premise string | hypothesis string | label int64 |
|---|---|---|
| Item | MinimalSpec. | RecommendedSpec. |
| --- | --- | --- |
| OSVersion | Android4.2oriOS9 | N/A | | | CPU | Dual-core@1.2GHz | Quad-core@2.4GHz |
| --- | --- | --- |
| Camera | 3MP | 12MP |
| Driver | RawPixelData | Exposurecontrol | | 1 |
| Item | MinimalSpec. | RecommendedSpec. |
| --- | --- | --- |
| OSVersion | Android4.2oriOS9 | N/A | | | | DELLOPTIPLEX | Nexus7 |
| --- | --- | --- |
| Model | DELLOPTIPLEX8010 | Nexus7(2013) |
| OS | Windows7Professional | Android4.4.4 |
| CPU | IntelCorei7-37703.4GHz | Krait1.50GHz |
| RAM | 16GB | 2GB | | 0 |
| Item | MinimalSpec. | RecommendedSpec. |
| --- | --- | --- |
| OSVersion | Android4.2oriOS9 | N/A |
| CPU | Dual-core@1.2GHz | Quad-core@2.4GHz | | | Camera | 3MP | 12MP |
| --- | --- | --- |
| Driver | RawPixelData | Exposurecontrol | | 1 |
| Item | MinimalSpec. | RecommendedSpec. |
| --- | --- | --- |
| OSVersion | Android4.2oriOS9 | N/A |
| CPU | Dual-core@1.2GHz | Quad-core@2.4GHz | | | OS | Windows7Professional | Android4.4.4 |
| --- | --- | --- |
| CPU | IntelCorei7-37703.4GHz | Krait1.50GHz |
| RAM | 16GB | 2GB | | 0 |
| | | | | | |
| --- | --- | --- | --- | --- | --- |
| Sourcetype | Multi-source | Multi-source | Multi-source | Singlesource | Multi-source | | | Flowtype | Unicast | Unicast | Unicast | Multicast | Multicast |
| --- | --- | --- | --- | --- | --- |
| Solutiontype | Centralized | Distributed | Centralized | Distributed | Distributed |
| Relayingtype | SF | SF | Networkcoding | Networkcoding | SF | | 1 |
| | | | | | |
| --- | --- | --- | --- | --- | --- |
| Sourcetype | Multi-source | Multi-source | Multi-source | Singlesource | Multi-source | | | Network | Type | \|V\| | \|E\| | diameter | radius | δ4−point |
| --- | --- | --- | --- | --- | --- | --- |
| sprintlink-1239 | RocketfuelISPnetwork | 8341 | 14025 | 13 | 7 | 3 |
| p2p-gnutella25 | peer-to-peernetwork | 22663 | 54693 | 11 | 7 | 3 |
| sn-medium | socialnetwork | 26567 | 226566 | 14 | 7 | 4 |
| web-stanford | webnetwork | 255265 | 1941926 | 164 | 82 | 1.5(est.) | | 0 |
| | | | | | |
| --- | --- | --- | --- | --- | --- |
| Sourcetype | Multi-source | Multi-source | Multi-source | Singlesource | Multi-source | | | Flowtype | Unicast | Unicast | Unicast | Multicast | Multicast |
| --- | --- | --- | --- | --- | --- |
| Solutiontype | Centralized | Distributed | Centralized | Distributed | Distributed |
| Relayingtype | SF | SF | Networkcoding | Networkcoding | SF | | 1 |
| | | | | | |
| --- | --- | --- | --- | --- | --- |
| Sourcetype | Multi-source | Multi-source | Multi-source | Singlesource | Multi-source | | | p2p-gnutella25 | peer-to-peernetwork | 22663 | 54693 | 11 | 7 | 3 |
| --- | --- | --- | --- | --- | --- | --- |
| sn-medium | socialnetwork | 26567 | 226566 | 14 | 7 | 4 |
| web-stanford | webnetwork | 255265 | 1941926 | 164 | 82 | 1.5(est.) | | 0 |
| numberofhiddenneuronsperplexityinperplexityin |
| --- |
| 25638– | | | 512–54 |
| --- |
| 102427– |
| 2048–44 |
| 4096–– |
| 8192–30<br>24.2(ensemble) | | 1 |
| numberofhiddenneuronsperplexityinperplexityin |
| --- |
| 25638– | | | 3<br>10Modularreductions | GoogleNexus7 |
| --- | --- |
| Classical | 546 |
| Barrett | 579 |
| FirstMethod | 569 |
| SecondMethod | 860 | | 0 |
| numberofhiddenneuronsperplexityinperplexityin |
| --- |
| 25638– |
| 512–54 | | | 102427– |
| --- |
| 2048–44 |
| 4096–– |
| 8192–30<br>24.2(ensemble) | | 1 |
| numberofhiddenneuronsperplexityinperplexityin |
| --- |
| 25638– |
| 512–54 | | | FirstMethod | 569 |
| --- | --- |
| SecondMethod | 860 | | 0 |
| Algorithm | Wordrecognitionrate |
| --- | --- |
| Humansegmentation(Preprocessed) | 89.3 |
| Humansegmentation | 69.8 | | | Weinmannet.al(withlexicon) | 86.1 |
| --- | --- |
| Weinmannet.al(withoutlexicon) | 79.1 | | 1 |
| Algorithm | Wordrecognitionrate |
| --- | --- |
| Humansegmentation(Preprocessed) | 89.3 |
| Humansegmentation | 69.8 | | | Algorithm | Wordrecognitionrate |
| --- | --- |
| Humansegmentation(Preprocessed) | 79.6 |
| Humansegmentation | 74.8 |
| Mishraet.al | 73.3 |
| Wanget.al | 56.0 |
| Abbyyreader | 47.7 | | 0 |
| Algorithm | Wordrecognitionrate |
| --- | --- |
| Humansegmentation(Preprocessed) | 89.3 |
| Humansegmentation | 69.8 | | | Weinmannet.al(withlexicon) | 86.1 |
| --- | --- |
| Weinmannet.al(withoutlexicon) | 79.1 | | 1 |
| Algorithm | Wordrecognitionrate |
| --- | --- |
| Humansegmentation(Preprocessed) | 89.3 |
| Humansegmentation | 69.8 | | | Humansegmentation | 74.8 |
| --- | --- |
| Mishraet.al | 73.3 |
| Wanget.al | 56.0 |
| Abbyyreader | 47.7 | | 0 |
| Name | #ClsSbp | OrigT | SbpT |
| --- | --- | --- | --- |
| hamming10-2<br>hamming10-4<br>hamming6-4<br>hamming8-2<br>hamming8-4 | 81<br>1<br>437<br>85<br>253 | 1000<br>886.57<br>0.17<br>1000<br>0.36 | 0.19<br>496.79<br>0.15<br>0.21<br>0.11 |
| MANNa27<br>MANNa45<br>MANNa81 | 85<br>79<br>79 | 1000<br>1000<br>1000 | 0.24<br>0.20<br>0.19 | | | hole10<br>hole11<br>hole12<br>hole7<br>hole8<br>hole9 | 758<br>922<br>1102<br>362<br>478<br>610 | 42.11<br>510.90<br>1000<br>0.10<br>0.40<br>3.68 | 0.24<br>0.47<br>1.78<br>0.11<br>0.13<br>0.17 |
| --- | --- | --- | --- |
| Urq35<br>Urq45 | 29<br>43 | 83.33<br>1000 | 0.27<br>50.88 |
| chnl1011<br>chnl1012<br>chnl1112 | 1954<br>2142<br>2370 | 1000<br>1000<br>1000 | 41.79<br>328.12<br>420.19 | | 1 |
| Name | #ClsSbp | OrigT | SbpT |
| --- | --- | --- | --- |
| hamming10-2<br>hamming10-4<br>hamming6-4<br>hamming8-2<br>hamming8-4 | 81<br>1<br>437<br>85<br>253 | 1000<br>886.57<br>0.17<br>1000<br>0.36 | 0.19<br>496.79<br>0.15<br>0.21<br>0.11 |
| MANNa27<br>MANNa45<br>MANNa81 | 85<br>79<br>79 | 1000<br>1000<br>1000 | 0.24<br>0.20<br>0.19 | | | Name | MStype | #ClsSbp | OrigT | SbpT |
| --- | --- | --- | --- | --- |
| ii32e3<br>ii32e4 | PMS<br>PMS | 1756<br>2060 | 94.40<br>175.07 | 37.63<br>129.06 |
| c-fat500-10<br>c-fat500-1<br>c-fat500-2<br>c-fat500-5 | WMS<br>WMS<br>WMS<br>WMS | 2<br>112<br>12<br>4 | 57.79<br>0.03<br>0.16<br>0.16 | 11.62<br>0.06<br>0.11<br>0.11 |
| MANNa27<br>MANNa45<br>MANNa81 | WMS<br>WMS<br>WMS | 1<br>1<br>1 | 1000<br>1000<br>1000 | 880.58<br>530.86<br>649.13 |
| 1502.dir<br>29.dir<br>54.dir<br>8.dir | WPMS<br>WPMS<br>WPMS<br>WPMS | 1560<br>132<br>98<br>58 | 0.34<br>1000<br>4.14<br>0.03 | 10.67<br>28.09<br>0.32<br>0.05 |
| 1502.log<br>29.log<br>404.log<br>54.log | WPMS<br>WPMS<br>WPMS<br>WPMS | 812<br>54<br>124<br>48 | 0.76<br>17.55<br>1000<br>2.37 | 0.71<br>0.82<br>64.24<br>0.16 | | 0 |
| Name | #ClsSbp | OrigT | SbpT |
| --- | --- | --- | --- |
| hamming10-2<br>hamming10-4<br>hamming6-4<br>hamming8-2<br>hamming8-4 | 81<br>1<br>437<br>85<br>253 | 1000<br>886.57<br>0.17<br>1000<br>0.36 | 0.19<br>496.79<br>0.15<br>0.21<br>0.11 | | | MANNa27<br>MANNa45<br>MANNa81 | 85<br>79<br>79 | 1000<br>1000<br>1000 | 0.24<br>0.20<br>0.19 |
| --- | --- | --- | --- |
| hole10<br>hole11<br>hole12<br>hole7<br>hole8<br>hole9 | 758<br>922<br>1102<br>362<br>478<br>610 | 42.11<br>510.90<br>1000<br>0.10<br>0.40<br>3.68 | 0.24<br>0.47<br>1.78<br>0.11<br>0.13<br>0.17 |
| Urq35<br>Urq45 | 29<br>43 | 83.33<br>1000 | 0.27<br>50.88 |
| chnl1011<br>chnl1012<br>chnl1112 | 1954<br>2142<br>2370 | 1000<br>1000<br>1000 | 41.79<br>328.12<br>420.19 | | 1 |
| Name | #ClsSbp | OrigT | SbpT |
| --- | --- | --- | --- |
| hamming10-2<br>hamming10-4<br>hamming6-4<br>hamming8-2<br>hamming8-4 | 81<br>1<br>437<br>85<br>253 | 1000<br>886.57<br>0.17<br>1000<br>0.36 | 0.19<br>496.79<br>0.15<br>0.21<br>0.11 | | | 1502.dir<br>29.dir<br>54.dir<br>8.dir | WPMS<br>WPMS<br>WPMS<br>WPMS | 1560<br>132<br>98<br>58 | 0.34<br>1000<br>4.14<br>0.03 | 10.67<br>28.09<br>0.32<br>0.05 |
