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Analyzed about 2 hours ago. based on code collected 1 day ago.
Nov 05, 2025 — Nov 05, 2026
Commit Message Contributor Files Modified Lines Added Lines Removed Code Location Date
Section 1552 updated
K.Srinivasan
More... about 2 years ago
Section 1552 updated
K.Srinivasan
More... about 2 years ago
Section 1552 updated
Srinivasan Kannan
More... about 2 years ago
Section 1552 updated
Srinivasan Kannan
More... about 2 years ago
Section 1548 updated
Srinivasan Kannan
More... about 2 years ago
Section 1548 updated
Srinivasan Kannan
More... about 2 years ago
Section 1548 updated
Srinivasan Kannan
More... about 2 years ago
Section 1548 updated
K.Srinivasan
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1552. (THEORY and FEATURE) OS Scheduling and Hashing Dynamic Sets - Worst Case Execution Time (WCET) estimation by Busy Beaver Function for Survival Index SCHED_DEADLINE WCET Timeout Scheduler - Number of all possible Turing machines or high level language programs - related to 629,751,1191,1217,1354,1357,1443,1459,1477 to all sections on Riemann Zeta Function, Set partitions, Computational geometry, Program analysis/Software analytics/Scheduler Analytics,Master Theorem - 13 September 2024
K.Srinivasan
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Section 1483 updated
Srinivasan Kannan
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Section 1548 updated
Srinivasan Kannan
More... about 2 years ago
Section 1217 updated
Srinivasan Kannan
More... about 2 years ago
Section 1548 updated
Srinivasan Kannan
More... about 2 years ago
Section 1548 updated
Srinivasan Kannan
More... about 2 years ago
Section 1548 updated
K.Srinivasan
More... about 2 years ago
Section 1548 updated
K.Srinivasan
More... about 2 years ago
Section 1548 updated
K.Srinivasan
More... about 2 years ago
Section 1217 updated
K.Srinivasan
More... about 2 years ago
1551. (JIRA,THEORY and FEATURE) Sequential Optimization to Computational Geoemetric Factorization - Finding all factors - Multiple Integer Greatest Common Divisor (GCD) implementation - changes for reading arbitrary number of integers from commandline input to Multiple GCD - related to 498,601,1226,1259,1303,1319,1321,1323,1324,1325,1355,1365,1366,1369,1379,1381,1384,1385,1401,1419,1454,1487,1525,1549 and all sections on Integer Factorization (DMRC MapReduce PySpark and NC HPC Rust implementations),Computational Geometry,Set Partitions-to-Tile Cover reduction by Lagranges Four Square Theorem and ILP,Primality Testing,RSA Semiprimes,Almost-Square Bounding Boxes in Large Scale Visual Recognition,Pell's Equation,Brahmagupta's Chakravala,Approximate Factoring by Newton-Raphson Rayshooting queries,Algebraic Geometry of Computational Geometric Factorization,Quantum computation and Derandomization of BQP Factorization by Condorcet Jury Theorem Majority-BQPVoterSAT boolean composition,Integer partitions,Diophantine representation - 6 September 2024
K.Srinivasan
More... about 2 years ago
-------------------------------------------------------------------------------------------------------------------------------- 1551. (JIRA,THEORY and FEATURE) Sequential Optimization to Computational Geoemetric Factorization - Finding all factors - Multiple Integer Greatest Common Divisor (GCD) implementation - changes for reading arbitrary number of integers from commandline input to Multiple GCD - related to 498,601,1226,1259,1303,1319,1321,1323,1324,1325,1355,1365,1366,1369,1379,1381,1384,1385,1401,1419,1454,1487,1525,1549 and all sections on Integer Factorization (DMRC MapReduce PySpark and NC HPC Rust implementations),Computational