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Thus +$$I(i,j,s)=\displaystyle\sum_{i1 \\ + \phi(i,j,s) & \text{if } j-i=1 \\ + 0 & \text{if } j-i = 0 + \end{cases}$$ + +Similarly, we define the outside probability +$$O(i,j,s) = \begin{cases} + \displaystyle\sum_{0\leq k=\alpha}P_{BRACKET}(i,j,s)}{N_s-2n_s+1}$$ + +Similarly, we have $$P_{CONTEXT}(\beta|false,s) = \frac{\#(\beta)-\Sigma_{>i,j<=\beta}P_{BRACKET}(i,j,s)}{N_s-2n_s+1}$$ + +From these, we can calculate the new parameters $P_{\text{SPAN}}$ and $P_{\text{CONTEXT}}$ as above. + +\subsection{Initialization} +We initialize the model with a distribution $P_{\text{SPLIT}}$ over trees. $P_{\text{SPLIT}}$ is calculated as follows: for a string of $n$ words, choose a split point at random, then recursively build trees on either side of that split by further random splitting. We initialize the model using $P_{\text{BRACKET}}(i,j,s)=P_{\text{SPLIT}}(i,j,n_s)$. However, we also apply smoothing, adding small constant counts $m_\text{true}$ and $m_\text{false}$ of each span and context as a constituent and distituent, respectively. $m_\text{true}$ should be smaller than $m_\text{false}$, as there are more distituent spans than constituent spans. However, \citet{klein-thesis} and \citet{km-ccm} give different values for these constants, and in any case they must vary in relation to the size of the corpus used. Let $\#_\alpha$ and $\#_\beta$ be the number of unique spans and contexts in the corpus. We initialize the model: +\begin{itemize} +\item $P_{SPAN}(\alpha|true)= \frac {(\displaystyle\sum_{s\in C}\displaystyle\sum_{=\alpha}P_{\text{SPLIT}}(i,j,n_s))+m_\text{true}} + {(\displaystyle\sum_{s\in C}2n_s-1)+m_\text{true} \#_\alpha}$ +\item $P_{SPAN}(\alpha|false)= \frac {(\displaystyle\sum_{s\in C}\displaystyle\sum_{=\alpha}1-P_{\text{SPLIT}}(i,j,n_s))+m_\text{false}} + {(\displaystyle\sum_{s\in C}N_s-(2n_s-1))+m_\text{false} \#_\alpha}$ +\item $P_{CONTEXT}(\beta|true)= \frac {(\displaystyle\sum_{s\in C}\displaystyle\sum_{>i,j<=\beta}P_{\text{SPLIT}}(i,j,n_s))+m_\text{true}} + {(\displaystyle\sum_{s\in C}2n_s-1)+m_\text{true} \#_\beta}$ +\item $P_{CONTEXT}(\beta|false)= \frac {(\displaystyle\sum_{s\in C}\displaystyle\sum_{>i,j<=\beta}1-P_{\text{SPLIT}}(i,j,s))+m_\text{false}} + {(\displaystyle\sum_{s\in C}N_s-(2n_s-1))+m_\text{false} \#_\beta}$ +\end{itemize} + \subsection{Results} +We have not yet tested the CCM model on the Wall Street Journal corpus. + \section{A Dependency Model with Valence} -This is an attempt at fleshing out the details of the inside-outside -algorithm \citep{lari-csl90} applied to the DMV model of -\citet{klein-thesis}. +The DMV is a \emph{head-outward process}. Given a certain head (eg. a +verb), we first attach possible arguments in one direction (eg. nouns +to the right), then stop in that direction, then possibly attach +arguments in the other direction, then stop. The probabilities of a +certain head attaching any arguments in a direction sum to one +\citep[see~$P(D(h))$~in][p.~87]{klein-thesis} -- modelled as a PCFG, +however \citep[p.