1
2
3
4
5
6 """ code for dealing with composite models
7
8 For a model to be useable here, it should support the following API:
9
10 - _ClassifyExample(example)_, returns a classification
11
12 Other compatibility notes:
13
14 1) To use _Composite.Grow_ there must be some kind of builder
15 functionality which returns a 2-tuple containing (model,percent accuracy).
16
17 2) The models should be pickleable
18
19 3) It would be very happy if the models support the __cmp__ method so that
20 membership tests used to make sure models are unique work.
21
22
23
24 """
25 from ML.Data import DataUtils
26 import cPickle
27 import math
28 import numpy
29
31 """a composite model
32
33
34 **Notes**
35
36 - adding a model which is already present just results in its count
37 field being incremented and the errors being averaged.
38
39 - typical usage:
40
41 1) grow the composite with AddModel until happy with it
42
43 2) call AverageErrors to calculate the average error values
44
45 3) call SortModels to put things in order by either error or count
46
47 - Composites can support individual models requiring either quantized or
48 nonquantized data. This is done by keeping a set of quantization bounds
49 (_QuantBounds_) in the composite and quantizing data passed in when required.
50 Quantization bounds can be set and interrogated using the
51 _Get/SetQuantBounds()_ methods. When models are added to the composite,
52 it can be indicated whether or not they require quantization.
53
54 - Composites are also capable of extracting relevant variables from longer lists.
55 This functionality was added to ease interactions with Excel and COM applications.
56 This is accessible using _SetDescriptorNames()_ to register the descriptors about
57 which the composite cares and _SetInputOrder()_ to tell the composite what the
58 ordering of input vectors will be. **Note** there is a limitation on this: each
59 model needs to take the same set of descriptors as inputs. This could be changed.
60
61 """
63 self.modelList=[]
64 self.errList=[]
65 self.countList=[]
66 self.modelVotes=[]
67 self.quantBounds = None
68 self.nPossibleVals = None
69 self.quantizationRequirements=[]
70 self._descNames = []
71 self._mapOrder = None
72 self.activityQuant=[]
73
75 self._modelFilterFrac = modelFilterFrac
76 self._modelFilterVal = modelFilterVal
77
79 """ registers the names of the descriptors this composite uses
80
81 **Arguments**
82
83 - names: a list of descriptor names (strings).
84
85 **NOTE**
86
87 the _names_ list is not
88 copied, so if you modify it later, the composite itself will also be modified.
89
90 """
91 self._descNames = names
93 """ returns the names of the descriptors this composite uses
94
95 """
96 return self._descNames
97
99 """ sets the quantization bounds that the composite will use
100
101 **Arguments**
102
103 - qBounds: a list of quantization bounds, each quantbound is a
104 list of boundaries
105
106 - nPossible: a list of integers indicating how many possible values
107 each descriptor can take on.
108
109 **NOTE**
110
111 - if the two lists are of different lengths, this will assert out
112
113 - neither list is copied, so if you modify it later, the composite
114 itself will also be modified.
115
116
117 """
118 if nPossible is not None:
119 assert len(qBounds)==len(nPossible),'qBounds/nPossible mismatch'
120 self.quantBounds = qBounds
121 self.nPossibleVals = nPossible
122
124 """ returns the quantization bounds
125
126 **Returns**
127
128 a 2-tuple consisting of:
129
130 1) the list of quantization bounds
131
132 2) the nPossibleVals list
133
134 """
135 return self.quantBounds,self.nPossibleVals
136
138 if not hasattr(self,'activityQuant'):
139 self.activityQuant=[]
140 return self.activityQuant
142 self.activityQuant=bounds
144 if activityQuant is None:
145 activityQuant=self.activityQuant
146 if activityQuant:
147 example = example[:]
148 act = example[actCol]
149 for box in xrange(len(activityQuant)):
150 if act < activityQuant[box]:
151 act = box
152 break
153 else:
154 act = box + 1
155 example[actCol] = act
156 return example
157
159 """ quantizes an example
160
161 **Arguments**
162
163 - example: a data point (list, tuple or numpy array)
164
165 - quantBounds: a list of quantization bounds, each quantbound is a
166 list of boundaries. If this argument is not provided, the composite
167 will use its own quantBounds
168
169 **Returns**
170
171 the quantized example as a list
172
173 **Notes**
174
175 - If _example_ is different in length from _quantBounds_, this will
176 assert out.