| --- | --- | --- | --- | --- |
| 1502.log<br>29.log<br>404.log<br>54.log | WPMS<br>WPMS<br>WPMS<br>WPMS | 812<br>54<br>124<br>48 | 0.76<br>17.55<br>1000<br>2.37 | 0.71<br>0.82<br>64.24<br>0.16 | | 0 |
| i | N | A | p1 | p2 |
| --- | --- | --- | --- | --- |
| 1 | 11 | Animals | Cat | Dog |
| 2 | 9 | Humans | Man | Woman |
| 3 | 8 | ExpressionsofEmotion | Laugh | Cry |
| 4 | 7 | ExpressionsofAffection | Kiss | Hug |
| 5 | 11 | Moods | Happy | Sad | | | 6 | 8 | PartsofFace | Nose | Chin |
| --- | --- | --- | --- | --- |
| 7 | 9 | Movements | Step | Run |
| 8 | 11 | Animals | Whale | Condor |
| 9 | 9 | Humans | Child | Elder |
| 10 | 8 | ExpressionsofEmotion | Sigh | Moan |
| 11 | 7 | ExpressionsofAffection | Caress | Present |
| 12 | 11 | Moods | Thoughtful | Bored |
| 13 | 8 | PartsofFace | Eye | Cheek |
| 14 | 9 | Movements | Jump | Crawl | | 1 |
| i | N | A | p1 | p2 |
| --- | --- | --- | --- | --- |
| 1 | 11 | Animals | Cat | Dog |
| 2 | 9 | Humans | Man | Woman |
| 3 | 8 | ExpressionsofEmotion | Laugh | Cry |
| 4 | 7 | ExpressionsofAffection | Kiss | Hug |
| 5 | 11 | Moods | Happy | Sad | | | i | N | A | p1 | p2 |
| --- | --- | --- | --- | --- |
| 1 | 11 | Animals | Cat | Dog |
| 2 | 9 | Humans | Man | Woman |
| 3 | 8 | ExpressionsofEmotion | Laugh | Cry |
| 4 | 7 | ExpressionsofAffection | Kiss | Hug |
| 5 | 11 | Moods | Happy | Sad |
| 6 | 8 | PartsofFace | Nose | Chin |
| 7 | 9 | Movements | Step | Run |
| 8 | 11 | Animals | Whale | Condor |
| 9 | 9 | Humans | Child | Elder |
| 10 | 8 | ExpressionsofEmotion | Sigh | Moan |
| 11 | 7 | ExpressionsofAffection | Caress | Present |
| 12 | 11 | Moods | Thoughtful | Bored |
| 13 | 8 | PartsofFace | Eye | Cheek |
| 14 | 9 | Movements | Jump | Crawl | | 0 |
| i | N | A | p1 | p2 |
| --- | --- | --- | --- | --- |
| 1 | 11 | Animals | Cat | Dog |
| 2 | 9 | Humans | Man | Woman |
| 3 | 8 | ExpressionsofEmotion | Laugh | Cry |
| 4 | 7 | ExpressionsofAffection | Kiss | Hug |
| 5 | 11 | Moods | Happy | Sad |
| 6 | 8 | PartsofFace | Nose | Chin |
| 7 | 9 | Movements | Step | Run |
| 8 | 11 | Animals | Whale | Condor |
| 9 | 9 | Humans | Child | Elder |
| 10 | 8 | ExpressionsofEmotion | Sigh | Moan |
| 11 | 7 | ExpressionsofAffection | Caress | Present |
| 12 | 11 | Moods | Thoughtful | Bored | | | 13 | 8 | PartsofFace | Eye | Cheek |
| --- | --- | --- | --- | --- |
| 14 | 9 | Movements | Jump | Crawl | | 1 |
| i | N | A | p1 | p2 |
| --- | --- | --- | --- | --- |
| 1 | 11 | Animals | Cat | Dog |
| 2 | 9 | Humans | Man | Woman |
| 3 | 8 | ExpressionsofEmotion | Laugh | Cry |
| 4 | 7 | ExpressionsofAffection | Kiss | Hug |
| 5 | 11 | Moods | Happy | Sad |
| 6 | 8 | PartsofFace | Nose | Chin |
| 7 | 9 | Movements | Step | Run |
| 8 | 11 | Animals | Whale | Condor |
| 9 | 9 | Humans | Child | Elder |
| 10 | 8 | ExpressionsofEmotion | Sigh | Moan |
| 11 | 7 | ExpressionsofAffection | Caress | Present |
| 12 | 11 | Moods | Thoughtful | Bored | | | 3 | 8 | ExpressionsofEmotion | Laugh | Cry |
| --- | --- | --- | --- | --- |
| 4 | 7 | ExpressionsofAffection | Kiss | Hug |
| 5 | 11 | Moods | Happy | Sad |
| 6 | 8 | PartsofFace | Nose | Chin |
| 7 | 9 | Movements | Step | Run |
| 8 | 11 | Animals | Whale | Condor |
| 9 | 9 | Humans | Child | Elder |
| 10 | 8 | ExpressionsofEmotion | Sigh | Moan |
| 11 | 7 | ExpressionsofAffection | Caress | Present |
| 12 | 11 | Moods | Thoughtful | Bored |
| 13 | 8 | PartsofFace | Eye | Cheek |
| 14 | 9 | Movements | Jump | Crawl | | 0 |
| Notation | Meaning |
| --- | --- |
| n,m,k | numberofskills,individuals,tasks | | | ∆ | thesizeofthelargestminimalteam |
| --- | --- |
| Cti | thei-thteamthatcoverstaskt |
| µ | approximationratioofproblem |
| x | (approximate)solutionofprimalLP |
| N(C)ti | C’sadjacentteamsti |
| Ct | setofteamsthatcovertaskt |
| C | C={C,···,C}1k |
| C | setofteamsontasktcorrespondingtotheseparatinghyper-planes |
| C | C={C,···,C} |
| C | setofinputteamsofLProunding | | 1 |
| Notation | Meaning |
| --- | --- |
| n,m,k | numberofskills,individuals,tasks | | | n | granularityofspacedecomposition |
| --- | --- |
| k | numberofnearestneighbors |
| d | dimensionality |
| D | ad-dimensionalmetricspace |
| dist(r,s) | thedistancefromrtos |
| kNN(r,S) | theknearestneighborsofrfromS |
| AkNNC(R,S) | ∀r∈RclassifyrbasedonkNN(r,S) |
| ICCH | interval,cellcubeorhypercube |
| ICSH | interval,circle,sphereorhypersphere |
| I | inputdataset |
| T | trainingdataset |
| cr | theclassofpointr |
| CT | thesetofclassesofdatasetT |
| SI | sizeofinputdataset |
| ST | sizeoftrainingdataset |
| M | totalnumberofMaptasks |
| R | totalnumberofReducetasks | | 0 |
| Notation | Meaning |
| --- | --- |
| n,m,k | numberofskills,individuals,tasks |
| ∆ | thesizeofthelargestminimalteam |
| Cti | thei-thteamthatcoverstaskt |
| µ | approximationratioofproblem |
| x | (approximate)solutionofprimalLP |
| N(C)ti | C’sadjacentteamsti | | | Ct | setofteamsthatcovertaskt |
| --- | --- |
| C | C={C,···,C}1k |
| C | setofteamsontasktcorrespondingtotheseparatinghyper-planes |
| C | C={C,···,C} |
| C | setofinputteamsofLProunding | | 1 |
| Notation | Meaning |
| --- | --- |
| n,m,k | numberofskills,individuals,tasks |
| ∆ | thesizeofthelargestminimalteam |
| Cti | thei-thteamthatcoverstaskt |
| µ | approximationratioofproblem |
| x | (approximate)solutionofprimalLP |
| N(C)ti | C’sadjacentteamsti | | | ST | sizeoftrainingdataset |
| --- | --- |
| M | totalnumberofMaptasks |
| R | totalnumberofReducetasks | | 0 |
| YTO | | | | |
| --- | --- | --- | --- | --- |
| Y | A→Y | V→Y | V | A→V |
| 40.6 | 40.8 | 45.8 | 57.5 | 58.1 |
| 39.8 | 40.3 | 38.8 | 29.8 | 30.5 |
| 33.3 | 33.4 | 38.8 | 28.0 | 27.9 |
| 34.1 | 33.9 | 33.6 | 39.1 | 39.1 |
| 35.3 | 35.3 | 38.8 | 59.0 | 59.3 |
| 18.9 | 19.0 | 27.7 | 36.7 | 36.9 | | | 27.0 | 27.1 | 26.7 | 46.5 | 47.4 |
| --- | --- | --- | --- | --- |
| 21.9 | 22.1 | 26.1 | 53.2 | 53.5 |
| 17.6 | 17.9 | 17.5 | 55.6 | 55.2 |
| 32.6 | 32.6 | 36.2 | 54.7 | 54.5 |
| 30.1 | 30.2 | 33.0 | 46.0 | 46.2 | | 1 |
| YTO | | | | |
| --- | --- | --- | --- | --- |
| Y | A→Y | V→Y | V | A→V |
| 40.6 | 40.8 | 45.8 | 57.5 | 58.1 |
| 39.8 | 40.3 | 38.8 | 29.8 | 30.5 |
| 33.3 | 33.4 | 38.8 | 28.0 | 27.9 |
| 34.1 | 33.9 | 33.6 | 39.1 | 39.1 |
| 35.3 | 35.3 | 38.8 | 59.0 | 59.3 |
| 18.9 | 19.0 | 27.7 | 36.7 | 36.9 | | | V3 | V2 | V1 |
| --- | --- | --- |
| 54.5 | - | - |
| 76.0 | - | - |
| 74.2 | - | - |
| 78.5 | 83.5 | 79.3 |
| 92.6 | - | - |
| 87.5 | 84.1 | 70.9 |
| 90.7 | 87.5 | 74.0 |
| 93.3 | 85.9 | 77.9 |
| 93.8 | 86.3 | 79.7 |
| 95.3 | 88.7 | 80.2 | | 0 |
| YTO | | | | |
| --- | --- | --- | --- | --- |
| Y | A→Y | V→Y | V | A→V |
| 40.6 | 40.8 | 45.8 | 57.5 | 58.1 |
| 39.8 | 40.3 | 38.8 | 29.8 | 30.5 |
| 33.3 | 33.4 | 38.8 | 28.0 | 27.9 |
| 34.1 | 33.9 | 33.6 | 39.1 | 39.1 | | | 35.3 | 35.3 | 38.8 | 59.0 | 59.3 |
| --- | --- | --- | --- | --- |
| 18.9 | 19.0 | 27.7 | 36.7 | 36.9 |
| 27.0 | 27.1 | 26.7 | 46.5 | 47.4 |
| 21.9 | 22.1 | 26.1 | 53.2 | 53.5 |
| 17.6 | 17.9 | 17.5 | 55.6 | 55.2 |
| 32.6 | 32.6 | 36.2 | 54.7 | 54.5 |
| 30.1 | 30.2 | 33.0 | 46.0 | 46.2 | | 1 |
| YTO | | | | |
| --- | --- | --- | --- | --- |
| Y | A→Y | V→Y | V | A→V |
| 40.6 | 40.8 | 45.8 | 57.5 | 58.1 |
| 39.8 | 40.3 | 38.8 | 29.8 | 30.5 |
| 33.3 | 33.4 | 38.8 | 28.0 | 27.9 |
| 34.1 | 33.9 | 33.6 | 39.1 | 39.1 | | | 74.2 | - | - |
| --- | --- | --- |
| 78.5 | 83.5 | 79.3 |
| 92.6 | - | - |
| 87.5 | 84.1 | 70.9 |
| 90.7 | 87.5 | 74.0 |
| 93.3 | 85.9 | 77.9 |
| 93.8 | 86.3 | 79.7 |
| 95.3 | 88.7 | 80.2 | | 0 |
| CITY | FIT | GRID |
| --- | --- | --- |
| 11,3 | 8,2 | 14,3 |
| 27,7 | 10,3 | 11,3 | | | 7,2 | 7,2 | N/A |
| --- | --- | --- |
| 10,3 | 9,3 | N/A | | 1 |
