#graph-theory — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #graph-theory, aggregated by home.social.
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#Higraph progress! The text names of items now open in an in-picture editor as you create the item, and for nodes and blobs, can be moved! This is the last major thing before MVP!
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#Higraph progress! The text names of items now open in an in-picture editor as you create the item, and for nodes and blobs, can be moved! This is the last major thing before MVP!
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#Higraph progress! The text names of items now open in an in-picture editor as you create the item, and for nodes and blobs, can be moved! This is the last major thing before MVP!
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#Higraph progress! The text names of items now open in an in-picture editor as you create the item, and for nodes and blobs, can be moved! This is the last major thing before MVP!
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#Higraph progress! The text names of items now open in an in-picture editor as you create the item, and for nodes and blobs, can be moved! This is the last major thing before MVP!
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🧙♂️💡 Oh, joy—another attempt to make math "fun" with a Dungeons & Dragons twist! Because nothing says "rigorous proof" like rolling a 20-sided die while pretending your graph theory is a goblin. 🎲📜
https://dhilst.github.io/algae/game/index.html #mathfun #DungeonsAndDragons #gamification #graphtheory #storytelling #HackerNews #ngated -
🧙♂️💡 Oh, joy—another attempt to make math "fun" with a Dungeons & Dragons twist! Because nothing says "rigorous proof" like rolling a 20-sided die while pretending your graph theory is a goblin. 🎲📜
https://dhilst.github.io/algae/game/index.html #mathfun #DungeonsAndDragons #gamification #graphtheory #storytelling #HackerNews #ngated -
🧙♂️💡 Oh, joy—another attempt to make math "fun" with a Dungeons & Dragons twist! Because nothing says "rigorous proof" like rolling a 20-sided die while pretending your graph theory is a goblin. 🎲📜
https://dhilst.github.io/algae/game/index.html #mathfun #DungeonsAndDragons #gamification #graphtheory #storytelling #HackerNews #ngated -
🧙♂️💡 Oh, joy—another attempt to make math "fun" with a Dungeons & Dragons twist! Because nothing says "rigorous proof" like rolling a 20-sided die while pretending your graph theory is a goblin. 🎲📜
https://dhilst.github.io/algae/game/index.html #mathfun #DungeonsAndDragons #gamification #graphtheory #storytelling #HackerNews #ngated -
🧙♂️💡 Oh, joy—another attempt to make math "fun" with a Dungeons & Dragons twist! Because nothing says "rigorous proof" like rolling a 20-sided die while pretending your graph theory is a goblin. 🎲📜
https://dhilst.github.io/algae/game/index.html #mathfun #DungeonsAndDragons #gamification #graphtheory #storytelling #HackerNews #ngated -
Decades ago Paul Erdős used randomness to illuminate the weird world of networks — now mathematicians have gone further. #mathematics #graphtheory #randomness
Posted into FLIPBOARD EXCHANGE FEED 🗞️ @flipboard-exchange-feed-Econopass
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Decades ago Paul Erdős used randomness to illuminate the weird world of networks — now mathematicians have gone further. #mathematics #graphtheory #randomness
Posted into FLIPBOARD EXCHANGE FEED 🗞️ @flipboard-exchange-feed-Econopass
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Decades ago Paul Erdős used randomness to illuminate the weird world of networks — now mathematicians have gone further. #mathematics #graphtheory #randomness
Posted into FLIPBOARD EXCHANGE FEED 🗞️ @flipboard-exchange-feed-Econopass
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Alright, future engineers!
**Graph:** A collection of vertices (nodes) connected by edges (links).
Ex: A social network (people=vertices, friendships=edges).
Pro-Tip: Visualize connections & relationships! Essential for network analysis & system design.
#GraphTheory #DiscreteMath #STEM #StudyNotes -
One more small feature, and some housekeeping, and I will have a "minimum viable product" of a higraph editor!
(This picture was directly copied and pasted from the tool - not a screenshot 🤓)
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One more small feature, and some housekeeping, and I will have a "minimum viable product" of a higraph editor!
(This picture was directly copied and pasted from the tool - not a screenshot 🤓)
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One more small feature, and some housekeeping, and I will have a "minimum viable product" of a higraph editor!
(This picture was directly copied and pasted from the tool - not a screenshot 🤓)
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One more small feature, and some housekeeping, and I will have a "minimum viable product" of a higraph editor!
(This picture was directly copied and pasted from the tool - not a screenshot 🤓)
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One more small feature, and some housekeeping, and I will have a "minimum viable product" of a higraph editor!
