1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
|
#ifndef _SPARSE_VECTOR_H_
#define _SPARSE_VECTOR_H_
// this is a modified version of code originally written
// by Phil Blunsom
#include <iostream>
#include <map>
#include <tr1/unordered_map>
#include <vector>
#include <valarray>
#include "fdict.h"
template <typename T>
class SparseVector {
public:
typedef std::map<int, T> MapType;
typedef typename std::map<int, T>::const_iterator const_iterator;
SparseVector() {}
explicit SparseVector(std::vector<T> const& v) {
typename MapType::iterator p=values_.begin();
const T z=T(0);
for (unsigned i=0;i<v.size();++i) {
T const& t=v[i];
if (t!=z)
p=values_.insert(p,typename MapType::value_type(i,t)); //hint makes insertion faster
}
}
void set_new_value(int index, T const& val) {
assert(values_.find(index)==values_.end());
values_[index]=val;
}
const T operator[](int index) const {
typename MapType::const_iterator found = values_.find(index);
if (found == values_.end())
return T(0);
else
return found->second;
}
void set_value(int index, const T &value) {
values_[index] = value;
}
T add_value(int index, const T &value) {
return values_[index] += value;
}
T value(int index) const {
typename MapType::const_iterator found = values_.find(index);
if (found != values_.end())
return found->second;
else
return T(0);
}
void store(std::valarray<T>* target) const {
(*target) *= 0;
for (typename MapType::const_iterator
it = values_.begin(); it != values_.end(); ++it) {
if (it->first >= target->size()) break;
(*target)[it->first] = it->second;
}
}
int max_index() const {
if (empty()) return 0;
typename MapType::const_iterator found =values_.end();
--found;
return found->first;
}
// dot product with a unit vector of the same length
// as the sparse vector
T dot() const {
T sum = 0;
for (typename MapType::const_iterator
it = values_.begin(); it != values_.end(); ++it)
sum += it->second;
return sum;
}
template<typename S>
S cosine_sim(const SparseVector<S> &vec) const {
return dot(vec)/(l2norm()*vec.l2norm());
}
// if values are binary, gives |A intersect B|/|A union B|
template<typename S>
S tanimoto_coef(const SparseVector<S> &vec) const {
S dp=dot(vec);
return dp/(l2norm_sq()+vec.l2norm_sq()-dp);
}
template<typename S>
S dot(const SparseVector<S> &vec) const {
S sum = 0;
for (typename MapType::const_iterator
it = values_.begin(); it != values_.end(); ++it)
{
typename MapType::const_iterator
found = vec.values_.find(it->first);
if (found != vec.values_.end())
sum += it->second * found->second;
}
return sum;
}
template<typename S>
S dot(const std::vector<S> &vec) const {
S sum = 0;
for (typename MapType::const_iterator
it = values_.begin(); it != values_.end(); ++it)
{
if (it->first < static_cast<int>(vec.size()))
sum += it->second * vec[it->first];
}
return sum;
}
template<typename S>
S dot(const S *vec) const {
// this is not range checked!