~83,~figure~6.4]{klein-thesis}, probabilities may sum +to less than one given a certain left-hand side symbol. + +In the following sections we try to flesh out the details of the +inside-outside algorithm \citep{lari-csl90} applied to the DMV model +of \citet{klein-thesis}. We have three parameters which are +reestimated using the inside-outside algorithm: + +\begin{itemize} +\item $P_{ATTACH}(a|h,dir)$ is the probability of attaching an + argument with tag $a$, given that we are attaching in direction + $dir$ from head $h$. Here $a,h \in \mathbb{T}, + dir\in\{left,right\}$. +\item $P_{STOP}(stop|h,dir,adj)$ is the probability of stopping (which + happens after argument attachment), given that we are attaching from + head $h$ in direction $dir$. Adjacency $adj$ is whether or not we + have attached anything yet in that direction. +\item $P_{ROOT}(h)$ is the probability of the special ROOT symbol + heading $h$; in the original model this is modelled using a right + stop, a left stop, and an attachment + \citep[p.~105,~figure~A.2]{klein-thesis}; we conflated these + into one additional parameter. +\end{itemize} + + + + \newcommand{\LOC}[1]{\textbf{#1}} \newcommand{\GOR}[1]{\overrightarrow{#1}} @@ -66,8 +210,8 @@ $\LOC{w}$ on the right. To simplify, $loc_l(\LOC{w}):=loc(\LOC{w})$ and $loc_r(\LOC{w}):=loc(\LOC{w})+1$. We write $\LOC{h}$ if this is a head in the rule being used, $\LOC{a}$ if it is an attached argument. -There are som notational differences between \citet{klein-thesis} -\citet{km-dmv}: +There are som notational differences between the thesis +\citet{klein-thesis} and the ACL paper \citet{km-dmv}: \begin{tabular}{cc} Paper: & Thesis: \\ @@ -170,7 +314,6 @@ of having a stop above, where we use $\SEAL{w}$: \subsection{Reestimating the rules} -% TODO: fix stop and attachment formulas so they divide before summing \subsubsection{$c$ and $w$ (helper formulas used below)} $c_s(\SMTR{\LOC{w}} : i, j)$ is ``the expected fraction of parses of @@ -188,34 +331,34 @@ $w_s$ is $w_{q}$ from \citet[p.~41]{lari-csl90}, generalized to $\SMTR{h}$ and $ \begin{align*} w_s(\SEAL{a} & : \SMTR{\LOC{h}}, left, i, j) = \\ & 1/P_s \sum_{k:iloc_r(\SMTR{\LOC{h}})$ since we want at least one attachment: +Here $j>loc_r(\LOC{h})$ since we want at least one attachment: \begin{align*} - \hat{a} (a | \SMTR{h}, right) = \frac - { \sum_{s \in S} \sum_{\SMTR{\LOC{h}}:\LOC{h} \in s} \sum_{i\leq loc_l(\LOC{h})} \sum_{j>loc_r(\LOC{h})} w_s(\SEAL{a} : \SMTR{\LOC{h}}, right, i, j) } - { \sum_{s \in S} \sum_{\SMTR{\LOC{h}}:\LOC{h} \in s} \sum_{i\leq loc_l(\LOC{h})} \sum_{j>loc_r(\LOC{h})} c_s(\SMTR{\LOC{h}} : i, j) } + \hat{P}_{ATTACH} (a | h, right) = \frac + { \sum_{s \in S} \sum_{\LOC{h} \in s} \sum_{i\leq loc_l(\LOC{h})} \sum_{j>loc_r(\LOC{h})} [w_s(\SEAL{a} : \LGOR{\LOC{h}}, right, i, j) + w_s(\SEAL{a} : \GOR{\LOC{h}}, right, i, j) ]} + { \sum_{s \in S} \sum_{\LOC{h} \in s} \sum_{i\leq loc_l(\LOC{h})} \sum_{j>loc_r(\LOC{h})} [c_s(\LGOR{\LOC{h}} : i, j) + c_s(\GOR{\LOC{h}} : i, j) ]} \end{align*} For the first/lowest attachments, $w_s$ and $c_s$ have zero probability @@ -224,52 +367,44 @@ this is implicit in $P_{INSIDE}$. -\begin{align*} - \hat{P}_{CHOOSE} (a | h, left) = - \hat{a} (a | \GOL{h}, left) - + \hat{a} (a | \RGOL{h}, left) -\end{align*} -\begin{align*} - \hat{P}_{CHOOSE} (a | h, right) = - \hat{a} (a | \GOR{h},right) - + \hat{a} (a | \LGOR{h},right) -\end{align*} - \subsubsection{Stop reestimation} The following is based on \citet[p.~88]{klein-thesis}. For the -non-adjacent rules, $iloc_r(\LOC{h})$ on the -right, while for the adjacent rules these are equal (respectively). +non-adjacent rules, $iloc_r(\LOC{h})$ on the right, while for the adjacent rules these +are equal (respectively)\footnote{For left-stopping with right-first + attachments, $j \geq loc_r(\LOC{h})$ since we may have + right-attachments below, for left-stopping with left-first + attachments we only need $j=loc_r(\LOC{h})$.