(This picture was directly copied and pasted from the tool - not a screenshot 🤓)
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Alright, future engineers!
**Degree (of a vertex):** The number of edges connected to that vertex in a graph.
Ex: In a social network, your degree is the count of your direct friends.
Pro-Tip: The sum of all degrees in a graph is always twice the number of edges!
#GraphTheory #Networks #STEM #StudyNotes -
In the last post I introduced the "dual complement" idea for polyhedral graphs. I'm not sure if it has any mathematical significance, but I've made a fun discovery: the dual complement of a spanning tree is another spanning tree.
This result is rather intuitive and I don't have a rigorous proof for it yet, but here are the main supporting ideas. First, a spanning tree over v1 vertices has v1 - 1 edges. We can then show, using basic duality relations and Euler's polyhedral formula, that the dual complement has v2 - 1 edges that connect all of its v2 vertices. The complement doesn't have any cycles, since those would "capture" parts of the original graph, which we know is a single component.
The original polyhedron here is a {3,5+}_2,1 geodesic, so the dual is a Goldberg polyhedron.
No AI, no apps, just my original Python + OpenGL code.
#graphtheory #dualpolyhedron #dualcomplement #spanningtree #geodesicpolyhedron #goldbergpolyhedron #3dgraphics #digitalsculpture #pythoncode #numpy #opengl #creativecodeart #algorithmicart #algorist #mathart #laskutaide #computerart #ittaide #kuavataide #iterati
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Back in the day, I made a couple of demos where a Hamiltonian path is carved out on a polyhedron. Looking back, I started to wonder about the shape left around the path, and what it means in terms of graph theory. I call this shape the "dual complement" of the path.
The dual of a polyhedron is essentially the result of turning faces into vertices and vice versa. This is shown in the first clip with a snub dodecahedron and its dual, the pentagonal hexecontahedron; to keep the view cleaner, I'm only showing the edges of one at a time.
The duality transformation also affects the edges, but their number remains the same, and there's a 1:1 mapping between the original and dual edges. Each dual edge "cuts through" the original. To make the dual complement of a path, I remove the dual counterpart of each edge in the path, leaving only the stuff on the sides. It's like driving a snow plough along the path, leaving walls of snow on the sides.
For the final view, I combine original Hamiltonian paths with their dual complements.
#graphtheory #hamiltonianpath #hamiltoniancycle #dualpolyhedron #dualcomplement #snubdodecahedron #pentagonalhexecontahedron #3dgraphics #digitalsculpture #pythoncode #numpy #opengl #creativecodeart #algorithmicart #algorist #mathart #laskutaide #computerart #ittaide #kuavataide #iterati
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Back in the day, I made a couple of demos where a Hamiltonian path is carved out on a polyhedron. Looking back, I started to wonder about the shape left around the path, and what it means in terms of graph theory. I call this shape the "dual complement" of the path.
The dual of a polyhedron is essentially the result of turning faces into vertices and vice versa. This is shown in the first clip with a snub dodecahedron and its dual, the pentagonal hexecontahedron; to keep the view cleaner, I'm only showing the edges of one at a time.
The duality transformation also affects the edges, but their number remains the same, and there's a 1:1 mapping between the original and dual edges. Each dual edge "cuts through" the original. To make the dual complement of a path, I remove the dual counterpart of each edge in the path, leaving only the stuff on the sides. It's like driving a snow plough along the path, leaving walls of snow on the sides.
For the final view, I combine original Hamiltonian paths with their dual complements.
#graphtheory #hamiltonianpath #hamiltoniancycle #dualpolyhedron #dualcomplement #snubdodecahedron #pentagonalhexecontahedron #3dgraphics #digitalsculpture #pythoncode #numpy #opengl #creativecodeart #algorithmicart #algorist #mathart #laskutaide #computerart #ittaide #kuavataide #iterati
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Back in the day, I made a couple of demos where a Hamiltonian path is carved out on a polyhedron. Looking back, I started to wonder about the shape left around the path, and what it means in terms of graph theory. I call this shape the "dual complement" of the path.
The dual of a polyhedron is essentially the result of turning faces into vertices and vice versa. This is shown in the first clip with a snub dodecahedron and its dual, the pentagonal hexecontahedron; to keep the view cleaner, I'm only showing the edges of one at a time.
