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Nov 05, 2025 — Nov 05, 2026
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Section 1474 updated
K.Srinivasan
More... almost 3 years ago
1474. (THEORY and FEATURE) Complement Diophantines - Interpolation polynomial for Range Avoidance(AVOID) - related to 323,345,471,735,1160,1280,1314,1464 and all sections on Complement Diophantines, Complement Functions, Complementary Sets, Quadratic Forms, Riemann Zeta Function, Patterns in Primes, Polynomial Reconstruction Problem, Error correcting codes, Computational Learning Theory - Multivariate Polynomial Reconstruction over Finite Fields, Lagrange-Taylor-Barycentric interpolation, Jones-Sato-Wada-Wiens Theorem, Prime-Composite Complementation, Prime Number Theorem, Ulam Spiral, Ramsey 2-coloring of integers, Hilbert Tenth Problem, Unique Factorization , Matiyasevich-Robinson-Davis-Putnam Theorem, Post's Correspondence Problem, Question-Answering, Circuit Range Avoidance (AVOID), One Way Functions - 25 January 2024
K.Srinivasan
More... almost 3 years ago
------------------------------------------------------------------------------------------------------------------------------ 1474. (THEORY and FEATURE) Complement Diophantines - Interpolation polynomial for Range Avoidance(AVOID) - related to 323,345,471,735,1160,1280,1314,1464 and all sections on Complement Diophantines, Complement Functions, Complementary Sets, Quadratic Forms, Riemann Zeta Function, Patterns in Primes, Polynomial Reconstruction Problem, Error correcting codes, Computational Learning Theory - Multivariate Polynomial Reconstruction over Finite Fields, Lagrange-Taylor-Barycentric interpolation, Jones-Sato-Wada-Wiens Theorem, Prime-Composite Complementation, Prime Number Theorem, Ulam Spiral, Ramsey 2-coloring of integers, Hilbert Tenth Problem, Unique Factorization , Matiyasevich-Robinson-Davis-Putnam Theorem, Post's Correspondence Problem, Question-Answering, Circuit Range Avoidance (AVOID), One Way Functions - 25 January 2024 --------------------------------------------------------------------------------------------------------------------------- 1474.1 python-src/complement.py has been updated for 1 line code to invoke complement_diophantine() for range avoidance set. 1474.2 Interpolation algorithm "polyfit" has been chosen over "lagrange" and "barycentric" as "lagrange" is documented to be unstable - https://docs.scipy.org/doc/scipy/reference/generated/scipy.interpolate.lagrange.html#scipy.interpolate.lagrange ("..... Warning: This implementation is numerically unstable. Do not expect to be able to use more than about 20 points even if they are chosen optimally .....") and "barycentric" sometimes crashes due to overflow errors. 1474.3 Set of even integers <= 50 are range avoided or complemented for lambda function 2*x by complement_range_avoid_infinitely_often(lambda x: 2*x,list(range(50)),list(range(50))) to get the complement Vandermonde polynomial (testlogs/complement.RangeAvoid.25January2024): PolyFit Least Squares (Vandermonde) Interpolated Degree 5 Polynomial: [-1.05302690e-19 5.26034684e-18 -8.19880544e-17 3.47836331e-16 2.00000000e+00 1.00000000e+00] which is approximately 2x + 1 having range over odd integers neglecting higher degree (>1) coefficients (~10^-15 and close to zero).