}. To avoid some redundancy below, define a helper function $\hat{d}$ as follows: \begin{align*} - \hat{d}(\SMTR{h},\SDTR{h},\XI,\XJ) = \frac + \hat{d}(\SMTR{h},\XI,\XJ) = { \sum_{s \in S} \sum_{\SMTR{\LOC{h}}:\LOC{h} \in s} \sum_{i:i \XI loc_l(\LOC{h})} \sum_{j:j \XJ loc_r(\LOC{h})} c_s(\SMTR{\LOC{h}} : i, j) } - { \sum_{s \in S} \sum_{\SDTR{\LOC{h}}:\LOC{h} \in s} \sum_{i:i \XI loc_l(\LOC{h})} \sum_{j:j \XJ loc_r(\LOC{h})} c_s(\SDTR{\LOC{h}} : i, j) } \end{align*} Then these are our reestimated stop probabilities: \begin{align*} - \hat{P}_{STOP} (STOP|h, left, non\text{-}adj) = - \hat{d}(\SEAL{h}, \RGOL{h},<,\geq) + - \hat{d}(\LGOR{h}, \GOL{h},<,=) + \hat{P}_{STOP} (STOP|h, left, non\text{-}adj) = \frac + { \hat{d}(\SEAL{h},<,\geq) + \hat{d}(\LGOR{h},<,=) } + { \hat{d}(\RGOL{h},<,\geq) + \hat{d}(\GOL{h},<,=) } \end{align*} \begin{align*} - \hat{P}_{STOP} (STOP|h, left, adj) = - \hat{d}(\SEAL{h}, \RGOL{h},=,\geq) + - \hat{d}(\LGOR{h}, \GOL{h},=,=) + \hat{P}_{STOP} (STOP|h, left, adj) = \frac + { \hat{d}(\SEAL{h},=,\geq) + \hat{d}(\LGOR{h},=,=) } + { \hat{d}(\RGOL{h},=,\geq) + \hat{d}(\GOL{h},=,=) } \end{align*} \begin{align*} - \hat{P}_{STOP} (STOP|h, right, non\text{-}adj) = - \hat{d}(\RGOL{h}, \GOR{h},=,>) + - \hat{d}(\SEAL{h}, \LGOR{h},\leq,>) + \hat{P}_{STOP} (STOP|h, right, non\text{-}adj) = \frac + { \hat{d}(\RGOL{h},=,>) + \hat{d}(\SEAL{h},\leq,>) } + { \hat{d}(\GOR{h},=,>) + \hat{d}(\LGOR{h},\leq,>) } \end{align*} \begin{align*} - \hat{P}_{STOP} (STOP|h, right, adj) = - \hat{d}(\RGOL{h}, \GOR{h},=,=) + - \hat{d}(\SEAL{h}, \LGOR{h},\leq,=) + \hat{P}_{STOP} (STOP|h, right, adj) = \frac + { \hat{d}(\RGOL{h},=,=) + \hat{d}(\SEAL{h},\leq,=) } + { \hat{d}(\GOR{h},=,=) + \hat{d}(\LGOR{h},\leq,=) } \end{align*} @@ -296,12 +431,12 @@ tree, meaning we divide by $1$ per sentence\footnote{Assuming each \subsection{Alternate CNF-like rules} Since the IO algorithm as described in \citet{lari-csl90} is made for rules in Chomsky Normal Form (CNF), we have an alternate grammar -(figure \ref{cnf-like}) for running testing purposes, where we don't -have to sum over the different $loc(h)$ in IO. This is not yet -generalized to include left-first attachment. It is also not quite -CNF, since it includes some unary rewrite rules. +(table \ref{tab:cnf-like}) for running tests, where we don't have to sum +over the different $loc(h)$ in IO. This is not yet generalized to +include left-first attachment. It is also not quite CNF, since it +includes some unary rewrite rules. -\begin{figure}[htp] +\begin{table*}[ht] \centering \begin{tabular} % four left-aligned math tabs, one vertical line { >{$}l<{$} >{$}l<{$} >{$}l<{$} | >{$}l<{$} } @@ -326,8 +461,8 @@ CNF, since it includes some unary rewrite rules. \end{tabular} \caption{Alternate CFG rules (where a child node has an arrow below, we use non-adjacent probabilities), defined for all words/POS-tags - $h$.}\label{cnf-like} -\end{figure} + $h$.}\label{tab:cnf-like} +\end{table*} The inside probabilities are the same as those given in \citet{lari-csl90}, with the following exceptions: @@ -353,14 +488,14 @@ to $P_{OUTSIDE}(\SDTR{h},i,j)$ (eg. $f(s,t,i)$). This grammar gave the same results for inside and outside probabilities when run over our corpus. -\subsection{TODO: Initialization} +\subsection{Initialization} \citet{klein-thesis} describes DMV initialization using a ``harmonic distribution'' for the initial probabilities, where the probability of one word heading another is higher if they appear closer to one another. -There are several ways this could be implemented. We initialized -attachment probabilities with the following formula: +There