S sum = 0;
for (typename MapType::const_iterator
it = values_.begin(); it != values_.end(); ++it)
sum += it->second * vec[it->first];
std::cout << "dot(*vec) " << sum << std::endl;
return sum;
}
T l1norm() const {
T sum = 0;
for (typename MapType::const_iterator
it = values_.begin(); it != values_.end(); ++it)
sum += fabs(it->second);
return sum;
}
T l2norm_sq() const {
T sum = 0;
for (typename MapType::const_iterator
it = values_.begin(); it != values_.end(); ++it)
sum += it->second * it->second;
return sum;
}
T l2norm() const {
return sqrt(l2norm_sq());
}
SparseVector<T> &operator+=(const SparseVector<T> &other) {
for (typename MapType::const_iterator
it = other.values_.begin(); it != other.values_.end(); ++it)
{
T v = (values_[it->first] += it->second);
if (v == T())
values_.erase(it->first);
}
return *this;
}
SparseVector<T> &operator-=(const SparseVector<T> &other) {
for (typename MapType::const_iterator
it = other.values_.begin(); it != other.values_.end(); ++it)
{
T v = (values_[it->first] -= it->second);
if (v == T(0))
values_.erase(it->first);
}
return *this;
}
SparseVector<T> &operator-=(T const& x) {
for (typename MapType::iterator
it = values_.begin(); it != values_.end(); ++it)
it->second -= x;
return *this;
}
SparseVector<T> &operator+=(T const& x) {
for (typename MapType::iterator
it = values_.begin(); it != values_.end(); ++it)
it->second += x;
return *this;
}
SparseVector<T> &operator/=(const T &x) {
for (typename MapType::iterator
it = values_.begin(); it != values_.end(); ++it)
it->second /= x;
return *this;
}
SparseVector<T> &operator*=(const T& x) {
for (typename MapType::iterator
it = values_.begin(); it != values_.end(); ++it)
it->second *= x;
return *this;
}
SparseVector<T> operator+(T const& x) const {
SparseVector<T> result = *this;
return result += x;
}
SparseVector<T> operator-(T const& x) const {
SparseVector<T> result = *this;
return result -= x;
}
SparseVector<T> operator/(T const& x) const {
SparseVector<T> result = *this;
return result /= x;
}
std::ostream &operator<<(std::ostream& out) const {
Write(true, &out);
return out;
}
void Write(const bool with_semi, std::ostream* os) const {
bool first = true;
for (typename MapType::const_iterator
it = values_.begin(); it != values_.end(); ++it) {
// by definition feature id 0 is a dummy value
if (it->first == 0) continue;
if (with_semi) {
(*os) << (first ? "" : ";")
<< FD::Convert(it->first) << '=' << it->second;
} else {
(*os) << (first ? "" : " ")
<< FD::Convert(it->first) << '=' << it->second;
}
first = false;
}
}
bool operator<(const SparseVector<T> &other) const {
typename MapType::const_iterator it = values_.begin();
typename MapType::const_iterator other_it = other.values_.begin();
for (; it != values_.end() && other_it != other.values_.end(); ++it, ++other_it)
{
if (it->first < other_it->first) return true;
if (it->first > other_it->first) return false;
if (it->second < other_it->second) return true;
if (it->second > other_it->second) return false;
}
return values_.size() < other.values_.size();
}
int num_active() const { return values_.size(); }
bool empty() const { return values_.empty(); }
const_iterator begin() const { return values_.begin(); }
const_iterator end() const { return values_.end(); }
void clear() {
values_.clear();
}
void clear_value(int index) {
values_.erase(index);
}
void swap(SparseVector<T>& other) {
values_.swap(other.values_);
}
private:
MapType values_;
};
// doesn't support fast indexing directly
template <class T>
class SparseVectorList {
typedef std::vector<const int,T> ListType;
typedef typename ListType::value_type pair_type;
typedef typename ListType::const_iterator const_iterator;
SparseVectorList() { }
explicit SparseVectorList(std::vector<T> const& v) {
const T z=T(0);
for (unsigned i=0;i<v.size();++i) {
T const& t=v[i];
if (t!=z)
p.push_back(pair_type(i,t));
}
p.resize(p.size());
}
private:
ListType p;
};
typedef SparseVector<double> FeatureVector;
typedef SparseVector<double> WeightVector;
template <typename T>
SparseVector<T> operator+(const SparseVector<T>& a, const SparseVector<T>& b) {
SparseVector<T> result = a;
return result += b;
}
template <typename T>
SparseVector<T> operator*(const SparseVector<T>& a, const double& b) {
SparseVector<T> result = a;
return result *= b;
}
template <typename T>
SparseVector<T> operator*(const SparseVector<T>& a, const T& b) {
SparseVector<T> result = a;
return result *= b;
}
template <typename T>
SparseVector<T> operator*(const double& a, const SparseVector<T>& b) {
SparseVector<T> result = b;
return result *= a;
}
template <typename T>
std::ostream &operator<<(std::ostream &out, const SparseVector<T> &vec)
{
return vec.operator<<(out);
}
namespace B64 {
void Encode(double objective, const SparseVector<double>& v, std::ostream* out);
// returns false if failed to decode
bool Decode(double* objective, SparseVector<double>* v, const char* data, size_t size);
}
#endif
|