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What is Deep Learning ?
(Japanese document)
History and introductions of Neural Network,
社内ゼミでの資料です。
urakarin
May 02, 2017
Transcript
66 slides
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͢͜ͱɺ͞ͳ͍͜ͱ • ͢͜ͱ • χϡʔϥϧωοτϫʔΫͷֶతͳΈ • ॳظͷܾΊํɺධՁํ๏ • ύϥϝʔλྔɺܭࢉྔͷϘϦϡʔϜײ •
ϗοτͳ • ͞ͳ͍͜ͱ • πʔϧͷ • ࣜͷ • χϡʔϥϧωοτϫʔΫҎ֎ͷػցֶश • γϯΪϡϥϦςΟͳͲͷਓೳͷະདྷ ग़య wedge.ismedia.jp -
Agenda • σΟʔϓϥʔχϯάͱʁ • ྺ࢙ • χϡʔϥϧωοτϫʔΫ͔ΒσΟʔϓͳχϡʔϥϧωοτϫʔΫ • ୈҰ࣍AIϒʔϜ •
ୈೋ࣍AIϒʔϜ • ୈࡾ࣍AIϒʔϜ • Ԡ༻ྫ • ·ͱΊ -
• ਂֶशͱݴ͏ • ʢਆܦࡉ๔ʣͷಇ͖Λֶͨ͠शΞϧΰϦζϜͰ͋Δ Neural Network(NN)Λ༻͍ͨਓೳͷߏஙٕज़ͷ૯শ • ͦͷதͰਂ͘େنͳߏΛ࣋ͭ͜ͱ͕ಛ σΟʔϓϥʔχϯάͱʁ
GoogLeNet, 22Layers (ILSVRC 2014) -
දతͳൃද Neural Networkͷ ϒϨʔΫεϧʔͱ ౙͷ࣌ දతͳਓࡐ֫ಘ Google ͕DNN ResearchΛങऩ )JOUPO
Google ͕ Deep MindΛങऩ Baidu ͕Institute of Deep LearningΛઃཱ "OESFX/H Facebook ͕AI Research Lab.Λઃཱ -F$VO SGD (Amari) Neocognitron (Fukushima) Boltzmann Machine (Hinton+) Conv. net (LeCun+) Sparse Coding (Olshausen&Field) 1950 1960 1970 1980 1990 2000 2010 2020 Microsoft ͕MaluubaΛങऩ #FOHJP ୈҰ࣍"*ϒʔϜ ਪɾ୳ࡧ ୈೋ࣍"*ϒʔϜ ࣝදݱ &YQFSU4ZTUFN ୈࡾ࣍"*ϒʔϜ ػցֶश ਂֶश Perceptron (Rosenblatt) Back Propagation (Rumelhart) Deep Learning (Hinton+) Big Data GPU Cloud Computing ઢܗෆՄೳ YPS͕ղ͚ͳ͍ ͍ɺաֶशɺ 47.ਓؾ χϡʔϥϧωοτϫʔΫͷྺ࢙ NN ୈҰͷౙ NN ୈೋͷౙ -
ڭࢣ৴߸ ޡࠩؔ ೖྗ ग़ྗ தؒ 1 1 1 x y
t ⇥w 4 ⇥ w3 ⇥w2 ⇥w1 x1 x2 x3 x4 ⇥w 0 ⌃f y1 y2 y3 1. ଟԽ 2. ׆ੑԽؔ 3. ޡࠩؔ 4. ޡࠩٯൖ๏ ଟύʔηϓτϩϯʢMLPʣ -
ଟԽʹΑͬͯxorͷ࣮ݱ NAND OR AND s2 s1 x1 x2 y x1
x2 s1 s2 y 0 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 = 1. ଟԽ -
