Understanding the influence of hyperparameters on the performance of a machine learning algorithm is an important scientific topic in itself and can help to improve automatic hyperparameter tuning procedures. Unfortunately, experimental meta data fo…

Understanding the influence of hyperparameters on the performance of a machine learning algorithm is an important scientific topic in itself and can …

We consider a control-constrained parabolic optimal control problem without Tikhonov term in the tracking functional. For the numerical treatment, we…

We study chimera states, which are partial synchronization patterns consisting of spatially coexisting domains of coherent (synchronized) and incoher…

In this article we have built on the relationship between moment functions A(w) of closed simple random walks w written as formal power series of the form

In this article we study the distribution of the number of points of a simple random walk, visited a given number of times (the k-multiple point rang…

Chimera states are an example of intriguing partial synchronization patterns emerging in networks of identical oscillators. They consist of spatially…

Point estimation of class prevalences in the presence of data set shift has been a popular research topic for more than two decades. Less attention h…

In this article we combine two developments in polynomial optimization. On the one hand, we consider nonnegativity certificates based on sums of nonn…

Breast cancer is one of the main causes of cancer death worldwide. Early diagnostics significantly increases the chances of correct treatment and sur…

In this paper we have defined counter clockwise continous branches of holomorphic/meromorphic functions ζ0 and ζ2 on a Riemann surface with infinitely many sheets as simple antiderivatives of integral transforms of the characteristic function of cer…

In this paper we establish an exact relationship between the asymptotic probability distributions $\nu_0$ and $\nu_2$ of the multiple point range of …

We present mlrMBO, a flexible and comprehensive R toolbox for model-based optimization (MBO), also known as Bayesian optimization, which addresses th…

Non-centralized recommendation-based decision making is a central feature of several social and technological processes, such as market dynamics, pee…

Many stochastic systems in physics and biology are investigated by recording the two-dimensional (2D) positions of a moving test particle in regular …

The ability to reliably predict critical transitions in dynamical systems is a long-standing goal of diverse scientific communities. Previous work fo…

We study the behavior of Quantum Darwinism (Zurek, [8]) within the iterative, random unitary operations qubit-model of pure decoherence (Novotny et a…

As we have seen, the classification of EI-categories of finite representation type gets very complicated, even with the assumption that the category has only two objects. The distinguishing mark for finite or infinite representation type seems to be…

EI-categories are a simultaneous generalisation of finite groups and finite quivers without oriented cycles. It is therefore a natural question to as…

Coherent energy transfer in pigment-protein complexes has been studied by mapping the quantum network to a kinetic network. This gives an analytic wa…

Classification is the task of predicting the class labels of objects based on the observation of their features. In contrast, quantification has been…

In this paper we proved the elimination conjecture for some special cases and presented a new approach that we hope should work to prove the conjecture in full generality.

We say that a set system $\mathcal{F}\subseteq 2^{[n]}$ shatters a given set $S\subseteq [n]$ if $2^S= \{F~\cap~S:~F~\in~\mathcal{F}\}$. The Sauer-Sh…

Semantic segmentation of robotic instruments is an important problem for the robot-assisted surgery. One of the main challenges is to correctly detec…

We consider two reflecting diffusion processes $(X_t)_{t \ge 0}$ with a moving reflection boundary given by a non-decreasing pure jump Markov process…

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