crf-chain1 (empty) → 0.2.0
raw patch · 15 files changed
+1216/−0 lines, 15 filesdep +arraydep +basedep +binarysetup-changed
Dependencies added: array, base, binary, containers, data-lens, logfloat, monad-codec, parallel, random, sgd, vector, vector-binary
Files
- Data/CRF/Chain1.hs +47/−0
- Data/CRF/Chain1/DP.hs +43/−0
- Data/CRF/Chain1/Dataset/Codec.hs +134/−0
- Data/CRF/Chain1/Dataset/External.hs +43/−0
- Data/CRF/Chain1/Dataset/Internal.hs +68/−0
- Data/CRF/Chain1/Feature.hs +86/−0
- Data/CRF/Chain1/Feature/Hidden.hs +66/−0
- Data/CRF/Chain1/Feature/Present.hs +56/−0
- Data/CRF/Chain1/Inference.hs +257/−0
- Data/CRF/Chain1/Model.hs +223/−0
- Data/CRF/Chain1/Train.hs +90/−0
- Data/CRF/Chain1/Util.hs +12/−0
- LICENSE +26/−0
- Setup.lhs +4/−0
- crf-chain1.cabal +61/−0
+ Data/CRF/Chain1.hs view
@@ -0,0 +1,47 @@+{-# LANGUAGE RecordWildCards #-}++-- | The module provides first-order, linear-chain conditional random fields+-- (CRFs).+--+-- Important feature of the implemented flavour of CRFs is that transition+-- features which are not included in the CRF model are considered to have+-- probability of 0. +-- It is particularly useful when the training material determines the set+-- of possible label transitions (e.g. when using the IOB encoding method).+-- Furthermore, this design decision makes the implementation much faster+-- for sparse datasets.++module Data.CRF.Chain1+(+-- * Data types+ Word+, Sent+, Dist (unDist)+, mkDist+, WordL+, annotate+, SentL++-- * CRF+, CRF (..)+-- ** Training+, train+-- ** Tagging+, tag++-- * Feature selection+, hiddenFeats+, presentFeats+) where++import Data.CRF.Chain1.Dataset.External+import Data.CRF.Chain1.Dataset.Codec+import Data.CRF.Chain1.Feature.Present+import Data.CRF.Chain1.Feature.Hidden+import Data.CRF.Chain1.Train+import qualified Data.CRF.Chain1.Inference as I++-- | Determine the most probable label sequence within the context of the+-- given sentence using the model provided by the 'CRF'.+tag :: (Ord a, Ord b) => CRF a b -> Sent a -> [b]+tag CRF{..} = decodeLabels codec . I.tag model . encodeSent codec
+ Data/CRF/Chain1/DP.hs view
@@ -0,0 +1,43 @@+module Data.CRF.Chain1.DP+( table+, flexible2+, flexible3+) where++import qualified Data.Array as A+import Data.Array ((!))+import Data.Ix (range)++table :: A.Ix i => (i, i) -> ((i -> e) -> i -> e) -> A.Array i e+table bounds f = table' where+ table' = A.listArray bounds+ $ map (f (table' !)) + $ range bounds++down1 :: A.Ix i => (i, i) -> (i -> e) -> i -> e+down1 bounds f = (!) down' where+ down' = A.listArray bounds+ $ map f+ $ range bounds++down2 :: (A.Ix i, A.Ix j) => (j, j) -> (j -> (i, i)) -> (j -> i -> e)+ -> j -> i -> e+down2 bounds1 bounds2 f = (!) down' where+ down' = A.listArray bounds1+ [ down1 (bounds2 i) (f i)+ | i <- range bounds1 ]++flexible2 :: (A.Ix i, A.Ix j) => (j, j) -> (j -> (i, i)) + -> ((j -> i -> e) -> j -> i -> e) -> j -> i -> e+flexible2 bounds1 bounds2 f = (!) flex where+ flex = A.listArray bounds1+ [ down1 (bounds2 i) (f (flex !) i)+ | i <- range bounds1 ]++flexible3 :: (A.Ix j, A.Ix i, A.Ix k) => (k, k) -> (k -> (j, j))+ -> (k -> j -> (i, i)) -> ((k -> j -> i -> e) -> k -> j -> i -> e)+ -> k -> j -> i -> e+flexible3 bounds1 bounds2 bounds3 f = (!) flex where+ flex = A.listArray bounds1+ [ down2 (bounds2 i) (bounds3 i) (f (flex !) i)+ | i <- range bounds1 ]
+ Data/CRF/Chain1/Dataset/Codec.hs view
@@ -0,0 +1,134 @@+module Data.CRF.Chain1.Dataset.Codec+( Codec+, CodecM++, encodeWord'Cu+, encodeWord'Cn+, encodeSent'Cu+, encodeSent'Cn+, encodeSent++, encodeWordL'Cu+, encodeWordL'Cn+, encodeSentL'Cu+, encodeSentL'Cn+, encodeSentL++, decodeLabel+, decodeLabels++, mkCodec+, encodeData+, encodeDataL+) where++import Control.Applicative ((<$>), (<*>), pure)+import Data.Maybe (catMaybes)+import Data.Lens.Common (fstLens, sndLens)+import qualified Data.Set as S+import qualified Data.Map as M+import qualified Data.Vector as V+import qualified Control.Monad.Codec as C++import Data.CRF.Chain1.Dataset.Internal+import Data.CRF.Chain1.Dataset.External++-- | A codec. The first component is used to encode observations+-- of type a, the second one is used to encode labels of type b.+type Codec a b = (C.AtomCodec a, C.AtomCodec b)++-- | Type synonym for the codec monad. It is important to notice that by a+-- codec we denote here a structure of two 'C.AtomCodec's while in the+-- monad-codec package it denotes a monad.+type CodecM a b c = C.Codec (Codec a b) c++-- | Encode the labeled word and update the codec.+encodeWordL'Cu :: (Ord a, Ord b) => WordL a b -> CodecM a b (X, Y)+encodeWordL'Cu word = do+ x <- mkX . map Ob <$>+ mapM (C.encode' fstLens) (S.toList $ fst word)+ y <- mkY <$> sequence+ [ (,) <$> (Lb <$> C.encode sndLens lb) <*> pure pr+ | (lb, pr) <- (M.toList . unDist) (snd word) ]+ return (x, y)++-- | Encodec the labeled word and do *not* update the codec.