γάϞΠυؔɾۂઢਖ਼ؔ ඍ͕Ͱ͖ͳ͍ ֶशͰ͖ͳ͍ ʢޡࠩٯൖ๏ʣ ʹೖྗ৴߸ͷ૯Λग़ྗ৴߸ʹม͢Δؔ ׆ੑԽؔ 2. ׆ੑԽؔ 1 ⇥w
4 ⇥ w3 ⇥w2 ⇥w1 x1 x2 x3 x4 ⇥w 0 ⌃f εςοϓؔ ύʔηϓτϩϯͷ߹ -
3. ଛࣦؔ ޡࠩؔʢଛࣦؔʣ 1 2 N X n=1 ky tk2
N Y n=1 p(dn | x ) d=0/1ͷࣄޙ֬pʹରͯ͠࠷ਪఆΛߦ͏ ೋޡࠩͱ͢Δ ڭࢣ৴߸ ޡࠩؔ ग़ྗ y t y1 y2 y3 ճؼ ೋྨ ଟΫϥεྨ ڭࢣ৴߸ΛOne-hotදݱͱ͠ɺ ࠷ऴஈͷ׆ੑԽؔΛιϑτϚοΫεؔͱ্ͨ͠Ͱ ަࠩΤϯτϩϐʔؔ -
ڭࢣ৴߸ ޡࠩؔ ೖྗ ग़ྗ தؒ 1 1 1 x y
t ⇥w 4 ⇥ w3 ⇥w2 ⇥w1 x1 x2 x3 x4 ⇥w 0 ⌃f y1 y2 y3 4. ޡࠩٯൖ๏ ޡࠩٯൖ๏ -
+ ^2 x y t z @z @z @z @z
@z @t @z @z @z @t @t @x ͨͱ͑ z = ( x + y )2 ͱ͍͏ࣜ z = t2 t = x + y ͱ͍͏2ͭͷࣜͰߏ͞ΕΔɻ ࿈ͱɺ߹ؔͷඍʹ͍ͭͯͷੑ࣭Ͱ͋Δ @z @x = @z @t @t @x ޡࠩٯൖ๏ 4. ޡࠩٯൖ๏ -
ޡࠩٯൖ๏ Ճࢉϊʔυͷٯൖ + x y z + @L @z @L
@z · 1 @L @z · 1 ࢉϊʔυͷٯൖ x y z ⇥ @L @z ⇥ @L @z · x @L @z · y 4. ޡࠩٯൖ๏ 2 100 ⇥ ⇥ 200 1.1 220 1 1.1 200 110 2.2 ΓΜ͝ͷݸ ফඅ੫ ɹ۩ମྫɹ -
֬తޯ߱Լ๏ • ϛχόονֶश • ֶशͷߋ৽ํ๏ • Momentum • AdaGrad •
Adam • RMSProp -
Auto Encoder Deep Belief Network v3 h2 v1 h1 v2
Visible Hidden Visible Hidden Visible Hidden RBM RBM RBM 4UBDLFE "VUP&ODPEFS "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث ଟஈԽ ʴϩόετੑ "VUP&ODPEFS ࣗݾූ߸Խث AE %FOPJTJOH "VUP&ODPEFS DAE SAE pre-training + fine tuning ࠾༻ ֶश Input Hidden Output %FFQ#FMJFG /FUXPSL )PQpFME /FUXPSL #PMU[NBOO .BDIJOF ֬Ϟσϧ ܭࢉྔͷݮ ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ଟஈԽ ੍͖ #PMU[NBOO .BDIJOF RBM DBN pre-training + fine tuning -
දతͳൃද Neural Networkͷ ϒϨʔΫεϧʔͱ ౙͷ࣌ දతͳਓࡐ֫ಘ Google ͕DNN ResearchΛങऩ )JOUPO