Geometry,Set Partitions-to-Tile Cover reduction by Lagranges Four Square Theorem and ILP,Primality Testing,RSA Semiprimes,Almost-Square Bounding Boxes in Large Scale Visual Recognition,Pell's Equation,Brahmagupta's Chakravala,Approximate Factoring by Newton-Raphson Rayshooting queries,Algebraic Geometry of Computational Geometric Factorization,Quantum computation and Derandomization of BQP Factorization by Condorcet Jury Theorem Majority-BQPVoterSAT boolean composition,Integer partitions,Diophantine representation - 6 September 2024 -------------------------------------------------------------------------------------------------------------------------------- 1551.1 cpp-src/greatest_common_divisor.cpp has been updated to read the list of integers from commandline for which greatest common divisor has to be found. The length of the list is arbitrary and hardcoded length and integer array have been removed. 1551.2 Number of integers (no_of_integers) in the list and list of integers are read by cin by allocating a long long array of dynamic size specified by no_of_integers. 1551.3 Function euclid_greatest_common_divisor_multiple(factors,no_of_integers) is invoked for 2 lists of integers of length 30 and 10 respectively : 1551.3.1 [30 15 5 20 25 45 35 65 55 115 1015 915 815 715 555 445 135 315 225 220 120 110 100 90 85 500 600 700 800 900 ] 1551.3.2 ["2151", "4649", "9", "1111111", "3", "13947", "3333333", "239", "717", "41841"] from python-src/DiscreteHyperbolicFactorizationUpperbound_TileSearch_Optimized.factors which are factors of 9999999 found by Computational Geometric Factorization Spark-Python implementation python-src/DiscreteHyperbolicFactorizationUpperbound_TileSearch_Optimized.py 1551.4 Logs for Multiple GCD found for earlier 2 lists of integers are in testlogs/greatest_common_divisor.MultipleGCD.log.6September2024 and testlogs/greatest_common_divisor.MultipleGCD.log2.6September2024 - Multiple GCDs are 5 and 1 respectively for 2 lists in 1551.3. 1551.5 This update resolves JIRA issue - https://krishnairesearch.atlassian.net/browse/NEUR-51
K.Srinivasan
More... about 2 years ago
Section 1550 updated
Srinivasan Kannan
More... about 2 years ago
Section 1550 updated
Srinivasan Kannan
More... about 2 years ago
1550. (THEORY and FEATURE) Nachiketas Formal LLM - WordNet Perplexity measure implementation - Changes to Wikipedia Question-Answering algorithm for better accuracy 9 - related to 2,249,707,829,1133,1134,1204,1263,1269,1284,1285,1405,1413,1455,1468,1469,1536,1537,1538,1539,1540,1541,1542,1543 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, Large Language Models, Mildly Context Sensitive Grammars-Tree Adjoining Grammars for Natural Languages,Text restoration-Vowelless text (de)compression - 4 September 2024
Srinivasan Kannan
More... about 2 years ago
-------------------------------------------------------------------------------------------------------------------------------------------- 1550. (THEORY and FEATURE) Nachiketas Formal LLM - WordNet Perplexity measure implementation - Changes to Wikipedia Question-Answering algorithm for better accuracy 9 - related to 2,249,707,829,1133,1134,1204,1263,1269,1284,1285,1405,1413,1455,1468,1469,1536,1537,1538,1539,1540,1541,1542,1543 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, Large Language Models, Mildly Context Sensitive Grammars-Tree Adjoining Grammars for Natural Languages,Text restoration-Vowelless text (de)compression - 4 September 2024 -------------------------------------------------------------------------------------------------------------------------------------------- 1550.1 python-src/NeuronRainApps/QuestionAnswering/QuestionAnswering.py has been updated to import NLTK wordnet module. 