We developed Species-OT using Gromov-Wasserstein optimal transport to quantify cross-species transcriptome differences and infer gene correspondences by tissue, even with different gene lists.
https://t.co/zdxWSzkXz9
Our paper has been published in Chaos!
We propose a framework for detecting tipping points in dynamical time-series data via ε-attracting basins, demonstrated on Typhoon Dolphin ensemble simulations.
https://t.co/aYR8DIz9vX
Oda-san (U Tokyo) and I developed a segmentation tool for membrane images using persistent homology, a topological data analysis (TDA).
PomSeg enables users to flexibly segment cells of varying sizes and overlaps.
https://t.co/UbgNfBwxw0
We have posted a preprint that qualitatively compares the "geometric" difference of transcriptomes among species using the Gromov-Wasserstein optimal transport!
Updated RECODE to v2.1 and posted a related bioRxiv preprint. This version enhances noise-reduction accuracy and adds a highly variable gene (HVG) selection function. RECODE-based HVG selection identifies key genes more accurately than Seurat or Scanpy.
https://t.co/6dpeEEc2M5
We formulated the ε-attracting basin as the region drawn toward a desired attractor by control inputs of magnitude ε, unveiling its filtration properties. Astonishingly, ε can be negative, reflecting basin robustness.
https://t.co/i6f9KFR3vN
We mathematically proved the existence of the curse of dimensionality in persistence diagrams. This work was led primarily by Mr. Enhao Liu.
https://t.co/N9lDYYW8Dq
#TopologicalDataAnalysis#Statistics
New preprint out!
"Meteorological Landscape of Tropical Cyclone🌀"
A collaboration between applied math & meteorology:
🔗 https://t.co/wL5TCmrU4C
#TropicalCyclone#DataScience
A collaboration using RECODE.
Safeguarding intestinal stem cells during aging through balanced signaling | ASHBi Institute for the Advanced Study of Human Biology
https://t.co/Pd5ki6wwwM
A paper on scEGOT, a single-cell trajectory inference framework based on entropic Gaussian mixture optimal transport, has been published in BMC Bioinformatics! This work is a fusion research project with mathematics and biology at ASHBi.
https://t.co/jhnLy92ZDs
RECODE was used to extract clusters of transcription factors, enabling the high-precision classification of neuroblastoma stages 4 and 4S through the generalized topological overlapping measure (GTOM).
https://t.co/0jIiEQc93y