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20190223_nlpaperchallenge_CV_4.3to5.5
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yoppe
February 23, 2019
Science
2
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20190223_nlpaperchallenge_CV_4.3to5.5
Presentation at
https://nlpaper-challenge.connpass.com/event/118557/
.
yoppe
February 23, 2019
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Transcript
ୈ2ճ nlpaper.challenge NLP/CV ަྲྀษڧձ ը૾ೝࣝ ୈ4.3ষ~ୈ5.5ষ 20190223 Yohei KIKUTA
ࣗݾհ • Twitter ID @yohei_kikuta • Resume • ࠷ۙୀ৬ͯ͠ແ৬ʹͳΓ·ͨ͠ ϒϩάΤϯτϦ
ແ৬ͱͯ͠Έ͍ͨਓ͓͕͚͍ͩ͘͞ʂ ΫοΫύουྑ͍ձࣾͳͷͰస৬͍ͨ͠ਓͥͻͲ͏ͧʂ
ଟ༷ମֶश͚ͩৄ͘͠Γ·͢ • ը૾ೝࣝ ຊͷ 4.3~5.5 Λൃද • ہॴಛʹ͔ؔͯ͠ͳΓߴີͰ࣌ؒʹ͖͠Εͳ͍ ଟ༷ମֶश ΧʔωϧؔۙࣅʢಛʹͦͷͨΊͷجૅ͕ࣝॏ͍ʣ
ͦͷ΄͔༷ʑͳ • શମͷ·ͱΊͱུ֓Λہॴಛͷ෦Λܰ͘આ໌ͨ͠ޙɺଟ ༷ମֶशΛৄ͘͠આ໌ Q. ͳͥଟ༷ମֶशͳͷ͔ʁ A. ͕ࣗগ͠ਅ໘ʹษڧͯ͠Έ͔͔ͨͬͨΒ
4.3~4.6 ͷ·ͱΊ ہॴಛͰࣦΘΕۭͨؒใΛ༩ͨ͠Γ͢Δʢ4.6ʣ
5.1~5.5 ͷ·ͱΊ ʢ֬తʣޯ߱Լ๏χϡʔτϯ๏Ͱύϥϝλ w Λֶश
ہॴಛΛ༻͍ͨ࠶ߏங ͜Ε݁ہͲͷล͕ଟ༷ମͳͷ͔ʁ ͱ͍͏͕ฉ͖͑ͯͦ͜͏͕ͩɺͦΕޙͰগ͠ৄ͘͠આ໌
ಛࣸ૾ʹΑΔΧʔωϧͷۙࣅ ػցֶशʹଌ͍Δͷʁͱ͍͏ٙΛ࣋ͭਓ Mercer’s theorem ͱ͔ Bochner’s theorem ͱ͔Λݟ·͠ΐ͏
ۭؒใͷ׆༻ • ϓʔϦϯάʹΑࣦͬͯΘΕΔҐஔใΛखͰՃ͑Δ • ہॴهड़ࢠͷҐஔεέʔϧΛՃ͑Δ • ہॴهड़ࢠͷࣗݾ૬ؔߦྻͷཁૉΛՃ͑Δ • spatial pyramid
ϓʔϦϯάޙͷಛʹۭؒใΛ༩
ଟ༷ମֶश ଟ༷ମֶशʹͯ͠গ͠ৄ͘͠આ໌͢Δʢݸਓతڵຯʣ આ໌͢ΔͷҎԼͷτϐοΫɿ • ͦͦଟ༷ମͱʁʢֶతʹݫີͳ͠ͳ͍ʣ • ଟ༷ମֶशʹࢸΔϞνϕʔγϣϯ • Ұͭͷྫͱͯ͠ہॴ࠲ඪ coding
ͷվળͷจΛհ [140] K. Yu, T. Zhang. Improved local coordinate coding using local tangents. In ICML, 2010.