177
178 - This is primarily intended for internal use
179
180 """
181 if quantBounds is None:
182 quantBounds = self.quantBounds
183 assert len(example)==len(quantBounds),'example/quantBounds mismatch'
184 quantExample = [None]*len(example)
185 for i in xrange(len(quantBounds)):
186 bounds = quantBounds[i]
187 p = example[i]
188 if len(bounds):
189 for box in xrange(len(bounds)):
190 if p < bounds[box]:
191 p = box
192 break
193 else:
194 p = box + 1
195 else:
196 if i != 0:
197 p = int(p)
198 quantExample[i] = p
199 return quantExample
200
202 """ creates a histogram of error/count pairs
203
204 **Returns**
205
206 the histogram as a series of (error, count) 2-tuples
207
208
209 """
210 nExamples = len(self.modelList)
211 histo = []
212 i = 1
213 lastErr = self.errList[0]
214 countHere = self.countList[0]
215 eps = 0.001
216 while i < nExamples:
217 if self.errList[i]-lastErr > eps:
218 histo.append((lastErr,countHere))
219 lastErr = self.errList[i]
220 countHere = self.countList[i]
221 else:
222 countHere = countHere + self.countList[i]
223 i = i + 1
224
225 return histo
226
227 - def CollectVotes(self,example,quantExample,appendExample=0,
228 onlyModels=None):
229 """ collects votes across every member of the composite for the given example
230
231 **Arguments**
232
233 - example: the example to be voted upon
234
235 - quantExample: the quantized form of the example
236
237 - appendExample: toggles saving the example on the models
238
239 - onlyModels: if provided, this should be a sequence of model
240 indices. Only the specified models will be used in the
241 prediction.
242
243 **Returns**
244
245 a list with a vote from each member
246
247 """
248 if not onlyModels:
249 onlyModels = range(len(self))
250
251 nModels = len(onlyModels)
252 votes = [-1]*len(self)
253 for i in onlyModels:
254 if self.quantizationRequirements[i]:
255 votes[i] = int(round(self.modelList[i].ClassifyExample(quantExample,
256 appendExamples=appendExample)))
257 else:
258 votes[i] = int(round(self.modelList[i].ClassifyExample(example,
259 appendExamples=appendExample)))
260
261 return votes
262
263 - def ClassifyExample(self,example,threshold=0,appendExample=0,
264 onlyModels=None):
265 """ classifies the given example using the entire composite
266
267 **Arguments**
268
269 - example: the data to be classified
270
271 - threshold: if this is a number greater than zero, then a
272 classification will only be returned if the confidence is
273 above _threshold_. Anything lower is returned as -1.
274
275 - appendExample: toggles saving the example on the models
276
277 - onlyModels: if provided, this should be a sequence of model
278 indices. Only the specified models will be used in the
279 prediction.
280
281 **Returns**
282
283 a (result,confidence) tuple
284
285
286 **FIX:**
287 statistics sucks... I'm not seeing an obvious way to get
288 the confidence intervals. For that matter, I'm not seeing
289 an unobvious way.
290
291 For now, this is just treated as a voting problem with the confidence
292 measure being the percent of models which voted for the winning result.
293
294 """
295 if self._mapOrder is not None:
296 example = self._RemapInput(example)
297 if self.GetActivityQuantBounds():
298 example = self.QuantizeActivity(example)
299 if self.quantBounds is not None and 1 in self.quantizationRequirements:
300 quantExample = self.QuantizeExample(example,self.quantBounds)
301 else:
302 quantExample = []
303
304 if not onlyModels:
305 onlyModels = range(len(self))
306 self.modelVotes = self.CollectVotes(example,quantExample,appendExample=appendExample,
307 onlyModels=onlyModels)
308
309 votes = [0]*self.nPossibleVals[-1]
310 for i in onlyModels:
311 res = self.modelVotes[i]
312 votes[res] = votes[res] + self.countList[i]
313
314 totVotes = sum(votes)
315 res = numpy.argmax(votes)
316 conf = float(votes[res])/float(totVotes)
317 if conf > threshold:
318 return res,conf
319 else:
320 return -1,conf
321
323 """ returns the votes from the last classification
324
325 This will be _None_ if nothing has yet be classified
326 """
327 return self.modelVotes
328
360
366
408
409 - def Grow(self,examples,attrs,nPossibleVals,buildDriver,pruner=None,
410 nTries=10,pruneIt=0,
411 needsQuantization=1,progressCallback=None,
412 **buildArgs):
413 """ Grows the composite
414
415 **Arguments**
416
417 - examples: a list of examples to be used in training
418
419 - attrs: a list of the variables to be used in training
420
421 - nPossibleVals: this is used to provide a list of the number
422 of possible values for each variable. It is used if the
423 local quantBounds have not been set (for example for when you
424 are working with data which is already quantized).