K.Srinivasan
More... almost 3 years ago
Section 1469 updated
K.Srinivasan
More... almost 3 years ago
Section 749 updated
Srinivasan Kannan
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Section 749 updated
K.Srinivasan
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Section 1472 updated
K.Srinivasan
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Section 1464 updated
K.Srinivasan
More... almost 3 years ago
Updated BestPractices.txt
K.Srinivasan
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Google Scholar profile of arxiv, TAC 2010 and NeuronRain Theory Drafts which have been implemented in NeuronRain repositories
K.Srinivasan
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Section 1464 updated
K.Srinivasan
More... almost 3 years ago
Bing and Google ranking convergence - example
K.Srinivasan
More... almost 3 years ago
Section 1472 updated
K.Srinivasan
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1472. (THEORY and FEATURE) GIS Urban Sprawl Analytics - Realtime Live Traffic Data from HERE and TomTom 2 - 11 January 2024 - related to 823, 1163,1164,1174,1175,1177,1179,1194,1211,1226,1234,1290,1291,1292,1295,1296,1297,1301,1302,1304,1312,1313,1320,1323,1326,1328,1342,1343,1349,13 50,1351,1362,1363,1377,1386,1387,1395,1397,1398,1412,1414,1423,1448,1449,1462,1471 and all sections on GIS Urban Sprawl Analytics, Merit of La rge Scale Visuals, Gridded Population Estimators (SEDAC GPW4 and GHSL convex hull estimators), DBSCAN and Neural Network Urban Extent Learners , Computational Geometry, Intrinsic Merit Rankings, Verlhulste-R Ricker Population Estimation, Community detection, Social Network Analytics, Space filling by Curves, Unequal Circle and Polynomial packing, Computational Geometry and Polygonal packing by Voronoi Tessellation, Four col or theorem, Economic Merit, Computational Economics - GDP estimation from Urban sprawl demographics, electricity consumption, Poverty alleviat ion, Preferential Attachment, Automatic Delineation of Urban Sprawls, Cellular Automata-SLEUTH-Polya Urn-Dynamic Facegraph Urban Growth Models ,Expander Graphs,Timeseries analysis,Graph Edit Distance and Earth mover distance, Face recognition,Graph Isomorphism (Exact, Approximate and Subgraph),Graph matching,Graph similarity,Image Search,Quadrilateral Mesh Deformation and Isomorphism,Maximum Common Subgraph Problem and Appr oximate Topological Matching
Srinivasan Kannan
More... almost 3 years ago
-------------------------------------------------------------------------------------------------------------------------------------------- 1472. (THEORY and FEATURE) GIS Urban Sprawl Analytics - Realtime Live Traffic Data from HERE and TomTom 2 - 11 January 2024 - related to 823,1163,1164,1174,1175,1177,1179,1194,1211,1226,1234,1290,1291,1292,1295,1296,1297,1301,1302,1304,1312,1313,1320,1323,1326,1328,1342,1343,1349,1350,1351,1362,1363,1377,1386,1387,1395,1397,1398,1412,1414,1423,1448,1449,1462,1471 and all sections on GIS Urban Sprawl Analytics, Merit of Large Scale Visuals, Gridded Population Estimators (SEDAC GPW4 and GHSL convex hull estimators), DBSCAN and Neural Network Urban Extent Learners, Computational Geometry, Intrinsic Merit Rankings, Verlhulste-R Ricker Population Estimation, Community detection, Social Network Analytics, Space filling by Curves, Unequal Circle and Polynomial packing, Computational Geometry and Polygonal packing by Voronoi Tessellation, Four color theorem, Economic Merit, Computational Economics - GDP estimation from Urban sprawl demographics, electricity consumption, Poverty alleviation, Preferential Attachment, Automatic Delineation of Urban Sprawls, Cellular Automata-SLEUTH-Polya Urn-Dynamic Facegraph Urban Growth Models,Expander Graphs,Timeseries analysis,Graph Edit Distance and Earth mover distance, Face recognition,Graph Isomorphism (Exact, Approximate and Subgraph),Graph matching,Graph similarity,Image Search,Quadrilateral Mesh Deformation and Isomorphism,Maximum Common Subgraph Problem and Approximate Topological Matching -------------------------------------------------------------------------------------------------------------------------------------------- 1472.1 python-src/image_pattern_mining/ImageNet/GISLiveTraffic.py has been updated to pretty print TomTom traffic incidents and flow JSON data by importing json. 1472.2 Function def here_live_traffic(key,bearertoken,boundingbox=[12.439259,79.271851,13.568572,80.351257]) has been enhanced to accept bearer token for OAuth and append to requests. Earlier problem with brew installation of olp cli has been solved by installation olp cli from Ubuntu ppa apt - https://www.here.com/docs/bundle/command-line-interface-user-guide-java-scala/page/topics/get-started.html: "..... To install the OLP CLI using apt, run the following commands: Add the HERE Platform Debian repository where olp-cli Debian package is published echo "deb https://repo.platform.here.com/artifactory/debian stable main" >> /etc/apt/sources.list Install GPG key from the HERE Platform Debian repository wget -qO- https://repo.platform.here.com/artifactory/api/gpg/key/public | apt-key add - Update package information and install OLP CLI package apt-get update apt-get install olp-cli ....." 1472.3 HERE bearer token is obtained by installation of credentials.properties from https://www.here.com/docs/bundle/command-line-interface-user-guide-java-scala/page/topics/configuration.html and passed on to here_live_traffic() by appending bearer token header in requests: $ olp credentials import default credentials.properties Generate the token: $ olp api token get request='https://traffic.ls.hereapi.com/traffic/6.2/flow.xml?apiKey='+key+' -H \'Authorization: Bearer '+bearertoken+'\'&bbox='+str(boundingbox[0])+','+str(boundingbox[1])+';'+str(boundingbox[2])+','+str(boundingbox[3])+'&responseattributes=sh,fc' 1472.4 Despite earlier auth settings, HERE REST calls fail with error "Illegal API key id" probably because of new platform.here.com portal migration and developer.here.com has been restricted to old apps. 1473.4 python-src/image_pattern_mining/ImageNet/GISUrbanSprawlAnalytics.py has been updated to integrate GISLiveTraffic.py into new wrapper function urban_sprawl_live_traffic(tomtomkey=None,herekey=None,bbox=None,longlat=None) and invoked for TomTom key: tomtomkey='00cKrkjfS62WPuchRmUc6Q5RAJw80hO2' urban_sprawl_live_traffic(tomtomkey=tomtomkey,bbox=[12.439259,79.271851,13.568572,80.351257]) urban_sprawl_live_traffic(tomtomkey=tomtomkey,longlat=[12.439259,79.271851]) 1473.6 Live Traffic data for TomTom and HERE API error has been logged in testlogs/GISLiveTraffic.log.11January2024 and testlogs/GISUrbanSprawlAnalytics.log.11January2024
Srinivasan Kannan
More... almost 3 years ago
Section 572 updated
Srinivasan Kannan
More... almost 3 years ago
Section 1463 updated
Srinivasan Kannan
More... almost 3 years ago
Section 588 updated
Srinivasan Kannan
More... almost 3 years ago
Section 1471 updated
K.Srinivasan
More... almost 3 years ago
Updated Requirements.txt
K.Srinivasan
More... almost 3 years ago
+1471. (THEORY and FEATURE) GIS Urban Sprawl Analytics - Realtime Live Traffic Data from HERE and TomTom - 5,6 January 2024 - related to 823,1163,1164,1174,1175,1177,1179,1194,1211,1226,1234,1290,1291,1292,1295,1296,1297,1301,1302,1304,1312,1313,1320,1323,1326,1328,1342,1343,1349,1350,1351,1362,1363,1377,1386,1387,1395,1397,1398,1412,1414,1423,1448,1449,1462 and all sections on GIS Urban Sprawl Analytics, Merit of Large Scale Visuals, Gridded Population Estimators (SEDAC GPW4 and GHSL convex hull estimators), DBSCAN and Neural Network Urban Extent Learners, Computational Geometry, Intrinsic Merit Rankings, Verlhulste-R Ricker Population Estimation, Community detection, Social Network Analytics, Space filling by Curves, Unequal Circle and Polynomial packing, Computational Geometry and Polygonal packing by Voronoi Tessellation, Four color theorem, Economic Merit, Computational Economics - GDP estimation from Urban sprawl demographics, electricity consumption, Poverty alleviation, Preferential Attachment, Automatic Delineation of Urban Sprawls, Cellular Automata-SLEUTH-Polya Urn-Dynamic Facegraph Urban Growth Models,Expander Graphs,Timeseries analysis,Graph Edit Distance and Earth mover distance, Face recognition,Graph Isomorphism (Exact, Approximate and Subgraph),Graph matching,Graph similarity,Image Search,Quadrilateral Mesh Deformation and Isomorphism,Maximum Common Subgraph Problem and Approximate Topological Matching
