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GIT: New pre-print: Nerve theorems for fixed points of neural networks

GeeksforGeeks Calculator

GIT: External Faculty of the Vermont Complex Systems Center

I am so excited to tell the world that I am an inaugural member of the Vermont Complex Systems Center External Faculty. I am humbled to be part of this inspiring group of researchers that I have admired for so long! I mean seriously! Look at the company I have: VCSC External Faculty .
Some of them I have known for a while and others I have been adolizing from afar. They are all super-nice people and great scientists and I can't wait for the opportunity to spend some time talking science with them. The future is looking bright!

And did you see their cute mascots?

GIT: I coded a thing, if you use GoogleScholar you might find it useful too

I have always had trouble navigating the huge amount of new papers, pre-prints, and tweets that come out every day. I always felt like I was the last one to know about other people’s research until I went to a conference or stumbled upon it during the literature research for a new paper. I still haven’t figured out Twitter, but I did figure out how to have a list of new papers and pre-prints as they come out. It might not be the smartest way, but last year I coded a small script to compactify all the Google Scholar alerts I subscribe to.

GIT: Social Network Analysis for the network scientist

Since I moved to IUNI as an Assistant Research Scientist, I have been struggling to communicate in a precise scientific language with network scientist in Sociology. The main problem being that the same terms I have learned from network scientists in Informatics do not always mean exactly the same thing in the two disciplines.
So here I am going to try and put together a list of resources for Informatics/Physics trained network scientist to better navigate the long history of Social Network Analysis in Sociology.

GIT: Layered DAG drawing - list of useful reading

I decided to add a layered graph drawing algorithm to my Mapper code [citation missing] So i have been looking for descriptions of the Sugiyama Method online, here are the best i found:
https://github.com/erikbrinkman/d3-dag
https://www.csd.uoc.gr/~hy583/papers/ch10.pdf
http://www.it.usyd.edu.au/~shhong/fab.pdf
http://publications.lib.chalmers.se/records/fulltext/161388.pdf
http://www.graphviz.org/Documentation/TSE93.pdf
https://blog.disy.net/sugiyama-method/
https://pdfs.semanticscholar.org/9d5e/62920365f339e9121e6e62f4cdc7a10ed058.pdf

GIT: New paper in Network Neuroscience

New work out, together with collaborators at King’s College London, Imperial College London and ISI Foundation.
We applied the Mapper algorithm to the AHBA (Allen Human Brain Atlas). Our results suggest that topological network descriptions can be a powerful tool to explore the relationships between genetic pathways and their association with brain function and its perturbation due to illness and/or pharmacological challenge.

S.A.S.S.A.F.R.A.S.

A small script that looks for unread Google Scholar Alerts emails in your Gmail account and saves each paper in a Google Spreadsheet as:
Title/ Authors - Journal/ Google Scholar link/ Date/ number of Alerts that contained the paper

TDA summary for gene-expression: Mapper Algorithm in 2D

Code for reproducing results in the paper "Topological gene-expression networks recapitulate brain anatomy and function".
We present a pipeline based on the Mapper algorithm, a topological simplification tool, to produce and analyze genes co-expression data.
The code contains an implementation of the Mapper algorithm with 2 filters and to compute the agreement edge density matrices for the optimal parameters.

GIT: P-persistent homology of finite topological spaces

We show that for any P-persistent object X in the category of finite topological spaces, there is a P− weighted graph whose clique complex has the same P-persistent homology as X.

GIT: Complex politics: A quantitative semantic and topological analysis of uk house of commons debates.

An exploratory attempt to use quantitative semantics techniques and topological analysis to analyze systemic patterns arising in a complex political system.

GIT: Construction of and efficient sampling from the simplicial configuration model

We propose the simplicial configuration model and use it to build null models to investigate the topology of real systems.

GIT: Navigating features: a topologically informed chart of electromyographic features space.

The success of biological signal pattern recognition depends crucially on theselection of relevant features. Across signal and imaging modalities, a largenumber of features have been proposed, leading to feature redundancy and the need for optimal feature set identification. A further complication is that,due to the inherent biological variability, even the same classification problemon different datasets can display variations in the respective optimal sets,casting doubts on the generalizability of relevant features. Here, we approachthis problem by leveraging topological tools to create charts of features spaces.These charts highlight feature sub-groups that encode similar information(and their respective similarities) allowing for a principled and interpretablechoice of features for classification and analysis. Using multiple electro-myographic (EMG) datasets as a case study, we use this feature chartto identify functional groups among 58 state-of-the-art EMG features, and toshow that they generalize across three different forearm EMG datasets obtained from able-bodied subjects during hand and finger contractions.We find that these groups describe meaningful non-redundant information,succinctly recapitulating information about different regions of featurespace. We then recommend representative features from each group basedon maximum class separability, robustness and minimum complexity.

GIT: Topological analysis of data

An editorial where we briefly present the TDA paradigm and some applications, in order to highlight its relevance to the data science community.

GIT: The shape of collaborations.

A study on the structure of scientific collaborations using simplicial descriptions of publications. We extend the concept of triadic closure to simplicial complexes and introduce a new way of dealing with large simplex sizes when computing homology.

GIT: Topological gene-expression networks recapitulate brain anatomy and function.

We present a pipeline based on Mapper to analyze genes co-expression data. We find that co-expression networks produced by Mapper returned a structure that matches the well-known anatomy of the dopaminergic pathway.

GIT: Topological Analysis of Differential Effects of Ketamine and Propofol Anesthesia on Brain Dynamics.

GIT: Generalized Penalty for Circular Coordinate Representation.

GIT: Networks beyond pairwise interactions: structure and dynamics.

GIT: Choices in networks: a research framework

GIT: Nerve theorems for fixed points of neural networks.

GIT: One graph to rule them all

GIT: Poset persistence as sublevel filtration of weighted objects

GIT: Topology of Networks Time-delay Embeddings

GIT: Introduction to Topological Data Analysis

GIT: A hierarchical stochastic growth model for simplicial complexes

GIT: Topological Data Analysis with applications to neuroscience

GIT: Topological gene expression networks capture spatial and gene-gene interactions

GIT: Topological gene expression networks for neuroimaging

GIT: Topological gene expression networks capture spatial and gene-gene interactions

GIT: Topological gene expression networks capture spatial and gene-gene interactions

GIT: Computational Tools for handling simplicial complexes in real datasets

GIT: Construction and efficient sampling from the simplicial configuration model

GIT: Topological summaries for the analysis of neuroimaging datasets

GIT: Application of topological data analysis to the detection of mild cognitive impairment

GIT: The simplicial configuration model: a sampling method

GIT: Algebraic Topology - MATH 354

The course is an intrduction to basic Algebraic Topology concepts, like homotopy, homology and cohomology. We will look into application to Data Science at the end of the semester.

GIT: Topology - MATH 254

Introductory course on point set topology.

GIT: Data Science I - STAT 287

Combining data, computation, and inferential thinking, data science is redefining how people and organizations solve challenging problems and understand their world. Modeled on Berkely’s Data 100 course, this course introduces basic concepts in data science.
In this class, we explore key areas of data science including question formulation, data collection and cleaning, visualization, statistical inference, predictive modeling, and decision making. Through a strong emphasizes on data centric computing, quantitative critical thinking, and exploratory data analysis this class covers key principles and techniques of data science. These include languages for transforming, querying and analyzing data; algorithms for machine learning methods including regression, classification and clustering; principles behind creating informative data visualizations; statistical concepts of measurement error and prediction; and techniques for scalable data processing.