1550.2 New measure of sentence meaningfulness has been implemented by function wordnet_perplexity() which provides an unsupervised meaning quantification alternative based on WordNet similarity, to pyplexity perplexity scoring that depends on training data. Sentences synthesized are ranked by both pyplexity perplexity and WordNet perplexity measures. 1550.3 Function wordnet_perplexity(sentence) iterates through bigrams of words in a sentence left-to-right and computes Wu-Palmer WordNet Synset similarity for each bigram. WordNet Perplexity is computed by product of WordNet similarity of all bigrams in a sentence. 1550.4 WordNetPerplexity(w1,w2,w3,....,wn) = WNSimilarity(w1,w2) * WNSimilarity(w2,w3) * WNSimilarity(w3,w4) * .... * WNSimilarity(w(n-1),w(n)) for a sentence s = w1-w2-w3-....-wn containing words w1 to wn. Perplexity is defined in terms of product of wordnet similarity than sum of similarities to keep the perplexity fraction within or equal to 1. 1550.5 Question-Answering chatbot function WikipediaRLFGTransformersQuestionAnswering(question,wsheading=True,answerslice=0.01,bothvertices_intersection=False,sentence_type="textgraph_random_walk",number_of_words_per_sentence=50,std_sentence_PoS_dict={"NUM":[],"ADJ":[],"PROPN":[],"NOUN":[],"PUNCT":[],"AUX":[],"ADP":[],"ADV":[],"VERB":[],"DET":[],"PRON":[],"CCONJ":[],"SYM":[],"X":[]},number_of_cores_per_random_walk=3,number_of_random_walks=3,blanks=False) is invoked for 2 queries: 1550.5.1 Query 1 - "explain artificial intelligence" - excerpts from testlogs/QuestionAnswering.WordNetPerplexity.4September2024 - two phrases synthesized are ranked by pyplexity and wordnet perplexity and both approximately convey the meaning of artifical intelligence as "contrived nature": WordNet-ConceptNet TextGraph Random Walk - Bot generated answers ranked by pyplexity perplexity: OrderedDict([(32977.04490851676, 'artificial nature rather contrived'), (164800.35499356923, 'artificial art rather contrived')]) WordNet-ConceptNet TextGraph Random Walk - Bot generated answers ranked by wordnet perplexity: OrderedDict([(0.013333333333333336, 'artificial art rather contrived'), (0.020833333333333332, 'artificial nature rather contrived')]) 1550.5.2 Query 2 - "what is article 5 of NATO" - excerpts from testlogs/QuestionAnswering.WordNetPerplexity2.4September2024 - two phrases synthesized are ranked by pyplexity and wordnet perplexity - phrases synthesized are centered around Mason-Dixon demarcation line of Northern US states along atlantic coast: WordNet-ConceptNet TextGraph Random Walk - Bot generated answers ranked by pyplexity perplexity: OrderedDict([(17424.830700788632, '2nd Atlantic region - north lying'), (18522.477466941862, '2nd ocean region - north lying'), (19514.394729733514, '2nd north region - north lying'), (20068.28805326535, '2nd Atlantic region - east lying'), (20954.768851987643, '2nd Africa region - north lying'), (21332.454796813778, '2nd ocean region - east lying'), (21970.849801940458, '2nd west region - north lying'), ..... WordNet-ConceptNet TextGraph Random Walk - Bot generated answers ranked by wordnet perplexity: OrderedDict([(0.002403846153846154, '2nd America line - north lying'), (0.002976190476190476, '2nd Mason line - north lying'), (0.0032467532467532465, '2nd States line - north lying'), (0.0038461538461538464, '2nd Europe line - north lying'), (0.004524886877828055, '2nd America line - east lying'), (0.004629629629629629, '2nd west line - north lying'), (0.005128205128205128, '2nd America ocean - north lying'), .....