| CITY | FIT | GRID |
| --- | --- | --- |
| 11,3 | 8,2 | 14,3 |
| 27,7 | 10,3 | 11,3 | | | 1 | 2 | 3 | 4 | 5 | 4 | 5 | 6 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 9 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
| 17 | 16 | 17 | 15 | 16 | 17 | 18 | 19 |
| 20 | 21 | 22 | 23 | 24 | 25 | 24 | 25 |
| 28 | 29 | 28 | 29 | 30 | 31 | 32 | 1 | | 0 |
| CITY | FIT | GRID |
| --- | --- | --- |
| 11,3 | 8,2 | 14,3 | | | 27,7 | 10,3 | 11,3 |
| --- | --- | --- |
| 7,2 | 7,2 | N/A |
| 10,3 | 9,3 | N/A | | 1 |
| CITY | FIT | GRID |
| --- | --- | --- |
| 11,3 | 8,2 | 14,3 | | | 20 | 21 | 22 | 23 | 24 | 25 | 24 | 25 |
| --- | --- | --- | --- | --- | --- | --- | --- |
| 28 | 29 | 28 | 29 | 30 | 31 | 32 | 1 | | 0 |
| TestSequences | Alietal. | Biswasetal. | Proposed |
| --- | --- | --- | --- |
| Sequence1 | 0.63 | 0.60 | 0.90 |
| Sequence2 | 0.28 | 0.67 | 0.66 |
| Sequence3 | 0.57 | 0.74 | 0.75 |
| Sequence4 | 0.67 | 0.68 | 0.68 | | | Sequence5 | 0.78 | 0.24 | 0.46 |
| --- | --- | --- | --- |
| Sequence6 | 0.41 | 0.62 | 0.81 |
| Sequence7 | 0.60 | 0.15 | 0.53 | | 1 |
| TestSequences | Alietal. | Biswasetal. | Proposed |
| --- | --- | --- | --- |
| Sequence1 | 0.63 | 0.60 | 0.90 |
| Sequence2 | 0.28 | 0.67 | 0.66 |
| Sequence3 | 0.57 | 0.74 | 0.75 |
| Sequence4 | 0.67 | 0.68 | 0.68 | | | VideoSequences | Biswasetal. | Proposed |
| --- | --- | --- |
| Sequence1 | 4.96 | 0.20 |
| Sequence2 | 5.08 | 0.31 |
| Sequence3 | 4.66 | 0.23 |
| Sequence4 | 4.49 | 0.33 |
| Sequence5 | 4.32 | 0.08 |
| Sequence6 | 5.32 | 0.31 |
| Sequence7 | 4.95 | 0.38 | | 0 |
| TestSequences | Alietal. | Biswasetal. | Proposed |
| --- | --- | --- | --- |
| Sequence1 | 0.63 | 0.60 | 0.90 |
| Sequence2 | 0.28 | 0.67 | 0.66 |
| Sequence3 | 0.57 | 0.74 | 0.75 |
| Sequence4 | 0.67 | 0.68 | 0.68 |
| Sequence5 | 0.78 | 0.24 | 0.46 | | | Sequence6 | 0.41 | 0.62 | 0.81 |
| --- | --- | --- | --- |
| Sequence7 | 0.60 | 0.15 | 0.53 | | 1 |
| TestSequences | Alietal. | Biswasetal. | Proposed |
| --- | --- | --- | --- |
| Sequence1 | 0.63 | 0.60 | 0.90 |
| Sequence2 | 0.28 | 0.67 | 0.66 |
| Sequence3 | 0.57 | 0.74 | 0.75 |
| Sequence4 | 0.67 | 0.68 | 0.68 |
| Sequence5 | 0.78 | 0.24 | 0.46 | | | Sequence4 | 4.49 | 0.33 |
| --- | --- | --- |
| Sequence5 | 4.32 | 0.08 |
| Sequence6 | 5.32 | 0.31 |
| Sequence7 | 4.95 | 0.38 | | 0 |
| 3DModel | Size | Qhull | Ourimplementation | Speedup |
| --- | --- | --- | --- | --- |
| Mode1 | Mode2 | Mode1 | Mode2 | | | | Armadillo | 172K | 16 | 47.5 | 61.7 | 0.34 | 0.26 |
| --- | --- | --- | --- | --- | --- | --- |
| Angel | 237K | 47 | 50.5 | 62.6 | 0.93 | 0.75 |
| SkeletonHand | 327K | 32 | 49.5 | 61.8 | 0.65 | 0.52 |
| Dragon | 437K | 62 | 55.9 | 67.4 | 1.11 | 0.92 |
| HappyBuddha | 543K | 63 | 56.8 | 76.7 | 1.11 | 0.82 |
| TurbineBlade | 882K | 125 | 64.3 | 72.3 | 1.94 | 1.73 |
| VellumManuscript | 2M | 219 | 63.2 | 91.5 | 3.47 | 2.39 |
| AsianDragon | 3M | 359 | 78.4 | 129.8 | 4.58 | 2.77 |
| ThaiStatue | 5M | 515 | 84.4 | 142.6 | 6.10 | 3.61 |
| Lucy | 14M | 1404 | 141.3 | 223.3 | 9.94 | 6.29 | | 1 |
| 3DModel | Size | Qhull | Ourimplementation | Speedup |
| --- | --- | --- | --- | --- |
| Mode1 | Mode2 | Mode1 | Mode2 | | | | Size | Qhull | Ourimplementation | Speedup | | |
| --- | --- | --- | --- | --- | --- |
| Mode1 | Mode2 | Mode1 | Mode2 | | |
| 100K | 16 | 37.2 | 61.7 | 0.43 | 0.26 |
| 200K | 32 | 36.4 | 65.7 | 0.88 | 0.49 |
| 500K | 62 | 41.7 | 69.2 | 1.49 | 0.90 |
| 1M | 109 | 44.8 | 73.9 | 2.43 | 1.47 |
| 2M | 234 | 55.9 | 86.2 | 4.19 | 2.71 |
| 5M | 561 | 77.9 | 118.5 | 7.20 | 4.73 |
| 10M | 1029 | 124.7 | 161.7 | 8.25 | 6.36 |
| 20M | 2262 | 206.0 | 272.5 | 10.98 | 8.30 | | 0 |
| 3DModel | Size | Qhull | Ourimplementation | Speedup | | |
| --- | --- | --- | --- | --- | --- | --- |
| Mode1 | Mode2 | Mode1 | Mode2 | | | |
| Armadillo | 172K | 16 | 47.5 | 61.7 | 0.34 | 0.26 |
| Angel | 237K | 47 | 50.5 | 62.6 | 0.93 | 0.75 |
| SkeletonHand | 327K | 32 | 49.5 | 61.8 | 0.65 | 0.52 |
| Dragon | 437K | 62 | 55.9 | 67.4 | 1.11 | 0.92 |
| HappyBuddha | 543K | 63 | 56.8 | 76.7 | 1.11 | 0.82 |
| TurbineBlade | 882K | 125 | 64.3 | 72.3 | 1.94 | 1.73 |
| VellumManuscript | 2M | 219 | 63.2 | 91.5 | 3.47 | 2.39 | | | AsianDragon | 3M | 359 | 78.4 | 129.8 | 4.58 | 2.77 |
| --- | --- | --- | --- | --- | --- | --- |
| ThaiStatue | 5M | 515 | 84.4 | 142.6 | 6.10 | 3.61 |
| Lucy | 14M | 1404 | 141.3 | 223.3 | 9.94 | 6.29 | | 1 |
| 3DModel | Size | Qhull | Ourimplementation | Speedup | | |
| --- | --- | --- | --- | --- | --- | --- |
| Mode1 | Mode2 | Mode1 | Mode2 | | | |
| Armadillo | 172K | 16 | 47.5 | 61.7 | 0.34 | 0.26 |
| Angel | 237K | 47 | 50.5 | 62.6 | 0.93 | 0.75 |
| SkeletonHand | 327K | 32 | 49.5 | 61.8 | 0.65 | 0.52 |
| Dragon | 437K | 62 | 55.9 | 67.4 | 1.11 | 0.92 |
| HappyBuddha | 543K | 63 | 56.8 | 76.7 | 1.11 | 0.82 |
| TurbineBlade | 882K | 125 | 64.3 | 72.3 | 1.94 | 1.73 |
| VellumManuscript | 2M | 219 | 63.2 | 91.5 | 3.47 | 2.39 | | | 10M | 1029 | 124.7 | 161.7 | 8.25 | 6.36 |
| --- | --- | --- | --- | --- | --- |
| 20M | 2262 | 206.0 | 272.5 | 10.98 | 8.30 | | 0 |
| Name | SK | WN |
| --- | --- | --- |
| MRR∗ | 0.032 | 0.578 |
| Expectedrank | 1/0.032≈31 | 1/0.578≈2 |
| R(∗,nb,1) | 4 | 10 |
| RR(∗,nb,1) | 1/4=0.25 | 1/10=0.1 |
| R(∗,nb,2) | 25 | 50 | | | RR(∗,nb,2) | 1/25=0.04 | 1/50=0.02 |
| --- | --- | --- |
| d(∗,nb,1) | —0.032-0.25—=0.218 | —0.578-0.1—=0.478 |
| d(∗,nb,2) | —0.032-0.04—=0.008 | —0.578-0.02—=0.576 | | 1 |
| Name | SK | WN |
| --- | --- | --- |
| MRR∗ | 0.032 | 0.578 |
| Expectedrank | 1/0.032≈31 | 1/0.578≈2 |
| R(∗,nb,1) | 4 | 10 |
| RR(∗,nb,1) | 1/4=0.25 | 1/10=0.1 |
| R(∗,nb,2) | 25 | 50 | | | TSS | P1 | P2 | P3 | P4 | P5 |
| --- | --- | --- | --- | --- | --- |
| N/5 | 0.2174 | 0.2465 | 0.2515 | 0.2565 | 0.2631 |
| 2N/5 | 0.2114 | 0.2468 | 0.2491 | 0.2557 | 0.2602 |
| 3N/5 | 0.21 | 0.245 | 0.2482 | 0.2554 | 0.2587 |
| 4N/5 | 0.2092 | 0.2449 | 0.2463 | 0.2539 | 0.2582 | | 0 |
| Name | SK | WN |
| --- | --- | --- |
| MRR∗ | 0.032 | 0.578 |
| Expectedrank | 1/0.032≈31 | 1/0.578≈2 | | | R(∗,nb,1) | 4 | 10 |
| --- | --- | --- |
| RR(∗,nb,1) | 1/4=0.25 | 1/10=0.1 |
| R(∗,nb,2) | 25 | 50 |
| RR(∗,nb,2) | 1/25=0.04 | 1/50=0.02 |
| d(∗,nb,1) | —0.032-0.25—=0.218 | —0.578-0.1—=0.478 |
| d(∗,nb,2) | —0.032-0.04—=0.008 | —0.578-0.02—=0.576 | | 1 |
| Name | SK | WN |
| --- | --- | --- |
| MRR∗ | 0.032 | 0.578 |
| Expectedrank | 1/0.032≈31 | 1/0.578≈2 | | | 3N/5 | 0.21 | 0.245 | 0.2482 | 0.2554 | 0.2587 |
| --- | --- | --- | --- | --- | --- |
| 4N/5 | 0.2092 | 0.2449 | 0.2463 | 0.2539 | 0.2582 | | 0 |
| Methods | VOC2007(MAP)<br>16bits32bits48bits64bits | StanfordDogs(MAP)<br>16bits32bits48bits64bits | SUN397(MAP)<br>16bits32bits48bits64bits |
| --- | --- | --- | --- |
| Ours | 0.76720.80410.81470.8227 | 0.67450.71010.72520.7293 | 0.75050.80680.81520.8301 |
| TripletH | 0.74340.77450.78580.7897 | 0.58890.64780.67440.6904 | 0.68930.76600.79180.8027 | | | DSH | 0.70610.72340.71430.7116 | 0.49940.61340.64200.6453 | 0.59990.70310.75450.7725 |
| --- | --- | --- | --- |
| MLH | 0.49900.50440.45660.4786 | 0.40530.50310.61350.6284 | 0.38060.46320.49880.5212 |
| BRE | 0.61110.63230.64530.6517 | 0.24290.31580.36830.3936 | 0.25460.31850.35740.3675 |
| ITQ | 0.57930.58080.57960.5723 | 0.32750.42560.46820.4977 | 0.28640.36230.38820.3955 |
| SH | 0.44180.41750.40040.3835 | 0.24610.30760.35230.3714 | 0.20330.24350.24380.2391 |
| LSH | 0.27200.30980.32730.3551 | 0.06290.12930.16900.2245 | 0.06580.11160.14120.1635 | | 1 |
| Methods | VOC2007(MAP)<br>16bits32bits48bits64bits | StanfordDogs(MAP)<br>16bits32bits48bits64bits | SUN397(MAP)<br>16bits32bits48bits64bits |
