lstmtrainer.cpp

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// File:        lstmtrainer.cpp
// Description: Top-level line trainer class for LSTM-based networks.
// Author:      Ray Smith
// Created:     Fir May 03 09:14:06 PST 2013
//
// (C) Copyright 2013, Google Inc.
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
// http://www.apache.org/licenses/LICENSE-2.0
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

// Include automatically generated configuration file if running autoconf.
#ifdef HAVE_CONFIG_H
#include "config_auto.h"
#endif

#include "lstmtrainer.h"
#include <string>

#include "allheaders.h"
#include "boxread.h"
#include "ctc.h"
#include "imagedata.h"
#include "input.h"
#include "networkbuilder.h"
#include "ratngs.h"
#include "recodebeam.h"
#ifdef INCLUDE_TENSORFLOW
#include "tfnetwork.h"
#endif
#include "tprintf.h"

#include "callcpp.h"

namespace tesseract {

// Min actual error rate increase to constitute divergence.
const double kMinDivergenceRate = 50.0;
// Min iterations since last best before acting on a stall.
const int kMinStallIterations = 10000;
// Fraction of current char error rate that sub_trainer_ has to be ahead
// before we declare the sub_trainer_ a success and switch to it.
const double kSubTrainerMarginFraction = 3.0 / 128;
// Factor to reduce learning rate on divergence.
const double kLearningRateDecay = sqrt(0.5);
// LR adjustment iterations.
const int kNumAdjustmentIterations = 100;
// How often to add data to the error_graph_.
const int kErrorGraphInterval = 1000;
// Number of training images to train between calls to MaintainCheckpoints.
const int kNumPagesPerBatch = 100;
// Min percent error rate to consider start-up phase over.
const int kMinStartedErrorRate = 75;
// Error rate at which to transition to stage 1.
const double kStageTransitionThreshold = 10.0;
// Confidence beyond which the truth is more likely wrong than the recognizer.
const double kHighConfidence = 0.9375;  // 15/16.
// Fraction of weight sign-changing total to constitute a definite improvement.
const double kImprovementFraction = 15.0 / 16.0;
// Fraction of last written best to make it worth writing another.
const double kBestCheckpointFraction = 31.0 / 32.0;
// Scale factor for display of target activations of CTC.
const int kTargetXScale = 5;
const int kTargetYScale = 100;

LSTMTrainer::LSTMTrainer()
    : training_data_(0),
      file_reader_(LoadDataFromFile),
      file_writer_(SaveDataToFile),
      checkpoint_reader_(
          NewPermanentTessCallback(this, &LSTMTrainer::ReadTrainingDump)),
      checkpoint_writer_(
          NewPermanentTessCallback(this, &LSTMTrainer::SaveTrainingDump)),
      sub_trainer_(NULL) {
  EmptyConstructor();
  debug_interval_ = 0;
}

LSTMTrainer::LSTMTrainer(FileReader file_reader, FileWriter file_writer,
                         CheckPointReader checkpoint_reader,
                         CheckPointWriter checkpoint_writer,
                         const char* model_base, const char* checkpoint_name,
                         int debug_interval, inT64 max_memory)
    : training_data_(max_memory),
      file_reader_(file_reader),
      file_writer_(file_writer),
      checkpoint_reader_(checkpoint_reader),
      checkpoint_writer_(checkpoint_writer),
      sub_trainer_(NULL) {
  EmptyConstructor();
  if (file_reader_ == NULL) file_reader_ = LoadDataFromFile;
  if (file_writer_ == NULL) file_writer_ = SaveDataToFile;
  if (checkpoint_reader_ == NULL) {
    checkpoint_reader_ =
        NewPermanentTessCallback(this, &LSTMTrainer::ReadTrainingDump);
  }
  if (checkpoint_writer_ == NULL) {
    checkpoint_writer_ =
        NewPermanentTessCallback(this, &LSTMTrainer::SaveTrainingDump);
  }
  debug_interval_ = debug_interval;
  model_base_ = model_base;
  checkpoint_name_ = checkpoint_name;
}

LSTMTrainer::~LSTMTrainer() {
  delete align_win_;
  delete target_win_;
  delete ctc_win_;
  delete recon_win_;
  delete checkpoint_reader_;
  delete checkpoint_writer_;
  delete sub_trainer_;
}

// Tries to deserialize a trainer from the given file and silently returns
// false in case of failure.
bool LSTMTrainer::TryLoadingCheckpoint(const char* filename) {
  GenericVector<char> data;
  if (!(*file_reader_)(filename, &data)) return false;
  tprintf("Loaded file %s, unpacking...\n", filename);
  return checkpoint_reader_->Run(data, this);
}

// Initializes the character set encode/decode mechanism.
// train_flags control training behavior according to the TrainingFlags
// enum, including character set encoding.
// script_dir is required for TF_COMPRESS_UNICHARSET, and, if provided,
// fully initializes the unicharset from the universal unicharsets.
// Note: Call before InitNetwork!
void LSTMTrainer::InitCharSet(const UNICHARSET& unicharset,
                              const STRING& script_dir, int train_flags) {
  EmptyConstructor();
  training_flags_ = train_flags;
  ccutil_.unicharset.CopyFrom(unicharset);
  null_char_ = GetUnicharset().has_special_codes() ? UNICHAR_BROKEN
                                                   : GetUnicharset().size();
  SetUnicharsetProperties(script_dir);
}