Srinivasan Kannan
More... about 2 years ago
Section 1548 updated
Srinivasan Kannan
More... about 2 years ago
1549. (THEORY and FEATURE) Sequential Optimization to Computational Geoemetric Factorization - Finding all factors - Primitive Multiple Integ er Greatest Common Divisor (GCD) implementation - Multiple Integer GCD finding by Computational Geometric Factorization - related to 498,601,1 226,1259,1303,1319,1321,1323,1324,1325,1355,1365,1366,1369,1379,1381,1384,1385,1401,1419,1454,1487,1525 and all sections on Integer Factorizat ion (DMRC MapReduce PySpark and NC HPC Rust implementations),Computational Geometry,Set Partitions-to-Tile Cover reduction by Lagranges Four S quare Theorem and ILP,Primality Testing,RSA Semiprimes,Almost-Square Bounding Boxes in Large Scale Visual Recognition,Pell's Equation,Brahmagu pta's Chakravala,Approximate Factoring by Newton-Raphson Rayshooting queries,Algebraic Geometry of Computational Geometric Factorization,Quant um computation and Derandomization of BQP Factorization by Condorcet Jury Theorem Majority-BQPVoterSAT boolean composition,Integer partitions, Diophantine representation - 3 September 202
Srinivasan Kannan
More... about 2 years ago
---------------------------------------------------------------------------------------------------------------------------------------------- 1549. (THEORY and FEATURE) Sequential Optimization to Computational Geoemetric Factorization - Finding all factors - Primitive Multiple Integer Greatest Common Divisor (GCD) implementation - Multiple Integer GCD finding by Computational Geometric Factorization - related to 498,601,1226,1259,1303,1319,1321,1323,1324,1325,1355,1365,1366,1369,1379,1381,1384,1385,1401,1419,1454,1487,1525 and all sections on Integer Factorization (DMRC MapReduce PySpark and NC HPC Rust implementations),Computational Geometry,Set Partitions-to-Tile Cover reduction by Lagranges Four Square Theorem and ILP,Primality Testing,RSA Semiprimes,Almost-Square Bounding Boxes in Large Scale Visual Recognition,Pell's Equation,Brahmagupta's Chakravala,Approximate Factoring by Newton-Raphson Rayshooting queries,Algebraic Geometry of Computational Geometric Factorization,Quantum computation and Derandomization of BQP Factorization by Condorcet Jury Theorem Majority-BQPVoterSAT boolean composition,Integer partitions,Diophantine representation - 3 September 2024 ---------------------------------------------------------------------------------------------------------------------------------------------- 1549.1 cpp-src/greatest_common_divisor.cpp C++ Greatest Common Divisor implementation has been updated to define a new function long long euclid_greatest_common_divisor_multiple(long long *factors,int number_of_factors) that generalizes 2 integer Euclid GCD algorithm to arbitrary list of integers quite similar to NumPy.gcd.reduce() function https://numpy.org/doc/stable/reference/generated/numpy.gcd.html python multiple GCD implementation. 1549.2 Earlier function reduces a list of integers {x1,x2,x3,...,xn} to a set of unique pairwise GCDs list {GCD(x1,x2),GCD(x2,x3),GCD(x3,x4),...,GCD(x(n-1),xn)} and then recursively calls euclid_greatest_common_divisor_multiple() and euclid_greatest_common() on the list bottom-up till single element is left which is the multiple integer GCD. In other words N integers are reduced to a GCD tree of depth logN with the root element containing the multiple GCD. This implementation is at present primitive and might cover almost all the possible scenarios and sometimes mere flat pairwise juxtaposed comparison (leaf level of tree) works without neccessity for bottom-up GCD tree computation. List of numbers and length of the list have been hardcoded for now: long long factors[]={99,18,63,27,36,45,72,54,90,117,108,81}; euclid_greatest_common_divisor_multiple(factors,12); 1549.3 Earlier less efficient tree GCD computation could be replaced by multiple integer computational geometric factorization: Instead of