eval stuff for creg, test data from ark regression

7 files changed, 856 insertions, 10 deletions

diff --git a/creg/README b/creg/README
index 2c04c83b..28a71d11 100644
--- a/creg/README
+++ b/creg/README
@@ -1,7 +1,17 @@
 creg is a fast tool for training linear and logistic regression models with
-l_1 and l_2 regularization. Its data (feature and response) format is compatible
-with ARKRegression.
+l_1 and l_2 regularization. Its data (feature and response) format is
+compatible with ARKRegression.
 
-Example invokation:
-$ ./creg -x test_data/iris.trainfeat -y test_data/iris.trainresp --l2 100
+EXAMPLES
+
+Logistic regression example (training only):
+  $ ./creg -x test_data/iris.trainfeat -y test_data/iris.trainresp --l1 1.0 > weights.txt
+
+Logistic regression example (training and testing):
+  $ ./creg -x test_data/iris.trainfeat -y test_data/iris.trainresp --l1 1.0 \
+        -t test_data/iris.testfeat -s test_data/iris.testresp > weights.txt
+
+Linear regression example (training and testing):
+  $ ./creg -n -x test_data/auto-mpg.trainfeat -y test_data/auto-mpg.trainresp --l2 1000 \
+        -t test_data/auto-mpg.testfeat -s test_data/auto-mpg.testresp > weights.txt
 
diff --git a/creg/creg.cc b/creg/creg.cc
index 43f01bc4..005ec9ac 100644
--- a/creg/creg.cc
+++ b/creg/creg.cc
@@ -2,6 +2,8 @@
 #include <iostream>
 #include <vector>
 #include <tr1/unordered_map>
+#include <limits>
+#include <cmath>
 
 #include <boost/program_options.hpp>
 #include <boost/program_options/variables_map.hpp>
@@ -25,6 +27,8 @@ void InitCommandLine(int argc, char** argv, po::variables_map* conf) {
         ("linear,n", "Linear (rather than logistic) regression")
         ("l1",po::value<double>()->default_value(0.0), "l_1 regularization strength")
         ("l2",po::value<double>()->default_value(0.0), "l_2 regularization strength")
+        ("test_features,t", po::value<string>(), "File containing training instance features (ARKRegression format)")
+        ("test_responses,s", po::value<string>(), "File containing training response features (ARKRegression format)")
         ("weights,w", po::value<string>(), "Initial weights")
         ("epsilon,e", po::value<double>()->default_value(1e-4), "Epsilon for convergence test. Terminates when ||g|| < epsilon * max(1, ||w||)")
         ("memory_buffers,m",po::value<unsigned>()->default_value(40), "Number of memory buffers for LBFGS")
@@ -77,7 +81,7 @@ void ReadLabeledInstances(const string& ffeats,
   int lc = 0;
   ReaderHelper rh(xy_pairs);
   unordered_map<string, unsigned> label2id;
-  cerr << "Reading training responses from " << fresp << " ..." << endl;
+  cerr << "Reading responses from " << fresp << " ..." << endl;
   ReadFile fr(fresp);
   for (unsigned i = 0; i < labels->size(); ++i)
     label2id[(*labels)[i]] = i;
@@ -116,7 +120,7 @@ void ReadLabeledInstances(const string& ffeats,
       cerr << " " << (*labels)[j];
     cerr << endl;
   }
-  cerr << "Reading training features from " << ffeats << " ..." << endl;
+  cerr << "Reading features from " << ffeats << " ..." << endl;
   ReadFile ff(ffeats);
   JSONFeatureMapLexer::ReadRules(ff.stream(), ReaderCB, &rh);
   if (rh.flag) cerr << endl;
@@ -204,6 +208,23 @@ struct UnivariateSquaredLoss : public BaseLoss {
     double reg = ApplyRegularizationTerms(x, g);
     return cll + reg;
   }
+
+  // return root mse
+  double Evaluate(const vector<TrainingInstance>& test,
+                  const vector<double>& w) const {
+    vector<double> dotprods(1);  // K-1 degrees of freedom
+    double mse = 0;
+    for (unsigned i = 0; i < test.size(); ++i) {
+      const SparseVector<float>& fmapx = test[i].x;
+      const float refy = test[i].y.value;
+      ComputeDotProducts(fmapx, w, &dotprods);
+      double diff = dotprods[0] - refy;
+      cerr << "line=" << (i+1) << " true=" << refy << " pred=" << dotprods[0] << endl;
+      mse += diff * diff;
+    }
+    mse /= test.size();
+    return sqrt(mse);
+  }
 };
 
 struct MulticlassLogLoss : public BaseLoss {
@@ -243,6 +264,23 @@ struct MulticlassLogLoss : public BaseLoss {
     double reg = ApplyRegularizationTerms(x, g);
     return cll + reg;
   }
+
+  double Evaluate(const vector<TrainingInstance>& test,
+                  const vector<double>& w) const {
+    vector<double> dotprods(K - 1);  // K-1 degrees of freedom
+    double correct = 0;
+    for (unsigned i = 0; i < test.size(); ++i) {
+      const SparseVector<float>& fmapx = test[i].x;
+      const unsigned refy = test[i].y.label;
+      ComputeDotProducts(fmapx, w, &dotprods);
+      double best = 0;
+      unsigned besty = dotprods.size();
+      for (unsigned y = 0; y < dotprods.size(); ++y)
+        if (dotprods[y] > best) { best = dotprods[y]; besty = y; }
+      if (refy == besty) { ++correct; }
+    }
+    return correct / test.size();
+  }
 };
 
 template <class LossFunction>
@@ -261,9 +299,6 @@ int main(int argc, char** argv) {
   po::variables_map conf;
   InitCommandLine(argc, argv, &conf);
   string line;
-  vector<TrainingInstance> training;
-  const string xfile = conf["training_features"].as<string>();
-  const string yfile = conf["training_responses"].as<string>();
   double l1 = conf["l1"].as<double>();
   double l2 = conf["l2"].as<double>();
   const unsigned memory_buffers = conf["memory_buffers"].as<unsigned>();
@@ -278,8 +313,16 @@ int main(int argc, char** argv) {
   }
 
   const bool is_continuous = conf.count("linear");
+  const string xfile = conf["training_features"].as<string>();
+  const string yfile = conf["training_responses"].as<string>();
   vector<string> labels; // only populated for non-continuous models
+  vector<TrainingInstance> training, test;
   ReadLabeledInstances(xfile, yfile, is_continuous, &training, &labels);
+  if (conf.count("test_features")) {
+    const string txfile = conf["test_features"].as<string>();
+    const string tyfile = conf["test_responses"].as<string>();
+    ReadLabeledInstances(txfile, tyfile, is_continuous, &test, &labels);
+  }
 
   if (conf.count("weights")) {
     cerr << "Initial weights are not implemented, please implement." << endl;
@@ -298,6 +341,10 @@ int main(int argc, char** argv) {
     cerr << "       Number of parameters: " << weights.size() << endl;
     UnivariateSquaredLoss loss(training, p, l2);
     LearnParameters(loss, l1, 1, memory_buffers, epsilon, &weights);
+
+    if (test.size())
+      cerr << "Held-out root MSE: " << loss.Evaluate(test, weights) << endl;
+
     cout << p << "\t***CONTINUOUS***" << endl;
     cout << "***BIAS***\t" << weights[0] << endl;
     for (unsigned f = 0; f < p; ++f) {
@@ -314,6 +361,9 @@ int main(int argc, char** argv) {
     MulticlassLogLoss loss(training, K, p, l2);
     LearnParameters(loss, l1, km1, memory_buffers, epsilon, &weights);
 
+    if (test.size())
+      cerr << "Held-out accuracy: " << loss.Evaluate(test, weights) << endl;
+
     cout << p << "\t***CATEGORICAL***";
     for (unsigned y = 0; y < K; ++y)
       cout << '\t' << labels[y];
diff --git a/creg/json_feature_map_lexer.ll b/creg/json_feature_map_lexer.ll
index 372b52f5..cbb6d9a9 100644
--- a/creg/json_feature_map_lexer.ll
+++ b/creg/json_feature_map_lexer.ll
@@ -61,7 +61,7 @@ inline unsigned unicode_escape_to_utf8(uint16_t w1, uint16_t w2, char* putf8) {
 
 %}
 
-ID [A-Za-z_0-9]+
+ID [^ \t\n\r]+
 HEX_D [a-fA-F0-9]
 INT [-]?[0-9]+
 DOUBLE {INT}((\.[0-9]+)?([eE][-+]?[0-9]+)?)