Google ͕ Deep MindΛങऩ Baidu ͕Institute of Deep LearningΛઃཱ "OESFX/H Facebook ͕AI Research Lab.Λઃཱ -F$VO SGD (Amari) Neocognitron (Fukushima) Boltzmann Machine (Hinton+) Conv. net (LeCun+) Sparse Coding (Olshausen&Field) 1950 1960 1970 1980 1990 2000 2010 2020 Microsoft ͕MaluubaΛങऩ #FOJHO ୈҰ࣍"*ϒʔϜ ਪɾ୳ࡧ ୈೋ࣍"*ϒʔϜ ࣝදݱ &YQFSU4ZTUFN ୈࡾ࣍"*ϒʔϜ ػցֶश ਂֶश Perceptron (Rosenblatt) Back Propagation (Rumelhart) Deep Learning (Hinton+) Big Data GPU Cloud Computing ઢܗෆՄೳ YPS͕ղ͚ͳ͍ ͍ɺաֶशɺ 47.ਓؾ χϡʔϥϧωοτϫʔΫͷྺ࢙ NN ୈҰͷౙ NN ୈೋͷౙ -
ωο τϫʔΫͷΤωϧΪʔ͕࠷খʹͳΔΑ͏ʹঢ়ଶมԽΛ܁Γฦ͢ %FFQ#FMJFG /FUXPSL )PQpFME /FUXPSL #PMU[NBOO .BDIJOF ֬Ϟσϧ ܭࢉྔͷݮ
੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ଟஈԽ ੍͖ #PMU[NBOO .BDIJOF RBM DBN pre-training + fine tuning هԱ1 هԱ2 هԱΛࢥ͍ग़͢ ͍ۙ͠σʔλΛ༩͑Δͱ… ը૾ΛهԱͨ͠ωοτϫʔΫ Hopfield Networkͱ هԱΛߦྻܭࢉͰγϛϡϨʔτͯ͠ΈΑ͏ http://www.gaya.jp/spiking_neuron/matrix.htm -
%FFQ#FMJFG /FUXPSL )PQpFME /FUXPSL #PMU[NBOO .BDIJOF ֬Ϟσϧ ܭࢉྔͷݮ ੍͖ #PMU[NBOO
.BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ଟஈԽ ੍͖ #PMU[NBOO .BDIJOF RBM DBN pre-training + fine tuning Boltzmann Machineͱ ֬Ϟσϧͷಋೖ Kullback LeiblerμΠόʔδΣϯε 2ͭͷۂઢʹ͍ͭͯɺॏͳΒͣʹ૬ҧʢμΠόʔδΣϯεʣ͍ͯ͠ΔྖҬʢࠩʣΛ࠷খԽ͢Δɻ ࣮ࡍͷೖྗʹ ΑΔ֬p ෮ݩ͞Εͨq ࠩͷੵ -
%FFQ#FMJFG /FUXPSL )PQpFME /FUXPSL #PMU[NBOO .BDIJOF ֬Ϟσϧ ܭࢉྔͷݮ ੍͖ #PMU[NBOO
.BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ଟஈԽ ੍͖ #PMU[NBOO .BDIJOF RBM DBN pre-training + fine tuning ੍͖Boltzmann Machine (RBN)ͱ v3 h2 v1 h1 v2 Visible Hidden -
%FFQ#FMJFG /FUXPSL )PQpFME /FUXPSL #PMU[NBOO .BDIJOF ֬Ϟσϧ ܭࢉྔͷݮ ੍͖ #PMU[NBOO
.BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ଟஈԽ ੍͖ #PMU[NBOO .BDIJOF RBM DBN pre-training + fine tuning Deep Belief Network (DBN)ͱ Visible Hidden Visible Hidden Visible Hidden RBM RBM RBM pre-training(ڭࢣͳ͠) + fine tuning (ڭࢣ͋Γ) -