are several ways this could be implemented. We initialized attachment +probabilities with the following formula: \begin{align*} P_{ATTACH}(a|h,right) = \frac @@ -386,37 +521,95 @@ border\footnote{For non-adjacent stopping we checked for occurence at {C_{M} + \sum_{s \in S}\sum_{\LOC{h} \in s} C_S+C_N} \end{align*} -\subsection{TODO: Results} -We tried various values for the initialization constants $C_A, C_M, C_S$ -and $C_N$; but it was hard to find any clear pattern for what worked -best. +Tweaking the initialization constants $C_A, C_M, C_S$ and $C_N$ +allowed us to easily try different inital distributions (eg. to modify +the initial grammar in the direction of a uniform distribution). The +next section discusses the effect of these. -% todo: check ~/dmv__zero_harmonic_c.txt and paste here -We compared with a dependency parsed version of the WSJ-10 -corpus. Since single word sentences were not POS-tagged there, these +\subsection{TODO: Results} +We compared the results of the implementation with a dependency parsed +version of the WSJ-10 corpus (converted from the manually annotated +version). Since single word sentences were not POS-tagged there, these were skipped. Also, the dependency parsed WSJ-10 did not have ROOT -nodes, thus we both checked precision and recall without our ROOT -dependency, and with a ROOT link added to the parses (where possible; -221 parses had several heads that were not dependents, here we skipped -the parses). - -Table \ref{tab:dmv-wsj} shows the results of 40 iterations on the full -WSJ-10 corpus, compared with the dependency parsed version. -\begin{table*} +nodes; so we calculated precision and recall both without counting our +ROOT links, and with counting ROOT links, by adding these to the gold +parses where possible\footnote{221 parses in the dependency parsed + WSJ-10 had several tokens appearing as heads without appearing as + dependents in the same parse, here we skipped the parses when + calculating with ROOT links.}. + +\begin{table*}[hb] \centering - \begin{tabular}{cccccc} - & Rooted & & & Unrooted & \\ - P & R & F1 & P & R & F1 + \begin{tabular}{l|ccc} + Model & P & R & F1 \\ + \hline + LBRANCH/RHEAD & 25.6 & 32.6 & 28.7 \\ + RANDOM & 31.0 & 39.4 & 34.7 \\ + RBRANCH/LHEAD & 55.1 & 70.0 & 61.7 \\ + K\&M's DMV & 46.6 & 59.2 & 52.1 \\ + Our DMV: \\ + $C_A=0; C_S=1;C_N=0.1;C_M=1$ & 23.7 (23.7) & 24.8 (24.5) & 24.2 (24.1) \\ + $C_A=0; C_S=1;C_N=0.1;C_M=10$ & 26.7 (31.6) & 25.5 (30.5) & 26.1 (31.0) \\ + $C_A=10;C_S=1;C_N=0.1;C_M=10$ & 24.5 (29.6) & 25.6 (30.6) & 25.0 (30.1) \\ + $C_A=10;C_S=1;C_N=3 ;C_M=10$ & 24.9 (30.0) & 26.0 (31.0) & 25.5 (30.5) \\ + $C_A=15;C_S=3;C_N=1 ;C_M=20$ & 25.6 (30.6) & 26.7 (31.7) & 26.2 (31.2) \\ \end{tabular} - \caption{DMV results on the WSJ-10} + \caption{DMV results on the WSJ-10 for various initialization values (numbers in parentheses are when counting added ROOT links)} \label{tab:dmv-wsj} \end{table*} +We tried various values for the initialization constants; but it was +hard to find any clear pattern for what worked best. +%$C_N$ values of 10 or less worked well, +% todo!! + +Table \ref{tab:dmv-wsj} shows the results of running our +implementation on the WSJ-10 corpus, compared with the dependency +parsed version, for given values of the initialization constants. The +EM hilltop seemed to be reached after about 30 iterations for our best +results (sooner for the worse results). As the table indicates +(especially the numbers for ``rooted'' evaluation), different initial +settings can lead to very different results\footnote{One alternative + idea we still haven't tried is basing initial DMV stopping + probabilities on \emph{distance} from sentence start/end, instead of + the ``binary'' test given above.