diff --git a/creg/test_data/auto-mpg.testfeat b/creg/test_data/auto-mpg.testfeat
new file mode 100644
index 00000000..91c21e99
--- /dev/null
+++ b/creg/test_data/auto-mpg.testfeat
@@ -0,0 +1,93 @@
+test1_fiat_124b	{"horsepower": 76.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 88.0, "weight": 2065.0}
+test2_dodge_aspen	{"horsepower": 110.0, "acceleration": 18.7, "cylinders": 6.0, "displacement": 225.0, "weight": 3620.0}
+test3_toyota_celica_gt_liftback	{"horsepower": 95.0, "acceleration": 14.8, "cylinders": 4.0, "displacement": 134.0, "weight": 2515.0}
+test4_amc_matador	{"horsepower": 110.0, "acceleration": 18.0, "cylinders": 6.0, "displacement": 258.0, "weight": 3632.0}
+test5_audi_5000s_(diesel)	{"horsepower": 67.0, "acceleration": 19.9, "cylinders": 5.0, "displacement": 121.0, "weight": 2950.0}
+test6_datsun_310	{"horsepower": 65.0, "acceleration": 16.4, "cylinders": 4.0, "displacement": 86.0, "weight": 2019.0}
+test7_chevrolet_woody	{"horsepower": 60.0, "acceleration": 22.1, "cylinders": 4.0, "displacement": 98.0, "weight": 2164.0}
+test8_volkswagen_1131_deluxe_sedan	{"horsepower": 46.0, "acceleration": 20.5, "cylinders": 4.0, "displacement": 97.0, "weight": 1835.0}
+test9_plymouth_satellite_sebring	{"horsepower": 105.0, "acceleration": 16.5, "cylinders": 6.0, "displacement": 225.0, "weight": 3613.0}
+test10_amc_matador	{"horsepower": 120.0, "acceleration": 13.9, "cylinders": 8.0, "displacement": 304.0, "weight": 3962.0}
+test11_chevrolet_chevette	{"horsepower": 52.0, "acceleration": 22.2, "cylinders": 4.0, "displacement": 85.0, "weight": 2035.0}
+test12_buick_century_special	{"horsepower": 105.0, "acceleration": 15.8, "cylinders": 6.0, "displacement": 231.0, "weight": 3380.0}
+test13_ford_escort_2h	{"horsepower": 65.0, "acceleration": 20.7, "cylinders": 4.0, "displacement": 98.0, "weight": 2380.0}
+test14_ford_torino_500	{"horsepower": 88.0, "acceleration": 15.5, "cylinders": 6.0, "displacement": 250.0, "weight": 3302.0}
+test15_dodge_aries_wagon_(sw)	{"horsepower": 92.0, "acceleration": 14.4, "cylinders": 4.0, "displacement": 156.0, "weight": 2620.0}
+test16_plymouth_valiant	{"horsepower": 105.0, "acceleration": 16.5, "cylinders": 6.0, "displacement": 225.0, "weight": 3121.0}
+test17_amc_pacer	{"horsepower": 90.0, "acceleration": 17.0, "cylinders": 6.0, "displacement": 232.0, "weight": 3211.0}
+test18_honda_civic	{"horsepower": 97.0, "acceleration": 15.0, "cylinders": 4.0, "displacement": 120.0, "weight": 2489.0}
+test19_ford_ltd	{"horsepower": 148.0, "acceleration": 13.5, "cylinders": 8.0, "displacement": 351.0, "weight": 4657.0}
+test20_volkswagen_rabbit	{"horsepower": 70.0, "acceleration": 14.0, "cylinders": 4.0, "displacement": 90.0, "weight": 1937.0}
+test21_honda_civic_1500_gl	{"horsepower": 67.0, "acceleration": 13.8, "cylinders": 4.0, "displacement": 91.0, "weight": 1850.0}
+test22_chevrolet_impala	{"horsepower": 165.0, "acceleration": 12.0, "cylinders": 8.0, "displacement": 350.0, "weight": 4209.0}
+test23_chevrolet_chevette	{"horsepower": 63.0, "acceleration": 17.0, "cylinders": 4.0, "displacement": 98.0, "weight": 2051.0}
+test24_amc_concord	{"horsepower": 90.0, "acceleration": 17.2, "cylinders": 6.0, "displacement": 232.0, "weight": 3210.0}
+test25_ford_pinto	{"horsepower": 83.0, "acceleration": 17.0, "cylinders": 4.0, "displacement": 140.0, "weight": 2639.0}
+test26_ford_country_squire_(sw)	{"horsepower": 142.0, "acceleration": 14.3, "cylinders": 8.0, "displacement": 351.0, "weight": 4054.0}
+test27_plymouth_valiant_custom	{"horsepower": 95.0, "acceleration": 16.0, "cylinders": 6.0, "displacement": 225.0, "weight": 3264.0}
+test28_chevy_s-10	{"horsepower": 82.0, "acceleration": 19.4, "cylinders": 4.0, "displacement": 119.0, "weight": 2720.0}
+test29_maxda_rx3	{"horsepower": 90.0, "acceleration": 13.5, "cylinders": 3.0, "displacement": 70.0, "weight": 2124.0}
+test30_plymouth_sapporo	{"horsepower": 105.0, "acceleration": 16.7, "cylinders": 4.0, "displacement": 156.0, "weight": 2745.0}
+test31_amc_hornet	{"horsepower": 90.0, "acceleration": 17.6, "cylinders": 6.0, "displacement": 232.0, "weight": 3085.0}
+test32_chevrolet_caprice_classic	{"horsepower": 145.0, "acceleration": 12.5, "cylinders": 8.0, "displacement": 305.0, "weight": 3880.0}
+test33_pontiac_sunbird_coupe	{"horsepower": 88.0, "acceleration": 16.0, "cylinders": 4.0, "displacement": 151.0, "weight": 2740.0}
+test34_mercury_marquis_brougham	{"horsepower": 198.0, "acceleration": 11.5, "cylinders": 8.0, "displacement": 429.0, "weight": 4952.0}
+test35_mercury_monarch_ghia	{"horsepower": 139.0, "acceleration": 12.8, "cylinders": 8.0, "displacement": 302.0, "weight": 3570.0}
+test36_ford_country_squire_(sw)	{"horsepower": 170.0, "acceleration": 12.0, "cylinders": 8.0, "displacement": 400.0, "weight": 4746.0}
+test37_audi_fox	{"horsepower": 83.0, "acceleration": 16.5, "cylinders": 4.0, "displacement": 98.0, "weight": 2219.0}
+test38_triumph_tr7_coupe	{"horsepower": 88.0, "acceleration": 15.1, "cylinders": 4.0, "displacement": 122.0, "weight": 2500.0}
+test39_dodge_d100	{"horsepower": 150.0, "acceleration": 14.0, "cylinders": 8.0, "displacement": 318.0, "weight": 3755.0}
+test40_mercury_cougar_brougham	{"horsepower": 130.0, "acceleration": 14.9, "cylinders": 8.0, "displacement": 302.0, "weight": 4295.0}
+test41_pontiac_phoenix_lj	{"horsepower": 105.0, "acceleration": 19.2, "cylinders": 6.0, "displacement": 231.0, "weight": 3535.0}
+test42_vw_rabbit_custom	{"horsepower": 71.0, "acceleration": 14.0, "cylinders": 4.0, "displacement": 89.0, "weight": 1925.0}
+test43_peugeot_504	{"horsepower": 87.0, "acceleration": 17.5, "cylinders": 4.0, "displacement": 110.0, "weight": 2672.0}
+test44_datsun_310_gx	{"horsepower": 67.0, "acceleration": 16.2, "cylinders": 4.0, "displacement": 91.0, "weight": 1995.0}
+test45_dodge_monaco_(sw)	{"horsepower": 180.0, "acceleration": 11.5, "cylinders": 8.0, "displacement": 383.0, "weight": 4955.0}
+test46_chevrolet_monza_2+2	{"horsepower": 110.0, "acceleration": 13.5, "cylinders": 8.0, "displacement": 262.0, "weight": 3221.0}