| --- | --- | --- | --- |
| Ours | 0.76720.80410.81470.8227 | 0.67450.71010.72520.7293 | 0.75050.80680.81520.8301 |
| TripletH | 0.74340.77450.78580.7897 | 0.58890.64780.67440.6904 | 0.68930.76600.79180.8027 | | | Methods | 16bits32bits48bits64bits |
| --- | --- |
| VOC2007 | |
| Ours | 0.76720.80410.81470.8227 |
| HNM | 0.75450.77680.80100.8030 |
| Semi-hard | 0.73470.74420.75480.7655 |
| TripletH | 0.74340.77450.78580.7897 |
| StanfordDogs | |
| Ours | 0.67450.71010.72520.7293 |
| HNM | 0.59050.67630.70570.7187 |
| Semi-hard | 0.59330.66620.69670.7054 |
| TripletH | 0.58890.64780.67440.6904 |
| SUN397 | |
| Ours | 0.75050.80680.81520.8301 |
| HNM | 0.71240.78010.79920.8142 |
| Semi-hard | 0.71670.78090.80020.8097 |
| TripletH | 0.68930.76600.79180.8027 |
| CUB-200-2011 | |
| Ours | 0.51370.65190.68070.6949 |
| HNM | 0.48340.57930.62170.6641 |
| Semi-hard | 0.48590.60170.63460.6539 |
| TripletH | 0.45080.55030.59630.6312 | | 0 |
| Methods | VOC2007(MAP)<br>16bits32bits48bits64bits | StanfordDogs(MAP)<br>16bits32bits48bits64bits | SUN397(MAP)<br>16bits32bits48bits64bits |
| --- | --- | --- | --- |
| Ours | 0.76720.80410.81470.8227 | 0.67450.71010.72520.7293 | 0.75050.80680.81520.8301 |
| TripletH | 0.74340.77450.78580.7897 | 0.58890.64780.67440.6904 | 0.68930.76600.79180.8027 |
| DSH | 0.70610.72340.71430.7116 | 0.49940.61340.64200.6453 | 0.59990.70310.75450.7725 | | | MLH | 0.49900.50440.45660.4786 | 0.40530.50310.61350.6284 | 0.38060.46320.49880.5212 |
| --- | --- | --- | --- |
| BRE | 0.61110.63230.64530.6517 | 0.24290.31580.36830.3936 | 0.25460.31850.35740.3675 |
| ITQ | 0.57930.58080.57960.5723 | 0.32750.42560.46820.4977 | 0.28640.36230.38820.3955 |
| SH | 0.44180.41750.40040.3835 | 0.24610.30760.35230.3714 | 0.20330.24350.24380.2391 |
| LSH | 0.27200.30980.32730.3551 | 0.06290.12930.16900.2245 | 0.06580.11160.14120.1635 | | 1 |
| Methods | VOC2007(MAP)<br>16bits32bits48bits64bits | StanfordDogs(MAP)<br>16bits32bits48bits64bits | SUN397(MAP)<br>16bits32bits48bits64bits |
| --- | --- | --- | --- |
| Ours | 0.76720.80410.81470.8227 | 0.67450.71010.72520.7293 | 0.75050.80680.81520.8301 |
| TripletH | 0.74340.77450.78580.7897 | 0.58890.64780.67440.6904 | 0.68930.76600.79180.8027 |
| DSH | 0.70610.72340.71430.7116 | 0.49940.61340.64200.6453 | 0.59990.70310.75450.7725 | | | TripletH | 0.74340.77450.78580.7897 |
| --- | --- |
| StanfordDogs | |
| Ours | 0.67450.71010.72520.7293 |
| HNM | 0.59050.67630.70570.7187 |
| Semi-hard | 0.59330.66620.69670.7054 |
| TripletH | 0.58890.64780.67440.6904 |
| SUN397 | |
| Ours | 0.75050.80680.81520.8301 |
| HNM | 0.71240.78010.79920.8142 |
| Semi-hard | 0.71670.78090.80020.8097 |
| TripletH | 0.68930.76600.79180.8027 |
| CUB-200-2011 | |
| Ours | 0.51370.65190.68070.6949 |
| HNM | 0.48340.57930.62170.6641 |
| Semi-hard | 0.48590.60170.63460.6539 |
| TripletH | 0.45080.55030.59630.6312 | | 0 |
| Tile<br>Number | Orientation | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 1 | bbrrrr | rbbrrr | rrbbrr | rrrbbr | rrrrbb | brrrrb |
| 2 | rrbbbb | brrbbb | bbrrbb | bbbrrb | bbbbrr | rbbbbr |
| 3 | brrbrr | rbrrbr | rrbrrb | | | |
| 4 | rbbrbb | brbbrb | bbrbbr | | | | | | 5 | rbrrrb | brbrrr | rbrbrr | rrbrbr | rrrbrb | brrrbr |
| --- | --- | --- | --- | --- | --- | --- |
| 6 | brbbbr | rbrbbb | brbrbb | bbrbrb | bbbrbr | rbbbrb |
| 7 | bbbbbb | | | | | |
| 8 | rrrrrr | | | | | | | 1 |
| Tile<br>Number | Orientation | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 1 | bbrrrr | rbbrrr | rrbbrr | rrrbbr | rrrrbb | brrrrb |
| 2 | rrbbbb | brrbbb | bbrrbb | bbbrrb | bbbbrr | rbbbbr |
| 3 | brrbrr | rbrrbr | rrbrrb | | | |
| 4 | rbbrbb | brbbrb | bbrbbr | | | | | | Tile<br>Number | Orientation | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 1 | yrrbby | yyrrbb | byyrrb | bbyyrr | rbbyyr | rrbbyy |
| 2 | ryybbr | rryybb | brryyb | bbrryy | ybbrry | yybbrr |
| 3 | yrrybb | byrryb | bbyrry | ybbyrr | rybbyr | rrybby |
| 4 | ryyrbb | bryyrb | bbryyr | rbbryy | yrbbry | yyrbbr |
| 5 | brrbyy | ybrrby | yybrrb | byybrr | rbyybr | rrbyyb |
| 6 | yrbybr | ryrbyb | bryrby | ybryrb | bybryr | rbybry |
| 7 | rbyryb | brbyry | ybrbyr | rybrby | yrybrb | byrybr |
| 8 | brybyr | rbryby | yrbryb | byrbry | ybyrbr | rybyrb |
| 9 | brbyyr | rbrbyy | yrbrby | yyrbrb | byyrbr | rbyyrb |
| 10 | bybrry | ybybrr | rybybr | rrybyb | brryby | ybrryb |
| 11 | ryrbby | yryrbb | byryrb | bbyryr | rbbyry | yrbbyr |
| 12 | rbryyb | brbryy | ybrbry | yybrbr | ryybrb | bryybr |
| 13 | ybyrrb | bybyrr | rbybyr | rrbyby | yrrbyb | byrrby |
| 14 | yrybbr | ryrybb | bryryb | bbryry | ybbryr | rybbry | | 0 |
| Tile<br>Number | Orientation | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 1 | bbrrrr | rbbrrr | rrbbrr | rrrbbr | rrrrbb | brrrrb |
| 2 | rrbbbb | brrbbb | bbrrbb | bbbrrb | bbbbrr | rbbbbr |
| 3 | brrbrr | rbrrbr | rrbrrb | | | |
| 4 | rbbrbb | brbbrb | bbrbbr | | | |
| 5 | rbrrrb | brbrrr | rbrbrr | rrbrbr | rrrbrb | brrrbr | | | 6 | brbbbr | rbrbbb | brbrbb | bbrbrb | bbbrbr | rbbbrb |
| --- | --- | --- | --- | --- | --- | --- |
| 7 | bbbbbb | | | | | |
| 8 | rrrrrr | | | | | | | 1 |
| Tile<br>Number | Orientation | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 1 | bbrrrr | rbbrrr | rrbbrr | rrrbbr | rrrrbb | brrrrb |
| 2 | rrbbbb | brrbbb | bbrrbb | bbbrrb | bbbbrr | rbbbbr |
| 3 | brrbrr | rbrrbr | rrbrrb | | | |
| 4 | rbbrbb | brbbrb | bbrbbr | | | |
| 5 | rbrrrb | brbrrr | rbrbrr | rrbrbr | rrrbrb | brrrbr | | | 12 | rbryyb | brbryy | ybrbry | yybrbr | ryybrb | bryybr |
| --- | --- | --- | --- | --- | --- | --- |
| 13 | ybyrrb | bybyrr | rbybyr | rrbyby | yrrbyb | byrrby |
| 14 | yrybbr | ryrybb | bryryb | bbryry | ybbryr | rybbry | | 0 |
| Emin | 1.0·10 |
| --- | --- |
| Emax | 1.0·10 | | | ν | 0.3 |
| --- | --- |
| σ<br>y,min | 0.0 |
| σy,max | 2.0 |
| H | 0.01 | | 1 |
| Emin | 1.0·10 |
| --- | --- |
| Emax | 1.0·10 | | | σpos | 0.02m |
| --- | --- |
| σvel | −1<br>0.02m.s |
| σψ | −3<br>1.75.10rad |
| dmax | 50m |
| vmax | −1<br>36m.s |
| ˙<br>ψmax | −1<br>1rad.s | | 0 |
| Emin | 1.0·10 |
| --- | --- |
| Emax | 1.0·10 | | | ν | 0.3 |
| --- | --- |
| σ<br>y,min | 0.0 |
| σy,max | 2.0 |
| H | 0.01 | | 1 |
| Emin | 1.0·10 |
| --- | --- |
| Emax | 1.0·10 | | | vmax | −1<br>36m.s |
| --- | --- |
| ˙<br>ψmax | −1<br>1rad.s | | 0 |
| Denoising | | | |
| --- | --- | --- | --- |
| Berkeley1 | Berkeley2 | Berkeley3 | Run<br>Time | | | Method | Dic.<br>Size | PSNR<br>(dB) | Time<br>(min) | PSNR<br>(dB) | Time<br>(min) | PSNR<br>(dB) | Time<br>(min) | PSNR<br>(dB) | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Proposed(α=1/k)i<br>Proposed(α=0.1) | 40k<br>40k | 18.55<br>18.79 | 0.07<br>0.21 | 20.46<br>20.70 | 0.07<br>0.21 | 17.02<br>17.76 | 0.07<br>0.21 | 1x<br>3x | 17.16<br>17.42 |
| OMP | 40k | 18.37 | 21.41 | 19.89 | 21.46 | 19.27 | 17.37 | 286x | 16.94 |
| SPGL1<br>FPCAS<br>GPSR | 4k<br>4k<br>4k | 14.92<br>13.64<br>18.72 | 95.81<br>124.2<br>30.29 | 16.06<br>14.85<br>20.40 | 90.42<br>123.0<br>26.55 | 16.34<br>14.85<br>19.36 | 80.96<br>123.0<br>39.81 | 1272x<br>1763x<br>460x | 17.27<br>17.24<br>17.24 |
| KD-Tree<br>ANN | 40k<br>40k | 18.06<br>18.03 | 101.7<br>24.58 | 19.63<br>19.59 | 101.7<br>25.41 | 17.21<br>16.60 | 101.7<br>25.29 | 1452x<br>358x | 16.77<br>16.77 | | 1 |
| Denoising | | | |
| --- | --- | --- | --- |
| Berkeley1 | Berkeley2 | Berkeley3 | Run<br>Time | | | alg. | SPD | APD(P,Q) | APD(Q,P) | MPD |
| --- | --- | --- | --- | --- |
| Resultsoverthecompletedatabase | | | | |
| MP-D(α=6)<br>MP-G(α=6)<br>GREEDY | 0.56<br>0.49<br>0.57 | 0.54<br>0.43<br>0.54 | 0.09<br>0.16<br>0.12 | 0.07<br>0.12<br>0.10 |
| Resultsoverthe100testimages | | | | |
