Le Learning on Partial-Or Order Hypergraphs Fuli Feng + , Xi an He - - PowerPoint PPT Presentation

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Le Learning on Partial-Or Order Hypergraphs Fuli Feng + , Xi an He - - PowerPoint PPT Presentation

Le Learning on Partial-Or Order Hypergraphs Fuli Feng + , Xi an He + , Liu * , Nie # , Seng Chua + Fu Xian angnan , Yi Yiqun Li , Li Liqiang Ni , Tat-Se National University of Singapore + , , Tsinghua University * , , Shandong University #


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Le Learning on Partial-Or Order Hypergraphs

Fu Fuli Feng+, Xi Xian angnan an He+, , Yi Yiqun Li Liu*, , Li Liqiang Ni Nie#, , Tat-Se Seng Chua+ Na National University of Singapore+, , Tsinghua University*, , Shandong University# 25 25/A /Apr/2018

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  • . .

.. -. - . --.

  • Solution for the Konigsburg Bridge problem proposed by Euler in 1736.
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  • ,,--à ,--
  • à ---
  • ,-à --,,
  • -,- --, --, -

y1 y2 y3 … ym … yn

Original ranking

f1 f2 f3 … fm … fn

Graph Learnt ranking Γ = ℒ + %& & = ∑(,*+, -(*(/

( − / *)2

Graph regularizer Adjacency Smoothness ℒ = ∑(+,(2( − /

()2

Squared loss

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  • 4
  • .-- .
  • Hyperedge
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)--(;-;

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: ,. ;- . : ;- ):

  • )( ;-; -; : -:; ::
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  • (..(ℒ )--.." ...(

..).(.

y1 y3 y2 … ym … yn

Original ranking

f1 f2 f3 … fm … fn

Hypergraph Learnt ranking ..)

1.0 0.4 … 0.8 0.3 0.9 … 0.4 0.2 0.2 … 0.4 … … … … 0.7 0.3 … 1.0 … … … … 0.5 0.3 … 0.6 y1 y2 y3 … ym … yn

Features Prediction . ..) Γ = ℒ + &" Hypergraph

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  • 8
  • ! :-
  • :

Γ = ℒ + &' + (!

  • ::
  • :

FinTech

  • ℒ - ' :

: :-

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)-:

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Γ = ℒ + %& + '(

y1 y2 y3 … ym … yn

Original ranking

1.0 0.4 … 0.8 0.3 0.9 … 0.4 0.2 0.2 … 0.4 … … … … 0.7 0.3 … 1.0 … … … … 0.5 0.3 … 0.6 y1 y2 y3 … ym … yn

Features Learnt ranking ;;

  • )*+*,-. /0, /2

→ ,*456 /0, /2

  • ( 7899. /0, /2

→ ,*456 /0, /2 ℒ = ∑;<=(-; − @

;)2

Squared loss Hypergraph regularizer ( = Partial-order regularizer

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PKGHM;HOKMHEHB

11

  • .CH NHOKM KHEHB MM

1KNH MKNMC 6KBHF KHEHB OKB ANH A MKMHF KHEHB H &) H &( KMOF 0MNK AAF FMAKG G G F G M F

  • OFNMH

GMK H FNM KKK , HFFR :N H KGH KHE

  • .GK GMC
  • FH GF 1KC 2KBKC 1

62GMC 62FK !"#"$%& '(, '* → $",-. '(, '*

  • 625. /011& '(, '*

→ $",-. '(, '* 62,FF Feng, Fuli, et al. "Computational social indicators: a case study of chinese university ranking." ACM SIGIR. 2017.

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A::>B-::

12

  • B
  • > ;> >:>
  • B &

Table 1: Performance comparison among our methods and baselines.

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,OHAEFKGHL9AKPA;KAGF

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  • A;GMAG 9K9K EA;GMAG GE AF
  • 9KL

L 9;KAMAKA G:B;K AKA:LKAGF 9KKA; ;AHKAGF FKF; E:AF K;

  • ,M9L9KAGF EKA; F9 79L 9F H9E9F 9FC
  • GEH9 EKG

9AF AEH .9H( PH9H( . EKG

  • GGN!"##"$%&'( )*, ),

→ ."./#0&123( )*, ), ( 1GGH #"".'( )*, ), → ."./#0&123( )*, ), ( ) Chen, Jingyuan, et al. "Micro tells macro: Predicting the popularity of micro-videos via a transductive model." ACM MM. 2016.

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  • ,: ;: >,

.2 .4 .6 .8 1 T a u Spe a rma n Simle Gra ph Hype rg ra ph GC N PO H-Foll

  • w

PO H-Loo p PO H-All

Figure 1: Performance comparison among our methods and baselines.

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