+test47_capri_ii	{"horsepower": 92.0, "acceleration": 14.9, "cylinders": 4.0, "displacement": 140.0, "weight": 2572.0}
+test48_mazda_rx2_coupe	{"horsepower": 97.0, "acceleration": 13.5, "cylinders": 3.0, "displacement": 70.0, "weight": 2330.0}
+test49_plymouth_fury	{"horsepower": 95.0, "acceleration": 19.0, "cylinders": 6.0, "displacement": 225.0, "weight": 3785.0}
+test50_plymouth_fury_iii	{"horsepower": 215.0, "acceleration": 8.5, "cylinders": 8.0, "displacement": 440.0, "weight": 4312.0}
+test51_dodge_st._regis	{"horsepower": 135.0, "acceleration": 15.2, "cylinders": 8.0, "displacement": 318.0, "weight": 3830.0}
+test52_amc_spirit_dl	{"horsepower": 80.0, "acceleration": 15.0, "cylinders": 4.0, "displacement": 121.0, "weight": 2670.0}
+test53_peugeot_504_(sw)	{"horsepower": 87.0, "acceleration": 19.5, "cylinders": 4.0, "displacement": 120.0, "weight": 2979.0}
+test54_chevroelt_chevelle_malibu	{"horsepower": 105.0, "acceleration": 18.5, "cylinders": 6.0, "displacement": 250.0, "weight": 3897.0}
+test55_opel_1900	{"horsepower": 90.0, "acceleration": 14.0, "cylinders": 4.0, "displacement": 116.0, "weight": 2123.0}
+test56_dodge_challenger_se	{"horsepower": 170.0, "acceleration": 10.0, "cylinders": 8.0, "displacement": 383.0, "weight": 3563.0}
+test57_vw_pickup	{"horsepower": 52.0, "acceleration": 24.6, "cylinders": 4.0, "displacement": 97.0, "weight": 2130.0}
+test58_peugeot_604sl	{"horsepower": 133.0, "acceleration": 15.8, "cylinders": 6.0, "displacement": 163.0, "weight": 3410.0}
+test59_mazda_glc_4	{"horsepower": 68.0, "acceleration": 16.0, "cylinders": 4.0, "displacement": 91.0, "weight": 1985.0}
+test60_audi_4000	{"horsepower": 78.0, "acceleration": 15.8, "cylinders": 4.0, "displacement": 97.0, "weight": 2188.0}
+test61_plymouth_duster	{"horsepower": 95.0, "acceleration": 16.5, "cylinders": 6.0, "displacement": 198.0, "weight": 3102.0}
+test62_dodge_magnum_xe	{"horsepower": 140.0, "acceleration": 13.7, "cylinders": 8.0, "displacement": 318.0, "weight": 4080.0}
+test63_buick_century_limited	{"horsepower": 110.0, "acceleration": 16.4, "cylinders": 6.0, "displacement": 181.0, "weight": 2945.0}
+test64_chevrolet_monte_carlo_s	{"horsepower": 145.0, "acceleration": 13.0, "cylinders": 8.0, "displacement": 350.0, "weight": 4082.0}
+test65_amc_matador	{"horsepower": 150.0, "acceleration": 11.5, "cylinders": 8.0, "displacement": 304.0, "weight": 3672.0}
+test66_honda_accord	{"horsepower": 75.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 107.0, "weight": 2205.0}
+test67_plymouth_volare	{"horsepower": 100.0, "acceleration": 17.2, "cylinders": 6.0, "displacement": 225.0, "weight": 3430.0}
+test68_ford_galaxie_500	{"horsepower": 198.0, "acceleration": 10.0, "cylinders": 8.0, "displacement": 429.0, "weight": 4341.0}
+test69_chevrolet_citation	{"horsepower": 110.0, "acceleration": 12.6, "cylinders": 6.0, "displacement": 173.0, "weight": 2725.0}
+test70_amc_ambassador_sst	{"horsepower": 150.0, "acceleration": 11.5, "cylinders": 8.0, "displacement": 304.0, "weight": 3672.0}
+test71_ford_thunderbird	{"horsepower": 149.0, "acceleration": 14.5, "cylinders": 8.0, "displacement": 351.0, "weight": 4335.0}
+test72_pontiac_phoenix	{"horsepower": 90.0, "acceleration": 13.2, "cylinders": 4.0, "displacement": 151.0, "weight": 2556.0}
+test73_vw_rabbit	{"horsepower": 76.0, "acceleration": 14.7, "cylinders": 4.0, "displacement": 98.0, "weight": 2144.0}
+test74_bmw_2002	{"horsepower": 113.0, "acceleration": 12.5, "cylinders": 4.0, "displacement": 121.0, "weight": 2234.0}
+test75_dodge_colt	{"horsepower": 105.0, "acceleration": 14.4, "cylinders": 4.0, "displacement": 156.0, "weight": 2800.0}
+test76_mercury_capri_2000	{"horsepower": 86.0, "acceleration": 14.0, "cylinders": 4.0, "displacement": 122.0, "weight": 2220.0}
+test77_ford_galaxie_500	{"horsepower": 153.0, "acceleration": 13.5, "cylinders": 8.0, "displacement": 351.0, "weight": 4154.0}
+test78_volkswagen_rabbit_custom_diesel	{"horsepower": 48.0, "acceleration": 21.5, "cylinders": 4.0, "displacement": 90.0, "weight": 1985.0}
+test79_dodge_aspen_se	{"horsepower": 100.0, "acceleration": 17.7, "cylinders": 6.0, "displacement": 225.0, "weight": 3651.0}
+test80_mazda_glc_deluxe	{"horsepower": 52.0, "acceleration": 19.4, "cylinders": 4.0, "displacement": 78.0, "weight": 1985.0}
+test81_mazda_glc_custom	{"horsepower": 68.0, "acceleration": 17.6, "cylinders": 4.0, "displacement": 91.0, "weight": 1970.0}
+test82_audi_100ls	{"horsepower": 91.0, "acceleration": 14.0, "cylinders": 4.0, "displacement": 114.0, "weight": 2582.0}
+test83_oldsmobile_delta_88_royale	{"horsepower": 160.0, "acceleration": 13.5, "cylinders": 8.0, "displacement": 350.0, "weight": 4456.0}
+test84_ford_gran_torino	{"horsepower": 137.0, "acceleration": 14.5, "cylinders": 8.0, "displacement": 302.0, "weight": 4042.0}
+test85_plymouth_cricket	{"horsepower": 70.0, "acceleration": 20.5, "cylinders": 4.0, "displacement": 91.0, "weight": 1955.0}
+test86_plymouth_fury_iii	{"horsepower": 150.0, "acceleration": 13.0, "cylinders": 8.0, "displacement": 318.0, "weight": 4096.0}
+test87_plymouth_horizon	{"horsepower": 70.0, "acceleration": 13.2, "cylinders": 4.0, "displacement": 105.0, "weight": 2200.0}
+test88_peugeot_504	{"horsepower": 88.0, "acceleration": 21.9, "cylinders": 4.0, "displacement": 120.0, "weight": 3270.0}
+test89_dodge_dart_custom	{"horsepower": 150.0, "acceleration": 11.0, "cylinders": 8.0, "displacement": 318.0, "weight": 3399.0}
+test90_pontiac_j2000_se_hatchback	{"horsepower": 85.0, "acceleration": 16.2, "cylinders": 4.0, "displacement": 112.0, "weight": 2575.0}
+test91_toyota_starlet	{"horsepower": 58.0, "acceleration": 16.9, "cylinders": 4.0, "displacement": 79.0, "weight": 1755.0}
+test92_mazda_glc_custom_l	{"horsepower": 68.0, "acceleration": 18.2, "cylinders": 4.0, "displacement": 91.0, "weight": 2025.0}
+test93_fiat_124_tc	{"horsepower": 75.0, "acceleration": 14.0, "cylinders": 4.0, "displacement": 116.0, "weight": 2246.0}
diff --git a/creg/test_data/auto-mpg.testresp b/creg/test_data/auto-mpg.testresp
new file mode 100644
index 00000000..4f2cad37
--- /dev/null
+++ b/creg/test_data/auto-mpg.testresp
@@ -0,0 +1,93 @@