| MP-D(α=6)<br>MP-S(α=21)<br>MP-M(α=50)<br>MP-M(α=150) | 0.56<br>0.46<br>0.41<br>0.38 | 0.54<br>0.41<br>0.31<br>0.18 | 0.10<br>0.13<br>0.19<br>0.28 | 0.08<br>0.09<br>0.11<br>0.09 |
| GREEDY<br>MP-G(α=6)<br>MP-G-S(α=21) | 0.58<br>0.50<br>0.42 | 0.54<br>0.45<br>0.31 | 0.13<br>0.17<br>0.23 | 0.10<br>0.13<br>0.14 | | 0 |
| Denoising | | | |
| --- | --- | --- | --- |
| Berkeley1 | Berkeley2 | Berkeley3 | Run<br>Time | | | Method | Dic.<br>Size | PSNR<br>(dB) | Time<br>(min) | PSNR<br>(dB) | Time<br>(min) | PSNR<br>(dB) | Time<br>(min) | PSNR<br>(dB) | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| Proposed(α=1/k)i<br>Proposed(α=0.1) | 40k<br>40k | 18.55<br>18.79 | 0.07<br>0.21 | 20.46<br>20.70 | 0.07<br>0.21 | 17.02<br>17.76 | 0.07<br>0.21 | 1x<br>3x | 17.16<br>17.42 |
| OMP | 40k | 18.37 | 21.41 | 19.89 | 21.46 | 19.27 | 17.37 | 286x | 16.94 |
| SPGL1<br>FPCAS<br>GPSR | 4k<br>4k<br>4k | 14.92<br>13.64<br>18.72 | 95.81<br>124.2<br>30.29 | 16.06<br>14.85<br>20.40 | 90.42<br>123.0<br>26.55 | 16.34<br>14.85<br>19.36 | 80.96<br>123.0<br>39.81 | 1272x<br>1763x<br>460x | 17.27<br>17.24<br>17.24 |
| KD-Tree<br>ANN | 40k<br>40k | 18.06<br>18.03 | 101.7<br>24.58 | 19.63<br>19.59 | 101.7<br>25.41 | 17.21<br>16.60 | 101.7<br>25.29 | 1452x<br>358x | 16.77<br>16.77 | | 1 |
| Denoising | | | |
| --- | --- | --- | --- |
| Berkeley1 | Berkeley2 | Berkeley3 | Run<br>Time | | | MP-D(α=6)<br>MP-G(α=6)<br>GREEDY | 0.56<br>0.49<br>0.57 | 0.54<br>0.43<br>0.54 | 0.09<br>0.16<br>0.12 | 0.07<br>0.12<br>0.10 |
| --- | --- | --- | --- | --- |
| Resultsoverthe100testimages | | | | |
| MP-D(α=6)<br>MP-S(α=21)<br>MP-M(α=50)<br>MP-M(α=150) | 0.56<br>0.46<br>0.41<br>0.38 | 0.54<br>0.41<br>0.31<br>0.18 | 0.10<br>0.13<br>0.19<br>0.28 | 0.08<br>0.09<br>0.11<br>0.09 |
| GREEDY<br>MP-G(α=6)<br>MP-G-S(α=21) | 0.58<br>0.50<br>0.42 | 0.54<br>0.45<br>0.31 | 0.13<br>0.17<br>0.23 | 0.10<br>0.13<br>0.14 | | 0 |
| Topwordsofimagetheme | AugmentedwordsusingConceptNet |
| --- | --- |
| ‘walls’,‘children’,‘classroom’,‘board’,‘desk’ | ‘in-school’,‘student’ |
| ‘clouds’,‘sky’,‘sun’,‘shade’ | ‘sunset’,‘yellow’,‘blue’ |
| ‘forest’,‘bushes’,‘dense’,‘path’ | ‘nature’ |
| ‘spectators’,‘stadium’,‘grandstand’,‘court’ | ‘game-play’,‘watch’ | | | ‘room’,‘wood’,‘walls’,‘lamp’ | ‘furniture’ |
| --- | --- |
| ‘building’,‘city’,‘view’,‘night’ | ‘look-through-telescope’,‘dark’ |
| ‘road’,‘gravel’,‘car’,‘dirt’ | ‘ride’,‘track’ |
| ‘streets’,‘building’,‘people’,‘pavement’ | ‘road’,‘walk’,‘in-city’ |
| ‘shorts’‘cyclist’,‘helmet’,‘jersey’ | ‘bike-ride’,‘athlete’ |
| ‘man’,‘woman’,‘shirt’,‘hands’,‘clothes’ | ‘wear’,‘outfit’,‘dress’ | | 1 |
| Topwordsofimagetheme | AugmentedwordsusingConceptNet |
| --- | --- |
| ‘walls’,‘children’,‘classroom’,‘board’,‘desk’ | ‘in-school’,‘student’ |
| ‘clouds’,‘sky’,‘sun’,‘shade’ | ‘sunset’,‘yellow’,‘blue’ |
| ‘forest’,‘bushes’,‘dense’,‘path’ | ‘nature’ |
| ‘spectators’,‘stadium’,‘grandstand’,‘court’ | ‘game-play’,‘watch’ | | | corpus:low,MRC:high | | | | |
| --- | --- | --- | --- | --- |
| WSJ | Wikipedia-E | Web-E | BNC | MICASE |
| pencil<br>noisy<br>oven<br>happiness | mileage<br>towel<br>thoughtful<br>bra | doughnut<br>coke<br>steady<br>hunger | sock<br>nickel<br>boring<br>shrimp | bedroom<br>thirsty<br>spoon<br>sunshine |
| corpus:high,MRC:low | | | | |
| lire<br>southland<br>gore<br>charter | sonata<br>hank<br>aurora<br>belle | dell<br>portal<br>fort<br>enterprise | essence<br>lorry<br>debut<br>rover | hypothesis<br>velocity<br>precipitate<br>mass | | 0 |
| Topwordsofimagetheme | AugmentedwordsusingConceptNet |
| --- | --- |
| ‘walls’,‘children’,‘classroom’,‘board’,‘desk’ | ‘in-school’,‘student’ | | | ‘clouds’,‘sky’,‘sun’,‘shade’ | ‘sunset’,‘yellow’,‘blue’ |
| --- | --- |
| ‘forest’,‘bushes’,‘dense’,‘path’ | ‘nature’ |
| ‘spectators’,‘stadium’,‘grandstand’,‘court’ | ‘game-play’,‘watch’ |
| ‘room’,‘wood’,‘walls’,‘lamp’ | ‘furniture’ |
| ‘building’,‘city’,‘view’,‘night’ | ‘look-through-telescope’,‘dark’ |
| ‘road’,‘gravel’,‘car’,‘dirt’ | ‘ride’,‘track’ |
| ‘streets’,‘building’,‘people’,‘pavement’ | ‘road’,‘walk’,‘in-city’ |
| ‘shorts’‘cyclist’,‘helmet’,‘jersey’ | ‘bike-ride’,‘athlete’ |
| ‘man’,‘woman’,‘shirt’,‘hands’,‘clothes’ | ‘wear’,‘outfit’,‘dress’ | | 1 |
| Topwordsofimagetheme | AugmentedwordsusingConceptNet |
| --- | --- |
| ‘walls’,‘children’,‘classroom’,‘board’,‘desk’ | ‘in-school’,‘student’ | | | corpus:high,MRC:low | | | | |
| --- | --- | --- | --- | --- |
| lire<br>southland<br>gore<br>charter | sonata<br>hank<br>aurora<br>belle | dell<br>portal<br>fort<br>enterprise | essence<br>lorry<br>debut<br>rover | hypothesis<br>velocity<br>precipitate<br>mass | | 0 |
| nc | Methods | LRC | SRC | BSRC | CRC | MRSRC | MRBSRC | MRCRC |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | Mean<br>Min<br>Max | 71.67<br>69.90<br>73.03<br>73.66<br>72.78<br>74.59<br>74.38<br>73.68<br>75.08<br>74.88<br>73.77<br>75.66 | 65.94<br>64.80<br>66.94<br>67.17<br>65.87<br>67.93<br>67.60<br>66.28<br>68.59<br>68.22<br>67.68<br>69.16 | 58.50<br>56.50<br>59.62<br>56.55<br>54.77<br>58.39<br>55.10<br>53.54<br>56.66<br>53.17<br>52.47<br>53.95 | 59.96<br>58.63<br>61.43<br>62.55<br>60.36<br>63.98<br>63.03<br>62.17<br>64.47<br>63.62<br>62.99<br>64.80 | 81.88<br>80.35<br>82.98<br>85.01<br>83.72<br>85.94<br>87.68<br>86.60<br>88.73<br>89.35<br>88.73<br>90.05 | 76.77<br>75.08<br>77.96<br>79.67<br>77.88<br>81.25<br>82.84<br>82.07<br>85.03<br>85.21<br>84.05<br>85.94 | 81.95<br>81.25<br>82.89<br>82.53<br>81.17<br>83.47<br>82.86<br>82.07<br>83.80<br>83.08<br>82.24<br>84.05 |
| 20 | Mean<br>Min<br>Max | | | | | | | | | | 24 | Mean<br>Min<br>Max |
| --- | --- |
| 28 | Mean<br>Min<br>Max | | 1 |
| nc | Methods | LRC | SRC | BSRC | CRC | MRSRC | MRBSRC | MRCRC |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | Mean<br>Min<br>Max | 71.67<br>69.90<br>73.03<br>73.66<br>72.78<br>74.59<br>74.38<br>73.68<br>75.08<br>74.88<br>73.77<br>75.66 | 65.94<br>64.80<br>66.94<br>67.17<br>65.87<br>67.93<br>67.60<br>66.28<br>68.59<br>68.22<br>67.68<br>69.16 | 58.50<br>56.50<br>59.62<br>56.55<br>54.77<br>58.39<br>55.10<br>53.54<br>56.66<br>53.17<br>52.47<br>53.95 | 59.96<br>58.63<br>61.43<br>62.55<br>60.36<br>63.98<br>63.03<br>62.17<br>64.47<br>63.62<br>62.99<br>64.80 | 81.88<br>80.35<br>82.98<br>85.01<br>83.72<br>85.94<br>87.68<br>86.60<br>88.73<br>89.35<br>88.73<br>90.05 | 76.77<br>75.08<br>77.96<br>79.67<br>77.88<br>81.25<br>82.84<br>82.07<br>85.03<br>85.21<br>84.05<br>85.94 | 81.95<br>81.25<br>82.89<br>82.53<br>81.17<br>83.47<br>82.86<br>82.07<br>83.80<br>83.08<br>82.24<br>84.05 |
| 20 | Mean<br>Min<br>Max | | | | | | | | | | nc | Methods | LRC | SRC | BSRC | CRC | MRSRC | MRBSRC | MRCRC |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | Mean<br>Min<br>Max | 69.30<br>67.52<br>70.72<br>70.02<br>68.26<br>71.46<br>70.79<br>69.82<br>72.20<br>71.04<br>70.31<br>71.96 | 75.42<br>74.26<br>76.32<br>77.60<br>76.81<br>78.62<br>78.93<br>77.80<br>79.44<br>79.95<br>78.70<br>80.59 | 70.76<br>69.57<br>72.12<br>72.25<br>71.13<br>73.19<br>73.32<br>72.29<br>73.93<br>74.19<br>73.03<br>74.92 | 77.29<br>75.58<br>79.44<br>79.26<br>78.13<br>80.43<br>80.22<br>79.36<br>80.92<br>81.04<br>80.43<br>81.50 | 81.73<br>80.26<br>82.98<br>85.36<br>83.88<br>86.10<br>87.72<br>86.43<br>88.98<br>89.40<br>88.65<br>89.97 | 76.18<br>74.26<br>77.63<br>79.38<br>77.14<br>80.43<br>82.12<br>81.33<br>83.47<br>83.91<br>83.14<br>85.20 | 81.17<br>79.69<br>82.89<br>82.55<br>81.50<br>83.47<br>83.92<br>82.65<br>84.70<br>84.36<br>83.39<br>85.03 |
| 20 | Mean<br>Min<br>Max | | | | | | | |
| 24 | Mean<br>Min<br>Max | | | | | | | |
| 28 | Mean<br>Min<br>Max | | | | | | | | | 0 |