K.Srinivasan
More... almost 3 years ago
-------------------------------------------------------------------------------------------------------------------------------------------- 1471. (THEORY and FEATURE) GIS Urban Sprawl Analytics - Realtime Live Traffic Data from HERE and TomTom - 5,6 January 2024 - related to 823,1163,1164,1174,1175,1177,1179,1194,1211,1226,1234,1290,1291,1292,1295,1296,1297,1301,1302,1304,1312,1313,1320,1323,1326,1328,1342,1343,1349,1350,1351,1362,1363,1377,1386,1387,1395,1397,1398,1412,1414,1423,1448,1449,1462 and all sections on GIS Urban Sprawl Analytics, Merit of Large Scale Visuals, Gridded Population Estimators (SEDAC GPW4 and GHSL convex hull estimators), DBSCAN and Neural Network Urban Extent Learners, Computational Geometry, Intrinsic Merit Rankings, Verlhulste-R Ricker Population Estimation, Community detection, Social Network Analytics, Space filling by Curves, Unequal Circle and Polynomial packing, Computational Geometry and Polygonal packing by Voronoi Tessellation, Four color theorem, Economic Merit, Computational Economics - GDP estimation from Urban sprawl demographics, electricity consumption, Poverty alleviation, Preferential Attachment, Automatic Delineation of Urban Sprawls, Cellular Automata-SLEUTH-Polya Urn-Dynamic Facegraph Urban Growth Models,Expander Graphs,Timeseries analysis,Graph Edit Distance and Earth mover distance, Face recognition,Graph Isomorphism (Exact, Approximate and Subgraph),Graph matching,Graph similarity,Image Search,Quadrilateral Mesh Deformation and Isomorphism,Maximum Common Subgraph Problem and Approximate Topological Matching -------------------------------------------------------------------------------------------------------------------------------------------- 1471.1 New source file python-src/image_pattern_mining/ImageNet/GISLiveTraffic.py has been added to NeuronRain AsTroInfer repositories which implements 2 functions invoking REST endpoints from HERE and TomTom for Live traffic incidents data for a longitude-latitude bounding box or live traffic flow at a longitude-latitude. 1471.2 Both HERE and TomTom require API Keys obtained from developer accounts. Function here_live_traffic(boundingbox=[12.439259,79.271851,13.568572,80.351257]) has been implemented without testing and not invoked as HERE requires both API key and OAuth bearer tokens generated from heremaps OLP by commandline "$ olp credentials import default credentials.properties" - https://github.com/heremaps/homebrew-olp-cli (Installation of hearmaps OLP requires Homebrew at https://brew.sh/ - Auth error due to lack of token has been described in https://stackoverflow.com/questions/42424544/here-api-these-credentials-do-not-authorize-access-some-requests). Brew installation of heremaps OLP fails in XML DTD download and validation which is beyond the purview of NeuronRain preventing OAuth bearer token creation and QA of HERE implementation. 1471.3 Function tomtom_live_traffic(key,boundingbox=None,longlat=None) has been implemented as an alternative to HERE and issues calls to REST endpoints of TomTom for realtime traffic incidents within a longitude-latitude bounding box and traffic flow at a longitude-latitude. 1471.4 An example TomTom traffic incident JSON data for a bounding box and traffic flow for a location has been retrieved by REST calls at python-src/image_pattern_mining/ImageNet/testlogs/GISLiveTraffic.log.5January2024 which annotate roads by their incidents ("road works","road closed" etc.,) and traffic speed-travel time. 1471.5 This code segment complements Google live traffic ViteJS TypeScript GUI implementation in Section 1387.