+test1_fiat_124b	30.0
+test2_dodge_aspen	18.6
+test3_toyota_celica_gt_liftback	21.1
+test4_amc_matador	16.0
+test5_audi_5000s_(diesel)	36.4
+test6_datsun_310	37.2
+test7_chevrolet_woody	24.5
+test8_volkswagen_1131_deluxe_sedan	26.0
+test9_plymouth_satellite_sebring	18.0
+test10_amc_matador	15.5
+test11_chevrolet_chevette	29.0
+test12_buick_century_special	20.6
+test13_ford_escort_2h	29.9
+test14_ford_torino_500	19.0
+test15_dodge_aries_wagon_(sw)	25.8
+test16_plymouth_valiant	18.0
+test17_amc_pacer	19.0
+test18_honda_civic	24.0
+test19_ford_ltd	14.0
+test20_volkswagen_rabbit	29.0
+test21_honda_civic_1500_gl	44.6
+test22_chevrolet_impala	14.0
+test23_chevrolet_chevette	30.5
+test24_amc_concord	19.4
+test25_ford_pinto	23.0
+test26_ford_country_squire_(sw)	15.5
+test27_plymouth_valiant_custom	19.0
+test28_chevy_s-10	31.0
+test29_maxda_rx3	18.0
+test30_plymouth_sapporo	23.2
+test31_amc_hornet	22.5
+test32_chevrolet_caprice_classic	17.5
+test33_pontiac_sunbird_coupe	24.5
+test34_mercury_marquis_brougham	12.0
+test35_mercury_monarch_ghia	20.2
+test36_ford_country_squire_(sw)	13.0
+test37_audi_fox	29.0
+test38_triumph_tr7_coupe	35.0
+test39_dodge_d100	13.0
+test40_mercury_cougar_brougham	15.0
+test41_pontiac_phoenix_lj	19.2
+test42_vw_rabbit_custom	31.9
+test43_peugeot_504	25.0
+test44_datsun_310_gx	38.0
+test45_dodge_monaco_(sw)	12.0
+test46_chevrolet_monza_2+2	20.0
+test47_capri_ii	25.0
+test48_mazda_rx2_coupe	19.0
+test49_plymouth_fury	18.0
+test50_plymouth_fury_iii	14.0
+test51_dodge_st._regis	18.2
+test52_amc_spirit_dl	27.4
+test53_peugeot_504_(sw)	21.0
+test54_chevroelt_chevelle_malibu	16.0
+test55_opel_1900	28.0
+test56_dodge_challenger_se	15.0
+test57_vw_pickup	44.0
+test58_peugeot_604sl	16.2
+test59_mazda_glc_4	34.1
+test60_audi_4000	34.3
+test61_plymouth_duster	20.0
+test62_dodge_magnum_xe	17.5
+test63_buick_century_limited	25.0
+test64_chevrolet_monte_carlo_s	15.0
+test65_amc_matador	14.0
+test66_honda_accord	36.0
+test67_plymouth_volare	20.5
+test68_ford_galaxie_500	15.0
+test69_chevrolet_citation	23.5
+test70_amc_ambassador_sst	17.0
+test71_ford_thunderbird	16.0
+test72_pontiac_phoenix	33.5
+test73_vw_rabbit	41.5
+test74_bmw_2002	26.0
+test75_dodge_colt	27.9
+test76_mercury_capri_2000	23.0
+test77_ford_galaxie_500	14.0
+test78_volkswagen_rabbit_custom_diesel	43.1
+test79_dodge_aspen_se	20.0
+test80_mazda_glc_deluxe	32.8
+test81_mazda_glc_custom	31.0
+test82_audi_100ls	20.0
+test83_oldsmobile_delta_88_royale	12.0
+test84_ford_gran_torino	14.0
+test85_plymouth_cricket	26.0
+test86_plymouth_fury_iii	14.0
+test87_plymouth_horizon	34.2
+test88_peugeot_504	19.0
+test89_dodge_dart_custom	15.0
+test90_pontiac_j2000_se_hatchback	31.0
+test91_toyota_starlet	39.1
+test92_mazda_glc_custom_l	37.0
+test93_fiat_124_tc	26.0
diff --git a/creg/test_data/auto-mpg.trainfeat b/creg/test_data/auto-mpg.trainfeat
new file mode 100644
index 00000000..20b87d3f
--- /dev/null
+++ b/creg/test_data/auto-mpg.trainfeat
@@ -0,0 +1,300 @@
+train1_buick_century_350	{"horsepower": 175.0, "acceleration": 13.0, "cylinders": 8.0, "displacement": 350.0, "weight": 4100.0}
+train2_audi_100_ls	{"horsepower": 90.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 107.0, "weight": 2430.0}
+train3_chrysler_newport_royal	{"horsepower": 190.0, "acceleration": 12.5, "cylinders": 8.0, "displacement": 400.0, "weight": 4422.0}
+train4_mercury_zephyr_6	{"horsepower": 85.0, "acceleration": 18.2, "cylinders": 6.0, "displacement": 200.0, "weight": 2990.0}
+train5_volkswagen_model_111	{"horsepower": 60.0, "acceleration": 19.0, "cylinders": 4.0, "displacement": 97.0, "weight": 1834.0}
+train6_dodge_monaco_brougham	{"horsepower": 145.0, "acceleration": 13.7, "cylinders": 8.0, "displacement": 318.0, "weight": 4140.0}
+train7_mercedes-benz_240d	{"horsepower": 67.0, "acceleration": 21.8, "cylinders": 4.0, "displacement": 146.0, "weight": 3250.0}
+train8_datsun_510_(sw)	{"horsepower": 92.0, "acceleration": 17.0, "cylinders": 4.0, "displacement": 97.0, "weight": 2288.0}
+train9_opel_manta	{"horsepower": 75.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 116.0, "weight": 2158.0}
+train10_renault_12_(sw)	{"horsepower": 69.0, "acceleration": 18.0, "cylinders": 4.0, "displacement": 96.0, "weight": 2189.0}
+train11_chevrolet_nova	{"horsepower": 100.0, "acceleration": 17.0, "cylinders": 6.0, "displacement": 250.0, "weight": 3336.0}
+train12_plymouth_arrow_gs	{"horsepower": 96.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 122.0, "weight": 2300.0}
+train13_toyota_mark_ii	{"horsepower": 108.0, "acceleration": 15.5, "cylinders": 6.0, "displacement": 156.0, "weight": 2930.0}
+train14_chevrolet_caprice_classic	{"horsepower": 150.0, "acceleration": 12.0, "cylinders": 8.0, "displacement": 400.0, "weight": 4464.0}
+train15_ford_maverick	{"horsepower": 88.0, "acceleration": 16.5, "cylinders": 6.0, "displacement": 250.0, "weight": 3021.0}
+train16_pontiac_lemans_v6	{"horsepower": 115.0, "acceleration": 15.4, "cylinders": 6.0, "displacement": 231.0, "weight": 3245.0}
+train17_ford_granada_gl	{"horsepower": 88.0, "acceleration": 17.1, "cylinders": 6.0, "displacement": 200.0, "weight": 3060.0}
+train18_chevrolet_monte_carlo_landau	{"horsepower": 170.0, "acceleration": 11.4, "cylinders": 8.0, "displacement": 350.0, "weight": 4165.0}
+train19_subaru	{"horsepower": 93.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 108.0, "weight": 2391.0}
+train20_volkswagen_411_(sw)	{"horsepower": 76.0, "acceleration": 18.0, "cylinders": 4.0, "displacement": 121.0, "weight": 2511.0}
+train21_chrysler_lebaron_salon	{"horsepower": 85.0, "acceleration": 16.6, "cylinders": 6.0, "displacement": 225.0, "weight": 3465.0}
+train22_volkswagen_jetta	{"horsepower": 74.0, "acceleration": 14.2, "cylinders": 4.0, "displacement": 105.0, "weight": 2190.0}
+train23_dodge_coronet_brougham	{"horsepower": 150.0, "acceleration": 13.0, "cylinders": 8.0, "displacement": 318.0, "weight": 4190.0}
+train24_pontiac_safari_(sw)	{"horsepower": 175.0, "acceleration": 12.0, "cylinders": 8.0, "displacement": 400.0, "weight": 5140.0}