| nc | Methods | LRC | SRC | BSRC | CRC | MRSRC | MRBSRC | MRCRC |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | Mean<br>Min<br>Max | 71.67<br>69.90<br>73.03<br>73.66<br>72.78<br>74.59<br>74.38<br>73.68<br>75.08<br>74.88<br>73.77<br>75.66 | 65.94<br>64.80<br>66.94<br>67.17<br>65.87<br>67.93<br>67.60<br>66.28<br>68.59<br>68.22<br>67.68<br>69.16 | 58.50<br>56.50<br>59.62<br>56.55<br>54.77<br>58.39<br>55.10<br>53.54<br>56.66<br>53.17<br>52.47<br>53.95 | 59.96<br>58.63<br>61.43<br>62.55<br>60.36<br>63.98<br>63.03<br>62.17<br>64.47<br>63.62<br>62.99<br>64.80 | 81.88<br>80.35<br>82.98<br>85.01<br>83.72<br>85.94<br>87.68<br>86.60<br>88.73<br>89.35<br>88.73<br>90.05 | 76.77<br>75.08<br>77.96<br>79.67<br>77.88<br>81.25<br>82.84<br>82.07<br>85.03<br>85.21<br>84.05<br>85.94 | 81.95<br>81.25<br>82.89<br>82.53<br>81.17<br>83.47<br>82.86<br>82.07<br>83.80<br>83.08<br>82.24<br>84.05 |
| 20 | Mean<br>Min<br>Max | | | | | | | | | | 24 | Mean<br>Min<br>Max |
| --- | --- |
| 28 | Mean<br>Min<br>Max | | 1 |
| nc | Methods | LRC | SRC | BSRC | CRC | MRSRC | MRBSRC | MRCRC |
| --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 16 | Mean<br>Min<br>Max | 71.67<br>69.90<br>73.03<br>73.66<br>72.78<br>74.59<br>74.38<br>73.68<br>75.08<br>74.88<br>73.77<br>75.66 | 65.94<br>64.80<br>66.94<br>67.17<br>65.87<br>67.93<br>67.60<br>66.28<br>68.59<br>68.22<br>67.68<br>69.16 | 58.50<br>56.50<br>59.62<br>56.55<br>54.77<br>58.39<br>55.10<br>53.54<br>56.66<br>53.17<br>52.47<br>53.95 | 59.96<br>58.63<br>61.43<br>62.55<br>60.36<br>63.98<br>63.03<br>62.17<br>64.47<br>63.62<br>62.99<br>64.80 | 81.88<br>80.35<br>82.98<br>85.01<br>83.72<br>85.94<br>87.68<br>86.60<br>88.73<br>89.35<br>88.73<br>90.05 | 76.77<br>75.08<br>77.96<br>79.67<br>77.88<br>81.25<br>82.84<br>82.07<br>85.03<br>85.21<br>84.05<br>85.94 | 81.95<br>81.25<br>82.89<br>82.53<br>81.17<br>83.47<br>82.86<br>82.07<br>83.80<br>83.08<br>82.24<br>84.05 |
| 20 | Mean<br>Min<br>Max | | | | | | | | | | 20 | Mean<br>Min<br>Max |
| --- | --- |
| 24 | Mean<br>Min<br>Max |
| 28 | Mean<br>Min<br>Max | | 0 |
| DataLoadLoss | DataLoadLoss | DataLoadLoss |
| --- | --- | --- |
| Sub1All31641580<br>Sub1SwL14031713<br>Sub1SwR14123621<br>Sub1SwL24601143 | Sub3All4236508<br>Sub3SwL4364380 | Sub5SwM4407337 | | | Sub6All34201324<br>Sub6SwL14623121<br>Sub6SwR14607137<br>Sub6SwL2382919 | |
| --- | --- |
| Sub4All4414330<br>Sub4SwL4552192<br>Sub4SwM4636108 | |
| Sub2All4441303<br>Sub2SwL4600144<br>Sub2SwM465688 | |
| Sub5All4046697 | Sub7Sw04744 | | 1 |
| DataLoadLoss | DataLoadLoss | DataLoadLoss |
| --- | --- | --- |
| Sub1All31641580<br>Sub1SwL14031713<br>Sub1SwR14123621<br>Sub1SwL24601143 | Sub3All4236508<br>Sub3SwL4364380 | Sub5SwM4407337 | | | Applicati | nVEX1 | VEX2 | VEX4 | VEX8 | VEX16 |
| --- | --- | --- | --- | --- | --- |
| fsdither | 143768 | 99667 | 84053 | 80412 | 79949 |
| hilcurv | 382248 | 214232 | 144607 | 144598 | 144596 |
| htpack | 33871 | 26418 | 21811 | 16339 | 15621 |
| htunpack | 33947 | 24759 | 20152 | 12234 | 10445 |
| xteaenc | 466824 | 256793 | 234399 | 222079 | 220167 |
| xteadec | 463349 | 255375 | 240186 | 226287 | 223895 | | 0 |
| DataLoadLoss | DataLoadLoss | DataLoadLoss |
| --- | --- | --- |
| Sub1All31641580<br>Sub1SwL14031713<br>Sub1SwR14123621<br>Sub1SwL24601143 | Sub3All4236508<br>Sub3SwL4364380 | Sub5SwM4407337 | | | Sub6All34201324<br>Sub6SwL14623121<br>Sub6SwR14607137<br>Sub6SwL2382919 | |
| --- | --- |
| Sub4All4414330<br>Sub4SwL4552192<br>Sub4SwM4636108 | |
| Sub2All4441303<br>Sub2SwL4600144<br>Sub2SwM465688 | |
| Sub5All4046697 | Sub7Sw04744 | | 1 |
| DataLoadLoss | DataLoadLoss | DataLoadLoss |
| --- | --- | --- |
| Sub1All31641580<br>Sub1SwL14031713<br>Sub1SwR14123621<br>Sub1SwL24601143 | Sub3All4236508<br>Sub3SwL4364380 | Sub5SwM4407337 | | | xteaenc | 466824 | 256793 | 234399 | 222079 | 220167 |
| --- | --- | --- | --- | --- | --- |
| xteadec | 463349 | 255375 | 240186 | 226287 | 223895 | | 0 |
| Image | KernelSize,<br>Connectivity | Time | Upper-bound<br>SDBCMPLP-CP-v2 | Lower-bound<br>SDBCMPLP-CP-v2 |
| --- | --- | --- | --- | --- |
| “1234” | 3×3,23 | 20min<br>1hr<br>24hr | −601.31−601.31<br>−601.31−601.31<br>−601.31−601.31 | −601.42−601.31<br>−601.32−601.31<br>−601.31−601.31 |
| “1234” | 5×5,70 | 20min<br>1hr<br>24hr | −550.99−550.81<br>−551.02−550.95<br>−551.02−551.02 | −551.84−551.87<br>−551.26−551.30<br>−551.02−551.06 | | | “1234” | 7×7,136 | 20min<br>1hr<br>24hr | −478.07−474.19<br>−478.15−477.47<br>−478.16−477.84 | −479.82−500.90<br>−478.74−487.26<br>−478.16−480.46 |
| --- | --- | --- | --- | --- |
| “ABCD” | 3×3,23 | 20min<br>1hr<br>24hr | −524.60−524.60<br>−524.60−524.60<br>−524.60−524.60 | −524.74−524.60<br>−524.63−524.60<br>−524.60−524.60 |
| “ABCD” | 5×5,70 | 20min<br>1hr<br>24hr | −452.60−452.33<br>−452.64−452.48<br>−452.64−452.64 | −453.63−456.18<br>−452.99−453.60<br>−452.64−452.69 |
| “ABCD” | 7×7,136 | 20min<br>1hr<br>24hr | −416.63−410.82<br>−416.74−414.77<br>−416.77−416.29 | −418.73−452.00<br>−417.75−432.34<br>−416.78−422.12 | | 1 |
| Image | KernelSize,<br>Connectivity | Time | Upper-bound<br>SDBCMPLP-CP-v2 | Lower-bound<br>SDBCMPLP-CP-v2 |
| --- | --- | --- | --- | --- |
| “1234” | 3×3,23 | 20min<br>1hr<br>24hr | −601.31−601.31<br>−601.31−601.31<br>−601.31−601.31 | −601.42−601.31<br>−601.32−601.31<br>−601.31−601.31 |
| “1234” | 5×5,70 | 20min<br>1hr<br>24hr | −550.99−550.81<br>−551.02−550.95<br>−551.02−551.02 | −551.84−551.87<br>−551.26−551.30<br>−551.02−551.06 | | | Image | Method | CSr | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| 0.02 | 0.04 | 0.06 | 0.08 | 0.10 | | |
| Barbara | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.44,0.389<br>21.32,0.588<br>16.79,0.400<br>15.08,0.354<br>26.15,0.812 | 18.03,0.422<br>22.58,0.620<br>18.90,0.433<br>17.76,0.417<br>27.29,0.835 | 19.70,0.470<br>23.28,0.639<br>20.56,0.501<br>20.44,0.496<br>27.40,0.837 | 21.85,0.561<br>23.78,0.654<br>24.00,0.659<br>22.66,0.623<br>28.05,0.848 | 23.70,0.635<br>24.25,0.667<br>25.13,0.725<br>24.05,0.660<br>28.30,0.852 |
| Boats | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.76,0.398<br>21.58,0.634<br>17.20,0.409<br>15.52,0.365<br>30.79,0.898 | 17.98,0.440<br>23.66,0.681<br>19.41,0.489<br>18.41,0.456<br>31.73,0.909 | 20.11,0.507<br>24.57,0.699<br>21.76,0.559<br>20.76,0.528<br>31.84,0.910 | 23.21,0.624<br>25.22,0.713<br>23.76,0.638<br>22.85,0.600<br>32.35,0.916 | 24.65,0.687<br>25.75,0.725<br>25.52,0.711<br>25.22,0.703<br>32.33,0.912 |
| Cameraman | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.84,0.432<br>20.33,0.557<br>17.00,0.436<br>16.13,0.401<br>25.88,0.828 | 18.34,0.496<br>21.53,0.579<br>19.10,0.531<br>17.51,0.461<br>26.47,0.829 | 20.62,0.585<br>22.02,0.580<br>21.60,0.620<br>19.84,0.562<br>26.66,0.823 | 22.32,0.654<br>22.37,0.578<br>23.99,0.709<br>21.74,0.629<br>27.16,0.824 | 23.85,0.711<br>23.19,0.688<br>26.25,0.789<br>23.61,0.705<br>27.64,0.819 |
| Foreman | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 18.96,0.610<br>23.35,0.777<br>19.64,0.645<br>19.42,0.639<br>34.01,0.934 | 21.06,0.680<br>26.81,0.808<br>22.33,0.695<br>22.07,0.687<br>34.61,0.936 | 25.48,0.726<br>28.47,0.821<br>28.09,0.809<br>26.31,0.750<br>35.18,0.937 | 29.80,0.831<br>29.45,0.828<br>31.68,0.865<br>29.12,0.813<br>35.33,0.939 | 31.69,0.866<br>30.02,0.833<br>34.15,0.900<br>31.90,0.872<br>36.02,0.939 |
| House | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 18.12,0.518<br>22.57,0.706<br>18.80,0.554<br>17.74,0.492<br>30.42,0.873 | 20.35,0.590<br>24.58,0.724<br>21.77,0.620<br>19.93,0.577<br>31.76,0.884 | 25.79,0.755<br>26.36,0.740<br>27.16,0.761<br>24.00,0.693<br>33.07,0.898 | 29.78,0.816<br>27.63,0.766<br>31.23,0.835<br>27.39,0.758<br>34.32,0.910 | 30.50,0.824<br>28.68,0.814<br>33.66,0.869<br>29.84,0.818<br>34.80,0.913 |