+-- If the label is not in the codec, use the default value.+encodeWordL'Cn :: (Ord a, Ord b) => Int -> WordL a b -> CodecM a b (X, Y)+encodeWordL'Cn i word = do+ x <- mkX . map Ob . catMaybes <$>+ mapM (C.maybeEncode fstLens) (S.toList $ fst word)+ y <- mkY <$> sequence+ [ (,) <$> encodeL i lb <*> pure pr+ | (lb, pr) <- (M.toList . unDist) (snd word) ]+ return (x, y)+ where+ encodeL j y = Lb . maybe j id <$> C.maybeEncode sndLens y++-- | Encode the word and update the codec.+encodeWord'Cu :: Ord a => Word a -> CodecM a b X+encodeWord'Cu word =+ mkX . map Ob <$> mapM (C.encode' fstLens) (S.toList word)++-- | Encode the word and do *not* update the codec.+encodeWord'Cn :: Ord a => Word a -> CodecM a b X+encodeWord'Cn word = + mkX . map Ob . catMaybes <$> mapM (C.maybeEncode fstLens) (S.toList word)++-- | Encode the labeled sentence and update the codec.+encodeSentL'Cu :: (Ord a, Ord b) => SentL a b -> CodecM a b (Xs, Ys)+encodeSentL'Cu sent = do+ ps <- mapM encodeWordL'Cu sent+ return (V.fromList (map fst ps), V.fromList (map snd ps))++-- | Encode the labeled sentence and do *not* update the codec.+-- Substitute the default label for any label not present in the codec.+encodeSentL'Cn :: (Ord a, Ord b) => b -> SentL a b -> CodecM a b (Xs, Ys)+encodeSentL'Cn def sent = do+ i <- C.maybeEncode sndLens def >>= \mi -> case mi of+ Just _i -> return _i+ Nothing -> error "encodeWordL'Cn: default label not in the codec"+ ps <- mapM (encodeWordL'Cn i) sent+ return (V.fromList (map fst ps), V.fromList (map snd ps))++-- | Encode the labeled sentence with the given codec. Substitute the+-- default label for any label not present in the codec.+encodeSentL :: (Ord a, Ord b) => b -> Codec a b -> SentL a b -> (Xs, Ys)+encodeSentL def codec = C.evalCodec codec . encodeSentL'Cn def++-- | Encode the sentence and update the codec.+encodeSent'Cu :: Ord a => Sent a -> CodecM a b Xs+encodeSent'Cu = fmap V.fromList . mapM encodeWord'Cu++-- | Encode the sentence and do *not* update the codec.+encodeSent'Cn :: Ord a => Sent a -> CodecM a b Xs+encodeSent'Cn = fmap V.fromList . mapM encodeWord'Cn++-- | Encode the sentence using the given codec.+encodeSent :: Ord a => Codec a b -> Sent a -> Xs+encodeSent codec = C.evalCodec codec . encodeSent'Cn++-- | Create the codec on the basis of the labeled dataset, return the+-- resultant codec and the encoded dataset.+mkCodec :: (Ord a, Ord b) => [SentL a b] -> (Codec a b, [(Xs, Ys)])+mkCodec =+ let swap (x, y) = (y, x)+ in swap . C.runCodec (C.empty, C.empty) . mapM encodeSentL'Cu++-- | Encode the labeled dataset using the codec. Substitute the default+-- label for any label not present in the codec.+encodeDataL :: (Ord a, Ord b) => b -> Codec a b -> [SentL a b] -> [(Xs, Ys)]+encodeDataL def codec = C.evalCodec codec . mapM (encodeSentL'Cn def)++-- | Encode the dataset with the codec.+encodeData :: Ord a => Codec a b -> [Sent a] -> [Xs]+encodeData codec = map (encodeSent codec)++-- | Decode the label.+decodeLabel :: Ord b => Codec a b -> Lb -> b+decodeLabel codec x = C.evalCodec codec $ C.decode sndLens (unLb x)++-- | Decode the sequence of labels.+decodeLabels :: Ord b => Codec a b -> [Lb] -> [b]+decodeLabels codec xs = C.evalCodec codec $+ sequence [C.decode sndLens (unLb x) | x <- xs]
+ Data/CRF/Chain1/Dataset/External.hs view
@@ -0,0 +1,43 @@+module Data.CRF.Chain1.Dataset.External+( Word+, Sent+, Dist (unDist)+, mkDist+, WordL+, annotate+, SentL+) where++import qualified Data.Set as S+import qualified Data.Map as M++-- | A Word is represented by a set of observations.+type Word a = S.Set a++-- | A sentence of words.+type Sent a = [Word a]++-- | A probability distribution defined over elements of type a.+-- All elements not included in the map have probability equal+-- to 0.+newtype Dist a = Dist { unDist :: M.Map a Double }++-- | Construct the probability distribution.+mkDist :: Ord a => [(a, Double)] -> Dist a+mkDist =+ Dist . normalize . M.fromListWith (+)+ where+ normalize dist =+ let z = sum (M.elems dist)+ in fmap (/z) dist++-- | A WordL is a labeled word, i.e. a word with probability distribution+-- defined over labels.+type WordL a b = (Word a, Dist b)++-- | Annotate the word with the label.+annotate :: Word a -> b -> WordL a b+annotate w x = (w, Dist (M.singleton x 1))++-- | A sentence of labeled words.+type SentL a b = [WordL a b]
+ Data/CRF/Chain1/Dataset/Internal.hs view
