iiinova — where your digital self keeps evolving

Reposted by Vincenzo Galgano

Max Planck Institute of Molecular Cell Biology and Genetics @mpi-cbg.de · 26/06/2025

Novel Research in Biological Artificial Intelligence: Expressions of interest and nominations for a Max Planck Director to lead research in the field of Biological Artificial Intelligence @mpi-cbg.de and @csbdresden.bsky.social. More information: www.mpi-cbg.de/news-outreac...

mpi-cbg.de

Novel Research in Biological Artificial Intelligence

Expressions of interest and nominations for a Max Planck Director to lead research in the field of Biological Artificial Intelligence.

03229 32

Reposted by Vincenzo Galgano

Math for Science at MPI-CBG @math-mpicbg.bsky.social · 09/05/2025

Highlights to come from Brunów, Poland, but here we all are! All current and upcoming members. A wonderful couple of days getting to know more about each others’ work. All three groups together: @haharrington.bsky.social, Türkü Özlüm Çelik, and @aidadoesmath.bsky.social 🩵🩵🩵

084 8

Vincenzo Galgano @vincgalg.bsky.social · 11/05/2025

Using the software FRUITS, we apply the discrete signature to a knotted protein dataset. We show that discrete signatures have high correlation with aminoacid sequence similarity and knot depth.

010 1

Vincenzo Galgano @vincgalg.bsky.social · 11/05/2025

The discrete signature map is invariant under consecutive repetitions and translations of time-points. We show that actually it is injective up to these two relations. This makes the discrete landscape feature map more than descriptive than the (continuous) landscape feature map.

110 1

Vincenzo Galgano @vincgalg.bsky.social · 11/05/2025

To a persistence landscape we associate the time-series of its critical points, of which we compute the discrete signature. We show that the resulting discrete feature map is uniformly continuous.

110 1

Vincenzo Galgano @vincgalg.bsky.social · 11/05/2025

The resulting "feature map" is still stable, but loses injectivity because the Chen signature map is invariant under tree-like equivalence of paths. We address this by proposing a discrete alternative.

110 1

Vincenzo Galgano @vincgalg.bsky.social · 11/05/2025

The landscape embedding associates a path to a barcode, and this map is stable and injective. Chevyrev, Nanda and Oberhauser compose it with the Chen signature map, which assigns to a path a sequence of tensors of increasing order.

210 2

Vincenzo Galgano @vincgalg.bsky.social · 11/05/2025

Very excited that my paper "Discrete signature tensors for persistence landscapes" with @haharrington.bsky.social and Daniel Tolosa is now on arXiv! We use discrete signature tensors to vectorise barcodes, and we showcase such approach on a knotted protein dataset. arxiv.org/abs/2505.02800

arxiv.org

Discrete signature tensors for persistence landscapes

Signature tensors of paths are a versatile tool for data analysis and machine learning. Recently, they have been applied to persistent homology, by embedding barcodes into spaces of paths. Among the d...

191 9

Reposted by Vincenzo Galgano

Heather Harrington @haharrington.bsky.social · 09/05/2025

Very excited that our Oxford members and postdocs on the collaboration grant @mpi-cbg.de @csbdresden.bsky.social @oxfordmathematics.bsky.social joined our research retreat!

071 7

Reposted by Vincenzo Galgano

Math for Science at MPI-CBG @math-mpicbg.bsky.social · 02/05/2025

Fulvio Gesmundo @fulges.bsky.social from the Université de Toulouse visited Vincenzo @vincgalg.bsky.social this week to work on tensor geometry. Fulvio works on tensor decomposition, ie rewriting tensors to make them usable for computations. Happy to have you with us Fulvio!

042 4

Reposted by Vincenzo Galgano

Math for Science at MPI-CBG @math-mpicbg.bsky.social · 13/02/2025

The ELBE Postdoc Program is closing for applications tomorrow (Feb 14th). We're looking for strong backgrounds in applied math, compbio/compsci/bioinformatics, theoretical physics/biophysics, and/or cell/dev bio, and a big interest in interdisciplinary research: www.csbdresden.de/join-us/as-a...

csbdresden.de

As a Postdoc

More than half of the ELBE Postdoctoral Fellows Program alumni have landed an independent academic position at the faculty level or equivalent upon leaving Dresden.

141 4

Reposted by Vincenzo Galgano

Math for Science at MPI-CBG @math-mpicbg.bsky.social · 14/02/2025

Along with Pierpaola Santarsierso from Bologna, Francesco Galuppi visited us from Warsaw, an algebraic geometer interested in the signature tensors of paths. Lots of work and discussions with Vincenzo Galgano and others, as well as tapas, pizzas, and a beautiful party hosted by Ali 🩵

021 2

Reposted by Vincenzo Galgano

Math for Science at MPI-CBG @math-mpicbg.bsky.social · 14/02/2025

And here’s Pierpaola Santarsierso! From the University of Bologna and also an algebraic geometer and tensor decomposition pro, telling us why tensors are useful in an age of giant data. We loved having you both here and no doubt we’ll see you again soon 😎

121 2