// Initializes the character set encode/decode mechanism directly from a
// previously setup UNICHARSET and UnicharCompress.
// ctc_mode controls how the truth text is mapped to the network targets.
// Note: Call before InitNetwork!
void LSTMTrainer::InitCharSet(const UNICHARSET& unicharset,
                              const UnicharCompress& recoder) {
  EmptyConstructor();
  int flags = TF_COMPRESS_UNICHARSET;
  training_flags_ = static_cast<TrainingFlags>(flags);
  ccutil_.unicharset.CopyFrom(unicharset);
  recoder_ = recoder;
  null_char_ = GetUnicharset().has_special_codes() ? UNICHAR_BROKEN
                                                   : GetUnicharset().size();
  RecodedCharID code;
  recoder_.EncodeUnichar(null_char_, &code);
  null_char_ = code(0);
  // Space should encode as itself.
  recoder_.EncodeUnichar(UNICHAR_SPACE, &code);
  ASSERT_HOST(code(0) == UNICHAR_SPACE);
}

// Initializes the trainer with a network_spec in the network description
// net_flags control network behavior according to the NetworkFlags enum.
// There isn't really much difference between them - only where the effects
// are implemented.
// For other args see NetworkBuilder::InitNetwork.
// Note: Be sure to call InitCharSet before InitNetwork!
bool LSTMTrainer::InitNetwork(const STRING& network_spec, int append_index,
                              int net_flags, float weight_range,
                              float learning_rate, float momentum) {
  // Call after InitCharSet.
  ASSERT_HOST(GetUnicharset().size() > SPECIAL_UNICHAR_CODES_COUNT);
  weight_range_ = weight_range;
  learning_rate_ = learning_rate;
  momentum_ = momentum;
  int num_outputs = null_char_ == GetUnicharset().size()
                        ? null_char_ + 1
                        : GetUnicharset().size();
  if (IsRecoding()) num_outputs = recoder_.code_range();
  if (!NetworkBuilder::InitNetwork(num_outputs, network_spec, append_index,
                                   net_flags, weight_range, &randomizer_,
                                   &network_)) {
    return false;
  }
  network_str_ += network_spec;
  tprintf("Built network:%s from request %s\n",
          network_->spec().string(), network_spec.string());
  tprintf("Training parameters:\n  Debug interval = %d,"
          " weights = %g, learning rate = %g, momentum=%g\n",
          debug_interval_, weight_range_, learning_rate_, momentum_);
  return true;
}

// Initializes a trainer from a serialized TFNetworkModel proto.
// Returns the global step of TensorFlow graph or 0 if failed.
int LSTMTrainer::InitTensorFlowNetwork(const std::string& tf_proto) {
#ifdef INCLUDE_TENSORFLOW
  delete network_;
  TFNetwork* tf_net = new TFNetwork("TensorFlow");
  training_iteration_ = tf_net->InitFromProtoStr(tf_proto);
  if (training_iteration_ == 0) {
    tprintf("InitFromProtoStr failed!!\n");
    return 0;
  }
  network_ = tf_net;
  ASSERT_HOST(recoder_.code_range() == tf_net->num_classes());
  return training_iteration_;
#else
  tprintf("TensorFlow not compiled in! -DINCLUDE_TENSORFLOW\n");
  return 0;
#endif
}

// Resets all the iteration counters for fine tuning or traininng a head,
// where we want the error reporting to reset.
void LSTMTrainer::InitIterations() {
  sample_iteration_ = 0;
  training_iteration_ = 0;
  learning_iteration_ = 0;
  prev_sample_iteration_ = 0;
  best_error_rate_ = 100.0;
  best_iteration_ = 0;
  worst_error_rate_ = 0.0;
  worst_iteration_ = 0;
  stall_iteration_ = kMinStallIterations;
  improvement_steps_ = kMinStallIterations;
  perfect_delay_ = 0;
  last_perfect_training_iteration_ = 0;
  for (int i = 0; i < ET_COUNT; ++i) {
    best_error_rates_[i] = 100.0;
    worst_error_rates_[i] = 0.0;
    error_buffers_[i].init_to_size(kRollingBufferSize_, 0.0);
    error_rates_[i] = 100.0;
  }
  error_rate_of_last_saved_best_ = kMinStartedErrorRate;
}

// If the training sample is usable, grid searches for the optimal
// dict_ratio/cert_offset, and returns the results in a string of space-
// separated triplets of ratio,offset=worderr.
Trainability LSTMTrainer::GridSearchDictParams(
    const ImageData* trainingdata, int iteration, double min_dict_ratio,
    double dict_ratio_step, double max_dict_ratio, double min_cert_offset,
    double cert_offset_step, double max_cert_offset, STRING* results) {
  sample_iteration_ = iteration;
  NetworkIO fwd_outputs, targets;
  Trainability result =
      PrepareForBackward(trainingdata, &fwd_outputs, &targets);
  if (result == UNENCODABLE || result == HI_PRECISION_ERR || dict_ == NULL)
    return result;

  // Encode/decode the truth to get the normalization.
  GenericVector<int> truth_labels, ocr_labels, xcoords;
  ASSERT_HOST(EncodeString(trainingdata->transcription(), &truth_labels));
  // NO-dict error.
  RecodeBeamSearch base_search(recoder_, null_char_, SimpleTextOutput(), NULL);
  base_search.Decode(fwd_outputs, 1.0, 0.0, RecodeBeamSearch::kMinCertainty,
                     NULL);
  base_search.ExtractBestPathAsLabels(&ocr_labels, &xcoords);
  STRING truth_text = DecodeLabels(truth_labels);
  STRING ocr_text = DecodeLabels(ocr_labels);
  double baseline_error = ComputeWordError(&truth_text, &ocr_text);
  results->add_str_double("0,0=", baseline_error);