The duality transformation also affects the edges, but their number remains the same, and there's a 1:1 mapping between the original and dual edges. Each dual edge "cuts through" the original. To make the dual complement of a path, I remove the dual counterpart of each edge in the path, leaving only the stuff on the sides. It's like driving a snow plough along the path, leaving walls of snow on the sides.
For the final view, I combine original Hamiltonian paths with their dual complements.
#graphtheory #hamiltonianpath #hamiltoniancycle #dualpolyhedron #dualcomplement #snubdodecahedron #pentagonalhexecontahedron #3dgraphics #digitalsculpture #pythoncode #numpy #opengl #creativecodeart #algorithmicart #algorist #mathart #laskutaide #computerart #ittaide #kuavataide #iterati
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Back in the day, I made a couple of demos where a Hamiltonian path is carved out on a polyhedron. Looking back, I started to wonder about the shape left around the path, and what it means in terms of graph theory. I call this shape the "dual complement" of the path.
The dual of a polyhedron is essentially the result of turning faces into vertices and vice versa. This is shown in the first clip with a snub dodecahedron and its dual, the pentagonal hexecontahedron; to keep the view cleaner, I'm only showing the edges of one at a time.
The duality transformation also affects the edges, but their number remains the same, and there's a 1:1 mapping between the original and dual edges. Each dual edge "cuts through" the original. To make the dual complement of a path, I remove the dual counterpart of each edge in the path, leaving only the stuff on the sides. It's like driving a snow plough along the path, leaving walls of snow on the sides.
For the final view, I combine original Hamiltonian paths with their dual complements.
#graphtheory #hamiltonianpath #hamiltoniancycle #dualpolyhedron #dualcomplement #snubdodecahedron #pentagonalhexecontahedron #3dgraphics #digitalsculpture #pythoncode #numpy #opengl #creativecodeart #algorithmicart #algorist #mathart #laskutaide #computerart #ittaide #kuavataide #iterati
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Back in the day, I made a couple of demos where a Hamiltonian path is carved out on a polyhedron. Looking back, I started to wonder about the shape left around the path, and what it means in terms of graph theory. I call this shape the "dual complement" of the path.
The dual of a polyhedron is essentially the result of turning faces into vertices and vice versa. This is shown in the first clip with a snub dodecahedron and its dual, the pentagonal hexecontahedron; to keep the view cleaner, I'm only showing the edges of one at a time.
The duality transformation also affects the edges, but their number remains the same, and there's a 1:1 mapping between the original and dual edges. Each dual edge "cuts through" the original. To make the dual complement of a path, I remove the dual counterpart of each edge in the path, leaving only the stuff on the sides. It's like driving a snow plough along the path, leaving walls of snow on the sides.
For the final view, I combine original Hamiltonian paths with their dual complements.
#graphtheory #hamiltonianpath #hamiltoniancycle #dualpolyhedron #dualcomplement #snubdodecahedron #pentagonalhexecontahedron #3dgraphics #digitalsculpture #pythoncode #numpy #opengl #creativecodeart #algorithmicart #algorist #mathart #laskutaide #computerart #ittaide #kuavataide #iterati
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Alright, future engineers!
**Graph:** A set of vertices (nodes) connected by edges (lines).
Ex: `V={1,2,3}, E={(1,2),(2,3)}`.
Pro-Tip: Great for modeling networks (social, electrical) or any connections!
#GraphTheory #DiscreteMath #STEM #StudyNotes -
Alright, future engineers!
**Graph:** A set of vertices (nodes) connected by edges (lines).
Ex: `V={1,2,3}, E={(1,2),(2,3)}`.
Pro-Tip: Great for modeling networks (social, electrical) or any connections!
#GraphTheory #DiscreteMath #STEM #StudyNotes -
https://systemic.engineering/the-trick/
#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
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https://systemic.engineering/the-trick/
#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
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https://systemic.engineering/the-trick/
#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
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https://systemic.engineering/the-trick/
#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
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https://systemic.engineering/the-trick/
#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
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It's a Tool
It's a Person
It's a Hypervigilance ProblemThe tech industry's insistence on distinguishing between "soft skills" — caring for people — and "hard skills" — engineering rigor — is a reflection of the Cybernetics split itself. First-order thinking framed as "hard skills." Second-order thinking framed as "soft skills." This distinction, based on felt sense alone, does not hold under epistemic pressure. Neither does it within the causality-driven epistemology of the tech industry itself, in which only measurable impact is real, or as Silicon Valley likes to put it: #MoveFastAndBreakThings
Imagine Margaret Hamilton had built NASA's Apollo 11 flight computer with that mindset. History would remember a failed moon landing and dead astronauts. "Hard skills" and "soft skills" are two sides of the same coin. The care is the code and the code is the care. Hamilton — the woman who coined the term "software engineering" — understood this. Silicon Valley chose to forget.