425
426 - buildDriver: the function to call to build the new models
427
428 - pruner: a function used to "prune" (reduce the complexity of)
429 the resulting model.
430
431 - nTries: the number of new models to add
432
433 - pruneIt: toggles whether or not pruning is done
434
435 - needsQuantization: used to indicate whether or not this type of model
436 requires quantized data
437
438 - **buildArgs: all other keyword args are passed to _buildDriver_
439
440 **Note**
441
442 - new models are *added* to the existing ones
443
444 """
445 try:
446 silent = buildArgs['silent']
447 except:
448 silent = 0
449 buildArgs['silent']=1
450 buildArgs['calcTotalError']=1
451
452 if self._mapOrder is not None:
453 examples = map(self._RemapInput,examples)
454 if self.GetActivityQuantBounds():
455 for i in xrange(len(examples)):
456 examples[i] = self.QuantizeActivity(examples[i])
457 nPossibleVals[-1]=len(self.GetActivityQuantBounds())+1
458 if self.nPossibleVals is None:
459 self.nPossibleVals = nPossibleVals[:]
460 if needsQuantization:
461 trainExamples = [None]*len(examples)
462 nPossibleVals = self.nPossibleVals
463 for i in xrange(len(examples)):
464 trainExamples[i] = self.QuantizeExample(examples[i],self.quantBounds)
465 else:
466 trainExamples = examples
467
468 for i in xrange(nTries):
469 trainSet = None
470
471 if (hasattr(self, '_modelFilterFrac')) and (self._modelFilterFrac != 0) :
472 trainIdx, temp = DataUtils.FilterData(trainExamples, self._modelFilterVal,
473 self._modelFilterFrac,-1, indicesOnly=1)
474 trainSet = [trainExamples[x] for x in trainIdx]
475
476 else:
477 trainSet = trainExamples
478
479
480 model,frac = apply(buildDriver,(trainSet,attrs,nPossibleVals),
481 buildArgs)
482 if pruneIt:
483 model,frac2 = pruner(model,model.GetTrainingExamples(),
484 model.GetTestExamples(),
485 minimizeTestErrorOnly=0)
486 frac = frac2
487 if hasattr(self, '_modelFilterFrac') and self._modelFilterFrac!=0 and \
488 hasattr(model,'_trainIndices'):
489
490 trainIndices = [trainIdx[x] for x in model._trainIndices]
491 model._trainIndices = trainIndices
492
493 self.AddModel(model,frac,needsQuantization)
494 if not silent and (nTries < 10 or i % (nTries/10) == 0):
495 print 'Cycle: % 4d'%(i)
496 if progressCallback is not None:
497 progressCallback(i)
498
499
501 for i in range(len(self)):
502 m = self.GetModel(i)
503 try:
504 m.ClearExamples()
505 except AttributeError:
506 pass
507
508 - def Pickle(self,fileName='foo.pkl',saveExamples=0):
509 """ Writes this composite off to a file so that it can be easily loaded later
510
511 **Arguments**
512
513 - fileName: the name of the file to be written
514
515 - saveExamples: if this is zero, the individual models will have
516 their stored examples cleared.