Auto Encoder Deep Belief Network v3 h2 v1 h1 v2
Visible Hidden Visible Hidden Visible Hidden RBM RBM RBM 4UBDLFE "VUP&ODPEFS "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث ଟஈԽ ʴϩόετੑ "VUP&ODPEFS ࣗݾූ߸Խث AE %FOPJTJOH "VUP&ODPEFS DAE SAE pre-training + fine tuning ࠾༻ ֶश Input Hidden Output %FFQ#FMJFG /FUXPSL )PQpFME /FUXPSL #PMU[NBOO .BDIJOF ֬Ϟσϧ ܭࢉྔͷݮ ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ଟஈԽ ੍͖ #PMU[NBOO .BDIJOF RBM DBN pre-training + fine tuning -
4UBDLFE "VUP&ODPEFS "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث
ଟஈԽ ʴϩόετੑ "VUP&ODPEFS ࣗݾූ߸Խث AE %FOPJTJOH "VUP&ODPEFS DAE SAE pre-training + fine tuning ࠾༻ ֶश Input Hidden Output Auto Encoder (AE)ͱ -
4UBDLFE "VUP&ODPEFS "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث
ଟஈԽ ʴϩόετੑ "VUP&ODPEFS ࣗݾූ߸Խث AE %FOPJTJOH "VUP&ODPEFS DAE SAE pre-training + fine tuning Denoising Auto Encoder (DAE)ͱ ࠾༻ ֶश Input Hidden Output ϊΠζ -
4UBDLFE "VUP&ODPEFS "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث
ଟஈԽ ʴϩόετੑ "VUP&ODPEFS ࣗݾූ߸Խث AE %FOPJTJOH "VUP&ODPEFS DAE SAE pre-training + fine tuning Stacked Auto Encoder (SAE)ͱ -
Auto Encoder Deep Belief Network v3 h2 v1 h1 v2
Visible Hidden Visible Hidden Visible Hidden RBM RBM RBM 4UBDLFE "VUP&ODPEFS "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث "VUP&ODPEFS ࣗݾූ߸Խث ଟஈԽ ʴϩόετੑ "VUP&ODPEFS ࣗݾූ߸Խث AE %FOPJTJOH "VUP&ODPEFS DAE SAE pre-training + fine tuning ࠾༻ ֶश Input Hidden Output %FFQ#FMJFG /FUXPSL )PQpFME /FUXPSL #PMU[NBOO .BDIJOF ֬Ϟσϧ ܭࢉྔͷݮ ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ੍͖ #PMU[NBOO .BDIJOF ଟஈԽ ੍͖ #PMU[NBOO .BDIJOF RBM DBN pre-training + fine tuning -