+train25_mazda_rx-7_gs	{"horsepower": 100.0, "acceleration": 12.5, "cylinders": 3.0, "displacement": 70.0, "weight": 2420.0}
+train26_datsun_210	{"horsepower": 65.0, "acceleration": 19.2, "cylinders": 4.0, "displacement": 85.0, "weight": 2110.0}
+train27_vw_rabbit_c_(diesel)	{"horsepower": 48.0, "acceleration": 21.7, "cylinders": 4.0, "displacement": 90.0, "weight": 2085.0}
+train28_nissan_stanza_xe	{"horsepower": 88.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 120.0, "weight": 2160.0}
+train29_audi_5000	{"horsepower": 103.0, "acceleration": 15.9, "cylinders": 5.0, "displacement": 131.0, "weight": 2830.0}
+train30_chevrolet_malibu	{"horsepower": 145.0, "acceleration": 13.0, "cylinders": 8.0, "displacement": 350.0, "weight": 3988.0}
+train31_mercury_capri_v6	{"horsepower": 107.0, "acceleration": 14.0, "cylinders": 6.0, "displacement": 155.0, "weight": 2472.0}
+train32_datsun_b210_gx	{"horsepower": 70.0, "acceleration": 18.6, "cylinders": 4.0, "displacement": 85.0, "weight": 2070.0}
+train33_volkswagen_dasher	{"horsepower": 67.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 79.0, "weight": 1963.0}
+train34_volvo_145e_(sw)	{"horsepower": 112.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 121.0, "weight": 2933.0}
+train35_chrysler_lebaron_medallion	{"horsepower": 92.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 156.0, "weight": 2585.0}
+train36_pontiac_catalina	{"horsepower": 170.0, "acceleration": 11.5, "cylinders": 8.0, "displacement": 400.0, "weight": 4668.0}
+train37_toyota_tercel	{"horsepower": 62.0, "acceleration": 17.3, "cylinders": 4.0, "displacement": 89.0, "weight": 2050.0}
+train38_datsun_f-10_hatchback	{"horsepower": 70.0, "acceleration": 16.8, "cylinders": 4.0, "displacement": 85.0, "weight": 1945.0}
+train39_chrysler_lebaron_town_@_country_(sw)	{"horsepower": 150.0, "acceleration": 13.0, "cylinders": 8.0, "displacement": 360.0, "weight": 3940.0}
+train40_buick_century	{"horsepower": 110.0, "acceleration": 15.8, "cylinders": 6.0, "displacement": 231.0, "weight": 3415.0}
+train41_amc_matador_(sw)	{"horsepower": 150.0, "acceleration": 12.5, "cylinders": 8.0, "displacement": 304.0, "weight": 3892.0}
+train42_honda_civic	{"horsepower": 67.0, "acceleration": 15.0, "cylinders": 4.0, "displacement": 91.0, "weight": 1965.0}
+train43_dodge_coronet_custom_(sw)	{"horsepower": 150.0, "acceleration": 13.5, "cylinders": 8.0, "displacement": 318.0, "weight": 4457.0}
+train44_bmw_320i	{"horsepower": 110.0, "acceleration": 12.8, "cylinders": 4.0, "displacement": 121.0, "weight": 2600.0}
+train45_mercury_marquis	{"horsepower": 208.0, "acceleration": 11.0, "cylinders": 8.0, "displacement": 429.0, "weight": 4633.0}
+train46_amc_matador_(sw)	{"horsepower": 150.0, "acceleration": 15.5, "cylinders": 8.0, "displacement": 304.0, "weight": 4257.0}
+train47_ford_ltd	{"horsepower": 158.0, "acceleration": 13.0, "cylinders": 8.0, "displacement": 351.0, "weight": 4363.0}
+train48_toyota_corolla_1200	{"horsepower": 65.0, "acceleration": 19.0, "cylinders": 4.0, "displacement": 71.0, "weight": 1773.0}
+train49_amc_ambassador_brougham	{"horsepower": 175.0, "acceleration": 11.0, "cylinders": 8.0, "displacement": 360.0, "weight": 3821.0}
+train50_ford_galaxie_500	{"horsepower": 153.0, "acceleration": 13.0, "cylinders": 8.0, "displacement": 351.0, "weight": 4129.0}
+train51_amc_concord_d/l	{"horsepower": 120.0, "acceleration": 15.1, "cylinders": 6.0, "displacement": 258.0, "weight": 3410.0}
+train52_amc_matador	{"horsepower": 100.0, "acceleration": 15.5, "cylinders": 6.0, "displacement": 232.0, "weight": 3288.0}
+train53_toyota_corona	{"horsepower": 96.0, "acceleration": 13.5, "cylinders": 4.0, "displacement": 134.0, "weight": 2702.0}
+train54_plymouth_reliant	{"horsepower": 84.0, "acceleration": 15.7, "cylinders": 4.0, "displacement": 135.0, "weight": 2490.0}
+train55_ford_pinto	{"horsepower": 97.0, "acceleration": 14.5, "cylinders": 6.0, "displacement": 171.0, "weight": 2984.0}
+train56_datsun_810	{"horsepower": 97.0, "acceleration": 14.5, "cylinders": 6.0, "displacement": 146.0, "weight": 2815.0}
+train57_fiat_x1.9	{"horsepower": 67.0, "acceleration": 16.0, "cylinders": 4.0, "displacement": 79.0, "weight": 2000.0}
+train58_mercury_zephyr	{"horsepower": 85.0, "acceleration": 16.7, "cylinders": 6.0, "displacement": 200.0, "weight": 3070.0}
+train59_toyota_corolla_1600_(sw)	{"horsepower": 88.0, "acceleration": 16.5, "cylinders": 4.0, "displacement": 97.0, "weight": 2100.0}
+train60_chevrolet_chevette	{"horsepower": 68.0, "acceleration": 16.5, "cylinders": 4.0, "displacement": 98.0, "weight": 2155.0}
+train61_toyota_cressida	{"horsepower": 116.0, "acceleration": 12.6, "cylinders": 6.0, "displacement": 168.0, "weight": 2900.0}
+train62_toyota_corolla	{"horsepower": 70.0, "acceleration": 16.9, "cylinders": 4.0, "displacement": 108.0, "weight": 2245.0}
+train63_datsun_710	{"horsepower": 97.0, "acceleration": 17.0, "cylinders": 4.0, "displacement": 119.0, "weight": 2545.0}
+train64_mercury_grand_marquis	{"horsepower": 138.0, "acceleration": 13.2, "cylinders": 8.0, "displacement": 351.0, "weight": 3955.0}
+train65_plymouth_champ	{"horsepower": 64.0, "acceleration": 16.4, "cylinders": 4.0, "displacement": 86.0, "weight": 1875.0}
+train66_datsun_200-sx	{"horsepower": 97.0, "acceleration": 14.9, "cylinders": 4.0, "displacement": 119.0, "weight": 2405.0}
+train67_chevrolet_nova	{"horsepower": 105.0, "acceleration": 16.0, "cylinders": 6.0, "displacement": 250.0, "weight": 3459.0}
+train68_hi_1200d	{"horsepower": 193.0, "acceleration": 18.5, "cylinders": 8.0, "displacement": 304.0, "weight": 4732.0}
+train69_ford_country	{"horsepower": 167.0, "acceleration": 12.5, "cylinders": 8.0, "displacement": 400.0, "weight": 4906.0}
+train70_plymouth_valiant	{"horsepower": 100.0, "acceleration": 15.4, "cylinders": 6.0, "displacement": 225.0, "weight": 3233.0}
+train71_amc_gremlin	{"horsepower": 100.0, "acceleration": 16.0, "cylinders": 6.0, "displacement": 232.0, "weight": 2914.0}
+train72_ford_pinto_runabout	{"horsepower": 86.0, "acceleration": 16.5, "cylinders": 4.0, "displacement": 122.0, "weight": 2226.0}
