Justin Curry

1. Sheaves, Cosheaves and Applications
   2013/03/13 by Justin Curry, Curry, Justin · 20 citations
   Computer Science · Mathematics · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Topological and Geometric Data Analysis
2. How Many Directions Determine a Shape and other Sufficiency Results for Two Topological Transforms
   2018/05/24 by Justin Curry, Sayan Mukherjee, Curry, Justin +3 · 8 citations
   Computer Science · #Algebraic Topology (math.AT) #FOS: Mathematics #Statistics Theory (math.ST) #Topological and Geometric Data Analysis
3. Position: Topological Deep Learning is the New Frontier for Relational Learning
   2024/02/14 by Theodore Papamarkou, Tolga Birdal, Papamarkou, Theodore +41 · 18 citations
   Biochemistry, Genetics and Molecular Biology · Computer Science · #Cell Image Analysis Techniques #FOS: Computer and information sciences #Image Retrieval and Classification Techniques #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Topological and Geometric Data Analysis
4. The Fiber of the Persistence Map for Functions on the Interval
   2017/06/19 by Justin Curry, Curry, Justin · 1 citation
   Computer Science · Mathematics · Medicine · #Topological and Geometric Data Analysis #Homotopy and Cohomology in Algebraic Topology #Advanced Neuroimaging Techniques and Applications
5. From Trees to Barcodes and Back Again II: Combinatorial and Probabilistic Aspects of a Topological Inverse Problem
   2021/07/23 by Justin Curry, Curry, Justin, Jordan DeSha +9 · 1 citation
   Biochemistry, Genetics and Molecular Biology · Computer Science · #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Biological sciences #FOS: Mathematics #Fractal and DNA sequence analysis #Image Retrieval and Classification Techniques #Populations and Evolution (q-bio.PE) #Topological and Geometric Data Analysis
6. A Sheaf-Theoretic Construction of Shape Space
   2022/04/19 by Shreya Arya, Arya, Shreya, Justin Curry +3 · 2 citations
   Computer Science · #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG) #Statistics Theory (math.ST) #Topological and Geometric Data Analysis
7. A Lattice-Theoretic Perspective on the Persistence Map
   2022/03/01 by Brendan Mallery, Adélie Garin, Mallery, Brendan +3 · 1 citation
   Computer Science · #Topological and Geometric Data Analysis #Digital Image Processing Techniques