IDF Revisited: A Simpler, Better Derivation
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1 Lillian Lee, Cornell Univerity; SIGIR 2007 poter (me) Hi! I m Lillian Lee rom Cornell Univerity. Welcome to my poter! IDF Reviited: A Simpler, Better Derivation (you) Ugh! Who need yet another theoretical jutiication o the IDF?
2 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 2 Reminder: The invere document requency (IDF), a term-importance meaure taking ome variant o the orm = corpu ize n i = no. o doc containing the term t i i ued in (probably) all IR ytem (Harman 05). (me) I do agree that there been much prior work on theoretically jutiying IDF practical eectivene...
3 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 3
4 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 4 Roberton & Spärck Jone term weighting The weight or query term t i hould be baed in part on: p i de =P r(t i occur Relevant = ye ) The ull RSJ term-weight equation i omitted or clarity. Challenge: etimating p i without relevance ino or eedback (the claic ad hoc retrieval etting)
5 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 5 Crot & Harper (CH) aumption: all the query term have the ame occurrence probability within relevant doc: p i = k or ome contant k. (algebra) IDF I the query i Amterdam L, L will appear (you) in ewer relevant document than Amterdam. Surely there a more plauible aumption.
6 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 6 Roberton & Walker (RW) aumption: For ome k [0.5, ], p i = k k + ( k) n i. IDF (algebra) What that uppoed to mean? (you) (me) I don t really know o an intuitive explanation or that equation. But...
7 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 7 RW p i approximate linearity in n i or n i [0, ], and thu ixe a technical problem with CH. Roberton & Walker aert that approximation i neceary: the traight-line model i actually rather intractable, and doe not lead to a imple weighting ormula. (you) OK, but urely there a more intuitive aumption or u to ue?
8 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 8 I m glad you aked! Intuition: A query term hould be at leat a likely to occur in a relevant doc. a it i to appear in any doc. overall occurrence prob "lit" or relevant doc keep etimate below IDF (algebra)
9 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 9 Our new etimate i: imple, intuitive, and linear in n i : approximation turn out to be unneceary (you) But even uppoing I buy all that, i there any practical ue to thi work?
10 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 0 An extenion o thi idea might lead to new term-weighting component. Idea: rewrite L a L(n i ), a unction o document requency. Grei ( 98) empirical tudy ound p i to be roughly logarithmic in n i on ome corpora. Thi behavior can be captured by our uggeted extenion via a non-monotonic L(n i ).
11 Lillian Lee, Cornell Univerity; SIGIR 2007 poter ote: dierent lit unction can yield imilar-looking p i but very dierent term-weight component. cp i log with δ = 2.2 cpi log with δ = / cpi with quadratic L(n i ) probability etimate probability etimate probability etimate *.5*.75* document requency (n i ) 0.25*.5*.75* document requency (n i ) 0.25*.5*.75* document requency (n i ) term weight document requency (n i ) term weight document requency (n i ) term weight document requency (n i )
12 Lillian Lee, Cornell Univerity; SIGIR 2007 poter 2 In ummary, our new derivation: () eem a imple yet more plauible than RSJ + RW or the commonly-taught RSJ+ CH ; (2) olve Roberton & Walker intractable problem; and (3) could lead to new term-weighting cheme. Thank! I ll go ee ome other poter now... (you) Sure! Thank or topping by! (me)
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