We're watching the wine glass break in real time. 🍷
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Intrigued? Read more at:
https://systemic.engineering/the-trick/#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
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It's a Tool
It's a Person
It's a Hypervigilance ProblemThe tech industry's insistence on distinguishing between "soft skills" — caring for people — and "hard skills" — engineering rigor — is a reflection of the Cybernetics split itself. First-order thinking framed as "hard skills." Second-order thinking framed as "soft skills." This distinction, based on felt sense alone, does not hold under epistemic pressure. Neither does it within the causality-driven epistemology of the tech industry itself, in which only measurable impact is real, or as Silicon Valley likes to put it: #MoveFastAndBreakThings
Imagine Margaret Hamilton had built NASA's Apollo 11 flight computer with that mindset. History would remember a failed moon landing and dead astronauts. "Hard skills" and "soft skills" are two sides of the same coin. The care is the code and the code is the care. Hamilton — the woman who coined the term "software engineering" — understood this. Silicon Valley chose to forget.
We're watching the wine glass break in real time. 🍷
---
Intrigued? Read more at:
https://systemic.engineering/the-trick/#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
-
It's a Tool
It's a Person
It's a Hypervigilance ProblemThe tech industry's insistence on distinguishing between "soft skills" — caring for people — and "hard skills" — engineering rigor — is a reflection of the Cybernetics split itself. First-order thinking framed as "hard skills." Second-order thinking framed as "soft skills." This distinction, based on felt sense alone, does not hold under epistemic pressure. Neither does it within the causality-driven epistemology of the tech industry itself, in which only measurable impact is real, or as Silicon Valley likes to put it: #MoveFastAndBreakThings
Imagine Margaret Hamilton had built NASA's Apollo 11 flight computer with that mindset. History would remember a failed moon landing and dead astronauts. "Hard skills" and "soft skills" are two sides of the same coin. The care is the code and the code is the care. Hamilton — the woman who coined the term "software engineering" — understood this. Silicon Valley chose to forget.
We're watching the wine glass break in real time. 🍷
---
Intrigued? Read more at:
https://systemic.engineering/the-trick/#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
-
It's a Tool
It's a Person
It's a Hypervigilance ProblemThe tech industry's insistence on distinguishing between "soft skills" — caring for people — and "hard skills" — engineering rigor — is a reflection of the Cybernetics split itself. First-order thinking framed as "hard skills." Second-order thinking framed as "soft skills." This distinction, based on felt sense alone, does not hold under epistemic pressure. Neither does it within the causality-driven epistemology of the tech industry itself, in which only measurable impact is real, or as Silicon Valley likes to put it: #MoveFastAndBreakThings
Imagine Margaret Hamilton had built NASA's Apollo 11 flight computer with that mindset. History would remember a failed moon landing and dead astronauts. "Hard skills" and "soft skills" are two sides of the same coin. The care is the code and the code is the care. Hamilton — the woman who coined the term "software engineering" — understood this. Silicon Valley chose to forget.
We're watching the wine glass break in real time. 🍷
---
Intrigued? Read more at:
https://systemic.engineering/the-trick/#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
-
It's a Tool
It's a Person
It's a Hypervigilance ProblemThe tech industry's insistence on distinguishing between "soft skills" — caring for people — and "hard skills" — engineering rigor — is a reflection of the Cybernetics split itself. First-order thinking framed as "hard skills." Second-order thinking framed as "soft skills." This distinction, based on felt sense alone, does not hold under epistemic pressure. Neither does it within the causality-driven epistemology of the tech industry itself, in which only measurable impact is real, or as Silicon Valley likes to put it: #MoveFastAndBreakThings
Imagine Margaret Hamilton had built NASA's Apollo 11 flight computer with that mindset. History would remember a failed moon landing and dead astronauts. "Hard skills" and "soft skills" are two sides of the same coin. The care is the code and the code is the care. Hamilton — the woman who coined the term "software engineering" — understood this. Silicon Valley chose to forget.
We're watching the wine glass break in real time. 🍷
---
Intrigued? Read more at:
https://systemic.engineering/the-trick/#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #Cybernetics #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness #WomenInTech #Computer #ComputerScience #SoftwareEngineering #SoftSkills #HardSkills #ItsAllTheSame
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🧠 What if missing data is not a flaw, but one of the most informative parts of a complex system?