+train73_chevrolet_monte_carlo_landau	{"horsepower": 145.0, "acceleration": 13.2, "cylinders": 8.0, "displacement": 305.0, "weight": 3425.0}
+train74_amc_concord_dl_6	{"horsepower": 90.0, "acceleration": 18.2, "cylinders": 6.0, "displacement": 232.0, "weight": 3265.0}
+train75_pontiac_firebird	{"horsepower": 100.0, "acceleration": 15.0, "cylinders": 6.0, "displacement": 250.0, "weight": 3282.0}
+train76_chevrolet_cavalier_2-door	{"horsepower": 88.0, "acceleration": 18.0, "cylinders": 4.0, "displacement": 112.0, "weight": 2395.0}
+train77_mercedes-benz_280s	{"horsepower": 120.0, "acceleration": 16.7, "cylinders": 6.0, "displacement": 168.0, "weight": 3820.0}
+train78_dodge_d200	{"horsepower": 210.0, "acceleration": 13.5, "cylinders": 8.0, "displacement": 318.0, "weight": 4382.0}
+train79_amc_hornet	{"horsepower": 97.0, "acceleration": 15.5, "cylinders": 6.0, "displacement": 199.0, "weight": 2774.0}
+train80_plymouth_reliant	{"horsepower": 84.0, "acceleration": 12.9, "cylinders": 4.0, "displacement": 135.0, "weight": 2385.0}
+train81_amc_hornet	{"horsepower": 100.0, "acceleration": 16.0, "cylinders": 6.0, "displacement": 232.0, "weight": 2901.0}
+train82_toyota_corona_liftback	{"horsepower": 90.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 134.0, "weight": 2711.0}
+train83_ford_maverick	{"horsepower": 72.0, "acceleration": 19.5, "cylinders": 6.0, "displacement": 250.0, "weight": 3158.0}
+train84_cadillac_eldorado	{"horsepower": 125.0, "acceleration": 17.4, "cylinders": 8.0, "displacement": 350.0, "weight": 3900.0}
+train85_mercury_monarch	{"horsepower": 72.0, "acceleration": 21.0, "cylinders": 6.0, "displacement": 250.0, "weight": 3432.0}
+train86_buick_skylark	{"horsepower": 105.0, "acceleration": 16.9, "cylinders": 6.0, "displacement": 231.0, "weight": 3425.0}
+train87_chevrolet_cavalier	{"horsepower": 88.0, "acceleration": 19.6, "cylinders": 4.0, "displacement": 112.0, "weight": 2605.0}
+train88_chevrolet_vega	{"horsepower": 90.0, "acceleration": 19.5, "cylinders": 4.0, "displacement": 140.0, "weight": 2408.0}
+train89_ford_torino	{"horsepower": 140.0, "acceleration": 10.5, "cylinders": 8.0, "displacement": 302.0, "weight": 3449.0}
+train90_chevrolet_chevelle_malibu	{"horsepower": 130.0, "acceleration": 12.0, "cylinders": 8.0, "displacement": 307.0, "weight": 3504.0}
+train91_toyota_corona	{"horsepower": 52.0, "acceleration": 16.5, "cylinders": 4.0, "displacement": 76.0, "weight": 1649.0}
+train92_buick_opel_isuzu_deluxe	{"horsepower": 80.0, "acceleration": 14.8, "cylinders": 4.0, "displacement": 111.0, "weight": 2155.0}
+train93_volvo_244dl	{"horsepower": 98.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 121.0, "weight": 2945.0}
+train94_opel_1900	{"horsepower": 81.0, "acceleration": 16.9, "cylinders": 4.0, "displacement": 116.0, "weight": 2220.0}
+train95_peugeot_304	{"horsepower": 70.0, "acceleration": 19.5, "cylinders": 4.0, "displacement": 79.0, "weight": 2074.0}
+train96_toyota_celica_gt	{"horsepower": 96.0, "acceleration": 13.9, "cylinders": 4.0, "displacement": 144.0, "weight": 2665.0}
+train97_buick_estate_wagon_(sw)	{"horsepower": 155.0, "acceleration": 14.9, "cylinders": 8.0, "displacement": 350.0, "weight": 4360.0}
+train98_volvo_245	{"horsepower": 102.0, "acceleration": 15.7, "cylinders": 4.0, "displacement": 130.0, "weight": 3150.0}
+train99_chevrolet_impala	{"horsepower": 150.0, "acceleration": 14.0, "cylinders": 8.0, "displacement": 400.0, "weight": 4997.0}
+train100_chevrolet_bel_air	{"horsepower": 145.0, "acceleration": 14.0, "cylinders": 8.0, "displacement": 350.0, "weight": 4440.0}
+train101_datsun_pl510	{"horsepower": 88.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 97.0, "weight": 2130.0}
+train102_saab_99gle	{"horsepower": 115.0, "acceleration": 15.7, "cylinders": 4.0, "displacement": 121.0, "weight": 2795.0}
+train103_renault_12tl	{"horsepower": 83.0, "acceleration": 15.3, "cylinders": 4.0, "displacement": 101.0, "weight": 2202.0}
+train104_pontiac_catalina	{"horsepower": 175.0, "acceleration": 12.0, "cylinders": 8.0, "displacement": 400.0, "weight": 4385.0}
+train105_subaru	{"horsepower": 67.0, "acceleration": 17.8, "cylinders": 4.0, "displacement": 97.0, "weight": 2065.0}
+train106_chevrolet_chevette	{"horsepower": 70.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 98.0, "weight": 2120.0}
+train107_saab_99le	{"horsepower": 115.0, "acceleration": 13.5, "cylinders": 4.0, "displacement": 121.0, "weight": 2671.0}
+train108_amc_rebel_sst	{"horsepower": 150.0, "acceleration": 12.0, "cylinders": 8.0, "displacement": 304.0, "weight": 3433.0}
+train109_ford_gran_torino	{"horsepower": 140.0, "acceleration": 14.0, "cylinders": 8.0, "displacement": 302.0, "weight": 4141.0}
+train110_ford_mustang_ii_2+2	{"horsepower": 89.0, "acceleration": 15.8, "cylinders": 4.0, "displacement": 140.0, "weight": 2755.0}
+train111_ford_pinto	{"horsepower": 80.0, "acceleration": 16.5, "cylinders": 4.0, "displacement": 122.0, "weight": 2451.0}
+train112_toyota_corolla	{"horsepower": 75.0, "acceleration": 16.8, "cylinders": 4.0, "displacement": 108.0, "weight": 2350.0}
+train113_toyota_carina	{"horsepower": 88.0, "acceleration": 19.0, "cylinders": 4.0, "displacement": 97.0, "weight": 2279.0}
+train114_amc_hornet	{"horsepower": 100.0, "acceleration": 16.0, "cylinders": 6.0, "displacement": 232.0, "weight": 2945.0}
+train115_plymouth_horizon_4	{"horsepower": 63.0, "acceleration": 14.9, "cylinders": 4.0, "displacement": 105.0, "weight": 2215.0}
+train116_chevrolet_nova	{"horsepower": 105.0, "acceleration": 14.5, "cylinders": 6.0, "displacement": 250.0, "weight": 3353.0}
+train117_fiat_128	{"horsepower": 75.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 90.0, "weight": 2108.0}
+train118_dodge_coronet_custom	{"horsepower": 150.0, "acceleration": 12.5, "cylinders": 8.0, "displacement": 318.0, "weight": 3777.0}
+train119_volkswagen_rabbit	{"horsepower": 71.0, "acceleration": 12.2, "cylinders": 4.0, "displacement": 97.0, "weight": 1825.0}
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+train269_vokswagen_rabbit	{"horsepower": 62.0, "acceleration": 15.3, "cylinders": 4.0, "displacement": 89.0, "weight": 1845.0}