• ϛχόονͷೖྗσʔλΛฏۉ0ɺࢄ1ͷσʔλʹม͢Δ • ׆ੑԽؔͷલɺ͘͠ޙʹૠೖ͢Δ͜ͱͰσʔλͷภΓΛݮΒ͢͜ͱ ͕Մೳ • ޮՌ • ֶशΛେ͖͘͢Δ͜ͱ͕ՄೳʢֶशΛૣ͘ਐߦͤ͞Δʣ •
ॳظʹͦΕ΄Ͳґଘ͠ͳ͍ • աֶशΛ੍͢Δ Batch Normalization -
• DropOut (Drop Connect) • ΞϯαϯϒϧֶशʹରԠ • ਖ਼ଇԽ • Weight
DecayʢޡࠩؔʹL2ϊϧϜΛՃ͑Δʣ • εύʔεਖ਼ଇԽ • σʔλ֦ுʢϊΠζɺฏߦҠಈɺճసɺ৭ʣ ͦͷଞͷ -
• 0ʹ͢ΔʁˠॏΈ͕ۉҰʹͳͬͯ͠·͍ॏෳͨ͠ʹͳͬͯ͠·͏ • ϥϯμϜͳॳظ͕ඞཁ • ׆ੑԽؔʹɺγάϞΠυؔtanhؔΛ༻͢Δ߹ɺ ʮXavierͷॳظʯ͕ద • ReLUΛ༻͍Δ߹ɺʮHeͷॳظʯ͕ద ॏΈߦྻͷॳظ
• લͷϊʔυͷ͕ɹ ݸͷ߹ɺɹɹΛඪ४ภࠩͱ͢ΔΨε n r 2 n • લͷϊʔυͷ͕ɹ ݸͷ߹ɺɹɹΛඪ४ภࠩͱ͢ΔΨε n r 1 n -
• ֤ͷχϡʔϩϯ • όοναΠζ • ֶशɺֶशͷมԽ • Weight decayʢՙॏݮਰʣ •
DropOut • ͳͲ ϋΠύʔύϥϝʔλ NNʹɺॏΈόΠΞεύϥϝʔλͱผʹɺ ਓ͕ઃఆ͖͢ϋΠύʔύϥϝʔλ͕ଘࡏ͢Δɻ ύϥϝʔλܾఆʹଟ͘ͷࢼߦࡨޡ͕͍ɺ Ϟσϧͷੑೳʹେ͖͘Өڹ͢Δɻ • ઐ༻ͷݕূσʔλΛ༻ҙ͢Δ • ܇࿅σʔλςετσʔλΛͬͯੑೳධՁΛ͍͚ͯ͠ͳ͍ • ରεέʔϧͷൣғ͔ΒϥϯμϜʹαϯϓϦϯάͯ͠ධՁ͠ɺ ൣғΛߜΓࠐΜͰ͍͖ɺ࠷ޙʹͻͱͭΛϐοΫΞοϓ͢Δ σʔληοτ ܇࿅σʔλ ςετσʔλ ݕূσʔλ ֶश༻ ֶश݁Ռͷ ධՁ༻ ϋΠύʔύϥϝʔλͷධՁ༻ -
܇࿅σʔλ ܇࿅σʔλ ܇࿅σʔλ ܇࿅σʔλ ςετσʔλ ܇࿅σʔλ ܇࿅σʔλ ܇࿅σʔλ ςετσʔλ ܇࿅σʔλ
܇࿅σʔλ ܇࿅σʔλ ςετσʔλ ܇࿅σʔλ ܇࿅σʔλ ܇࿅σʔλ ςετσʔλ ܇࿅σʔλ ܇࿅σʔλ ܇࿅σʔλ ςετσʔλ ܇࿅σʔλ ܇࿅σʔλ ܇࿅σʔλ ܇࿅σʔλ ݕূσʔλ ݕূσʔλ ݕূσʔλ ݕূσʔλ ݕূσʔλ ϗʔϧυΞτݕূ Kׂަࠩݕূ (Cross Validation) ੑೳධՁ -
TP rate: ཅੑΛཅੑͱஅׂͨ͠߹ FP rate: ӄੑΛཅੑͱஅׂͨ͠߹ = = ROCۂઢͱAUC ROC:Receiver
Operating Characteristic ʢड৴ऀૢ࡞ಛੑʣ AUC:Area under the curve ʢROCۂઢԼ໘ੵʣ Predicted Condition Positive Negative True Condition Positive TP FN (type II error) Negative FP (Type I error) TN True Positive True Negative False Positive False Negative AUC -
True Positive True Negative False Positive False Negative ࠶ݱ: ཅੑΛཅੑͱஅׂͨ͠߹