| Lena | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.09,0.427<br>21.60,0.671<br>16.71,0.461<br>15.53,0.399<br>28.51,0.881 | 18.22,0.511<br>23.23,0.693<br>19.07,0.545<br>17.21,0.485<br>29.70,0.894 | 20.47,0.603<br>23.88,0.697<br>21.36,0.649<br>19.93,0.567<br>29.85,0.889 | 23.55,0.694<br>24.41,0.701<br>25.47,0.746<br>22.29,0.681<br>30.42,0.898 | 24.63,0.729<br>24.81,0.705<br>25.82,0.771<br>24.60,0.733<br>30.65,0.896 |
| Monarch | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 14.55,0.352<br>17.31,0.537<br>14.69,0.357<br>14.01,0.334<br>26.14,0.884 | 15.24,0.390<br>18.91,0.577<br>16.03,0.413<br>14.86,0.366<br>27.28,0.895 | 17.65,0.500<br>19.82,0.595<br>18.53,0.552<br>17.55,0.497<br>28.21,0.901 | 19.75,0.581<br>20.56,0.611<br>21.84,0.686<br>19.84,0.587<br>28.97,0.904 | 21.64,0.666<br>21.24,0.624<br>25.12,0.796<br>21.77,0.675<br>29.25,0.904 |
| Parrots | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.62,0.506<br>21.11,0.714<br>17.39,0.550<br>16.89,0.520<br>28.28,0.899 | 19.32,0.613<br>22.90,0.722<br>20.84,0.681<br>19.55,0.619<br>28.88,0.893 | 23.070.693<br>23.47,0.714<br>24.95,0.782<br>22.62,0.684<br>29.22,0.890 | 25.04,0.761<br>24.38,0.770<br>28.18,0.835<br>24.10,0.711<br>29.55,0.887 | 26.10,0.787<br>25.84,0.804<br>30.35,0.875<br>26.31,0.792<br>29.84,0.885 |
| Average | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.80,0.454<br>21.15,0.648<br>17.28,0.477<br>16.29,0.438<br>28.77,0.876 | 18.57,0.518<br>23.02,0.676<br>19.68,0.551<br>18.41,0.509<br>29.71,0.884 | 21.61,0.605<br>23.98,0.685<br>23.00,0.654<br>21.43,0.610<br>30.18,0.886 | 24.42,0.690<br>24.72,0.703<br>26.27,0.747<br>23.75,0.675<br>30.77,0.891 | 25.85,0.738<br>25.47,0.732<br>28.25,0.805<br>25.91,0.745<br>31.10,0.890 | | 0 |
| Image | KernelSize,<br>Connectivity | Time | Upper-bound<br>SDBCMPLP-CP-v2 | Lower-bound<br>SDBCMPLP-CP-v2 |
| --- | --- | --- | --- | --- |
| “1234” | 3×3,23 | 20min<br>1hr<br>24hr | −601.31−601.31<br>−601.31−601.31<br>−601.31−601.31 | −601.42−601.31<br>−601.32−601.31<br>−601.31−601.31 |
| “1234” | 5×5,70 | 20min<br>1hr<br>24hr | −550.99−550.81<br>−551.02−550.95<br>−551.02−551.02 | −551.84−551.87<br>−551.26−551.30<br>−551.02−551.06 |
| “1234” | 7×7,136 | 20min<br>1hr<br>24hr | −478.07−474.19<br>−478.15−477.47<br>−478.16−477.84 | −479.82−500.90<br>−478.74−487.26<br>−478.16−480.46 | | | “ABCD” | 3×3,23 | 20min<br>1hr<br>24hr | −524.60−524.60<br>−524.60−524.60<br>−524.60−524.60 | −524.74−524.60<br>−524.63−524.60<br>−524.60−524.60 |
| --- | --- | --- | --- | --- |
| “ABCD” | 5×5,70 | 20min<br>1hr<br>24hr | −452.60−452.33<br>−452.64−452.48<br>−452.64−452.64 | −453.63−456.18<br>−452.99−453.60<br>−452.64−452.69 |
| “ABCD” | 7×7,136 | 20min<br>1hr<br>24hr | −416.63−410.82<br>−416.74−414.77<br>−416.77−416.29 | −418.73−452.00<br>−417.75−432.34<br>−416.78−422.12 | | 1 |
| Image | KernelSize,<br>Connectivity | Time | Upper-bound<br>SDBCMPLP-CP-v2 | Lower-bound<br>SDBCMPLP-CP-v2 |
| --- | --- | --- | --- | --- |
| “1234” | 3×3,23 | 20min<br>1hr<br>24hr | −601.31−601.31<br>−601.31−601.31<br>−601.31−601.31 | −601.42−601.31<br>−601.32−601.31<br>−601.31−601.31 |
| “1234” | 5×5,70 | 20min<br>1hr<br>24hr | −550.99−550.81<br>−551.02−550.95<br>−551.02−551.02 | −551.84−551.87<br>−551.26−551.30<br>−551.02−551.06 |
| “1234” | 7×7,136 | 20min<br>1hr<br>24hr | −478.07−474.19<br>−478.15−477.47<br>−478.16−477.84 | −479.82−500.90<br>−478.74−487.26<br>−478.16−480.46 | | | Foreman | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 18.96,0.610<br>23.35,0.777<br>19.64,0.645<br>19.42,0.639<br>34.01,0.934 | 21.06,0.680<br>26.81,0.808<br>22.33,0.695<br>22.07,0.687<br>34.61,0.936 | 25.48,0.726<br>28.47,0.821<br>28.09,0.809<br>26.31,0.750<br>35.18,0.937 | 29.80,0.831<br>29.45,0.828<br>31.68,0.865<br>29.12,0.813<br>35.33,0.939 | 31.69,0.866<br>30.02,0.833<br>34.15,0.900<br>31.90,0.872<br>36.02,0.939 |
| --- | --- | --- | --- | --- | --- | --- |
| House | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 18.12,0.518<br>22.57,0.706<br>18.80,0.554<br>17.74,0.492<br>30.42,0.873 | 20.35,0.590<br>24.58,0.724<br>21.77,0.620<br>19.93,0.577<br>31.76,0.884 | 25.79,0.755<br>26.36,0.740<br>27.16,0.761<br>24.00,0.693<br>33.07,0.898 | 29.78,0.816<br>27.63,0.766<br>31.23,0.835<br>27.39,0.758<br>34.32,0.910 | 30.50,0.824<br>28.68,0.814<br>33.66,0.869<br>29.84,0.818<br>34.80,0.913 |
| Lena | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.09,0.427<br>21.60,0.671<br>16.71,0.461<br>15.53,0.399<br>28.51,0.881 | 18.22,0.511<br>23.23,0.693<br>19.07,0.545<br>17.21,0.485<br>29.70,0.894 | 20.47,0.603<br>23.88,0.697<br>21.36,0.649<br>19.93,0.567<br>29.85,0.889 | 23.55,0.694<br>24.41,0.701<br>25.47,0.746<br>22.29,0.681<br>30.42,0.898 | 24.63,0.729<br>24.81,0.705<br>25.82,0.771<br>24.60,0.733<br>30.65,0.896 |
| Monarch | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 14.55,0.352<br>17.31,0.537<br>14.69,0.357<br>14.01,0.334<br>26.14,0.884 | 15.24,0.390<br>18.91,0.577<br>16.03,0.413<br>14.86,0.366<br>27.28,0.895 | 17.65,0.500<br>19.82,0.595<br>18.53,0.552<br>17.55,0.497<br>28.21,0.901 | 19.75,0.581<br>20.56,0.611<br>21.84,0.686<br>19.84,0.587<br>28.97,0.904 | 21.64,0.666<br>21.24,0.624<br>25.12,0.796<br>21.77,0.675<br>29.25,0.904 |
| Parrots | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.62,0.506<br>21.11,0.714<br>17.39,0.550<br>16.89,0.520<br>28.28,0.899 | 19.32,0.613<br>22.90,0.722<br>20.84,0.681<br>19.55,0.619<br>28.88,0.893 | 23.070.693<br>23.47,0.714<br>24.95,0.782<br>22.62,0.684<br>29.22,0.890 | 25.04,0.761<br>24.38,0.770<br>28.18,0.835<br>24.10,0.711<br>29.55,0.887 | 26.10,0.787<br>25.84,0.804<br>30.35,0.875<br>26.31,0.792<br>29.84,0.885 |
| Average | BM3D-CS<br>TVAL3<br>NLR-CS<br>D-AMP<br>Ours | 16.80,0.454<br>21.15,0.648<br>17.28,0.477<br>16.29,0.438<br>28.77,0.876 | 18.57,0.518<br>23.02,0.676<br>19.68,0.551<br>18.41,0.509<br>29.71,0.884 | 21.61,0.605<br>23.98,0.685<br>23.00,0.654<br>21.43,0.610<br>30.18,0.886 | 24.42,0.690<br>24.72,0.703<br>26.27,0.747<br>23.75,0.675<br>30.77,0.891 | 25.85,0.738<br>25.47,0.732<br>28.25,0.805<br>25.91,0.745<br>31.10,0.890 | | 0 |
| IU | Goals | TaskStates | Abilities | Behaviours |
| --- | --- | --- | --- | --- |
| 1 | HandsClean,HandsWashed | handscdirty | Af:dispenser | Latherhands |
| 2 | HandsClean,HandsWashed | tapoff | Rn:tapoff | Turnontap |
| 3 | HandsClean,HandsWashed | handscsoapy,tapon | Af:water | Rinsehands |
| 4 | HandsClean,HandsWashed | handscclean,handswwet | Af:towel | Dryhands | | | 5 | HandsClean,HandsWashed | handscclean,tapon | Rn:tapon | Turnofftap |
| --- | --- | --- | --- | --- |
| 6 | HandsClean,HandsWashed | handscclean,handswdry<br>tapoff | Af:handswashed | Taskcomplete | | 1 |
| IU | Goals | TaskStates | Abilities | Behaviours |
| --- | --- | --- | --- | --- |
| 1 | HandsClean,HandsWashed | handscdirty | Af:dispenser | Latherhands |
| 2 | HandsClean,HandsWashed | tapoff | Rn:tapoff | Turnontap |
| 3 | HandsClean,HandsWashed | handscsoapy,tapon | Af:water | Rinsehands |
| 4 | HandsClean,HandsWashed | handscclean,handswwet | Af:towel | Dryhands | | | IU | Goals | TaskStates | Abilities | Behaviours |
| --- | --- | --- | --- | --- |
| 1 | Final,wetbrush | teethdirty,tapoff | Af:tap | Turnontap |
| 2 | Final,wetbrush | teethdirty,brushonsurface | Rn:brushonsurface | Takebrushfromsurface |
| 3 | Final,wetbrush | teethdirty,brushincup | Rn:brushincup | Takebrushfromcup |
| 4 | Final,wetbrush | teethdirty,tapon,brushinhand | Af:water | Wetbrush | | 0 |
| IU | Goals | TaskStates | Abilities | Behaviours |
| --- | --- | --- | --- | --- |