rasterizing just one hyperbolic arc for single integer, multiple hyperbolas could be rasterized on x-y plane by rectification which discretizes all hyperbolic arc bows. 1549.4 Pictorial illustration for simultaneous hyperbolic rasterization of 3 integers n1,n2,n3 embedded on x-y plane provides intuition for Parallel Multiple Integer GCD: --------- n1: |-------* | ------- |-------- --------- |-------* n2: | ------- |-------- --------- |-------* n3: | ------- |-------- 1549.5 Parallel RAM (or Multicore) Planar Factor Point Location algorithm loop (which is Brent theorem compliant) described in Sections 481,1454.5,1482.9,1486.3,1486.8,1525.5 could theoretically sweep the x-y plane from left-to-right and locate the factor points one after the other for all 3 integers simultaneously - First factor point that is closest to 45 degree line (y=x) common to all 3 integers is the GCD of n1,n2 and n3 (Marked by asterisks in 3 rasterized hyperbolic arcs). 1549.6 Complexity of multiple integer Greatest Common Divisor computational geometric algorithm described earlier could be O((logN1)^k) + O((logN2)^k) + O((logN3)^k) for 3 integers and if more parallelism is added (depending on number of integers in the list) by extra PRAMs-multicores runtime could be brought down to single polylogarithmic term. 1549.7 Logs testlogs/greatest_common_divisor.MultipleGCD.log.3September2024 show the GCD tree computation for list of factors [99,18,63,27,36,45,72,54,90,117,108,81] for a hypothetical integer in the last Recursive invocation: Multiple Greatest Common Divisor for list of factors:9 thereby finding another factor 9 common to all 12 integers.
Srinivasan Kannan
More... about 2 years ago
1548. (THEORY and FEATURE) GIS Weather Analytics and Climate Analytics - 3 September 2024 - N-Body gravitational acceleration and Barometric pressure analysis of date range 1 September 2024-31 October 2024 for Chennai location in NASA JPL Horizons API - related to 148,172,313,445,446,463,1165,1171,1176,1266,1289,1316,1318,1327,1358,1359,1360,1361,1364,1367,1368,1388,1404,1455,1456,1463,1479,1480,1515,1526,1527,1528 and all sections on Correlation between gravitational effects of Mined Celestial N-Body Patterns and terrestrial extreme weather events (or Gravitational effects on climate change), Drone natural obstacle avoidance-Drone autonomous online shopping delivery-Drone Electronic Voting Machine, Artificial Intelligence models for Climate Change-Adaptive Fourier Neural Operator-FourCastNet, Astronomical algorithms, Multifractals, Timeseries analysis, Sequence Mining-Class Association Rules
Srinivasan Kannan
More... about 2 years ago
---------------------------------------------------------------------------------------------------------------------------------------- 1548. (THEORY and FEATURE) GIS Weather Analytics and Climate Analytics - 3 September 2024 - N-Body gravitational acceleration and Barometric pressure analysis of date range 1 September 2024-31 October 2024 for Chennai location in NASA JPL Horizons API - related to 148,172,313,445,446,463,1165,1171,1176,1266,1289,1316,1318,1327,1358,1359,1360,1361,1364,1367,1368,1388,1404,1455,1456,1463,1479,1480,1515,1526,1527,1528 and all sections on Correlation between gravitational effects of Mined Celestial N-Body Patterns and terrestrial extreme weather events (or Gravitational effects on climate change), Drone natural obstacle avoidance-Drone autonomous online shopping delivery-Drone Electronic Voting Machine, Artificial Intelligence models for Climate Change-Adaptive Fourier Neural Operator-FourCastNet, Astronomical algorithms, Multifractals, Timeseries analysis, Sequence Mining-Class Association Rules ---------------------------------------------------------------------------------------------------------------------------------------- (Disclaimer: N-Body Gravitational Climate Model is based on variable gravity caused by solar system bodies which could affect equations of fluid dynamics and is still in