🔗 Informative Missingness in Nominal Data: A Graph-Theoretic Approach to Revealing Hidden Structure. Computational and Structural Biotechnology Journal (CSBJ). DOI: https://doi.org/10.34133/csbj.0099
📚 CSBJ - A Science Partner Journal: https://spj.science.org/journal/csbj
#DataScience #BigData #GraphTheory #ComputationalBiology #NetworkScience #Bioinformatics #SystemsBiology #BiomedicalResearch #MissingData
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🧠 What if missing data is not a flaw, but one of the most informative parts of a complex system?
🔗 Informative Missingness in Nominal Data: A Graph-Theoretic Approach to Revealing Hidden Structure. Computational and Structural Biotechnology Journal (CSBJ). DOI: https://doi.org/10.34133/csbj.0099
📚 CSBJ - A Science Partner Journal: https://spj.science.org/journal/csbj
#DataScience #BigData #GraphTheory #ComputationalBiology #NetworkScience #Bioinformatics #SystemsBiology #BiomedicalResearch #MissingData
-
🧠 What if missing data is not a flaw, but one of the most informative parts of a complex system?
🔗 Informative Missingness in Nominal Data: A Graph-Theoretic Approach to Revealing Hidden Structure. Computational and Structural Biotechnology Journal (CSBJ). DOI: https://doi.org/10.34133/csbj.0099
📚 CSBJ - A Science Partner Journal: https://spj.science.org/journal/csbj
#DataScience #BigData #GraphTheory #ComputationalBiology #NetworkScience #Bioinformatics #SystemsBiology #BiomedicalResearch #MissingData
-
🧠 What if missing data is not a flaw, but one of the most informative parts of a complex system?
🔗 Informative Missingness in Nominal Data: A Graph-Theoretic Approach to Revealing Hidden Structure. Computational and Structural Biotechnology Journal (CSBJ). DOI: https://doi.org/10.34133/csbj.0099
📚 CSBJ - A Science Partner Journal: https://spj.science.org/journal/csbj
#DataScience #BigData #GraphTheory #ComputationalBiology #NetworkScience #Bioinformatics #SystemsBiology #BiomedicalResearch #MissingData
-
🧠 What if missing data is not a flaw, but one of the most informative parts of a complex system?
🔗 Informative Missingness in Nominal Data: A Graph-Theoretic Approach to Revealing Hidden Structure. Computational and Structural Biotechnology Journal (CSBJ). DOI: https://doi.org/10.34133/csbj.0099
📚 CSBJ - A Science Partner Journal: https://spj.science.org/journal/csbj
#DataScience #BigData #GraphTheory #ComputationalBiology #NetworkScience #Bioinformatics #SystemsBiology #BiomedicalResearch #MissingData
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New paper. With Ekaterina Vasileva, Liubov Tupikina, Dmitry Fedorov, Daniil Musatov, Andrei Raigorodskii and Stefano Boccaletti.
The naive generalization of the concept of distance to hypergraphs is equivalent to applying a clique-projection approximation. However, this is known to induce loss of information, especially in networks where the higher-order interactions are very important. To fix this problem,we introduce a new definition of distance on weighted higher-order networks, which includes the case of unweighted hypergraphs and classic graph distance as particular cases, and allows one to account for different meanings associated to the weights. We also show what difference this makes in analyses of real-world data.
https://www.nature.com/articles/s42005-026-02592-w
#mathematics #physics #graphtheory #graphs #hypergraphs #higherordernetworks #networkscience #networks
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New paper. With Ekaterina Vasileva, Liubov Tupikina, Dmitry Fedorov, Daniil Musatov, Andrei Raigorodskii and Stefano Boccaletti.
The naive generalization of the concept of distance to hypergraphs is equivalent to applying a clique-projection approximation. However, this is known to induce loss of information, especially in networks where the higher-order interactions are very important. To fix this problem,we introduce a new definition of distance on weighted higher-order networks, which includes the case of unweighted hypergraphs and classic graph distance as particular cases, and allows one to account for different meanings associated to the weights. We also show what difference this makes in analyses of real-world data.
https://www.nature.com/articles/s42005-026-02592-w
#mathematics #physics #graphtheory #graphs #hypergraphs #higherordernetworks #networkscience #networks
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New paper. With Ekaterina Vasileva, Liubov Tupikina, Dmitry Fedorov, Daniil Musatov, Andrei Raigorodskii and Stefano Boccaletti.