+train270_peugeot_504	{"horsepower": 71.0, "acceleration": 24.8, "cylinders": 4.0, "displacement": 141.0, "weight": 3190.0}
+train271_chevrolet_vega_2300	{"horsepower": 90.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 140.0, "weight": 2264.0}
+train272_ford_fairmont_(auto)	{"horsepower": 85.0, "acceleration": 15.8, "cylinders": 6.0, "displacement": 200.0, "weight": 2965.0}
+train273_plymouth_grand_fury	{"horsepower": 150.0, "acceleration": 14.5, "cylinders": 8.0, "displacement": 318.0, "weight": 4498.0}
+train274_plymouth_'cuda_340	{"horsepower": 160.0, "acceleration": 8.0, "cylinders": 8.0, "displacement": 340.0, "weight": 3609.0}
+train275_ford_granada_l	{"horsepower": 112.0, "acceleration": 14.7, "cylinders": 6.0, "displacement": 232.0, "weight": 2835.0}
+train276_volkswagen_rabbit_custom	{"horsepower": 78.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 97.0, "weight": 1940.0}
+train277_honda_civic_cvcc	{"horsepower": 53.0, "acceleration": 17.5, "cylinders": 4.0, "displacement": 91.0, "weight": 1795.0}
+train278_chevrolet_nova_custom	{"horsepower": 100.0, "acceleration": 18.0, "cylinders": 6.0, "displacement": 250.0, "weight": 3278.0}
+train279_honda_civic_cvcc	{"horsepower": 60.0, "acceleration": 16.4, "cylinders": 4.0, "displacement": 91.0, "weight": 1800.0}
+train280_volkswagen_type_3	{"horsepower": 54.0, "acceleration": 23.5, "cylinders": 4.0, "displacement": 97.0, "weight": 2254.0}
+train281_toyota_corolla_tercel	{"horsepower": 60.0, "acceleration": 18.8, "cylinders": 4.0, "displacement": 89.0, "weight": 1968.0}
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+train284_dodge_omni	{"horsepower": 75.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 105.0, "weight": 2230.0}
+train285_plymouth_volare_custom	{"horsepower": 100.0, "acceleration": 17.7, "cylinders": 6.0, "displacement": 225.0, "weight": 3630.0}
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+train292_mazda_rx-4	{"horsepower": 110.0, "acceleration": 13.5, "cylinders": 3.0, "displacement": 80.0, "weight": 2720.0}
+train293_volkswagen_super_beetle	{"horsepower": 46.0, "acceleration": 21.0, "cylinders": 4.0, "displacement": 97.0, "weight": 1950.0}
+train294_ford_fairmont_(man)	{"horsepower": 88.0, "acceleration": 15.4, "cylinders": 4.0, "displacement": 140.0, "weight": 2720.0}
+train295_fiat_131	{"horsepower": 86.0, "acceleration": 15.5, "cylinders": 4.0, "displacement": 107.0, "weight": 2464.0}
+train296_ford_escort_4w	{"horsepower": 65.0, "acceleration": 16.2, "cylinders": 4.0, "displacement": 98.0, "weight": 2045.0}
+train297_plymouth_horizon_miser	{"horsepower": 63.0, "acceleration": 14.7, "cylinders": 4.0, "displacement": 105.0, "weight": 2125.0}
+train298_ford_mustang_ii	{"horsepower": 129.0, "acceleration": 12.0, "cylinders": 8.0, "displacement": 302.0, "weight": 3169.0}
+train299_saab_99e	{"horsepower": 95.0, "acceleration": 17.5, "cylinders": 4.0, "displacement": 104.0, "weight": 2375.0}
+train300_fiat_124b	{"horsepower": 76.0, "acceleration": 14.5, "cylinders": 4.0, "displacement": 88.0, "weight": 2065.0}
diff --git a/creg/test_data/auto-mpg.trainresp b/creg/test_data/auto-mpg.trainresp
new file mode 100644
index 00000000..ece7fa37
--- /dev/null
+++ b/creg/test_data/auto-mpg.trainresp
@@ -0,0 +1,300 @@
+train1_buick_century_350	13.0
+train2_audi_100_ls	24.0
+train3_chrysler_newport_royal	13.0
+train4_mercury_zephyr_6	19.8
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+train16_pontiac_lemans_v6	21.5
+train17_ford_granada_gl	20.2
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+train19_subaru	26.0
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+train28_nissan_stanza_xe	36.0
+train29_audi_5000	20.3
+train30_chevrolet_malibu	13.0
+train31_mercury_capri_v6	21.0
+train32_datsun_b210_gx	39.4
+train33_volkswagen_dasher	26.0
+train34_volvo_145e_(sw)	18.0
+train35_chrysler_lebaron_medallion	26.0
+train36_pontiac_catalina	16.0
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+train38_datsun_f-10_hatchback	33.5
+train39_chrysler_lebaron_town_@_country_(sw)	18.5
+train40_buick_century	22.4
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+train42_honda_civic	38.0
+train43_dodge_coronet_custom_(sw)	14.0
+train44_bmw_320i	21.5
+train45_mercury_marquis	11.0
+train46_amc_matador_(sw)	14.0
+train47_ford_ltd	13.0
+train48_toyota_corolla_1200	31.0
+train49_amc_ambassador_brougham	13.0
+train50_ford_galaxie_500	14.0
+train51_amc_concord_d/l	18.1
+train52_amc_matador	18.0
+train53_toyota_corona	24.0
+train54_plymouth_reliant	27.2
+train55_ford_pinto	18.0
+train56_datsun_810	22.0
+train57_fiat_x1.9	31.0
+train58_mercury_zephyr	20.8
+train59_toyota_corolla_1600_(sw)	27.0
+train60_chevrolet_chevette	30.0
+train61_toyota_cressida	25.4
+train62_toyota_corolla	34.0
+train63_datsun_710	24.0
+train64_mercury_grand_marquis	16.5
+train65_plymouth_champ	39.0
+train66_datsun_200-sx	23.9
+train67_chevrolet_nova	18.0
+train68_hi_1200d	9.0
+train69_ford_country	12.0
+train70_plymouth_valiant	22.0
+train71_amc_gremlin	20.0
+train72_ford_pinto_runabout	21.0
+train73_chevrolet_monte_carlo_landau	19.2
+train74_amc_concord_dl_6	20.2
+train75_pontiac_firebird	19.0
+train76_chevrolet_cavalier_2-door	34.0
+train77_mercedes-benz_280s	16.5
+train78_dodge_d200	11.0
+train79_amc_hornet	18.0
+train80_plymouth_reliant	30.0
+train81_amc_hornet	19.0
+train82_toyota_corona_liftback	29.8
+train83_ford_maverick	15.0
+train84_cadillac_eldorado	23.0
+train85_mercury_monarch	15.0
+train86_buick_skylark	20.5
+train87_chevrolet_cavalier	28.0
+train88_chevrolet_vega	20.0
+train89_ford_torino	17.0
+train90_chevrolet_chevelle_malibu	18.0
+train91_toyota_corona	31.0
+train92_buick_opel_isuzu_deluxe	30.0
+train93_volvo_244dl	22.0
+train94_opel_1900	25.0
+train95_peugeot_304	30.0
+train96_toyota_celica_gt	32.0
+train97_buick_estate_wagon_(sw)	16.9
+train98_volvo_245	20.0
+train99_chevrolet_impala	11.0
+train100_chevrolet_bel_air	15.0
+train101_datsun_pl510	27.0
+train102_saab_99gle	21.6
+train103_renault_12tl	27.0
+train104_pontiac_catalina	14.0
+train105_subaru	32.3
+train106_chevrolet_chevette	32.1