experimental stages - Predictions made by this model are probabilistic) 1548.1 python-src/image_pattern_mining/ImageNet/GISWeatherAnalytics.py has been updated to analyze date range 1/9/2024 - 31/10/2024 for fluctuations in N-Body gravity with respect to 3-body system - Sun-Mercury-Venus - for angular separation of <= 30 degrees: climate_analytics(datasource="precipitation_GaussianMixture",predict_EWE_params={'datefrom':(2024,9,1,17,30,00),'dateto':(2024,10,31,17,30,00),'loc':'@0','bodyconjunctions':"Sun-Mercury-Venus",'angularsepbounds':('0d','30d'),'longlat':['223@399']},precipitation_timeseries={"timeseries":nem_rainfall_timeseries,"averageseasonalrainfall":100,'forecast_timeseries':[10,2,12,25,30,1,2,3,4,10]}) 1548.2 Following are the pairwise Barometric pressure and gravity plots for this date range spanning 61 days: testlogs/GISWeatherAnalytics.BarometricPressure.Chennai.Mercury-Venus.2024-9-1#2024-8-31.jpg testlogs/GISWeatherAnalytics.BarometricPressure.Chennai.Sun-Mercury.2024-9-1#2024-10-31.jpg testlogs/GISWeatherAnalytics.BarometricPressure.Chennai.Sun-Venus.2024-9-1#2024-10-31.jpg testlogs/GISWeatherAnalytics.Gravity.Mercury-Venus.2024-9-1#2024-10-31.jpg testlogs/GISWeatherAnalytics.Gravity.Sun-Mercury.2024-9-1#2024-10-31.jpg testlogs/GISWeatherAnalytics.Gravity.Sun-Venus.2024-9-1#2024-10-31.jpg 1548.3 Logs testlogs/GISWeatherAnalytics.log.2September2024 and earlier graphical plots show steep increase in Mercury's gravitational pull during first 10 days of September 2024 (and corresponding decline in Barometric pressure) which gradually weakens till end of October 2024 (and corresponding increase in Barometric pressure). This sinusoidal change in gravity could accordingly initiate a domino effect on all equations that exponentially depend on gravitational constant including meteorological and seismic which might lead to gravity induced cooling and low pressure systems corresponding to above date ranges with high probability (and a lag in dates possibly, as the gravity variation might require few days to exert its influence on climate). 1548.4 Mercury-Venus < 30 degrees angular separation date range grepped from logs shows 3/10/2024-30/10/2024 to be an active rainfall period as per Brihat Samhita Verse referred to in 1358.4 and NOAA HURDAT2 Sequence Mined Class Association Rule 13 - Mercury+Venus in Section 172. Mercury-Venus angular separation gradually narrows in October 2024 and Gravity L2 norm of Mercury rises from 1/9/2024 upto 10/9/2024 and tapering off thereafter till 24/10/2024 implying climate changes in both September 2024 and October 2024: ------------------------------------------------------------------------------------------------------------------------------------- grep "Angular separations for Mercury-Venus" testlogs/GISWeatherAnalytics.log.2September2024 ------------------------------------------------------------------------------------------------------------------------------------- SkyField separation_from(): Angular separations for Mercury-Venus : [(<Angle 29deg 46' 11.5">, ('2024', '10', '03', '17', '30', '00.000'))] ..... SkyField separation_from(): Angular separations for Mercury-Venus : [(<Angle 19deg 54' 23.5">, ('2024', '10', '30', '17', '30', '00.000'))] -------------------------------------------------------------------------------------------------------- grep "Gravity L2 Norm of Mercury" testlogs/GISWeatherAnalytics.log.2September2024 -------------------------------------------------------------------------------------------------------- Gravity L2 Norm of Mercury on 2024-09-01 17:30:00.000 : 0.05471567332523496 ....... Gravity L2 Norm of Mercury on 2024-09-10 17:30:00.000 : 0.06272387238148128 ....... Gravity L2 Norm of Mercury on 2024-10-24 17:30:00.000 : 0.027233292625174887 ....... Gravity L2 Norm of Mercury on 2024-10-30 17:30:00.000 : 0.027899906185489574
Srinivasan Kannan
More... about 2 years ago
Section 1547 updated
Srinivasan Kannan
More... about 2 years ago