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我将结合一些个人的研究体会,介绍与流模型(flow-based generative model)相关的科学问题与科学应用。从计算物理的视角出发,我们将看到流模型与最优输运理论、流体力学、辛几何算法、重正化群、蒙特卡罗采样与分子分子模拟等领域的关联。
We consider a periodic homogenisation problem for $\phi^4_2$, a toy model that combines both renormalisation in singular SPDEs and homogenisation. In this case, we show that two different orders of th...
In this paper, we present a study on how to develop an efficient multiscale simulation strategy for the dynamics of chemically active systems on low-dimensional supports. Such reactions are encountere...
Dynamical magnetic and nuclear polarization in complex spin systems is discussed on the example of transfer of spin from exciton to the central spin of magnetic impurity in a quantum dot in the presen...
This paper describes a forward algorithm and an adjoint algorithm for computing sensitivity derivatives in chaotic dynamical systems, such as the Lorenz attractor. The algorithms compute the derivativ...
We describe an implementation to solve Poisson’s equation for an isolated system on a unigrid mesh using FFTs. The method solves the equation globally on mesh blocks distributed across multiple proces...
We present a method for the calculation of electronic structure of systems that contain tens of thousands of atoms. The method is based on the division of the system into mutually overlapping fragme...
Atom counting theory can be used to study the role of thermal noise in quantum phase transitions and to monitor the dynamics of a quantum system. We illustrate this for a strongly correlated fermionic...
We present two new quantum algorithms. Our first algorithm is a generalization of amplitude amplification to the case when parts of the quantum algorithm that is being amplified stop at different time...
Based on the observation that the pure states of $N-$level quantum systems can be expressed in terms of $2(N-1)$ real geometric parameters, we make full use of distinguished properties of generalized ...
We propose a way to implement geometric quantum computation based on a Hamiltonian which has a doubly degenerate ground state. Thus the system, which is steered adiabatically, remains in the instant...
We consider an agent on a fixed but arbitrary node of a known threshold network, with the task of detecting an unknown missing link/node. We obtain analytic formulas for the probability of success, w...
The nonextensive statistical mechanics proposed by Tsallis is today an intense and growing research field. Probability distributions which emerges from the nonextensive formalism (q-distributions) hav...

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