517
518 """
519 if not saveExamples:
520 self.ClearModelExamples()
521
522 pFile = open(fileName,'wb+')
523 cPickle.dump(self,pFile,1)
524 pFile.close()
525
526 - def AddModel(self,model,error,needsQuantization=1):
527 """ Adds a model to the composite
528
529 **Arguments**
530
531 - model: the model to be added
532
533 - error: the model's error
534
535 - needsQuantization: a toggle to indicate whether or not this model
536 requires quantized inputs
537
538 **NOTE**
539
540 - this can be used as an alternative to _Grow()_ if you already have
541 some models constructed
542
543 - the errList is run as an accumulator,
544 you probably want to call _AverageErrors_ after finishing the forest
545
546 """
547 if model in self.modelList:
548 try:
549 idx = self.modelList.index(model)
550 except ValueError:
551
552 self.modelList.append(model)
553 self.errList.append(error)
554 self.countList.append(1)
555 self.quantizationRequirements.append(needsQuantization)
556 else:
557 self.errList[idx] = self.errList[idx]+error
558 self.countList[idx] = self.countList[idx] + 1
559 else:
560 self.modelList.append(model)
561 self.errList.append(error)
562 self.countList.append(1)
563 self.quantizationRequirements.append(needsQuantization)
564
566 """ convert local summed error to average error
567
568 """
569 self.errList = map(lambda x,y:x/y,self.errList,self.countList)
570
572 """ sorts the list of models
573
574 **Arguments**
575
576 sortOnError: toggles sorting on the models' errors rather than their counts
577
578
579 """
580 if sortOnError:
581 order = numpy.argsort(self.errList)
582 else:
583 order = numpy.argsort(self.countList)
584
585
586
587 self.modelList = [self.modelList[x] for x in order]
588 self.countList = [self.countList[x] for x in order]
589 self.errList = [self.errList[x] for x in order]
590
591
593 """ returns a particular model
594
595 """
596 return self.modelList[i]
598 """ replaces a particular model
599
600 **Note**
601
602 This is included for the sake of completeness, but you need to be
603 *very* careful when you use it.
604
605 """
606 self.modelList[i] = val
607
609 """ returns the count of the _i_th model
610
611 """
612 return self.countList[i]
614 """ sets the count of the _i_th model
615
616 """
617 self.countList[i] = val
618
620 """ returns the error of the _i_th model
621
622 """
623 return self.errList[i]
625 """ sets the error of the _i_th model
626
627 """
628 self.errList[i] = val
629
631 """ returns all relevant data about a particular model
632
633 **Arguments**
634
635 i: an integer indicating which model should be returned
636
637 **Returns**
638
639 a 3-tuple consisting of:
640
641 1) the model
642
643 2) its count
644
645 3) its error
646 """
647 return (self.modelList[i],self.countList[i],self.errList[i])
649 """ sets all relevant data for a particular tree in the forest
650
651 **Arguments**
652
653 - i: an integer indicating which model should be returned
654
655 - tup: a 3-tuple consisting of:
656
657 1) the model
658
659 2) its count
660
661 3) its error
662
663 **Note**
664
665 This is included for the sake of completeness, but you need to be
666 *very* careful when you use it.
667
668 """
669 self.modelList[i],self.countList[i],self.errList[i] = tup
670
672 """ Returns everything we know
673
674 **Returns**
675
676 a 3-tuple consisting of:
677
678 1) our list of models
679
680 2) our list of model counts
681
682 3) our list of model errors
683
684 """
685 return (self.modelList,self.countList,self.errList)
686
688 """ allows len(composite) to work
689
690 """
691 return len(self.modelList)
692
694 """ allows composite[i] to work, returns the data tuple
695
696 """
697 return self.GetDataTuple(which)
698
700 """ returns a string representation of the composite
701
702 """
703 outStr= 'Composite\n'
704 for i in xrange(len(self.modelList)):
705 outStr = outStr + \
706 ' Model % 4d: % 5d occurances %%% 5.2f average error\n'%(i,self.countList[i],
707 100.*self.errList[i])
708 return outStr
709
710 if __name__ == '__main__':
711 if 0:
712 from ML.DecTree import DecTree
713 c = Composite()
714 n = DecTree.DecTreeNode(None,'foo')
715 c.AddModel(n,0.5)
716 c.AddModel(n,0.5)
717 c.AverageErrors()
718 c.SortModels()
719 print c
720
721 qB = [[],[.5,1,1.5]]
722 exs = [['foo',0],['foo',.4],['foo',.6],['foo',1.1],['foo',2.0]]
723 print 'quantBounds:',qB
724 for ex in exs:
725 q = c.QuantizeExample(ex,qB)
726 print ex,q
727 else:
728 pass
729