}. + + +The numbers are not completely comparable though, since our corpus was +6268 sentences, while \citet{km-dmv} report 7422 sentences; also it is +not clear whether their DMV-experiment was run using automatically +induced word classes \citep[Schütze, 1995, in][p.~8]{km-dmv} or on the +tagset used to manually annotate the WSJ-10. + +In the stochastic grammars given by the model after EM, the POS class +$VBD$ (past tense verb) had the highest probability of being attached +to by ROOT, followed by $VBZ$ (3sg present) and $VBP$ (non-3sg +present); which looks promising. Interestingly, on fourth place we see +the tag $:$, and on sixth, $``$. Results might have been different +with such tokens stripped from the corpus and the evaluation standard, +we haven't tried this yet\footnote{A ROOT attachment to $:$ does make + sense though, in the same way that a comma might be the head of a + conjunction. Our evaluation standard almost always + % 97 per cent of the time.. + puts colons as dependents of the phrase head (often an NP + fragment).}. + +Just like \citet[p.~89]{klein-thesis} our algorithm chose determiners +to be the heads of nouns, rather than the opposite. +% Also, in general +% non-adjacent stopping was a lot more likely than adjacent stopping, a +% situation given by the DMV model. + +% \section{The combined model (?)} +% \subsection{Results (?)} -\section{The combined model (?)} -\subsection{Results (?)} -\section{Conclusion} +\section{Conclusion} +From our implementations it seems that these processes capture some of +the statistical regularities in language, eg. the strong likelihood of +verbal sentence heads; however, our evaluations show that we did not +manage to replicate Klein \& Manning's parsing results, let alone +improve on them. \nocite{lari-csl90} diff --git a/src/loc_h_dmv.py b/src/loc_h_dmv.py index b6f9ac0..6c97920 100644 --- a/src/loc_h_dmv.py +++ b/src/loc_h_dmv.py @@ -39,7 +39,8 @@ class DMV_Grammar(io.Grammar): return "%d=%s" % (n, self.numtag(n)) def p(dict,key): if key in dict: - if dict[key] > 1.0: raise Exception, "probability > 1.0:%s"%key + if dict[key] > 1.00000001: # stupid floating point comparisons + raise Exception, "probability > 1.0:%s=%s"%(key,dict[key]) return dict[key] else: return 0.0 def no_zeroL(str,tagstr,prob): diff --git a/src/loc_h_dmv.pyc b/src/loc_h_dmv.pyc index dcdc0ba1de3316029bea80225b8682b8da06bbe0..0081392206c284d1ecd705e3c79436ace85721fc 100644 GIT binary patch delta 661 zcwQ}0ZAjB`5dJ+sr?S~9O_W@w*^HE&O$}GMG^HXjUs8Lo70wk)H*IPtg3C(M6s!{| z1q-!4h*5HV2nm#e$jW@l&<}zTC6x4LB8EZz6F=O;-SgZX+&wSa<@F&URWgvx^Q#kpQxxmh z3p;)Dy9fu_);z-nitu+Mn!Eg`fpWePP~rh%ub?h(bW+cTdUW%yuuzE(w&-^NwcHYJ z1s3`5COx2H{bsd9FdHJ-6C3G6^c;LU#@Q($IP!JTFIRf z$M2H5B_6XoC0?R}pX`Bzj(hi+JP^UZQq4dn8`BnnT#iZ)1uT@F@fJ1?&I|zx*qjv) zxVZG7(&47!oC#EMYVHKkOgYB~ahrY~Zd0ykJn~%P!4maIp#s=+LJM^9-ji7pBXrAh z6QjzsfsUT;$1n$-iIbS-jJ&@R3zT82#%~(6EnuEspWQ7H!diQp2V!ZcFoBv2P1vSn zWr$aB9Zfk*6yngWR4b00w-h+@98PQg_GQU}os{T&s<`&YS&Srd6y+nC#)`gR3-=YL zDYozm*CZ4#K9}4<71fqD;R>%Wd!s@f&s4Oi(8)DbH4?+5t^SBlG+W(|8RpC7Dtzat iYpoIiJWyu@!fEmPAYyo+J`&2i<{Ek=4$=L_yZ->svgVEe delta 664 zcwQ}0ZAjB`5dJ^E&1{otnhNR2rHjmRIh7o;Rr(ZJRnR!