ଟ༷ମͱʁ ہॴతʹ Euclid ۭؒͰهड़Ͱ͖ΔਤΛషΓ߹ΘͤͯදͤΔ ྫʣද໘Λߟ͑Δ ※ Φ ͱ Θ ͚ͩͰ࠲ඪܥషΓ͖Εͳ͍ʢશͳٿͰͳ͍ʣ
ہॴతʢզʑͷৗεέʔϧʣʹ Euclid ࠲ඪͰهड़Ͱ͖Δ ͦͷ࠲ඪΛషΓ߹ΘͤΕද໘શମΛΧόʔͰ͖Δ ͦͷΑ͏ͳషΓ߹ΘͤͷใͰ 3 ࣍ݩͷٿͷใٞՄ
ଟ༷ମͱʁ σʔλͷॅΉۭؒಉ͡Α͏ͳͷͩͱ૾͞ΕΔ ͜ͷΑ͏ͳঢ়گͰɺྫ͑ೋؒͷڑΛଌΔͱ͖ʹߴ࣍ݩۭ ؒͰͷ Euclid ڑෆద͔͠Εͳ͍ → ଟ༷ମʹԊͬͯڑΛଌΔํ͕ੑ࣭Λଊ͑ΒΕͦ͏ʢଌઢʣ → ใزԿʹ͓͚Δࣗવޯ๏ͳͲ͜ΕΛ͍ͬͯΔ
ଟ༷ମֶशʹࢸΔಈػ • ࣍ݩͷढ͍ͷճආ ྫʣσʔλେྔʹ͋Ε kNN Ͱ͍͍͡ΌΜ → μϝͰ͢ • σʔλͷ༗͢ΔಛΛΑΓྑ͘Ѳ
ઌ΄ͲͷྫͷΑ͏ʹ୯ͳΔ Euclid ڑ͕ෆద͔͠Εͳ͍ ྫʣࣗવޯ๏ɺt-SNE • ༷ʑͳΞϓϩʔν͔Β৽ͨͳݟ͕ಘΒΕΔ͔ ඍزԿతͳΞϓϩʔνʢہॴతʣˠ େମͷͬͪ͜ Ґ૬زԿతͳΞϓϩʔνʢେҬతʣˠ ࠓ৮Εͳ͍
ʢิʣ࣍ݩͷढ͍ • ಛྔͷ࣍ݩ͕େ͖͗͢Δ߹ Ϟσϧ͕ෳࡶ͗ͯ͢దʹֶशͰ͖ͳ͍ • σʔλۭؒͷ࣍ݩ͕େ͖͗͢Δ߹ ྫͱͯ͠ΫϥελϦϯάΛߟ͑Δ ٿ໘ूதݱʹΑΓɺҟͳΔؒͷڑ͕͘͠ͳ͍ͬͯ͘ ݁Ռͱͯ͠ A
͔Βݟͯ B C ΄΅ಉ͡Ͱ۠ผෆՄ ʢ࣍ݩͷढ͍ͷ ͡Ίͯͷύλʔϯೝࣝ ͕ৄ͍͠ʣ
ଟ༷ମֶशͷྫ ہॴ࠲ඪ coding Λվળ͢Δ͜ͱΛߟ͑Δ K. Yu, T. Zhang. Improved local
coordinate coding using local tangents. In ICML, 2010. ࠷ऴతͳඪσʔλ͕͢ଟ༷ମͷࡏతͳ࣍ݩʢPCA Ͱٻ ΊΔʣΛߟྀ͠ɺͦͷใΛͬͯ coding Λิਖ਼
४උ
ہॴ࠲ඪ coding ʹΑΔۙࣅ
(4.79) ࣜͷূ໌
ہॴ࠲ඪ coding ͷֶश๏
֦ுہॴ࠲ඪ coding
σʔλଟ༷ମͷఆٛ
ہॴಛ coding with u ূ໌ུʢઌ΄Ͳͷূ໌͕͔ͬͯΕ͘͠ͳ͍ʣ u (local) PCA ͳͲͰٻΊɺm
खͰܾΊΔύϥϝλ c(M) ؔʹ͓͚ΔϦϓγοπఆʹ૬ ॏཁͳͷ c(M) ͕খ͍͞߹ʹ bound ͕Ωπ͘ͳΔͱ͍͏͜ͱ → ͜Εখ͞ͳྖҬͰσʔλଟ༷ମ͕ flat ͳߏͰ͋Δ߹ → “ఆੑత” ͳԾఆͰ flat Ͱͳͯ͘༗ޮͳ߹͋ΓಘΔ
ֶशΞϧΰϦζϜ จͷΞϧΰϦζϜࡌͤΔʢs, m hyperparameterʣ
࣮ݧ݁ՌɿMNIST Cross validation ʹΑΓ s = 0, m = 64
୯७ͳہॴಛ coding ͱൺΔͱ anchor ͕গͳͯ͘ྑ͍
࣮ݧ݁ՌɿCIFAR10 Cross validation ʹΑΓ s = 10, m = 256
ͪ͜Β anchor ͕গͳͯ͘ྑ͍݁ՌΛ͍ࣔͯ͠Δ
ଟ༷ମֶशʹཱͭ • σʔλͷߏΛ͏·͘ଊ͑ͯ༗༻ͳಛྔΛ࡞Εͨ • ہॴੑʹΛ͠ͳ͕Βߴ࣍ݩใΛ࣍ݩͰۙࣅ • ࣮ࡍʹࣝผੑೳ্͕ • σΟʔϓϥʔχϯάͰଟ༷ମֶशڵຯਂ͍τϐοΫ ใزԿ
ϦʔϚϯଟ༷ମ্ͰֶशΛఆࣜԽ …
4.3~4.6 ͷ·ͱΊʢ࠶ܝʣ ہॴಛͰࣦΘΕۭͨؒใΛ༩ͨ͠Γ͢Δʢ4.6ʣ