K.Srinivasan
More... almost 3 years ago
Section 1470 updated
Srinivasan Kannan
More... almost 3 years ago
1470. (THEORY and FEATURE) Merit of Large Scale Visuals - Face Recognition - 3D Voronoi - 3 January 2024 - related to 1186,1203,1232,1233,1236 and all sections on Merit of Large Scale Visuals, Physique Recognition From Quadrilateral mesh isomorphism,Topological Face and Handwriting recognition, Archaeology-Topological Script Recognition, Product Homotopy, Unique identification, Homeomorphism and Topological Deformations, Merit of Large Scale Visuals, People Analytics, Computational Geometry, Graph Edit Distance and Earth mover distance, Graph Isomorphism (Exact, Approximate and Subgraph),Graph matching,Graph similarity,Image Search,Quadrilateral Mesh Deformation and Isomorphism,Maximum Common Subgraph Problem and Approximate Topological Matching,Astronomical Datasets
Srinivasan Kannan
More... almost 3 years ago
-------------------------------------------------------------------------------------------------------------------------------------------- 1470. (THEORY and FEATURE) Merit of Large Scale Visuals - Face Recognition - 3D Voronoi - 3 January 2024 - related to 1186,1203,1232,1233,1236 and all sections on Merit of Large Scale Visuals, Physique Recognition From Quadrilateral mesh isomorphism,Topological Face and Handwriting recognition, Archaeology-Topological Script Recognition, Product Homotopy, Unique identification, Homeomorphism and Topological Deformations, Merit of Large Scale Visuals, People Analytics, Computational Geometry, Graph Edit Distance and Earth mover distance, Graph Isomorphism (Exact, Approximate and Subgraph),Graph matching,Graph similarity,Image Search,Quadrilateral Mesh Deformation and Isomorphism,Maximum Common Subgraph Problem and Approximate Topological Matching,Astronomical Datasets -------------------------------------------------------------------------------------------------------------------------------------------- 1470.1 New python source file python-src/image_pattern_mining/ImageNet/3DVoronoi.py has been added to NeuronRain AstroInfer repositories which defines a utility function scipy_voronoi_3d(points) that invokes Scipy Spatial Voronoi implementation on set of points on 3 dimensions to obtain 3D Voronoi polygons. 1470.2 Polygons from Scipy Spatial Voronoi() are iterated and ridges of the polygons are appended to polygons array and plotted by add_subplot() in x-y-z axes by matplotlib 3D projection. 1470.3 NeuronRain implementation of Voronoi tessellation was restricted to only 2D till now which has been extended to 3D by this update. As described in section 1186.5, face recognition by 3D Voronoi tessellation could be more accurate in finding similar faces distorted by expressions - especially a topology oriented event increment dynamic 3D voronoi diagram algorithm on moving face landmarks in a video might capture the facial shear and distortions historically and might be able to predict them in future. Dynamic Voronoi Diagrams are applied in collision avoidance of moving unmanned vehicles. 1470.4 Source file 3DVoronoi.py at present implements only SciPy 3D Voronoi and there are multiple other 3D Voronoi alternatives possible (Voro++, Grasshopper being some of them) - Example 3D Voronoi (logs and diagram image - python-src/image_pattern_mining/ImageNet/testlogs/3DVoronoi.jpg and python-src/image_pattern_mining/ImageNet/testlogs/3DVoronoi.log.3January2024) for set of imaginary 3D points has been added to repositories.
Srinivasan Kannan
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Sectionn 1469 updated
K.Srinivasan
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Section 1463 updated
K.Srinivasan
More... almost 3 years ago
Section 1463 updated
Srinivasan Kannan
More... almost 3 years ago
+1469. (THEORY and FEATURE) Meaning Representation by Textgraphs - Integration of REBEL relation extraction transformers model Knowledge graph into Recursive Lambda Function Growth implementation - related to 2,249,707,829,1133,1134,1204,1263,1269,1284,1285,1405,1413,1455,1468 and all sections on Intrinsic Merit of Texts, Recursive Lambda Function Growth and Recursive Gloss Overlap textgraph algorithms, Question-Answering, Embedding in vectorspace, Machine Translation, Transformers Attention Model,Named Entity Recognition and Meaning Representation, Complexity models of Question-Answering (multiple choice,open-ended,adaptive and static) - LTF,PTF,Switching Circuits,TQBF,Markov Chains, Mildly Context Sensitive Grammars-Tree Adjoining Grammars for Natural Languages,Text restoration-Vowelless text (de)compression - 28 December 2023