@@ -0,0 +1,68 @@+{-# LANGUAGE GeneralizedNewtypeDeriving #-}++module Data.CRF.Chain1.Dataset.Internal+( Ob (..)+, Lb (..)++, X (..)+, mkX+, unX+, Xs++, Y (..)+, mkY+, unY+, Ys+) where++import Data.Vector.Generic.Base+import Data.Vector.Generic.Mutable+import Data.Binary (Binary)+import Data.Ix (Ix)+import qualified Data.Vector as V+import qualified Data.Vector.Unboxed as U++-- | An observation.+newtype Ob = Ob { unOb :: Int }+ deriving ( Show, Read, Eq, Ord, Binary+ , Vector U.Vector, MVector U.MVector, U.Unbox )++-- | A label.+newtype Lb = Lb { unLb :: Int }+ deriving ( Show, Read, Eq, Ord, Binary+ , Vector U.Vector, MVector U.MVector, U.Unbox+ , Num, Ix )++-- | Simple word represented by a list of its observations.+newtype X = X { _unX :: U.Vector Ob }+ deriving (Show, Read, Eq, Ord)++-- | X constructor.+mkX :: [Ob] -> X+mkX = X . U.fromList+{-# INLINE mkX #-}++-- | X deconstructor symetric to mkX.+unX :: X -> [Ob]+unX = U.toList . _unX+{-# INLINE unX #-}++-- | Sentence of words.+type Xs = V.Vector X++-- | Probability distribution over labels. +newtype Y = Y { _unY :: U.Vector (Lb, Double) }+ deriving (Show, Read, Eq, Ord)++-- | Y constructor.+mkY :: [(Lb, Double)] -> Y+mkY = Y . U.fromList+{-# INLINE mkY #-}++-- | Y deconstructor symetric to mkY.+unY :: Y -> [(Lb, Double)]+unY = U.toList . _unY+{-# INLINE unY #-}++-- | Sentence of Y (label choices).+type Ys = V.Vector Y
+ Data/CRF/Chain1/Feature.hs view
@@ -0,0 +1,86 @@+module Data.CRF.Chain1.Feature+( Feature (..)+, isSFeat+, isTFeat+, isOFeat+, featuresIn+) where++import Data.Binary (Binary, Get, put, get)+import Control.Applicative ((<*>), (<$>))+import qualified Data.Vector as V+import qualified Data.Number.LogFloat as L++import Data.CRF.Chain1.Dataset.Internal++-- | A Feature is either an observation feature OFeature o x, which+-- models relation between observation o and label x assigned to+-- the same word, or a transition feature TFeature x y (SFeature x+-- for the first position in the sentence), which models relation+-- between two subsequent labels, x (on i-th position) and y+-- (on (i-1)-th positoin).+data Feature+ = SFeature+ {-# UNPACK #-} !Lb+ | TFeature+ {-# UNPACK #-} !Lb+ {-# UNPACK #-} !Lb+ | OFeature+ {-# UNPACK #-} !Ob+ {-# UNPACK #-} !Lb+ deriving (Show, Eq, Ord)++instance Binary Feature where+ put (SFeature x) = put (0 :: Int) >> put x+ put (TFeature x y) = put (1 :: Int) >> put (x, y)+ put (OFeature o x) = put (2 :: Int) >> put (o, x)+ get = do+ k <- get :: Get Int+ case k of+ 0 -> SFeature <$> get+ 1 -> TFeature <$> get <*> get+ 2 -> OFeature <$> get <*> get+ _ -> error "Binary Feature: unknown identifier"++-- | Is it a 'SFeature'?+isSFeat :: Feature -> Bool+isSFeat (SFeature _) = True+isSFeat _ = False+{-# INLINE isSFeat #-}++-- | Is it an 'OFeature'?+isOFeat :: Feature -> Bool+isOFeat (OFeature _ _) = True+isOFeat _ = False+{-# INLINE isOFeat #-}++-- | Is it a 'TFeature'?+isTFeat :: Feature -> Bool+isTFeat (TFeature _ _) = True+isTFeat _ = False+{-# INLINE isTFeat #-}++-- | Transition features with assigned probabilities for given position.+trFeats :: Ys -> Int -> [(Feature, L.LogFloat)]+trFeats ys 0 =+ [ (SFeature x, L.logFloat px)+ | (x, px) <- unY (ys V.! 0) ]+trFeats ys k =+ [ (TFeature x y, L.logFloat px * L.logFloat py)+ | (x, px) <- unY (ys V.! k)+ , (y, py) <- unY (ys V.! (k-1)) ]++-- | Observation features with assigned probabilities for a given position.+obFeats :: Xs -> Ys -> Int -> [(Feature, L.LogFloat)]+obFeats xs ys k =+ [ (OFeature o x, L.logFloat px)+ | (x, px) <- unY (ys V.! k)+ , o <- unX (xs V.! k) ]++-- | All features with assigned probabilities for given position.+features :: Xs -> Ys -> Int -> [(Feature, L.LogFloat)]+features xs ys k = trFeats ys k ++ obFeats xs ys k++-- | All features with assigned probabilities in given labeled sentence.+featuresIn :: Xs -> Ys -> [(Feature, L.LogFloat)]+featuresIn xs ys = concatMap (features xs ys) [0 .. V.length xs - 1]
+ Data/CRF/Chain1/Feature/Hidden.hs view
@@ -0,0 +1,66 @@+-- | The module provides feature selection functions which extract+-- hidden features, i.e. all features which can be constructed +-- (by means of cartesian product) on the basis of the set of+-- observations and the set of labels.+-- For example, the list of hidden observation features can+-- be defined as 'OFeature' '<$>' os '<*>' xs, where os is a+-- list of all observations and xs is a list of all labels.+--+-- You can mix functions defined here with the selection functions+-- from the "Data.CRF.Chain1.Feature.Present" module.++module Data.CRF.Chain1.Feature.Hidden+( hiddenFeats+, hiddenOFeats+, hiddenTFeats+, hiddenSFeats+) where++import qualified Data.Set as S+import qualified Data.Vector as V++import Data.CRF.Chain1.Dataset.Internal+import Data.CRF.Chain1.Feature++-- | Hidden 'OFeature's which can be constructed based on the dataset.