  RecodeBeamSearch search(recoder_, null_char_, SimpleTextOutput(), dict_);
  for (double r = min_dict_ratio; r < max_dict_ratio; r += dict_ratio_step) {
    for (double c = min_cert_offset; c < max_cert_offset;
         c += cert_offset_step) {
      search.Decode(fwd_outputs, r, c, RecodeBeamSearch::kMinCertainty, NULL);
      search.ExtractBestPathAsLabels(&ocr_labels, &xcoords);
      truth_text = DecodeLabels(truth_labels);
      ocr_text = DecodeLabels(ocr_labels);
      // This is destructive on both strings.
      double word_error = ComputeWordError(&truth_text, &ocr_text);
      if ((r == min_dict_ratio && c == min_cert_offset) ||
          !std::isfinite(word_error)) {
        STRING t = DecodeLabels(truth_labels);
        STRING o = DecodeLabels(ocr_labels);
        tprintf("r=%g, c=%g, truth=%s, ocr=%s, wderr=%g, truth[0]=%d\n", r, c,
                t.string(), o.string(), word_error, truth_labels[0]);
      }
      results->add_str_double(" ", r);
      results->add_str_double(",", c);
      results->add_str_double("=", word_error);
    }
  }
  return result;
}

// Provides output on the distribution of weight values.
void LSTMTrainer::DebugNetwork() {
  network_->DebugWeights();
}

// Loads a set of lstmf files that were created using the lstm.train config to
// tesseract into memory ready for training. Returns false if nothing was
// loaded.
bool LSTMTrainer::LoadAllTrainingData(const GenericVector<STRING>& filenames) {
  training_data_.Clear();
  return training_data_.LoadDocuments(filenames, CacheStrategy(), file_reader_);
}

// Keeps track of best and locally worst char error_rate and launches tests
// using tester, when a new min or max is reached.
// Writes checkpoints at appropriate times and builds and returns a log message
// to indicate progress. Returns false if nothing interesting happened.
bool LSTMTrainer::MaintainCheckpoints(TestCallback tester, STRING* log_msg) {
  PrepareLogMsg(log_msg);
  double error_rate = CharError();
  int iteration = learning_iteration();
  if (iteration >= stall_iteration_ &&
      error_rate > best_error_rate_ * (1.0 + kSubTrainerMarginFraction) &&
      best_error_rate_ < kMinStartedErrorRate && !best_trainer_.empty()) {
    // It hasn't got any better in a long while, and is a margin worse than the
    // best, so go back to the best model and try a different learning rate.
    StartSubtrainer(log_msg);
  }
  SubTrainerResult sub_trainer_result = STR_NONE;
  if (sub_trainer_ != NULL) {
    sub_trainer_result = UpdateSubtrainer(log_msg);
    if (sub_trainer_result == STR_REPLACED) {
      // Reset the inputs, as we have overwritten *this.
      error_rate = CharError();
      iteration = learning_iteration();
      PrepareLogMsg(log_msg);
    }
  }
  bool result = true;  // Something interesting happened.
  GenericVector<char> rec_model_data;
  if (error_rate < best_error_rate_) {
    SaveRecognitionDump(&rec_model_data);
    log_msg->add_str_double(" New best char error = ", error_rate);
    *log_msg += UpdateErrorGraph(iteration, error_rate, rec_model_data, tester);
    // If sub_trainer_ is not NULL, either *this beat it to a new best, or it
    // just overwrote *this. In either case, we have finished with it.
    delete sub_trainer_;
    sub_trainer_ = NULL;
    stall_iteration_ = learning_iteration() + kMinStallIterations;
    if (TransitionTrainingStage(kStageTransitionThreshold)) {
      log_msg->add_str_int(" Transitioned to stage ", CurrentTrainingStage());
    }
    checkpoint_writer_->Run(NO_BEST_TRAINER, this, &best_trainer_);
    if (error_rate < error_rate_of_last_saved_best_ * kBestCheckpointFraction) {
      STRING best_model_name = DumpFilename();
      if (!(*file_writer_)(best_trainer_, best_model_name)) {
        *log_msg += " failed to write best model:";
      } else {
        *log_msg += " wrote best model:";
        error_rate_of_last_saved_best_ = best_error_rate_;
      }
      *log_msg += best_model_name;
    }
  } else if (error_rate > worst_error_rate_) {
    SaveRecognitionDump(&rec_model_data);
    log_msg->add_str_double(" New worst char error = ", error_rate);
    *log_msg += UpdateErrorGraph(iteration, error_rate, rec_model_data, tester);
    if (worst_error_rate_ > best_error_rate_ + kMinDivergenceRate &&
        best_error_rate_ < kMinStartedErrorRate && !best_trainer_.empty()) {
      // Error rate has ballooned. Go back to the best model.
      *log_msg += "\nDivergence! ";
      // Copy best_trainer_ before reading it, as it will get overwritten.
      GenericVector<char> revert_data(best_trainer_);
      if (checkpoint_reader_->Run(revert_data, this)) {
        LogIterations("Reverted to", log_msg);
        ReduceLearningRates(this, log_msg);
      } else {
        LogIterations("Failed to Revert at", log_msg);
      }
      // If it fails again, we will wait twice as long before reverting again.
      stall_iteration_ = iteration + 2 * (iteration - learning_iteration());
      // Re-save the best trainer with the new learning rates and stall
      // iteration.
      checkpoint_writer_->Run(NO_BEST_TRAINER, this, &best_trainer_);
    }
  } else {
    // Something interesting happened only if the sub_trainer_ was trained.
    result = sub_trainer_result != STR_NONE;
  }
  if (checkpoint_writer_ != NULL && file_writer_ != NULL &&
      checkpoint_name_.length() > 0) {
    // Write a current checkpoint.
    GenericVector<char> checkpoint;
    if (!checkpoint_writer_->Run(FULL, this, &checkpoint) ||
        !(*file_writer_)(checkpoint, checkpoint_name_)) {
      *log_msg += " failed to write checkpoint.";
    } else {
      *log_msg += " wrote checkpoint.";
    }
  }
  *log_msg += "\n";
  return result;
}