Srinivasan Kannan
More... almost 3 years ago
-------------------------------------------------------------------------------------------------------------------------------------------- 1469. (THEORY and FEATURE) Meaning Representation by Textgraphs - Integration of REBEL relation extraction transformers model Knowledge graph into Recursive Lambda Function Growth implementation - related to 2,249,707,829,1133,1134,1204,1263,1269,1284,1285,1405,1413,1455,1468 and all sections on Intrinsic Merit of Texts, Recursive Lambda Function Growth and Recursive Gloss Overlap textgraph algorithms, Question-Answering, Embedding in vectorspace, Machine Translation, Transformers Attention Model,Named Entity Recognition and Meaning Representation, Complexity models of Question-Answering (multiple choice,open-ended,adaptive and static) - LTF,PTF,Switching Circuits,TQBF,Markov Chains, Mildly Context Sensitive Grammars-Tree Adjoining Grammars for Natural Languages,Text restoration-Vowelless text (de)compression - 28 December 2023 -------------------------------------------------------------------------------------------------------------------------------------------- 1469.1 Knowledge Graph implementation by REBEL relation extraction in 1468 has been invoked from Recursive Lambda Function Growth python script and lambda functions are inferred from KnowledgeGraph edges. 1469.2 python-src/KnowledgeGraph.dot knowledge graph has been recreated for a new example text. 1469.3 python-src/KnowledgeGraph.py has been updated to define 2 new functions create_REBEL_knowledge_graph() and lambda_functions_from_knowledge_graph(edgelabels) which respectively encapsulate (*) REBEL relation extraction boilerplate and knowledge graph creation and (*) translate triplet edges (x,Relation,y) of the REBEL knowledge graph into lambda functions of the form Relation(x,y) which is invoked by create_REBEL_knowledge_graph() 1469.4 python-src/RecursiveLambdaFunctionGrowth.py has been updated to import KnowledgeGraph.py and update grow_lambda_function3(self, text="None", level=3, textgraph=None, predict_word=False, fillintheblankstxt=None) to invoke KnowledgeGraph.create_REBEL_knowledge_graph(text) 1469.5 Logs testlogs/RecursiveLambdaFunctionGrowth.log.28December2023 show two kinds of Lambda functions grown by 2 algorithms for text: "Recent estimates of the economy of the Chennai metropolitan area (which includes the industrial zones) is over US$200 billion (PPP GDP), making it the third most productive metro area of India, and the third highest by GDP per capita. Previously, the metropolitan area didn't include the nearby industrial zones of Siruseri, Oragadam, and Sriperumbudur, due to which the economy of these regions didn't get included in the economy of Chennai. Now, post expansion of the Chennai metropolitan area in 2022, these regions are included ": 1469.5.1 Algorithm 1 - REBEL transformers Knowledge graph lambda functions: ['country(Chennai metropolitan area,India)'] 1469.5.2 Algorithm 2 - Recursive Lambda Function Growth WordNet subgraph lambda functions (Cycle composition and random walk composition): 1469.5.2.1 Cycle Composition Tree for this cycle : ('(Tamil(Indian,(Dravidian(inhabitant,(person(person_of_color,(Asian(organism,(Chennai(physical_entity,(municipality(urban_area,(administrative_district(city,(geographical_area(location,(physical_entity(object,(region(district,causal_agent))))))))))))))))))))', 8.35958203378112) 1469.5.2.2 maximum_per_random_walk_graph_tensor_neuron_network_intrinsic_merit= ('United_States((country(North_American_country,(district(location,(region(administrative_district,(physical_entity(democracy,(entity(social_group,(abstraction(group,(political_system(object,(democracy(social_group,(political_system(abstraction,(India(entity,(group(country,(district(administrative_district,(location(entity,(physical_entity(object,(region(Asian_country,entity)))))))))))))))))))))))))))))))', 10.880395095100978) 1469.6 As it might be obvious, Recursive Lambda Function Growth relation extraction from WordNet subgraph grows deeper relations and lambda functions (Cycle composition being more accurate than random walk composition). REBEL knowledge graph extraction is a supervised annotation requiring training data while Recursive Lambda Function Growth from WordNet-ConceptNet ontology is unsupervised (ConceptNet invocation has been commented)
Srinivasan Kannan
More... almost 3 years ago