand in the same direction as the replication fork. To prevent the replication fork from falling apart,...
In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...