+train107_saab_99le	25.0
+train108_amc_rebel_sst	16.0
+train109_ford_gran_torino	16.0
+train110_ford_mustang_ii_2+2	25.5
+train111_ford_pinto	26.0
+train112_toyota_corolla	32.4
+train113_toyota_carina	20.0
+train114_amc_hornet	18.0
+train115_plymouth_horizon_4	34.7
+train116_chevrolet_nova	22.0
+train117_fiat_128	24.0
+train118_dodge_coronet_custom	15.0
+train119_volkswagen_rabbit	29.5
+train120_chevrolet_camaro	27.0
+train121_ford_gran_torino_(sw)	13.0
+train122_subaru_dl	30.0
+train123_mazda_626	31.3
+train124_oldsmobile_cutlass_salon_brougham	23.9
+train125_volvo_144ea	19.0
+train126_plymouth_satellite	18.0
+train127_amc_gremlin	18.0
+train128_chevrolet_malibu_classic_(sw)	19.2
+train129_toyota_corolla	29.0
+train130_buick_skylark_320	15.0
+train131_toyota_corona_mark_ii	24.0
+train132_ford_gran_torino	14.5
+train133_dodge_colt	26.0
+train134_pontiac_ventura_sj	18.5
+train135_oldsmobile_cutlass_ls	26.6
+train136_toyouta_corona_mark_ii_(sw)	23.0
+train137_amc_gremlin	19.0
+train138_chevrolet_malibu	20.5
+train139_oldsmobile_starfire_sx	23.8
+train140_amc_ambassador_dpl	15.0
+train141_volkswagen_scirocco	31.5
+train142_plymouth_satellite_custom_(sw)	14.0
+train143_toyota_corolla_liftback	26.0
+train144_ford_fairmont	26.4
+train145_plymouth_fury_gran_sedan	14.0
+train146_buick_century_luxus_(sw)	13.0
+train147_ford_granada_ghia	18.0
+train148_dodge_charger_2.2	36.0
+train149_chevrolet_concours	17.5
+train150_toyota_corona	27.5
+train151_pontiac_grand_prix_lj	16.0
+train152_dodge_colt_m/m	33.5
+train153_pontiac_astro	23.0
+train154_amc_gremlin	21.0
+train155_fiat_strada_custom	37.3
+train156_toyota_corona_hardtop	24.0
+train157_datsun_b210	31.0
+train158_volkswagen_dasher	30.5
+train159_plymouth_duster	23.0
+train160_mazda_626	31.6
+train161_buick_lesabre_custom	13.0
+train162_chevrolet_monte_carlo	15.0
+train163_peugeot_505s_turbo_diesel	28.1
+train164_datsun_610	22.0
+train165_ford_granada	18.5
+train166_pontiac_grand_prix	16.0
+train167_cadillac_seville	16.5
+train168_amc_concord	24.3
+train169_ford_mustang_gl	27.0
+train170_amc_matador	15.0
+train171_ford_gran_torino_(sw)	14.0
+train172_datsun_510_hatchback	37.0
+train173_dodge_rampage	32.0
+train174_datsun_b-210	32.0
+train175_datsun_210_mpg	37.0
+train176_plymouth_horizon_tc3	34.5
+train177_ford_pinto	19.0
+train178_chrysler_new_yorker_brougham	13.0
+train179_chrysler_cordoba	15.5
+train180_oldsmobile_cutlass_salon_brougham	19.9
+train181_plymouth_satellite_custom	16.0
+train182_maxda_glc_deluxe	34.1
+train183_datsun_1200	35.0
+train184_ford_pinto	26.5
+train185_volkswagen_rabbit_l	36.0
+train186_audi_100ls	23.0
+train187_chevrolet_citation	28.8
+train188_buick_electra_225_custom	12.0
+train189_datsun_200sx	32.9
+train190_dodge_colt_hatchback_custom	35.7
+train191_honda_accord_lx	29.5
+train192_plymouth_custom_suburb	13.0
+train193_toyota_mark_ii	20.0
+train194_oldsmobile_omega_brougham	26.8
+train195_ford_ltd_landau	17.6
+train196_chevy_c10	13.0
+train197_dodge_colt	28.0
+train198_oldsmobile_cutlass_supreme	17.0
+train199_ford_pinto_(sw)	22.0
+train200_chevrolet_vega	25.0
+train201_pontiac_catalina_brougham	14.0
+train202_ford_futura	18.1
+train203_honda_civic	33.0
+train204_ford_mustang	18.0
+train205_chevrolet_vega_(sw)	22.0
+train206_buick_century	17.0
+train207_dodge_aspen	19.1
+train208_subaru_dl	33.8
+train209_plymouth_fury_iii	15.0
+train210_fiat_128	29.0
+train211_volvo_264gl	17.0
+train212_dodge_aries_se	29.0
+train213_datsun_510	27.2
+train214_chevrolet_chevelle_malibu_classic	16.0
+train215_ford_ranger	28.0
+train216_vw_dasher_(diesel)	43.4
+train217_chevy_c20	10.0
+train218_buick_skyhawk	21.0
+train219_peugeot_504	23.0
+train220_ford_f250	10.0
+train221_dodge_diplomat	19.4
+train222_honda_civic_(auto)	32.0
+train223_chevrolet_caprice_classic	17.0
+train224_toyota_corolla_1200	32.0
+train225_plymouth_volare_premier_v8	13.0
+train226_opel_manta	26.0
+train227_mercedes_benz_300d	25.4
+train228_chevrolet_cavalier_wagon	27.0
+train229_vw_rabbit	29.0
+train230_toyota_corolla	32.2
+train231_buick_estate_wagon_(sw)	14.0
+train232_ford_f108	13.0
+train233_oldsmobile_omega	11.0
+train234_oldsmobile_cutlass_ciera_(diesel)	38.0
+train235_chevrolet_impala	14.0
+train236_volkswagen_dasher	25.0
+train237_ford_fairmont_futura	24.0
+train238_datsun_210	31.8
+train239_honda_accord_cvcc	31.5
+train240_mazda_glc	46.6
+train241_chevrolet_citation	28.0
+train242_datsun_810_maxima	24.2
+train243_ford_maverick	21.0
+train244_fiat_124_sport_coupe	26.0
+train245_chevrolet_vega	21.0
+train246_chevrolet_chevelle_malibu_classic	17.5
+train247_buick_skylark	26.6
+train248_renault_5_gtl	36.0
+train249_plymouth_duster	22.0
+train250_buick_regal_sport_coupe_(turbo)	17.7
+train251_mercury_lynx_l	36.0
+train252_dodge_aspen_6	20.6
+train253_oldsmobile_vista_cruiser	12.0
+train254_amc_pacer_d/l	17.5
+train255_ford_fairmont_4	22.3
+train256_chevrolet_chevelle_concours_(sw)	13.0
+train257_honda_accord	32.4
+train258_dodge_colt_hardtop	25.0
+train259_amc_hornet_sportabout_(sw)	18.0
+train260_toyota_corona	25.0
+train261_ford_fiesta	36.1
+train262_datsun_280-zx	32.7
+train263_chevrolet_impala	13.0
+train264_toyota_corolla	28.0
+train265_chevrolet_chevelle_malibu	17.0
+train266_volvo_diesel	30.7
+train267_pontiac_phoenix	27.0
+train268_dodge_colt_(sw)	28.0
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+train270_peugeot_504	27.2
+train271_chevrolet_vega_2300	28.0
+train272_ford_fairmont_(auto)	20.2
+train273_plymouth_grand_fury	16.0
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+train281_toyota_corolla_tercel	38.1
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+train287_honda_civic_1300	35.1
+train288_saab_99le	24.0
+train289_honda_prelude	33.7
+train290_buick_skylark_limited	28.4
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+train292_mazda_rx-4	21.5
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+train295_fiat_131	28.0
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+train297_plymouth_horizon_miser	38.0
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+train299_saab_99e	25.0
+train300_fiat_124b	30.0