Zobrazeno 1 - 10
of 44
pro vyhledávání: '"CAPALA, KAROL"'
Quantum adiabatic optimization has long been expected to outperform classical methods in solving NP-type problems. While this has been proven in certain experiments, its main applications still reside in academic problems where the size of the system
Externí odkaz:
http://arxiv.org/abs/2410.07744
Noise is a fundamental problem in learning theory with huge effects in the application of Machine Learning (ML) methods, due to real world data tendency to be noisy. Additionally, introduction of malicious noise can make ML methods fail critically, a
Externí odkaz:
http://arxiv.org/abs/2406.08428
In a world where Machine Learning (ML) is increasingly deployed to support decision-making in critical domains, providing decision-makers with explainable, stable, and relevant inputs becomes fundamental. Understanding how machine learning works unde
Externí odkaz:
http://arxiv.org/abs/2401.11044
Autor:
Capała, Karol, Szymczak, Piotr
Knotted proteins, when forced through the pores, can get stuck if the knots in their backbone tighten under force. Alternatively, the knot can slide off the chain, making translocation possible. We construct a simple energy landscape model of this pr
Externí odkaz:
http://arxiv.org/abs/2311.03917
The availability of large data sets is providing an impetus for driving current artificial intelligent developments. There are, however, challenges for developing solutions with small data sets due to practical and cost-effective deployment and the o
Externí odkaz:
http://arxiv.org/abs/2308.12031
Autor:
Capała, Karol, Dybiec, Bartłomiej
Publikováno v:
Chaos 33, 103124 (2023)
Stochastic restarting is a strategy of starting anew. Incorporation of the resetting to the random walks can result in the decrease of the mean first passage time, due to the ability to limit unfavorably meandering, sub-optimal trajectories. In the f
Externí odkaz:
http://arxiv.org/abs/2305.14832
Autor:
Capała, Karol, Dybiec, Bartłomiej
Publikováno v:
Phys. Rev. E 105, 064125 (2022)
Properties of the noise-driven escape kinetics are mainly determined by the stochastic component of the system dynamics. Nevertheless, the escape dynamics is also sensitive to deterministic forces. Here, we are exploring properties of the overdamped
Externí odkaz:
http://arxiv.org/abs/2204.00675
Publikováno v:
Chaos 32, 063129 (2022)
Stochastic resetting and noise-enhanced stability are two phenomena which can affect the lifetime and relaxation of nonequilibrium states. They can be considered as measures of controlling the efficiency of the completion process when a stochastic sy
Externí odkaz:
http://arxiv.org/abs/2203.13063
Autor:
Capała, Karol, Dybiec, Bartłomiej
Publikováno v:
J. Stat. Mech. 083216 (2021)
The escape of the randomly accelerated undamped particle from the finite interval under action of stochastic resetting is studied. The motion of such a particle is described by the full Langevin equation and the particle is characterized by the posit
Externí odkaz:
http://arxiv.org/abs/2105.05203
Publikováno v:
Phys. Rev. E 103, 062135 (2021)
Theory of stochastic processes provides theoretical tools which can be efficiently used to explore properties of noise induced escape kinetics. Since noise facilitated escape over the potential barrier resembles free climbing, one can use the first p
Externí odkaz:
http://arxiv.org/abs/2104.10965