| 1 | HandsClean,HandsWashed | handscdirty | Af:dispenser | Latherhands |
| 2 | HandsClean,HandsWashed | tapoff | Rn:tapoff | Turnontap |
| 3 | HandsClean,HandsWashed | handscsoapy,tapon | Af:water | Rinsehands | | | 4 | HandsClean,HandsWashed | handscclean,handswwet | Af:towel | Dryhands |
| --- | --- | --- | --- | --- |
| 5 | HandsClean,HandsWashed | handscclean,tapon | Rn:tapon | Turnofftap |
| 6 | HandsClean,HandsWashed | handscclean,handswdry<br>tapoff | Af:handswashed | Taskcomplete | | 1 |
| IU | Goals | TaskStates | Abilities | Behaviours |
| --- | --- | --- | --- | --- |
| 1 | HandsClean,HandsWashed | handscdirty | Af:dispenser | Latherhands |
| 2 | HandsClean,HandsWashed | tapoff | Rn:tapoff | Turnontap |
| 3 | HandsClean,HandsWashed | handscsoapy,tapon | Af:water | Rinsehands | | | 3 | Final,wetbrush | teethdirty,brushincup | Rn:brushincup | Takebrushfromcup |
| --- | --- | --- | --- | --- |
| 4 | Final,wetbrush | teethdirty,tapon,brushinhand | Af:water | Wetbrush | | 0 |
| FineTuning | GradualTuning | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| Reg | Task-B | Task-A | Epochs | Task-B | Task-A | Epochs | | | No | 2.01±0.03 | 1.5→4.3±0.9 | 117±70 | 1.99±0.05 | 1.5→2.6±0.1 | 147±39 |
| --- | --- | --- | --- | --- | --- | --- |
| L1 | 1.92±0.05 | 1.6→3.4±1.3 | 188±54 | 1.88±0.02 | 1.6→2.0±0.1 | 245±59 |
| Drop | 1.66±0.05 | 1.3→12.1±0.6 | 102±17 | 1.52±0.05 | 1.3→3.9±0.3 | 138±35 | | 1 |
| FineTuning | GradualTuning | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| Reg | Task-B | Task-A | Epochs | Task-B | Task-A | Epochs | | | FineTuning | GradualTuning | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| Reg | Task-B | Task-A | Epochs | Task-B | Task-A | Epochs |
| No | 2.25±0.04 | 6.7→13.3±0.2 | 73±52 | 2.33±0.09 | 6.7→9.5±0.3 | 47±16 |
| L1 | 1.60±0.05 | 4.7→20.5±2.9 | 23±13 | 1.61±0.06 | 4.7→11.9±3.2 | 37±15 |
| Drop | 1.58±0.10 | 5.9→20.5±1.1 | 113±21 | 1.55±0.18 | 5.9→20.0±1.5 | 145±46 | | 0 |
| FineTuning | GradualTuning | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| Reg | Task-B | Task-A | Epochs | Task-B | Task-A | Epochs |
| No | 2.01±0.03 | 1.5→4.3±0.9 | 117±70 | 1.99±0.05 | 1.5→2.6±0.1 | 147±39 | | | L1 | 1.92±0.05 | 1.6→3.4±1.3 | 188±54 | 1.88±0.02 | 1.6→2.0±0.1 | 245±59 |
| --- | --- | --- | --- | --- | --- | --- |
| Drop | 1.66±0.05 | 1.3→12.1±0.6 | 102±17 | 1.52±0.05 | 1.3→3.9±0.3 | 138±35 | | 1 |
| FineTuning | GradualTuning | | | | | |
| --- | --- | --- | --- | --- | --- | --- |
| Reg | Task-B | Task-A | Epochs | Task-B | Task-A | Epochs |
| No | 2.01±0.03 | 1.5→4.3±0.9 | 117±70 | 1.99±0.05 | 1.5→2.6±0.1 | 147±39 | | | No | 2.25±0.04 | 6.7→13.3±0.2 | 73±52 | 2.33±0.09 | 6.7→9.5±0.3 | 47±16 |
| --- | --- | --- | --- | --- | --- | --- |
| L1 | 1.60±0.05 | 4.7→20.5±2.9 | 23±13 | 1.61±0.06 | 4.7→11.9±3.2 | 37±15 |
| Drop | 1.58±0.10 | 5.9→20.5±1.1 | 113±21 | 1.55±0.18 | 5.9→20.0±1.5 | 145±46 | | 0 |
| Server | PowerandCooling |
| --- | --- |
| 68 | 38 |
| 44 | 25 |
| 62 | 12 |
| 59 | 37 |
| 49 | 10 |
| 54 | 20 |
| 59 | 18 |
| 78 | 25 |
| 73 | 25 | | | 49 | 10 |
| --- | --- |
| 75 | 21 |
| 61 | 19 |
| 57 | 28 |
| 61 | 34 |
| 56 | 34 |
| 56 | 11 |
| 66 | 12 | | 1 |
| Server | PowerandCooling |
| --- | --- |
| 68 | 38 |
| 44 | 25 |
| 62 | 12 |
| 59 | 37 |
| 49 | 10 |
| 54 | 20 |
| 59 | 18 |
| 78 | 25 |
| 73 | 25 | | | NetworkgroupID | N | minc | maxc | µ | On |
| --- | --- | --- | --- | --- | --- |
| N1 | 1000 | 10 | 50 | 0-0.5 | 100 |
| N2 | 1000 | 20 | 100 | 0-0.5 | 100 |
| N3 | 5000 | 10 | 50 | 0-0.5 | 500 |
| N4 | 5000 | 20 | 100 | 0-0.5 | 500 |
| N5 | 1000 | 10 | 50 | 0.1 | 0-500 |
| N6 | 1000 | 20 | 100 | 0.1 | 0-500 |
| N7 | 5000 | 10 | 50 | 0.1 | 0-2000 |
| N8 | 5000 | 20 | 100 | 0.1 | 0-2000 | | 0 |
| Server | PowerandCooling |
| --- | --- |
| 68 | 38 |
| 44 | 25 |
| 62 | 12 |
| 59 | 37 |
| 49 | 10 |
| 54 | 20 |
| 59 | 18 |
| 78 | 25 |
| 73 | 25 |
| 49 | 10 |
| 75 | 21 | | | 61 | 19 |
| --- | --- |
| 57 | 28 |
| 61 | 34 |
| 56 | 34 |
| 56 | 11 |
| 66 | 12 | | 1 |
| Server | PowerandCooling |
| --- | --- |
| 68 | 38 |
| 44 | 25 |
| 62 | 12 |
| 59 | 37 |
| 49 | 10 |
| 54 | 20 |
| 59 | 18 |
| 78 | 25 |
| 73 | 25 |
| 49 | 10 |
| 75 | 21 | | | N2 | 1000 | 20 | 100 | 0-0.5 | 100 |
| --- | --- | --- | --- | --- | --- |
| N3 | 5000 | 10 | 50 | 0-0.5 | 500 |
| N4 | 5000 | 20 | 100 | 0-0.5 | 500 |
| N5 | 1000 | 10 | 50 | 0.1 | 0-500 |
| N6 | 1000 | 20 | 100 | 0.1 | 0-500 |
| N7 | 5000 | 10 | 50 | 0.1 | 0-2000 |
| N8 | 5000 | 20 | 100 | 0.1 | 0-2000 | | 0 |
| CSPcategory | numberofinstances |
| --- | --- |
| Realworld | 80 |
| Patterned | 36 | | | Academic | 48 |
| --- | --- |
| Quasirandom | 28 |
| Purerandom | 36 |
| Boolean | 92 | | 1 |
| CSPcategory | numberofinstances |
| --- | --- |
| Realworld | 80 |
| Patterned | 36 | | | language | finalstates | language | finalstates |
| --- | --- | --- | --- |
| L | 3,7,8 | pcpc(L) | 1,5,6,7 |
| c(L) | 1,2,4,5,6 | cpcp(L) | 2,3,6,7 |
| p(L) | 1,2,3,5,6,7,8 | cpcpc(L) | 2,3,4,8 |
| pc(L) | 1,2,3,4,5,6,8 | pcpcp(L) | 1,2,3,5,6,7 |
| cp(L) | 4 | pcpcpc(L) | 1,2,3,4,5,8 |
| cpc(L) | 7 | cpcpcp(L) | 4,8 |
| pcp(L) | 1,4,5,8 | cpcpcpc(L) | 6,7 | | 0 |
| CSPcategory | numberofinstances |
| --- | --- |
| Realworld | 80 |
| Patterned | 36 | | | Academic | 48 |
| --- | --- |
| Quasirandom | 28 |
| Purerandom | 36 |
| Boolean | 92 | | 1 |
| CSPcategory | numberofinstances |
| --- | --- |
| Realworld | 80 |
| Patterned | 36 | | | cpc(L) | 7 | cpcpcp(L) | 4,8 |
| --- | --- | --- | --- |
| pcp(L) | 1,4,5,8 | cpcpcpc(L) | 6,7 | | 0 |
| | DiceScore | | | |
| --- | --- | --- | --- | --- |
| LV | RV | MYO | LV | RV | | | ED | ES | ED | ES | ED | ES | ED | ES | ED | ES | ED | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| CELoss | 0.95 | 0.90 | 0.87 | 0.76 | 0.79 | 0.82 | 13.92 | 17.67 | 27.40 | 27.73 | 23.81 |
| DiceLoss | 0.95 | 0.90 | 0.90 | 0.79 | 0.86 | 0.88 | 9.51 | 12.29 | 16.1 | 20.38 | 13.45 |
| Dice-CELoss | 0.95 | 0.90 | 0.89 | 0.81 | 0.83 | 0.84 | 9.15 | 11.7 | 16.0 | 18.22 | 13.87 | | 1 |
| | DiceScore | | | |
| --- | --- | --- | --- | --- |
| LV | RV | MYO | LV | RV | | | 200 | 400 | 600 | 800 |
| --- | --- | --- | --- |
| 0.965 | 0.967 | 0.967 | 0.967 |
| 0.968 | 0.970 | 0.970 | 0.968 |
| 0.968 | 0.968 | 0.967 | 0.968 |
| 0.969 | 0.972 | 0.970 | 0.969 |
| 0.831 | 0.842 | 0.845 | 0.846 |
| 0.846 | 0.851 | 0.852 | 0.853 |
| 0.842 | 0.849 | 0.854 | 0.849 |
| 0.876 | 0.874 | 0.866 | 0.868 |
| 0.658 | 0.650 | 0.654 | 0.655 |
| 0.712 | 0.705 | 0.701 | 0.702 |
| 0.680 | 0.690 | 0.694 | 0.695 |
| 0.715 | 0.709 | 0.714 | 0.715 | | 0 |
| | DiceScore | | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| LV | RV | MYO | LV | RV | | | | | | |
| ED | ES | ED | ES | ED | ES | ED | ES | ED | ES | ED | | | CELoss | 0.95 | 0.90 | 0.87 | 0.76 | 0.79 | 0.82 | 13.92 | 17.67 | 27.40 | 27.73 | 23.81 |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| DiceLoss | 0.95 | 0.90 | 0.90 | 0.79 | 0.86 | 0.88 | 9.51 | 12.29 | 16.1 | 20.38 | 13.45 |
| Dice-CELoss | 0.95 | 0.90 | 0.89 | 0.81 | 0.83 | 0.84 | 9.15 | 11.7 | 16.0 | 18.22 | 13.87 | | 1 |
| | DiceScore | | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| LV | RV | MYO | LV | RV | | | | | | |
| ED | ES | ED | ES | ED | ES | ED | ES | ED | ES | ED | | | 0.968 | 0.968 | 0.967 | 0.968 |
| --- | --- | --- | --- |
| 0.969 | 0.972 | 0.970 | 0.969 |
| 0.831 | 0.842 | 0.845 | 0.846 |
| 0.846 | 0.851 | 0.852 | 0.853 |
| 0.842 | 0.849 | 0.854 | 0.849 |
| 0.876 | 0.874 | 0.866 | 0.868 |
| 0.658 | 0.650 | 0.654 | 0.655 |
| 0.712 | 0.705 | 0.701 | 0.702 |
| 0.680 | 0.690 | 0.694 | 0.695 |
| 0.715 | 0.709 | 0.714 | 0.715 | | 0 |
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