// Builds a string containing a progress message with current error rates.
void LSTMTrainer::PrepareLogMsg(STRING* log_msg) const {
  LogIterations("At", log_msg);
  log_msg->add_str_double(", Mean rms=", error_rates_[ET_RMS]);
  log_msg->add_str_double("%, delta=", error_rates_[ET_DELTA]);
  log_msg->add_str_double("%, char train=", error_rates_[ET_CHAR_ERROR]);
  log_msg->add_str_double("%, word train=", error_rates_[ET_WORD_RECERR]);
  log_msg->add_str_double("%, skip ratio=", error_rates_[ET_SKIP_RATIO]);
  *log_msg += "%, ";
}

// Appends <intro_str> iteration learning_iteration()/training_iteration()/
// sample_iteration() to the log_msg.
void LSTMTrainer::LogIterations(const char* intro_str, STRING* log_msg) const {
  *log_msg += intro_str;
  log_msg->add_str_int(" iteration ", learning_iteration());
  log_msg->add_str_int("/", training_iteration());
  log_msg->add_str_int("/", sample_iteration());
}

// Returns true and increments the training_stage_ if the error rate has just
// passed through the given threshold for the first time.
bool LSTMTrainer::TransitionTrainingStage(float error_threshold) {
  if (best_error_rate_ < error_threshold &&
      training_stage_ + 1 < num_training_stages_) {
    ++training_stage_;
    return true;
  }
  return false;
}

// Writes to the given file. Returns false in case of error.
bool LSTMTrainer::Serialize(TFile* fp) const {
  if (!LSTMRecognizer::Serialize(fp)) return false;
  if (fp->FWrite(&learning_iteration_, sizeof(learning_iteration_), 1) != 1)
    return false;
  if (fp->FWrite(&prev_sample_iteration_, sizeof(prev_sample_iteration_), 1) !=
      1)
    return false;
  if (fp->FWrite(&perfect_delay_, sizeof(perfect_delay_), 1) != 1) return false;
  if (fp->FWrite(&last_perfect_training_iteration_,
                 sizeof(last_perfect_training_iteration_), 1) != 1)
    return false;
  for (int i = 0; i < ET_COUNT; ++i) {
    if (!error_buffers_[i].Serialize(fp)) return false;
  }
  if (fp->FWrite(&error_rates_, sizeof(error_rates_), 1) != 1) return false;
  if (fp->FWrite(&training_stage_, sizeof(training_stage_), 1) != 1)
    return false;
  uinT8 amount = serialize_amount_;
  if (fp->FWrite(&amount, sizeof(amount), 1) != 1) return false;
  if (amount == LIGHT) return true;  // We are done.
  if (fp->FWrite(&best_error_rate_, sizeof(best_error_rate_), 1) != 1)
    return false;
  if (fp->FWrite(&best_error_rates_, sizeof(best_error_rates_), 1) != 1)
    return false;
  if (fp->FWrite(&best_iteration_, sizeof(best_iteration_), 1) != 1)
    return false;
  if (fp->FWrite(&worst_error_rate_, sizeof(worst_error_rate_), 1) != 1)
    return false;
  if (fp->FWrite(&worst_error_rates_, sizeof(worst_error_rates_), 1) != 1)
    return false;
  if (fp->FWrite(&worst_iteration_, sizeof(worst_iteration_), 1) != 1)
    return false;
  if (fp->FWrite(&stall_iteration_, sizeof(stall_iteration_), 1) != 1)
    return false;
  if (!best_model_data_.Serialize(fp)) return false;
  if (!worst_model_data_.Serialize(fp)) return false;
  if (amount != NO_BEST_TRAINER && !best_trainer_.Serialize(fp)) return false;
  GenericVector<char> sub_data;
  if (sub_trainer_ != NULL && !SaveTrainingDump(LIGHT, sub_trainer_, &sub_data))
    return false;
  if (!sub_data.Serialize(fp)) return false;
  if (!best_error_history_.Serialize(fp)) return false;
  if (!best_error_iterations_.Serialize(fp)) return false;
  if (fp->FWrite(&improvement_steps_, sizeof(improvement_steps_), 1) != 1)
    return false;
  return true;
}