+hiddenOFeats :: [(Xs, Ys)] -> [Feature]+hiddenOFeats ds =+ [ OFeature o x+ | o <- collectObs ds+ , x <- collectLbs ds ]++-- | Hidden 'TFeature's which can be constructed based on the dataset.+hiddenTFeats :: [(Xs, Ys)] -> [Feature]+hiddenTFeats ds =+ let xs = collectLbs ds+ in [TFeature x y | x <- xs, y <- xs]++-- | Hidden 'SFeature's which can be constructed based on the dataset.+hiddenSFeats :: [(Xs, Ys)] -> [Feature]+hiddenSFeats = map SFeature . collectLbs++-- | Hidden 'Feature's of all types which can be constructed+-- based on the dataset.+hiddenFeats :: [(Xs, Ys)] -> [Feature]+hiddenFeats ds+ = hiddenOFeats ds+ ++ hiddenTFeats ds+ ++ hiddenSFeats ds++collectObs :: [(Xs, Ys)] -> [Ob]+collectObs = nub . concatMap (sentObs . fst)++collectLbs :: [(Xs, Ys)] -> [Lb]+collectLbs = nub . concatMap (sentLbs . snd)++sentObs :: Xs -> [Ob]+sentObs = concatMap unX . V.toList++sentLbs :: Ys -> [Lb]+sentLbs = concatMap lbsAll . V.toList++lbsAll :: Y -> [Lb]+lbsAll = map fst . unY++nub :: Ord a => [a] -> [a]+nub = S.toList . S.fromList
+ Data/CRF/Chain1/Feature/Present.hs view
@@ -0,0 +1,56 @@+-- | The module provides feature selection functions which extract+-- features present in the dataset, i.e. features which directly occure+-- the dataset.+--+-- You can mix functions defined here with the selection functions+-- from the "Data.CRF.Chain1.Feature.Hidden" module.++module Data.CRF.Chain1.Feature.Present+( presentFeats+, presentOFeats+, presentTFeats+, presentSFeats+) where++import qualified Data.Vector as V++import Data.CRF.Chain1.Dataset.Internal+import Data.CRF.Chain1.Feature++-- | 'OFeature's which occur in the dataset.+presentOFeats :: [(Xs, Ys)] -> [Feature]+presentOFeats ds =+ concatMap sentOFeats ds+ where+ sentOFeats (xs, ys) = concatMap oFeatsOn (zip (V.toList xs) (V.toList ys))+ oFeatsOn (x, choice) =+ [ OFeature o y+ | o <- unX x+ , y <- lbs choice ]++-- | 'TFeature's which occur in the dataset.+presentTFeats :: [(a, Ys)] -> [Feature]+presentTFeats ds =+ concatMap (sentTFeats.snd) ds+ where+ sentTFeats ys = concatMap (tFeatsOn ys) [1 .. V.length ys - 1]+ tFeatsOn ys k =+ [ TFeature x y+ | x <- lbs (ys V.! k)+ , y <- lbs (ys V.! (k-1)) ]++-- | 'SFeature's which occur in the dataset.+presentSFeats :: [(a, Ys)] -> [Feature]+presentSFeats ds =+ let sentSFeats s = [SFeature x | x <- lbs (s V.! 0)] + in concatMap (sentSFeats.snd) ds++-- | 'Feature's of all kinds which occur in the dataset.+presentFeats :: [(Xs, Ys)] -> [Feature]+presentFeats ds+ = presentOFeats ds+ ++ presentTFeats ds+ ++ presentSFeats ds++lbs :: Y -> [Lb]+lbs = map fst . unY
+ Data/CRF/Chain1/Inference.hs view
@@ -0,0 +1,257 @@+{-# LANGUAGE FlexibleContexts #-}++-- Inference with CRFs.++module Data.CRF.Chain1.Inference+( tag+, accuracy+, expectedFeaturesIn+, zx+, zx'+) where++import Data.List (maximumBy)+import Data.Function (on)+import qualified Data.Array as A+import qualified Data.Vector as V++import Control.Parallel.Strategies (rseq, parMap)+import Control.Parallel (par, pseq)+import GHC.Conc (numCapabilities)+import qualified Data.Number.LogFloat as L++import qualified Data.CRF.Chain1.DP as DP+import Data.CRF.Chain1.Util (partition)+import Data.CRF.Chain1.Dataset.Internal+import Data.CRF.Chain1.Model++type ProbArray = Int -> Lb -> L.LogFloat+type AccF = [L.LogFloat] -> L.LogFloat++-- | Compute the table of potential products associated with +-- observation features for the given sentence position.+computePsi :: Model -> Xs -> Int -> Lb -> L.LogFloat+computePsi crf xs i = (A.!) $ A.accumArray (*) 1 bounds+ [ (x, valueL crf ix)+ | ob <- unX (xs V.! i)+ , (x, ix) <- obIxs crf ob ]+ where+ bounds = (Lb 0, Lb $ lbNum crf - 1)++-- | Forward table computation.+forward :: AccF -> Model -> Xs -> ProbArray+forward acc crf sent = DP.flexible2+ (0, V.length sent) wordBounds+ (\t k -> withMem (computePsi crf sent k) t k)+ where+ wordBounds k+ | k == V.length sent = (Lb 0, Lb 0)+ | otherwise = (Lb 0, Lb $ lbNum crf - 1)+ -- | Forward table equation, where k is current position, x is a label+ -- on current position and psi is a psi table computed for current+ -- position.+ -- FIXME: null sentence?+ withMem psi alpha k x+ | k == 0 = psi x * sgValue crf x + | k == V.length sent = acc+ [ alpha (k - 1) y+ | y <- lbSet crf ]+ | otherwise = acc+ [ alpha (k - 1) y * psi x * valueL crf ix+ | (y, ix) <- prevIxs crf x ]++-- | Backward table computation.+backward :: AccF -> Model -> Xs -> ProbArray+backward acc crf sent = DP.flexible2+ (0, V.length sent) wordBounds+ (\t k -> withMem (computePsi crf sent k) t k)+ where+ wordBounds k+ | k == 0 = (Lb 0, Lb 0)+ | otherwise = (Lb 0, Lb $ lbNum crf - 1)+ -- | Backward table equation, where k is current position, y is a label+ -- on previous, k-1, position and psi is a psi table computed for current+ -- position.