&J1wVq|y; zVvsV4u!NAS4@DoupfXZ3h(<_Jnt>mrqDYLWf6~FdKL>aBy!MJGUg6K*G-^Z4t8xDe zsw9OZNk?UE%92eRq&7*a*&sO$657`DEp|vXO34{4!7WL4A=hY1rH_)<bh!ot8SmpXh=w8B0Y9D$$^`P* zFW3y&C^O_Cs_A#gY1C8m=1DY=DYO#?eh|6@oZ;bcw*q|}7IE7jBQ&wigFAdUS|{LT zhdveP;nD4OV2uNJ=m7;M#i|6fY>8t(d5N!kzGKtKQi4Dge@;B8LMIu`@8O|f%N&Ro zEYAf7sW&T`Kc!5lPzZk6}^6<2m)l|EFi;s?L2$`IJf+8V0@iS(}C zOgHOINS31(?3JySRvacWI3fd8G9R@ib#3G@40?Rzv m-KxY2n|rPcgt70k5zv#`GYupAJaLfUrMNOKP(b&u4*vy2ZsLRh diff --git a/src/loc_h_harmonic.py b/src/loc_h_harmonic.py index 352a5c6..c7b0b5d 100644 --- a/src/loc_h_harmonic.py +++ b/src/loc_h_harmonic.py @@ -3,10 +3,10 @@ from loc_h_dmv import * # better way to do this? # todo: tweak these -HARMONIC_C = 0.0 -STOP_C = 1.0 -NSTOP_C = 1.0 -FSTOP_MIN = 1.0 +HARMONIC_C = 0.0 # C_A in report.pdf +STOP_C = 1.0 # C_S in report.pdf +NSTOP_C = 1.0 # C_N in report.pdf +FSTOP_MIN = 1.0 # C_M in report.pdf FNONSTOP_MIN = 0.0 # for OLD_STOP_CALC. 0.0 on FSTOP_MIN gives many # zero-probabilities for OLD_STOP_CALC diff --git a/src/main.py b/src/main.py index 94c490f..2ff12f9 100644 --- a/src/main.py +++ b/src/main.py @@ -15,10 +15,10 @@ def initialize_loc_h(tagonlys): # loc_h_harmonic.HARMONIC_C = 380.111684914 # loc_h_harmonic.FSTOP_MIN = 13.5744632704 # loc_h_harmonic.FNONSTOP_MIN = 34.8939452454 - loc_h_harmonic.HARMONIC_C = 0.0 # random.random() # 509.63 - loc_h_harmonic.FSTOP_MIN = 1.0 # random.random() # 13.08 - loc_h_harmonic.STOP_C = 1.0 # random.random() - loc_h_harmonic.NSTOP_C = 1.0 # random.random() + loc_h_harmonic.HARMONIC_C = 20.0 * random.random() # 509.63 + loc_h_harmonic.FSTOP_MIN = 10.0 # random.random() # 13.08 + loc_h_harmonic.STOP_C = 3.0 * random.random() + loc_h_harmonic.NSTOP_C = 1.0 # 5 * random.random() # 0.1 loc_h_harmonic.RIGHT_FIRST = 1.0 loc_h_harmonic.OLD_STOP_CALC = False @@ -43,21 +43,36 @@ def initialize_cnf(tagonlys): def test_likelihood(reestimate, initialize, inner_sent, - corpus_size=20, corpus_offset=1000, iterations=4, eval=False): + corpus_size=20, corpus_offset=1000, iterations=4, EVAL=False): def run_IO(g, iterations, tagonlys, tags_and_parses): sumlog,msg = corpus_likelihood(g, tagonlys) print msg - if eval: print evaluate(g, tags_and_parses) + if EVAL: + E = evaluate(g, tags_and_parses) + print E for i in range(iterations): g = reestimate(g, tagonlys) - print "reestimation number %d done"%i - if eval: print evaluate(g, tags_and_parses) - + print "reestimation number %d done\n"%i + if EVAL: + E = evaluate(g, tags_and_parses) + print E prev_sumlog = sumlog sumlog,msg = corpus_likelihood(g, tagonlys) if sumlog < prev_sumlog: raise Exception, msg+"but previous was %s"%prev_sumlog print msg + # since I want to be able to do stuff with it afterwards: + from pickle import dump # let us say g = pickle.load(open('..','rb')) + filehandler = open('current_grammar.obj','w') + dump(g, filehandler) + + if EVAL: + import pprint + print "underproposed:" + pprint.pprint(E.underproposed) + print "overproposed:" + pprint.pprint(E.overproposed) + return g def corpus_likelihood(g, tagsonly): @@ -70,7 +85,7 @@ def test_likelihood(reestimate, initialize, inner_sent, else: sumlog += log(p_sent) avg = sumlog / len(tagsonly) - return (sumlog, "Sum of log P_{sentence}: %.4f (should move towards 0), avg: %s\n"%(sumlog,avg)) + return (sumlog, "Sum of log P_{sentence}: %.4f (should move towards 0), avg: %s"%(sumlog,avg)) reader = WSJDepCorpusReader(None) tagonlys = reader.tagonly_sents()[corpus_offset:corpus_offset+corpus_size] @@ -79,69 +94,93 @@ def test_likelihood(reestimate, initialize, inner_sent, # from loc_h_dmv import testcorpus # tagonlys = testcorpus - print "initializing %d sentences..." % corpus_size, + print "\ninitializing %d sentences..." % corpus_size, g = initialize(tagonlys) print "initialized" g = run_IO(g, iterations, tagonlys, tags_and_parses) # make iterations argument, todo + return g +class Evaluation(): + "Just a class to hold evaluation-relevant information, sum it up, and print it." + def __init__(self): + self.underproposed, self.overproposed = {}, {} + self.R, self.R_r, self.P, self.P_r = {}, {}, {}, {} + for nd in ['num', 'den']: + self.R[nd], self.R_r[nd], self.P[nd], self.P_r[nd] = 0, 0, 0, 0 + + self.unrooted = 0 # parses where we couldn't add_root + self._precision, self._recall, self._precision_r, self._recall_r = 0.0, 0.0, 0.0, 0.0 + self._F1, self._F1_r = 0.0, 0.0 + + def calc_F1_P_R(self): + "F1 = (2 * P * R)/(P + R), harmonic avg. of P and R" + self._recall = float(self.R['num']) / float(self.R['den']) + self._precision = float(self.P['num']) / float(self.P['den']) + self._recall_r = float(self.R['num']+self.R_r['num']) / \ + float(self.R['den']+self.R_r['den']) + self._precision_r = float(self.P['num']+self.P_r['num']) / \ + float(self.P['den']+self.P_r['den']) + + if (self._precision + self._recall) > 0.0: + self._F1 = (2 * self._recall * self._precision) / (self._precision + self._recall) + if (self._precision_r + self._recall_r) > 0.0: + self._F1_r = (2 * self._recall_r * self._precision_r) / (self._precision_r + self._recall_r) + + def __str__(self): + self.calc_F1_P_R() + R_rnum = self.R['num']+self.R_r['num'] + R_rden = self.R['den']+self.R_r['den'] + P_rnum = self.P['num']+self.P_r['num'] + P_rden = self.P['den']+self.P_r['den'] + str_vals = (self.R['num'],self.R['den'],self._recall, R_rnum,R_rden,self._recall_r, + self.P['num'],self.P['den'],self._precision, P_rnum,P_rden,self._precision_r, + self._F1, self._F1_r, self.unrooted) + return '''R: %5d/%5d = %s | R_r: %5d/%5d = %s +P: %5d/%5d = %s | P_r: %5d/%5d = %s +F1: %s | F1_r: %s (unrooted gold parses: %d)'''%str_vals + + + def evaluate(g, tagged_and_parsed_sents): - ''' - tagged_and_parsed_sents is a list of pairs: + ''' tagged_and_parsed_sents is a list of pairs: (tagonly_sent, parsed_sent) R_num += 1 if pair from parsed is in mpp R_den += 1 per pair from parsed P_num += 1 if pair from mpp is in parsed - P_den += 1 per pair from mpp - - F1 = (2 * P * R)/(P + R), harmonisk snitt av P og R - ''' + P_den += 1 per pair from mpp ''' from loc_h_dmv import mpp from wsjdep import add_root - - R, R_r, P, P_r = {}, {}, {}, {} - for nd in ['num', 'den']: - R[nd], R_r[nd], P[nd], P_r[nd] = 0, 0, 0, 0 - unrooted = 0 # parses where we couldn't add_root + E = Evaluation() for sent, gold_parse in tagged_and_parsed_sents: mpp_sent = mpp(g, sent) try: gold_parse = add_root(gold_parse) - except ValueError: unrooted += 1 + except ValueError: E.unrooted += 1 for pair in gold_parse: - dict = R - if pair[0] == MPPROOT: dict = R_r + dict = E.R + if pair[0] == MPPROOT: dict = E.R_r dict['den'] += 1 if pair in mpp_sent: dict['num'] += 1 + else: + try: E.underproposed[pair] += 1 + except KeyError: E.underproposed[pair] = 1 for pair in mpp_sent: - dict = P - if pair[0] == MPPROOT: dict = P_r + dict = E.P + if pair[0] == MPPROOT: dict = E.P_r dict['den'] += 1 if pair in gold_parse: dict['num'] += 1 - - recall = float(R['num']) / float(R['den']) - precision = float(P['num']) / float(P['den']) - recall_r = float(R['num']+R_r['num']) / float(R['den']+R_r['den']) - precision_r = float(P['num']+P_r['num']) / float(P['den']+P_r['den']) - F1, F1_r = 0.0, 0.0 - if (precision + recall) > 0.0: - F1 = (2 * recall * precision) / (precision + recall) - if (precision_r + recall_r) > 0.0: - F1_r = (2 * recall_r * precision_r) / (precision_r + recall_r) - - str_vals = (R['num'],R['den'],recall, R['num']+R_r['num'], R['den']+R_r['den'], recall_r, - P['num'],P['den'],precision, P['num']+P_r['num'], P['den']+P_r['den'], precision_r, - F1, F1_r, unrooted) - return '''Recall: %d/%d = %.4f\tRecall_r: %d/%d = %.4f -Precision: %d/%d = %.4f\tPrecision_r: %d/%d = %.4f -F1: \t\t%.4f\t\tF1_r: \t\t%.4f (unrooted gold parses: %d)'''%str_vals - + else: + try: E.overproposed[pair] += 1 + except KeyError: E.overproposed[pair] = 1 + + return E @@ -203,7 +242,7 @@ def rnd_grammars_test(): corpus_size=6268, iterations=0, corpus_offset=0, - eval=True) + EVAL=True) rnd_grammars0 += [(g, g.HARMONIC_C, g.STOP_C, g.NSTOP_C, g.FSTOP_MIN)] rnd_grammars1 = [(test_likelihood(loc_h_dmv.reestimate, @@ -212,7 +251,7 @@ def rnd_grammars_test(): corpus_size=6268, iterations=1, corpus_offset=0, - eval=True), + EVAL=True), H,S,N,M) for g,H,S,N,M in rnd_grammars0] rnd_grammars2 = [(test_likelihood(loc_h_dmv.reestimate, @@ -221,15 +260,40 @@ def rnd_grammars_test(): corpus_size=6268, iterations=1, corpus_offset=0, - eval=True), + EVAL=True), H,S,N,M) for g,H,S,N,M in rnd_grammars1] if __name__ == "__main__": print "main.py:" -# compare_loc_h_cnf() + if False: + rnd_grammars_test() + else: + import loc_h_dmv + reload(loc_h_dmv) + print "\ntrying reestimate v.1 ##############################" + g = test_likelihood(loc_h_dmv.reestimate, + initialize_loc_h, + loc_h_dmv.inner_sent, + corpus_size=6268, + iterations=50, + corpus_offset=0, + EVAL=True) + print g + +# print "\ntrying reestimate v.2 ##############################" +# g = test_likelihood(loc_h_dmv.reestimate2, +# initialize_loc_h, +# loc_h_dmv.inner_sent, +# corpus_size=5, +# iterations=4, +# corpus_offset=0) +# print "main.py: done" +# print g + +# compare_loc_h_cnf() # import cnf_dmv # reload(cnf_dmv) # print "\ntrying cnf-reestimate ##############################" @@ -238,27 +302,3 @@ if __name__ == "__main__": # cnf_dmv.inner_sent, # corpus_size=5, # iterations=4) - - rnd_grammars_test() - -# import loc_h_dmv -# reload(loc_h_dmv) -# print "\ntrying reestimate v.1 ##############################" -# g = test_likelihood(loc_h_dmv.reestimate, -# initialize_loc_h, -# loc_h_dmv.inner_sent, -# corpus_size=6268, -# iterations=100, -# corpus_offset=0, -# eval=True) -# print g - -# print "\ntrying reestimate v.2 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We initialized +attachment probabilities with the following formula: + +\begin{align*} + P_{ATTACH}(a|h,right) = \frac + {\sum_{s \in S}\sum_{\LOC{h} \in s} \sum_{\LOC{a} \in s:loc(\LOC{a})>loc(\LOC{h})} 1/(loc(\LOC{a})-loc(\LOC{h})) + C_A} + {\sum_{s \in S}\sum_{\LOC{h} \in s} \sum_{\LOC{w} \in s:loc(\LOC{w})>loc(\LOC{h})} 1/(loc(\LOC{w})-loc(\LOC{h})) + C_A} +\end{align*} + +The probability of stopping adjacently (left or right) was increased +whenever a word occured at a (left or right) sentence +border\footnote{For non-adjacent stopping we checked for occurence at + the second(-to-last) position.}: + +\begin{align*} + f(stop:\LOC{h},left,adj)=\begin{cases} + C_S \text{, if } loc(\LOC{h}) = 0,\\ + 0 \text{, otherwise} + \end{cases} +\end{align*} + +\begin{align*} + P_{STOP}(stop|h,left,adj) = \frac + {C_{M} + \sum_{s \in S}\sum_{\LOC{h} \in s} f(stop:\LOC{h},left,adj)} + {C_{M} + \sum_{s \in S}\sum_{\LOC{h} \in s} C_S+C_N} +\end{align*} + +Tweaking the initialization constants $C_A, C_M, C_S$ and $C_N$ +allowed us to easily try different inital distributions. + \bibliography{./statistical.bib} \bibliographystyle{plainnat} -- 2.11.4.GIT