// Reads from the given file. Returns false in case of error.
// NOTE: It is assumed that the trainer is never read cross-endian.
bool LSTMTrainer::DeSerialize(TFile* fp) {
  if (!LSTMRecognizer::DeSerialize(fp)) return false;
  if (fp->FRead(&learning_iteration_, sizeof(learning_iteration_), 1) != 1) {
    // Special case. If we successfully decoded the recognizer, but fail here
    // then it means we were just given a recognizer, so issue a warning and
    // allow it.
    tprintf("Warning: LSTMTrainer deserialized an LSTMRecognizer!\n");
    learning_iteration_ = 0;
    network_->SetEnableTraining(TS_ENABLED);
    return true;
  }
  if (fp->FReadEndian(&prev_sample_iteration_, sizeof(prev_sample_iteration_),
                      1) != 1)
    return false;
  if (fp->FReadEndian(&perfect_delay_, sizeof(perfect_delay_), 1) != 1)
    return false;
  if (fp->FReadEndian(&last_perfect_training_iteration_,
                      sizeof(last_perfect_training_iteration_), 1) != 1)
    return false;
  for (int i = 0; i < ET_COUNT; ++i) {
    if (!error_buffers_[i].DeSerialize(fp)) return false;
  }
  if (fp->FRead(&error_rates_, sizeof(error_rates_), 1) != 1) return false;
  if (fp->FReadEndian(&training_stage_, sizeof(training_stage_), 1) != 1)
    return false;
  uinT8 amount;
  if (fp->FRead(&amount, sizeof(amount), 1) != 1) return false;
  if (amount == LIGHT) return true;  // Don't read the rest.
  if (fp->FReadEndian(&best_error_rate_, sizeof(best_error_rate_), 1) != 1)
    return false;
  if (fp->FReadEndian(&best_error_rates_, sizeof(best_error_rates_), 1) != 1)
    return false;
  if (fp->FReadEndian(&best_iteration_, sizeof(best_iteration_), 1) != 1)
    return false;
  if (fp->FReadEndian(&worst_error_rate_, sizeof(worst_error_rate_), 1) != 1)
    return false;
  if (fp->FReadEndian(&worst_error_rates_, sizeof(worst_error_rates_), 1) != 1)
    return false;
  if (fp->FReadEndian(&worst_iteration_, sizeof(worst_iteration_), 1) != 1)
    return false;
  if (fp->FReadEndian(&stall_iteration_, sizeof(stall_iteration_), 1) != 1)
    return false;
  if (!best_model_data_.DeSerialize(fp)) return false;
  if (!worst_model_data_.DeSerialize(fp)) return false;
  if (amount != NO_BEST_TRAINER && !best_trainer_.DeSerialize(fp)) return false;
  GenericVector<char> sub_data;
  if (!sub_data.DeSerialize(fp)) return false;
  delete sub_trainer_;
  if (sub_data.empty()) {
    sub_trainer_ = NULL;
  } else {
    sub_trainer_ = new LSTMTrainer();
    if (!ReadTrainingDump(sub_data, sub_trainer_)) return false;
  }
  if (!best_error_history_.DeSerialize(fp)) return false;
  if (!best_error_iterations_.DeSerialize(fp)) return false;
  if (fp->FReadEndian(&improvement_steps_, sizeof(improvement_steps_), 1) != 1)
    return false;
  return true;
}

// De-serializes the saved best_trainer_ into sub_trainer_, and adjusts the
// learning rates (by scaling reduction, or layer specific, according to
// NF_LAYER_SPECIFIC_LR).
void LSTMTrainer::StartSubtrainer(STRING* log_msg) {
  delete sub_trainer_;
  sub_trainer_ = new LSTMTrainer();
  if (!checkpoint_reader_->Run(best_trainer_, sub_trainer_)) {
    *log_msg += " Failed to revert to previous best for trial!";
    delete sub_trainer_;
    sub_trainer_ = NULL;
  } else {
    log_msg->add_str_int(" Trial sub_trainer_ from iteration ",
                         sub_trainer_->training_iteration());
    // Reduce learning rate so it doesn't diverge this time.
    sub_trainer_->ReduceLearningRates(this, log_msg);
    // If it fails again, we will wait twice as long before reverting again.
    int stall_offset =
        learning_iteration() - sub_trainer_->learning_iteration();
    stall_iteration_ = learning_iteration() + 2 * stall_offset;
    sub_trainer_->stall_iteration_ = stall_iteration_;
    // Re-save the best trainer with the new learning rates and stall iteration.
    checkpoint_writer_->Run(NO_BEST_TRAINER, sub_trainer_, &best_trainer_);
  }
}

// While the sub_trainer_ is behind the current training iteration and its
// training error is at least kSubTrainerMarginFraction better than the
// current training error, trains the sub_trainer_, and returns STR_UPDATED if
// it did anything. If it catches up, and has a better error rate than the
// current best, as well as a margin over the current error rate, then the
// trainer in *this is replaced with sub_trainer_, and STR_REPLACED is
// returned. STR_NONE is returned if the subtrainer wasn't good enough to
// receive any training iterations.
SubTrainerResult LSTMTrainer::UpdateSubtrainer(STRING* log_msg) {
  double training_error = CharError();
  double sub_error = sub_trainer_->CharError();
  double sub_margin = (training_error - sub_error) / sub_error;
  if (sub_margin >= kSubTrainerMarginFraction) {
    log_msg->add_str_double(" sub_trainer=", sub_error);
    log_msg->add_str_double(" margin=", 100.0 * sub_margin);
    *log_msg += "\n";
    // Catch up to current iteration.
    int end_iteration = training_iteration();
    while (sub_trainer_->training_iteration() < end_iteration &&
           sub_margin >= kSubTrainerMarginFraction) {
      int target_iteration =
          sub_trainer_->training_iteration() + kNumPagesPerBatch;
      while (sub_trainer_->training_iteration() < target_iteration) {
        sub_trainer_->TrainOnLine(this, false);
      }
      STRING batch_log = "Sub:";
      sub_trainer_->PrepareLogMsg(&batch_log);
      batch_log += "\n";
      tprintf("UpdateSubtrainer:%s", batch_log.string());
      *log_msg += batch_log;
      sub_error = sub_trainer_->CharError();
      sub_margin = (training_error - sub_error) / sub_error;
    }
    if (sub_error < best_error_rate_ &&
        sub_margin >= kSubTrainerMarginFraction) {
      // The sub_trainer_ has won the race to a new best. Switch to it.
      GenericVector<char> updated_trainer;
      SaveTrainingDump(LIGHT, sub_trainer_, &updated_trainer);
      ReadTrainingDump(updated_trainer, this);
      log_msg->add_str_int(" Sub trainer wins at iteration ",
                           training_iteration());
      *log_msg += "\n";
      return STR_REPLACED;
    }
    return STR_UPDATED;
  }
  return STR_NONE;
}