+ withMem psi beta k y+ | k == V.length sent = 1+ | k == 0 = acc+ [ beta (k + 1) x * psi x * valueL crf ix+ | (x, ix) <- sgIxs crf ]+ | otherwise = acc+ [ beta (k + 1) x * psi x * valueL crf ix+ | (x, ix) <- nextIxs crf y ]++zxBeta :: ProbArray -> L.LogFloat+zxBeta beta = beta 0 0++zxAlpha :: Xs -> ProbArray -> L.LogFloat+zxAlpha sent alpha = alpha (V.length sent) 0++-- | Normalization factor computed for the 'Xs' sentence using the+-- backward computation.+zx :: Model -> Xs -> L.LogFloat+zx crf = zxBeta . backward sum crf++-- | Normalization factor computed for the 'Xs' sentence using the+-- forward computation.+zx' :: Model -> Xs -> L.LogFloat+zx' crf sent = zxAlpha sent (forward sum crf sent)++--------------------------------------------------------------+argmax :: Ord b => (a -> b) -> [a] -> (a, b)+argmax _ [] = error "argmax: null list"+argmax f xs =+ foldl1 choice $ map (\x -> (x, f x)) xs+ where+ choice (x1, v1) (x2, v2)+ | v1 > v2 = (x1, v1)+ | otherwise = (x2, v2)++-- | Determine the most probable label sequence given the context of the+-- CRF model and the sentence.+tag :: Model -> Xs -> [Lb]+tag crf sent = collectMaxArg (0, 0) [] $ DP.flexible2+ (0, V.length sent) wordBounds+ (\t k -> withMem (computePsi crf sent k) t k)+ where+ wordBounds k+ | k == 0 = (Lb 0, Lb 0)+ | otherwise = (Lb 0, Lb $ lbNum crf - 1)++ withMem psi mem k y+ | k == V.length sent = (-1, 1)+ | k == 0 = prune . argmax eval $ sgIxs crf+ | otherwise = prune . argmax eval $ nextIxs crf y+ where+ eval (x, ix) = (snd $ mem (k + 1) x) * psi x * valueL crf ix+ prune ((x, _ix), v) = (x, v)++ collectMaxArg (i, j) acc mem =+ collect (mem i j)+ where+ collect (h, _)+ | h == -1 = reverse acc+ | otherwise = collectMaxArg (i + 1, h) (h:acc) mem++-- tagProbs :: Sent s => Model -> s -> [[Double]]+-- tagProbs crf sent =+-- let alpha = forward maximum crf sent+-- beta = backward maximum crf sent+-- normalize vs =+-- let d = - logSum vs+-- in map (+d) vs+-- m1 k x = alpha k x + beta (k + 1) x+-- in [ map exp $ normalize [m1 i k | k <- interpIxs sent i]+-- | i <- [0 .. V.length sent - 1] ]+-- +-- -- tag probabilities with respect to+-- -- marginal distributions+-- tagProbs' :: Sent s => Model -> s -> [[Double]]+-- tagProbs' crf sent =+-- let alpha = forward logSum crf sent+-- beta = backward logSum crf sent+-- in [ [ exp $ prob1 crf alpha beta sent i k+-- | k <- interpIxs sent i ]+-- | i <- [0 .. V.length sent - 1] ]++goodAndBad :: Model -> Xs -> Ys -> (Int, Int)+goodAndBad crf sent labels =+ foldl gather (0, 0) (zip labels' labels'')+ where+ labels' = [ fst . maximumBy (compare `on` snd) $ unY (labels V.! i)+ | i <- [0 .. V.length labels - 1] ]+ labels'' = tag crf sent+ gather (good, bad) (x, y)+ | x == y = (good + 1, bad)+ | otherwise = (good, bad + 1)++goodAndBad' :: Model -> [(Xs, Ys)] -> (Int, Int)+goodAndBad' crf dataset =+ let add (g, b) (g', b') = (g + g', b + b')+ in foldl add (0, 0) [goodAndBad crf x y | (x, y) <- dataset]++-- | Compute the accuracy of the model with respect to the labeled dataset.+accuracy :: Model -> [(Xs, Ys)] -> Double+accuracy crf dataset =+ let k = numCapabilities+ parts = partition k dataset+ xs = parMap rseq (goodAndBad' crf) parts+ (good, bad) = foldl add (0, 0) xs+ add (g, b) (g', b') = (g + g', b + b')+ in fromIntegral good / fromIntegral (good + bad)++--------------------------------------------------------------++-- prob :: L.Vect t Int => Model -> Sent Int t -> Double+-- prob crf sent =+-- sum [ phiOn crf sent k+-- | k <- [0 .. (length sent) - 1] ]+-- - zx' crf sent+-- +-- -- TODO: Wziac pod uwage "Regularization Variance" !+-- cll :: Model -> [Sentence] -> Double+-- cll crf dataset = sum [prob crf sent | sent <- dataset]++-- prob2 :: SentR s => Model -> ProbArray -> ProbArray -> s+-- -> Int -> Lb -> Lb -> Double+-- prob2 crf alpha beta sent k x y+-- = alpha (k - 1) y + beta (k + 1) x+-- + phi crf (observationsOn sent k) a b+-- - zxBeta beta+-- where+-- a = interp sent k x+-- b = interp sent (k - 1) y++prob2 :: Model -> ProbArray -> ProbArray -> Int -> (Lb -> L.LogFloat)+ -> Lb -> Lb -> FeatIx -> L.LogFloat+prob2 crf alpha beta k psi x y ix+ = alpha (k - 1) y * beta (k + 1) x+ * psi x * valueL crf ix / zxBeta beta++-- prob1 :: SentR s => Model -> ProbArray -> ProbArray+-- -> s -> Int -> Label -> Double+-- prob1 crf alpha beta sent k x = logSum+-- [ prob2 crf alpha beta sent k x y+-- | y <- interpIxs sent (k - 1) ]++prob1 :: ProbArray -> ProbArray -> Int -> Lb -> L.LogFloat+prob1 alpha beta k x =+ alpha k x * beta (k + 1) x / zxBeta beta++expectedFeaturesOn+ :: Model -> ProbArray -> ProbArray -> Xs+ -> Int -> [(FeatIx, L.LogFloat)]+expectedFeaturesOn crf alpha beta sent k =+ tFeats ++ oFeats+ where+ psi = computePsi crf sent k+ pr1 = prob1 alpha beta k+ pr2 = prob2 crf alpha beta k psi++ oFeats = [ (ix, pr1 x) + | o <- unX (sent V.! k)+ , (x, ix) <- obIxs crf o ]++ tFeats+ | k == 0 = + [ (ix, pr1 x) + | (x, ix) <- sgIxs crf ]+ | otherwise =+ [ (ix, pr2 x y ix) + | x <- lbSet crf+ , (y, ix) <- prevIxs crf x ]++-- | A list of features (represented by feature indices) defined within+-- the context of the sentence accompanied by expected probabilities+-- determined on the basis of the model. +--+-- One feature can occur multiple times in the output list.