Commit Graph

260 Commits (2ee0e3c50e95d58f37c31f092a7c6df983ed727e)

Author SHA1 Message Date
Aaron Huber 2ee0e3c50e Added more to the Intro; implemented almost all of Boris' suggestions 2020-11-17 15:38:04 -05:00
Boris Glavic 5af0132778 intro 2020-11-17 09:26:01 -06:00
Aaron Huber 9f2a1cc70c First draft of Introduction. 2020-11-16 12:10:35 -05:00
Aaron Huber e2bd3111f0 Added more to Introduction Outline 2020-11-12 10:39:33 -05:00
Aaron Huber 9350cdeb9b Updated the Introduction Outline 2020-11-12 09:15:00 -05:00
Aaron Huber 15e06595e7 Added the IntroOutline to the Repo 2020-11-11 15:45:38 -05:00
Aaron Huber d7c0677955 Changes to linear system derivation sec 2.6 2020-11-06 13:04:04 -05:00
Aaron Huber 073304e49b Added explicit detail to the proofs where eq(10) was propagated. 2020-11-05 10:38:21 -05:00
Aaron Huber 5391c0f3e5 Fixes to 2.6 in computing determinant. 2020-11-04 16:31:39 -05:00
Aaron Huber 30a9e6e754 Updated linear equations LS(G(^i)) in sec 2.6 2020-11-04 15:59:03 -05:00
Aaron Huber 740d3724af Fixed calculation errors on eq(20)-eq(23). 2020-11-02 23:05:03 -05:00
Aaron Huber 649e06c7da Fixed typo in eq(14) 2020-11-02 22:37:55 -05:00
Aaron Huber dd0dc0ea31 Propagation of the correct eq(10). 2020-11-02 12:59:17 -05:00
Aaron Huber e930f5ac36 General and sufficient analysis for BIDB approximation without reduction. 2020-10-02 11:46:31 -04:00
Aaron Huber c1f9d280be Bounding argument for bi approx alg. 2020-10-01 19:50:16 -04:00
Aaron Huber ebbaa0ecb9 Minor changes to sufficient condition for BIDB. 2020-10-01 15:45:16 -04:00
Aaron Huber 23528f8e1c More on 'safe' BIDB queries for alg 1. 2020-10-01 15:30:35 -04:00
Aaron Huber 4749bd3652 More work on 'safe' queries over BIDB 2020-10-01 14:38:40 -04:00
Aaron Huber f53e0bd69f Started algo 1 for BIDB 2020-09-30 10:24:24 -04:00
Aaron Huber eaba0b00af Finished BI-->Q(TI) reduction correctness proof, the general BI blow up, and sufficient condition for linear time approximation algorithm over BI reduction. 2020-09-25 10:17:14 -04:00
Aaron Huber 3932ca3040 Finished proof of BI --> Q(TI) reduction; finished analysis of approximating general BI. 2020-09-24 23:05:19 -04:00
Aaron Huber 05915da3ae Started proofs for BI --> TI reduction. 2020-09-23 17:20:36 -04:00
Aaron Huber c70afe6b18 Outline and more description of BI to TI + Q reduction 2020-09-23 13:37:09 -04:00
Aaron Huber 53641f74f2 Started description of converting BI to Q + TI 2020-09-22 17:01:14 -04:00
Aaron Huber 28a55bd126 Added claim and proof for |T|(1,...,1)/\tilde{Q}(p_1,...,p_n) being a constant for TIDB 2020-09-21 22:38:08 -04:00
Aaron Huber 30e4cbda62 Changes to eq. 10. 2020-09-18 12:03:53 -04:00
Aaron Huber c1192863ea Finished implementing Oliver's 091420 suggestions 2020-09-17 13:51:57 -04:00
Aaron Huber 0a19a6b852 More changes per Oliver 091420 pass. 2020-09-16 22:40:41 -04:00
Aaron Huber f5482e2770 In the middle of Oliver's 091420 suggestions 2020-09-16 16:27:50 -04:00
Aaron Huber 9b20a5f195 Small changes to tikz drawings. 2020-09-12 17:58:14 -04:00
Aaron Huber 84b7894b36 Comment added. 2020-09-12 14:27:01 -04:00
Aaron Huber 038eeeb76d Finished another iteration of Figure 2. 2020-09-12 14:25:15 -04:00
Aaron Huber c6ff46b193 More work on figure 2. 2020-09-11 21:48:28 -04:00
Aaron Huber 78d482067c Adjustments to subgraph patterns and to figures. 2020-09-11 16:40:00 -04:00
Aaron Huber 6a7f874152 Figure 1 completed. Started figure 2. 2020-09-10 22:14:25 -04:00
Aaron Huber c24180fbd7 Finished drawing subgraph patterns. Started first figure in Section 3 definitions. 2020-09-09 17:20:43 -04:00
Aaron Huber e655bf5c6a Added some pictures for single edge and two path patterns. 2020-09-09 12:11:05 -04:00
Aaron Huber e108c01fdd Finished changes @atri 090320 pass. 2020-09-08 12:05:51 -04:00
Aaron Huber 5a3eb6fc5c 5 1/2 pages through @atri 090320 pass. 2020-09-07 17:03:22 -04:00
Aaron Huber 0af0e48c97 Finished up to page 4 on 1st pass Atri 090320 pass. 2020-09-07 12:30:07 -04:00
Aaron Huber 770dcbe2e0 Finished page 2 of Atri 090220 pass. 2020-09-04 21:08:02 -04:00
Aaron Huber f8b4779759 More corrections up to Lemma 13. 2020-09-04 18:32:40 -04:00
Aaron Huber 3994dcb02a Started corrections Atri 090220 pass; Section 3 2020-09-04 12:12:07 -04:00
Aaron Huber 2f90777c0c Finished making changes from Oliver 08112020 pass. 2020-09-02 17:55:08 -04:00
Aaron Huber 71ea6031c4 Finished Section 3 Approximation Algorithm iteration 1. 2020-09-02 11:32:47 -04:00
Aaron Huber 240437f6c0 Finished Section 2 incorporating Oliver's 081120 comments. 2020-09-01 21:11:20 -04:00
Aaron Huber 483d856680 Added definitions to Section 2 per Oliver's request. 2020-09-01 19:01:33 -04:00
Aaron Huber 517554b667 Finished Section 3. 2020-09-01 14:39:50 -04:00
Aaron Huber 5b16810dab Finished run-time analysis for OnePass. 2020-08-31 16:28:45 -04:00
Aaron Huber d154da5a17 Finished argument for run-time analysis of SampleMonomial. 2020-08-31 11:33:15 -04:00