// Reduces network learning rates, either for everything, or for layers
// independently, according to NF_LAYER_SPECIFIC_LR.
void LSTMTrainer::ReduceLearningRates(LSTMTrainer* samples_trainer,
                                      STRING* log_msg) {
  if (network_->TestFlag(NF_LAYER_SPECIFIC_LR)) {
    int num_reduced = ReduceLayerLearningRates(
        kLearningRateDecay, kNumAdjustmentIterations, samples_trainer);
    log_msg->add_str_int("\nReduced learning rate on layers: ", num_reduced);
  } else {
    ScaleLearningRate(kLearningRateDecay);
    log_msg->add_str_double("\nReduced learning rate to :", learning_rate_);
  }
  *log_msg += "\n";
}

// Considers reducing the learning rate independently for each layer down by
// factor(<1), or leaving it the same, by double-training the given number of
// samples and minimizing the amount of changing of sign of weight updates.
// Even if it looks like all weights should remain the same, an adjustment
// will be made to guarantee a different result when reverting to an old best.
// Returns the number of layer learning rates that were reduced.
int LSTMTrainer::ReduceLayerLearningRates(double factor, int num_samples,
                                          LSTMTrainer* samples_trainer) {
  enum WhichWay {
    LR_DOWN,  // Learning rate will go down by factor.
    LR_SAME,  // Learning rate will stay the same.
    LR_COUNT  // Size of arrays.
  };
  // Epsilon is so small that it may as well be zero, but still positive.
  const double kEpsilon = 1.0e-30;
  GenericVector<STRING> layers = EnumerateLayers();
  int num_layers = layers.size();
  GenericVector<int> num_weights;
  num_weights.init_to_size(num_layers, 0);
  GenericVector<double> bad_sums[LR_COUNT];
  GenericVector<double> ok_sums[LR_COUNT];
  for (int i = 0; i < LR_COUNT; ++i) {
    bad_sums[i].init_to_size(num_layers, 0.0);
    ok_sums[i].init_to_size(num_layers, 0.0);
  }
  double momentum_factor = 1.0 / (1.0 - momentum_);
  GenericVector<char> orig_trainer;
  SaveTrainingDump(LIGHT, this, &orig_trainer);
  for (int i = 0; i < num_layers; ++i) {
    Network* layer = GetLayer(layers[i]);
    num_weights[i] = layer->IsTraining() ? layer->num_weights() : 0;
  }
  int iteration = sample_iteration();
  for (int s = 0; s < num_samples; ++s) {
    // Which way will we modify the learning rate?
    for (int ww = 0; ww < LR_COUNT; ++ww) {
      // Transfer momentum to learning rate and adjust by the ww factor.
      float ww_factor = momentum_factor;
      if (ww == LR_DOWN) ww_factor *= factor;
      // Make a copy of *this, so we can mess about without damaging anything.
      LSTMTrainer copy_trainer;
      copy_trainer.ReadTrainingDump(orig_trainer, &copy_trainer);
      // Clear the updates, doing nothing else.
      copy_trainer.network_->Update(0.0, 0.0, 0);
      // Adjust the learning rate in each layer.
      for (int i = 0; i < num_layers; ++i) {
        if (num_weights[i] == 0) continue;
        copy_trainer.ScaleLayerLearningRate(layers[i], ww_factor);
      }
      copy_trainer.SetIteration(iteration);
      // Train on the sample, but keep the update in updates_ instead of
      // applying to the weights.
      const ImageData* trainingdata =
          copy_trainer.TrainOnLine(samples_trainer, true);
      if (trainingdata == NULL) continue;
      // We'll now use this trainer again for each layer.
      GenericVector<char> updated_trainer;
      SaveTrainingDump(LIGHT, &copy_trainer, &updated_trainer);
      for (int i = 0; i < num_layers; ++i) {
        if (num_weights[i] == 0) continue;
        LSTMTrainer layer_trainer;
        layer_trainer.ReadTrainingDump(updated_trainer, &layer_trainer);
        Network* layer = layer_trainer.GetLayer(layers[i]);
        // Update the weights in just the layer, and also zero the updates
        // matrix (to epsilon).
        layer->Update(0.0, kEpsilon, 0);
        // Train again on the same sample, again holding back the updates.
        layer_trainer.TrainOnLine(trainingdata, true);
        // Count the sign changes in the updates in layer vs in copy_trainer.
        float before_bad = bad_sums[ww][i];
        float before_ok = ok_sums[ww][i];
        layer->CountAlternators(*copy_trainer.GetLayer(layers[i]),
                                &ok_sums[ww][i], &bad_sums[ww][i]);
        float bad_frac =
            bad_sums[ww][i] + ok_sums[ww][i] - before_bad - before_ok;
        if (bad_frac > 0.0f)
          bad_frac = (bad_sums[ww][i] - before_bad) / bad_frac;
      }
    }
    ++iteration;
  }
  int num_lowered = 0;
  for (int i = 0; i < num_layers; ++i) {
    if (num_weights[i] == 0) continue;
    Network* layer = GetLayer(layers[i]);
    float lr = GetLayerLearningRate(layers[i]);
    double total_down = bad_sums[LR_DOWN][i] + ok_sums[LR_DOWN][i];
    double total_same = bad_sums[LR_SAME][i] + ok_sums[LR_SAME][i];
    double frac_down = bad_sums[LR_DOWN][i] / total_down;
    double frac_same = bad_sums[LR_SAME][i] / total_same;
    tprintf("Layer %d=%s: lr %g->%g%%, lr %g->%g%%", i, layer->name().string(),
            lr * factor, 100.0 * frac_down, lr, 100.0 * frac_same);
    if (frac_down < frac_same * kImprovementFraction) {
      tprintf(" REDUCED\n");
      ScaleLayerLearningRate(layers[i], factor);
      ++num_lowered;
    } else {
      tprintf(" SAME\n");
    }
  }
  if (num_lowered == 0) {
    // Just lower everything to make sure.
    for (int i = 0; i < num_layers; ++i) {
      if (num_weights[i] > 0) {
        ScaleLayerLearningRate(layers[i], factor);
        ++num_lowered;
      }
    }
  }
  return num_lowered;
}