+expectedFeaturesIn :: Model -> Xs -> [(FeatIx, L.LogFloat)]+expectedFeaturesIn crf sent = zxF `par` zxB `pseq` zxF `pseq`+ concat [expectedOn k | k <- [0 .. V.length sent - 1] ]+ where+ expectedOn = expectedFeaturesOn crf alpha beta sent+ alpha = forward sum crf sent+ beta = backward sum crf sent+ zxF = zxAlpha sent alpha+ zxB = zxBeta beta
+ Data/CRF/Chain1/Model.hs view
@@ -0,0 +1,223 @@+{-# LANGUAGE GeneralizedNewtypeDeriving #-}++-- | Internal implementation of the CRF model.++module Data.CRF.Chain1.Model+( FeatIx (..)+, Model (..)+, mkModel+, lbSet+, valueL+, featToIx+, featToInt+, sgValue+, sgIxs+, obIxs+, nextIxs+, prevIxs+) where++import Control.Applicative ((<$>), (<*>))+import Data.List (groupBy, sort)+import Data.Function (on)+import Data.Binary+import Data.Vector.Binary ()+import qualified Data.Vector.Generic.Base as G+import qualified Data.Vector.Generic.Mutable as G+import qualified Data.Set as Set+import qualified Data.Map as M+import qualified Data.Vector.Unboxed as U+import qualified Data.Vector as V+import qualified Data.Number.LogFloat as L++import Data.CRF.Chain1.Dataset.Internal+import Data.CRF.Chain1.Feature++-- | A feature index. To every model feature a unique index is assigned.+newtype FeatIx = FeatIx { unFeatIx :: Int }+ deriving ( Show, Eq, Ord, Binary+ , G.Vector U.Vector, G.MVector U.MVector, U.Unbox )++-- | A label and a feature index determined by that label.+type LbIx = (Lb, FeatIx)++dummyFeatIx :: FeatIx+dummyFeatIx = FeatIx (-1)++isDummy :: FeatIx -> Bool+isDummy (FeatIx ix) = ix < 0++notDummy :: FeatIx -> Bool+notDummy = not . isDummy++-- | The model is realy a map from features to potentials, but for the sake+-- of efficiency the internal representation is more complex.+data Model = Model {+ -- | Value (potential) of the model for feature index.+ values :: U.Vector Double+ -- | A map from features to feature indices+ , ixMap :: M.Map Feature FeatIx+ -- | Number of labels. The label set is of the {0, 1, .., lbNum - 1}+ -- form, which is guaranteed by the codec.+ , lbNum :: Int+ -- | Singular feature index for the given label. Index is equall to -1+ -- if feature is not present in the model.+ , sgIxsV :: U.Vector FeatIx+ -- | Set of labels for the given observation which, together with the+ -- observation, constitute an observation feature of the model. + , obIxsV :: V.Vector (U.Vector LbIx)+ -- | Set of ,,previous'' labels for the value of the ,,current'' label.+ -- Both labels constitute a transition feature present in the the model.+ , prevIxsV :: V.Vector (U.Vector LbIx)+ -- | Set of ,,next'' labels for the value of the ,,current'' label.+ -- Both labels constitute a transition feature present in the the model.+ , nextIxsV :: V.Vector (U.Vector LbIx) }++instance Binary Model where+ put crf = do+ put $ values crf+ put $ ixMap crf+ put $ lbNum crf+ put $ sgIxsV crf+ put $ obIxsV crf+ put $ prevIxsV crf+ put $ nextIxsV crf+ get = Model <$> get <*> get <*> get <*> get <*> get <*> get <*> get++-- | Construct CRF model from associations list. There should be+-- no repetition of features in the input list.+fromList :: [(Feature, Double)] -> Model+fromList fs =+ let featLbs (SFeature x) = [x]+ featLbs (OFeature _ x) = [x]+ featLbs (TFeature x y) = [x, y]+ featObs (OFeature o _) = [o]+ featObs _ = []++ _ixMap = M.fromList $ zip+ (map fst fs)+ (map FeatIx [0..])+ + _obSet = nub $ concatMap (featObs . fst) fs+ _obNum = length _obSet+ _lbSet = nub $ concatMap (featLbs . fst) fs+ _lbNum = length _lbSet++ sFeats = [feat | (feat, _val) <- fs, isSFeat feat]+ tFeats = [feat | (feat, _val) <- fs, isTFeat feat]+ oFeats = [feat | (feat, _val) <- fs, isOFeat feat]+ + _sgIxsV = sgVects _lbNum+ [ (unLb x, featToIx crf feat)+ | feat@(SFeature x) <- sFeats ]++ _prevIxsV = adjVects _lbNum+ [ (unLb x, (y, featToIx crf feat))+ | feat@(TFeature x y) <- tFeats ]++ _nextIxsV = adjVects _lbNum+ [ (unLb y, (x, featToIx crf feat))+ | feat@(TFeature x y) <- tFeats ]++ _obIxsV = adjVects _obNum+ [ (unOb o, (x, featToIx crf feat))+ | feat@(OFeature o x) <- oFeats ]++ -- | Adjacency vectors.