In this document, we describe in greater detail how we arrived at the continuous-time model. We accomplish several tasks here. First we establish that the turnout functions exist, and we present the continuous-time turnout functions in the case that one party wins all the elections on some interval of time. Second, we derive the α(t) formalism we employed in Section 1.2; this is our most import...

Zheng Xu1∗, Mário A. T. Figueiredo2, Xiaoming Yuan3, Christoph Studer 4, Tom Goldstein1 1Department of Computer Science, University of Maryland, College Park, MD 2Instituto de Telecomunicações, Instituto Superior Técnico, Universidade de Lisboa, Portugal 3Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong 4Department of Electrical and Computer Engineering, Cornell ...

An adaptive optics system is used for correcting tip-tilt disturbances in an experimental laser material processing setup. The proposed tip-tilt controller is based on PI-controllers that are fed with disturbance estimates from a Kalmanfilter. In addition, delays due to wavefront computation in the wavefront sensor and from data transmission are taken into account in the loop-shaping design. La...

The growing amount of available learning material nowadays requires a significant filtering effort by students for problem solving tasks. In addition, the choice of the appropriate type of learning material differs depending on the individual learner’s preferences. In this work, we suggest to move from a material-centered to a studentand task-centered approach by integrating and suggesting lear...

This section reviews the basic SMC algorithm, beginning by recapitulating the setup described in the main text. Consider a probabilistic model comprising (possibly multi-dimensional) hidden and observed states z1:T and x1:T respectively, whose joint distribution factorizes as p(z1:T ,x1:T ) = p(z1)p(x1|z1) ∏T t=2 p(zt|z1:t−1)p(xt|z1:t,x1:t−1). This general form subsumes common statespace models...

This is the supplementary material for the paper entitled “Deep Adaptive Image Clustering”. The supplementary material is organized as follows. Section 1 gives the mapping function described in Figure 1. Section 2 presents the proof of Theorem 1. Section 3 details the experimental settings in our experiments. 1. The Mapping Function Utilized in Figure 1 We assume that li represents the label fe...