// Converts the string to integer class labels, with appropriate null_char_s
// in between if not in SimpleTextOutput mode. Returns false on failure.
/* static */
bool LSTMTrainer::EncodeString(const STRING& str, const UNICHARSET& unicharset,
                               const UnicharCompress* recoder, bool simple_text,
                               int null_char, GenericVector<int>* labels) {
  if (str.string() == NULL || str.length() <= 0) {
    tprintf("Empty truth string!\n");
    return false;
  }
  int err_index;
  GenericVector<int> internal_labels;
  labels->truncate(0);
  if (!simple_text) labels->push_back(null_char);
  if (unicharset.encode_string(str.string(), true, &internal_labels, NULL,
                               &err_index)) {
    bool success = true;
    for (int i = 0; i < internal_labels.size(); ++i) {
      if (recoder != NULL) {
        // Re-encode labels via recoder.
        RecodedCharID code;
        int len = recoder->EncodeUnichar(internal_labels[i], &code);
        if (len > 0) {
          for (int j = 0; j < len; ++j) {
            labels->push_back(code(j));
            if (!simple_text) labels->push_back(null_char);
          }
        } else {
          success = false;
          err_index = 0;
          break;
        }
      } else {
        labels->push_back(internal_labels[i]);
        if (!simple_text) labels->push_back(null_char);
      }
    }
    if (success) return true;
  }
  tprintf("Encoding of string failed! Failure bytes:");
  while (err_index < str.length()) {
    tprintf(" %x", str[err_index++]);
  }
  tprintf("\n");
  return false;
}

// Performs forward-backward on the given trainingdata.
// Returns a Trainability enum to indicate the suitability of the sample.
Trainability LSTMTrainer::TrainOnLine(const ImageData* trainingdata,
                                      bool batch) {
  NetworkIO fwd_outputs, targets;
  Trainability trainable =
      PrepareForBackward(trainingdata, &fwd_outputs, &targets);
  ++sample_iteration_;
  if (trainable == UNENCODABLE || trainable == NOT_BOXED) {
    return trainable;  // Sample was unusable.
  }
  bool debug = debug_interval_ > 0 &&
      training_iteration() % debug_interval_ == 0;
  // Run backprop on the output.
  NetworkIO bp_deltas;
  if (network_->IsTraining() &&
      (trainable != PERFECT ||
       training_iteration() >
           last_perfect_training_iteration_ + perfect_delay_)) {
    network_->Backward(debug, targets, &scratch_space_, &bp_deltas);
    network_->Update(learning_rate_, batch ? -1.0f : momentum_,
                     training_iteration_ + 1);
  }
#ifndef GRAPHICS_DISABLED
  if (debug_interval_ == 1 && debug_win_ != NULL) {
    delete debug_win_->AwaitEvent(SVET_CLICK);
  }
#endif  // GRAPHICS_DISABLED
  // Roll the memory of past means.
  RollErrorBuffers();
  return trainable;
}