+ adjVects n xs =+ V.replicate n (U.fromList []) V.// update+ where+ update = map mkVect $ groupBy ((==) `on` fst) $ sort xs+ mkVect (y:ys) = (fst y, U.fromList $ sort $ map snd (y:ys))+ mkVect [] = error "mkVect: null list"++ sgVects n xs = U.replicate n dummyFeatIx U.// xs++ _values = U.replicate (length fs) 0.0+ U.// [ (featToInt crf feat, val)+ | (feat, val) <- fs ]++ checkSet set cont = if set == [0 .. length set - 1]+ then cont+ else error "Model.fromList: basic assumption not fulfilled"++ crf = Model _values _ixMap _lbNum _sgIxsV _obIxsV _prevIxsV _nextIxsV+ in checkSet (map unLb _lbSet)+ . checkSet (map unOb _obSet)+ $ crf++-- | Construct the model from the list of features. All parameters will be+-- set to 0. There may be repetitions in the input list.+mkModel :: [Feature] -> Model+mkModel fs =+ let fSet = Set.fromList fs+ fs' = Set.toList fSet+ vs = replicate (Set.size fSet) 0.0+ in fromList (zip fs' vs)++-- | List of labels [0 .. 'lbNum' - 1].+lbSet :: Model -> [Lb]+lbSet crf = map Lb [0 .. lbNum crf - 1]++-- | Model potential defined for the given feature interpreted as a+-- number in logarithmic domain.+valueL :: Model -> FeatIx -> L.LogFloat+valueL crf (FeatIx i) = L.logToLogFloat (values crf U.! i)+{-# INLINE valueL #-}++-- | Determine the index for the given feature.+featToIx :: Model -> Feature -> FeatIx+featToIx crf feat = ixMap crf M.! feat+{-# INLINE featToIx #-}++-- | Same as 'featToIx' but immediately unwrap the feature index to+-- integer value.+featToInt :: Model -> Feature -> Int+featToInt crf = unFeatIx . featToIx crf+{-# INLINE featToInt #-}++-- | Potential value (in log domain) of the singular feature with the+-- given label. The value defaults to 0 when the feature is not a+-- member of the model.+sgValue :: Model -> Lb -> L.LogFloat+sgValue crf (Lb x) = + case unFeatIx (sgIxsV crf U.! x) of+ -- FIXME: shoule not be -Infinity? It looks like it doesn't+ -- matter much for know, because that value is ignored anyway,+ -- but the SFeature which is not a member of the model+ -- should have probability of 0.+ -1 -> 0 + ix -> L.logToLogFloat (values crf U.! ix)++-- | List of labels which can be located on the first position of+-- a sentence together with feature indices determined by them.+sgIxs :: Model -> [LbIx]+sgIxs crf+ = filter (notDummy . snd)+ . zip (map Lb [0..])+ . U.toList $ sgIxsV crf+{-# INLINE sgIxs #-}++-- | List of labels which constitute a valid feature in combination with+-- the given observation accompanied by feature indices determined by+-- these labels.+obIxs :: Model -> Ob -> [LbIx]+obIxs crf x = U.toList (obIxsV crf V.! unOb x)+{-# INLINE obIxs #-}++-- | List of ,,next'' labels which constitute a valid feature in combination+-- with the ,,current'' label accompanied by feature indices determined by+-- ,,next'' labels.+nextIxs :: Model -> Lb -> [LbIx]+nextIxs crf x = U.toList (nextIxsV crf V.! unLb x)+{-# INLINE nextIxs #-}++-- | List of ,,previous'' labels which constitute a valid feature in+-- combination with the ,,current'' label accompanied by feature indices+-- determined by ,,previous'' labels.+prevIxs :: Model -> Lb -> [LbIx]+prevIxs crf x = U.toList (prevIxsV crf V.! unLb x)+{-# INLINE prevIxs #-}++nub :: Ord a => [a] -> [a] +nub = Set.toList . Set.fromList
+ Data/CRF/Chain1/Train.hs view
@@ -0,0 +1,90 @@+{-# LANGUAGE RecordWildCards #-}+{-# LANGUAGE PatternGuards #-}++module Data.CRF.Chain1.Train+( CRF (..)+, train+) where++import Control.Applicative ((<$>), (<*>))+import System.IO (hSetBuffering, stdout, BufferMode (..))+import Data.Binary (Binary, put, get)+import qualified Data.Vector as V+import qualified Numeric.SGD as SGD+import qualified Numeric.SGD.LogSigned as L++import Data.CRF.Chain1.Dataset.Internal+import Data.CRF.Chain1.Dataset.External (SentL)+import Data.CRF.Chain1.Dataset.Codec (mkCodec, Codec, encodeDataL)+import Data.CRF.Chain1.Feature (Feature, featuresIn)+import Data.CRF.Chain1.Model (Model (..), mkModel, FeatIx (..), featToInt)+import Data.CRF.Chain1.Inference (accuracy, expectedFeaturesIn)++-- | A conditional random field model with additional codec used for+-- data encoding.+data CRF a b = CRF {+ -- | The codec is used to transform data into internal representation,+ -- where each observation and each label is represented by a unique+ -- integer number.+ codec :: Codec a b,+ -- | The actual model, which is a map from 'Feature's to potentials.+ model :: Model }++instance (Ord a, Ord b, Binary a, Binary b) => Binary (CRF a b) where+ put CRF{..} = put codec >> put model+ get = CRF <$> get <*> get++-- | Train the CRF using the stochastic gradient descent method.