ʢRecallʣ = ద߹: ཅੑͱ༧ଌͨ͠σʔλͷ͏ͪɼ࣮ࡍʹཅੑͰ͋Δͷͷׂ߹ = ʢPrecisionʣ F: Fͷ࠷େ͓͓ΉͶذਫ਼ͱҰக͢Δɻ ௐฏۉɿٯͷฏۉͷٯ http://www004.upp.so-net.ne.jp/s_honma/mean/harmony2.htm Predicted Condition Positive Negative True Condition Positive TP FN (type II error) Negative FP (Type I error) TN -
Ԡ༻ྫ • ը૾ೝࣝ (CNN) • ࣗવݴޠॲཧɺԻೝࣝ (RNN) • ը૾ʹର͢ΔΩϟϓγϣϯੜ (CNN
+ RNN) • ڧԽֶश (CNN + Qֶश) • ਂੜϞσϧ (CNN) -
ܭࢉྔ • CPUͱGPUͷੑೳͷҧ͍ • ಉ࣌ԋࢉՄೳʢ୯ਫ਼গʣ • CPU(Intel Core i7) :
AVX256bit -> 8ݸ • nVIDIA Pascal GP100 : 114,688ݸ -
Prisma σΟʔϓϥʔχϯάΛͬͨΞʔτܥͷ จɺ͍Ζ͍Ζग़͍ͯΔ͕ Ұ൪ͷجૅͱͳΔͷ Gatys et al. 2016 ༻CNNVGG19ʢը૾ྨ༻ʹ܇࿅ࡁΈʣ͔Βશ݁߹Λ ൈ͍ͨͷ
“Image Style Transfer Using Convolutional Neural Networks” -
·ͱΊ • Deep LearningͱҰޱʹݴͬͯɺٕज़༻్༷ʑ • ը૾ೝࣝʢCNNʣ, ࣗવݴޠʢRNNʣ, ਂੜʢVAE, GANʣ,
ڧԽֶशʢDQNʣ, … • ଞͷٕज़ͪΐͬͱͨ͠ͳͲɺΞϓϩʔνํ๏ʹؔͯ͠ϒϧʔΦʔγϟϯͳ • 2014-2015ͷ2ؒͰɺ1500ͷؔ࿈จ • CNN + RNNͷΑ͏ͳɺֆʴԻɺݴ༿ʴֆɺηϯαʔʴจষɺͳͲɺ͜Ε·Ͱ༥߹ Ͱ͖ͳ͔ͬͨσʔλ͕༥߹͢Δ͜ͱͰ৽͍͠ՁΛੜΈग़͢༧ײ -
ࢀߟࢿྉ • ॻ੶ • θϩ͔Β࡞ΔDeep Learning ―PythonͰֶͿσΟʔϓϥʔχϯάͷཧͱ࣮ http://amzn.asia/2CTyY4U • ػցֶशͷͨΊͷ֬ͱ౷ܭ
(ػցֶशϓϩϑΣογϣφϧγϦʔζ) http://amzn.asia/5SyEZVV • ΦϯϥΠϯػցֶश (ػցֶशϓϩϑΣογϣφϧγϦʔζ) http://amzn.asia/2kli98b • ΠϥετͰֶͿ σΟʔϓϥʔχϯά (KSใՊֶઐॻ) http://amzn.asia/8Kz11LV • ΠϥετͰֶͿ ػցֶश ࠷খೋ๏ʹΑΔࣝผϞσϧֶशΛத৺ʹ (KSใՊֶઐॻ) http://amzn.asia/6Zlo0pt • ਂֶश (ػցֶशϓϩϑΣογϣφϧγϦʔζ) http://amzn.asia/hZqrQ2w • ChainerʹΑΔ࣮ફਂֶश http://amzn.asia/5xDfvVJ • ࣮σΟʔϓϥʔχϯά http://amzn.asia/7YP7FPh • ͜Ε͔ΒͷڧԽֶश http://amzn.asia/gHUDp81 • ITΤϯδχΞͷͨΊͷػցֶशཧೖ http://amzn.asia/7SgiMwN • ҟৗݕͱมԽݕ (ػցֶशϓϩϑΣογϣφϧγϦʔζ) http://amzn.asia/6RC0jbt • PythonʹΑΔσʔλੳೖ ―NumPyɺpandasΛͬͨσʔλॲཧ http://amzn.asia/4f2ATnL • URL / SlideShare / pdf • ʢଟ͗ͯ͢লུʣ