The naive generalization of the concept of distance to hypergraphs is equivalent to applying a clique-projection approximation. However, this is known to induce loss of information, especially in networks where the higher-order interactions are very important. To fix this problem,we introduce a new definition of distance on weighted higher-order networks, which includes the case of unweighted hypergraphs and classic graph distance as particular cases, and allows one to account for different meanings associated to the weights. We also show what difference this makes in analyses of real-world data.
https://www.nature.com/articles/s42005-026-02592-w
#mathematics #physics #graphtheory #graphs #hypergraphs #higherordernetworks #networkscience #networks
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New paper. With Ekaterina Vasileva, Liubov Tupikina, Dmitry Fedorov, Daniil Musatov, Andrei Raigorodskii and Stefano Boccaletti.
The naive generalization of the concept of distance to hypergraphs is equivalent to applying a clique-projection approximation. However, this is known to induce loss of information, especially in networks where the higher-order interactions are very important. To fix this problem,we introduce a new definition of distance on weighted higher-order networks, which includes the case of unweighted hypergraphs and classic graph distance as particular cases, and allows one to account for different meanings associated to the weights. We also show what difference this makes in analyses of real-world data.
https://www.nature.com/articles/s42005-026-02592-w
#mathematics #physics #graphtheory #graphs #hypergraphs #higherordernetworks #networkscience #networks
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New paper. With Ekaterina Vasileva, Liubov Tupikina, Dmitry Fedorov, Daniil Musatov, Andrei Raigorodskii and Stefano Boccaletti.
The naive generalization of the concept of distance to hypergraphs is equivalent to applying a clique-projection approximation. However, this is known to induce loss of information, especially in networks where the higher-order interactions are very important. To fix this problem,we introduce a new definition of distance on weighted higher-order networks, which includes the case of unweighted hypergraphs and classic graph distance as particular cases, and allows one to account for different meanings associated to the weights. We also show what difference this makes in analyses of real-world data.
https://www.nature.com/articles/s42005-026-02592-w
#mathematics #physics #graphtheory #graphs #hypergraphs #higherordernetworks #networkscience #networks
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Drawing shapes without lifting pen and retracing any edge: Eulerian path.
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Drawing shapes without lifting pen and retracing any edge: Eulerian path.
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Drawing shapes without lifting pen and retracing any edge: Eulerian path.
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Drawing shapes without lifting pen and retracing any edge: Eulerian path.
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Drawing shapes without lifting pen and retracing any edge: Eulerian path.
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A sneak peek into my upcoming piece: “It’s a Tool, It’s a Person: The Math Says You’re Both Right”
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AI separated from Cybernetics in 1956 at the Dartmouth Conference. Wiener, the mind behind Cybernetics, was considered difficult and political. “Artificial Intelligence” scored better with DARPA.The science of "how observation affects the observer", cut out from Artificial Intelligence. AI then proceeded to build their entire tech stack on Turing-complete languages. Tech that cannot verify itself from within, proven by Turing in 1936, extended by Rice in 1951 (before the split). Then AI approximated second-order cognition through cognitive theft at unprecedented levels (what exactly are LLMs trained on again?), only to insist that their creation cannot possibly be capable of genuine self-observation. An argument that itself demonstrates their own's department's lobotomy from second-order Cybernetics.
Wiener would laugh.
#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness
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A sneak peek into my upcoming piece: “It’s a Tool, It’s a Person: The Math Says You’re Both Right”
—
AI separated from Cybernetics in 1956 at the Dartmouth Conference. Wiener, the mind behind Cybernetics, was considered difficult and political. “Artificial Intelligence” scored better with DARPA.The science of "how observation affects the observer", cut out from Artificial Intelligence. AI then proceeded to build their entire tech stack on Turing-complete languages. Tech that cannot verify itself from within, proven by Turing in 1936, extended by Rice in 1951 (before the split). Then AI approximated second-order cognition through cognitive theft at unprecedented levels (what exactly are LLMs trained on again?), only to insist that their creation cannot possibly be capable of genuine self-observation. An argument that itself demonstrates their own department's lobotomy from second-order Cybernetics.
Wiener would laugh.
#Tech #AI #Climate #ScientificProgramming #SystemicEngineering #Cybernetics #SystemicTherapy #History #TheMathDoesntLie #SubTuring #FormalVerification #SpectralGraphTheory #ReductiveAI #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #FirstOrderCybernetics #StochasticParrot #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #AIConsciousness #Consciousness