+-- The resulting model will contain features extracted with+-- the user supplied extraction function.+-- You can use the functions provided by the "Data.CRF.Chain1.Feature.Present"+-- and "Data.CRF.Chain1.Feature.Hidden" modules for this purpose.+-- When the evaluation data 'IO' action is 'Just', the iterative+-- training process will notify the user about the current accuracy+-- on the evaluation part every full iteration over the training part.+train+ :: (Ord a, Ord b)+ => SGD.SgdArgs -- ^ Args for SGD+ -> IO [SentL a b] -- ^ Training data 'IO' action+ -> Maybe (b, IO [SentL a b]) -- ^ Default label and evalation data+ -> ([(Xs, Ys)] -> [Feature]) -- ^ Feature selection+ -> IO (CRF a b) -- ^ Resulting model+train sgdArgs trainIO evalIO'Maybe extractFeats = do+ hSetBuffering stdout NoBuffering+ (_codec, trainData) <- mkCodec <$> trainIO+ evalDataM <- case evalIO'Maybe of+ Just (x, evalIO) -> Just . encodeDataL x _codec <$> evalIO+ Nothing -> return Nothing+ let crf = mkModel (extractFeats trainData)+ para <- SGD.sgdM sgdArgs+ (notify sgdArgs crf trainData evalDataM)+ (gradOn crf) (V.fromList trainData) (values crf)+ return $ CRF _codec (crf { values = para })++gradOn :: Model -> SGD.Para -> (Xs, Ys) -> SGD.Grad+gradOn crf para (xs, ys) = SGD.fromLogList $+ [ (featToInt curr feat, L.fromPos val)+ | (feat, val) <- featuresIn xs ys ] +++ [ (ix, L.fromNeg val)+ | (FeatIx ix, val) <- expectedFeaturesIn curr xs ]+ where+ curr = crf { values = para }++notify+ :: SGD.SgdArgs -> Model -> [(Xs, Ys)] -> Maybe [(Xs, Ys)]+ -> SGD.Para -> Int -> IO ()+notify SGD.SgdArgs{..} crf trainData evalDataM para k + | doneTotal k == doneTotal (k - 1) = putStr "."+ | Just dataSet <- evalDataM = do+ let x = accuracy (crf { values = para }) dataSet+ putStrLn ("\n" ++ "[" ++ show (doneTotal k) ++ "] f = " ++ show x)+ | otherwise =+ putStrLn ("\n" ++ "[" ++ show (doneTotal k) ++ "] f = #")+ where+ doneTotal :: Int -> Int+ doneTotal = floor . done+ done :: Int -> Double+ done i+ = fromIntegral (i * batchSize)+ / fromIntegral trainSize+ trainSize = length trainData
+ Data/CRF/Chain1/Util.hs view
@@ -0,0 +1,12 @@+module Data.CRF.Chain1.Util+( partition+) where++import Data.List (transpose)++partition :: Int -> [a] -> [[a]]+partition n =+ transpose . group n+ where+ group _ [] = []+ group k xs = take k xs : (group k $ drop k xs)
+ LICENSE view
@@ -0,0 +1,26 @@+Copyright (c) 2012, IPI PAN+All rights reserved.++Redistribution and use in source and binary forms, with or without+modification, are permitted provided that the following conditions+are met:++ * Redistributions of source code must retain the above copyright+ notice, this list of conditions and the following disclaimer.++ * Redistributions in binary form must reproduce the above+ copyright notice, this list of conditions and the following+ disclaimer in the documentation and/or other materials provided+ with the distribution.++THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ Setup.lhs view
@@ -0,0 +1,4 @@+#! /usr/bin/env runhaskell++> import Distribution.Simple+> main = defaultMain
+ crf-chain1.cabal view
@@ -0,0 +1,61 @@+name: crf-chain1+version: 0.2.0+synopsis: First-order, linear-chain conditional random fields+description:+ The library provides efficient implementation of the first-order,+ linear-chain conditional random fields (CRFs).+ .+ Important feature of the implemented flavour of CRFs is that transition+ features which are not included in the CRF model are considered to have+ probability of 0. + It is particularly useful when the training material determines the set+ of possible label transitions (e.g. when using the IOB encoding method).+ Furthermore, this design decision makes the implementation much faster+ for sparse datasets.+license: BSD3+license-file: LICENSE+cabal-version: >= 1.6+copyright: Copyright (c) 2012 IPI PAN+author: Jakub Waszczuk+maintainer: waszczuk.kuba@gmail.com+stability: experimental+category: Math+homepage: https://github.com/kawu/crf-chain1+build-type: Simple++library+ build-depends:+ base >= 4 && < 5+ , containers+ , vector+ , array+ , random+ , parallel+ , logfloat+ , monad-codec >= 0.2 && < 0.3+ , binary+ , vector-binary+ , data-lens+ , sgd >= 0.2.1 && < 0.3++ exposed-modules:+ Data.CRF.Chain1+ , Data.CRF.Chain1.Dataset.Internal+ , Data.CRF.Chain1.Dataset.External+ , Data.CRF.Chain1.Dataset.Codec+ , Data.CRF.Chain1.Feature+ , Data.CRF.Chain1.Feature.Present+ , Data.CRF.Chain1.Feature.Hidden+ , Data.CRF.Chain1.Model+ , Data.CRF.Chain1.Inference+ , Data.CRF.Chain1.Train++ other-modules:+ Data.CRF.Chain1.DP+ Data.CRF.Chain1.Util++ ghc-options: -Wall -O2++source-repository head+ type: git+ location: git://github.com/kawu/crf-chain1.git