1. Perturbative construction of mean-field equations in extensive-rank matrix factorization and denoising 

   Maillard, Antoine; Krzakala, Florent; Mezard, Marc; et al. (2022)

   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

   Factorization of matrices where the rank of the two factors diverges linearly with their sizes has many applications in diverse areas such as unsupervised representation learning, dictionary learning or sparse coding. We consider a setting where the two factors are generated from known component-wise independent prior distributions, and the statistician observes a (possibly noisy) component-wise function of their matrix product. In the ...

   Journal Article

2. Different types of semi-natural habitat are required to sustain diverse wild bee communities across agricultural landscapes 

   Maurer, Corina; Sutter, Louis; Martinez-Nunez, Carlos; et al. (2022)

   JOURNAL OF APPLIED ECOLOGY

   1. Semi-natural habitats provide important resources for wild bees in agricultural landscapes. Landscapes under management are dynamic and floral resources fluctuate in space and time. Thus, promoting different semi-natural habitat types within landscapes could be key to support diverse bee meta-communities throughout the season.

   Journal Article

3. Stylometric similarity in literary corpora: Non-authorship clustering and Deutscher Novellenschatz 

   Papcke, Simon; Weitin, Thomas; Herget, Katharina; et al. (2022)

   Digital Scholarship in the Humanities

   A distant-reading task in literary corpus analysis is to group stylometrically similar texts. Since there are many ways to define writing style, the result not only depends on the clustering method but even more so on the measure of similarity. With authorship attribution, the predominant application of stylometry, as its benchmark much research has addressed the utility of methods for measuring similarity. We use a corpus of German-language ...

   Journal Article

4. Computationally efficient sparse clustering 

   Loeffler, Matthias; Wein, Alexander S.; Bandeira, Afonso S. (2022)

   Information and Inference: A Journal of the IMA

   We study statistical and computational limits of clustering when the means of the centres are sparse and their dimension is possibly much larger than the sample size. Our theoretical analysis focuses on the model X-i = z(i)theta + epsilon(i), z(i) is an element of {-1, 1}, epsilon(i) similar to N (0, I), which has two clusters with centres theta and -theta. We provide a finite sample analysis of a new sparse clustering algorithm based on ...

   Journal Article

5. DNA compaction and dynamic observation in a nanopore gated sub-attoliter silicon nanocavity 

   Zeng, Shuangshuang; Chinappi, Mauro; Cecconi, Fabio; et al. (2022)

   NANOSCALE

   Confinement of biopolymers inside volumes with micro- or nanoscale lateral dimensions is ubiquitous in nature. Investigating the behavior of biopolymers in a confined environment is essential to improve our basic understanding in life sciences. In this work, we present a nanopore gated sub-attoliter silicon nanocavity device, which allows DNA compaction similar to that in virus capsids. Single DNA molecules can be electrically driven into ...

   Journal Article

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