// Prepares the ground truth, runs forward, and prepares the targets.
// Returns a Trainability enum to indicate the suitability of the sample.
Trainability LSTMTrainer::PrepareForBackward(const ImageData* trainingdata,
                                             NetworkIO* fwd_outputs,
                                             NetworkIO* targets) {
  if (trainingdata == NULL) {
    tprintf("Null trainingdata.\n");
    return UNENCODABLE;
  }
  // Ensure repeatability of random elements even across checkpoints.
  bool debug = debug_interval_ > 0 &&
      training_iteration() % debug_interval_ == 0;
  GenericVector<int> truth_labels;
  if (!EncodeString(trainingdata->transcription(), &truth_labels)) {
    tprintf("Can't encode transcription: %s\n",
            trainingdata->transcription().string());
    return UNENCODABLE;
  }
  int w = 0;
  while (w < truth_labels.size() &&
         (truth_labels[w] == UNICHAR_SPACE || truth_labels[w] == null_char_))
    ++w;
  if (w == truth_labels.size()) {
    tprintf("Blank transcription: %s\n",
            trainingdata->transcription().string());
    return UNENCODABLE;
  }
  float image_scale;
  NetworkIO inputs;
  bool invert = trainingdata->boxes().empty();
  if (!RecognizeLine(*trainingdata, invert, debug, invert, 0.0f, &image_scale,
                     &inputs, fwd_outputs)) {
    tprintf("Image not trainable\n");
    return UNENCODABLE;
  }
  targets->Resize(*fwd_outputs, network_->NumOutputs());
  LossType loss_type = OutputLossType();
  if (loss_type == LT_SOFTMAX) {
    if (!ComputeTextTargets(*fwd_outputs, truth_labels, targets)) {
      tprintf("Compute simple targets failed!\n");
      return UNENCODABLE;
    }
  } else if (loss_type == LT_CTC) {
    if (!ComputeCTCTargets(truth_labels, fwd_outputs, targets)) {
      tprintf("Compute CTC targets failed!\n");
      return UNENCODABLE;
    }
  } else {
    tprintf("Logistic outputs not implemented yet!\n");
    return UNENCODABLE;
  }
  GenericVector<int> ocr_labels;
  GenericVector<int> xcoords;
  LabelsFromOutputs(*fwd_outputs, 0.0f, &ocr_labels, &xcoords);
  // CTC does not produce correct target labels to begin with.
  if (loss_type != LT_CTC) {
    LabelsFromOutputs(*targets, 0.0f, &truth_labels, &xcoords);
  }
  if (!DebugLSTMTraining(inputs, *trainingdata, *fwd_outputs, truth_labels,
                         *targets)) {
    tprintf("Input width was %d\n", inputs.Width());
    return UNENCODABLE;
  }
  STRING ocr_text = DecodeLabels(ocr_labels);
  STRING truth_text = DecodeLabels(truth_labels);
  targets->SubtractAllFromFloat(*fwd_outputs);
  if (debug_interval_ != 0) {
    tprintf("Iteration %d: BEST OCR TEXT : %s\n", training_iteration(),
            ocr_text.string());
  }
  double char_error = ComputeCharError(truth_labels, ocr_labels);
  double word_error = ComputeWordError(&truth_text, &ocr_text);
  double delta_error = ComputeErrorRates(*targets, char_error, word_error);
  if (debug_interval_ != 0) {
    tprintf("File %s page %d %s:\n", trainingdata->imagefilename().string(),
            trainingdata->page_number(), delta_error == 0.0 ? "(Perfect)" : "");
  }
  if (delta_error == 0.0) return PERFECT;
  if (targets->AnySuspiciousTruth(kHighConfidence)) return HI_PRECISION_ERR;
  return TRAINABLE;
}

// Writes the trainer to memory, so that the current training state can be
// restored.
bool LSTMTrainer::SaveTrainingDump(SerializeAmount serialize_amount,
                                   const LSTMTrainer* trainer,
                                   GenericVector<char>* data) const {
  TFile fp;
  fp.OpenWrite(data);
  trainer->serialize_amount_ = serialize_amount;
  return trainer->Serialize(&fp);
}

// Reads previously saved trainer from memory.
bool LSTMTrainer::ReadTrainingDump(const GenericVector<char>& data,
                                   LSTMTrainer* trainer) {
  return trainer->ReadSizedTrainingDump(&data[0], data.size());
}

bool LSTMTrainer::ReadSizedTrainingDump(const char* data, int size) {
  TFile fp;
  fp.Open(data, size);
  return DeSerialize(&fp);
}

// Writes the recognizer to memory, so that it can be used for testing later.
void LSTMTrainer::SaveRecognitionDump(GenericVector<char>* data) const {
  TFile fp;
  fp.OpenWrite(data);
  network_->SetEnableTraining(TS_TEMP_DISABLE);
  ASSERT_HOST(LSTMRecognizer::Serialize(&fp));
  network_->SetEnableTraining(TS_RE_ENABLE);
}

// Reads and returns a previously saved recognizer from memory.
LSTMRecognizer* LSTMTrainer::ReadRecognitionDump(
    const GenericVector<char>& data) {
  TFile fp;
  fp.Open(&data[0], data.size());
  LSTMRecognizer* recognizer = new LSTMRecognizer;
  ASSERT_HOST(recognizer->DeSerialize(&fp));
  return recognizer;
}

// Returns a suitable filename for a training dump, based on the model_base_,
// the iteration and the error rates.
STRING LSTMTrainer::DumpFilename() const {
  STRING filename;
  filename.add_str_double(model_base_.string(), best_error_rate_);
  filename.add_str_int("_", best_iteration_);
  filename += ".lstm";
  return filename;
}

// Fills the whole error buffer of the given type with the given value.
void LSTMTrainer::FillErrorBuffer(double new_error, ErrorTypes type) {
  for (int i = 0; i < kRollingBufferSize_; ++i)
    error_buffers_[type][i] = new_error;
  error_rates_[type] = 100.0 * new_error;
}

// Factored sub-constructor sets up reasonable default values.
void LSTMTrainer::EmptyConstructor() {
  align_win_ = NULL;
  target_win_ = NULL;
  ctc_win_ = NULL;
  recon_win_ = NULL;
  checkpoint_iteration_ = 0;
  serialize_amount_ = FULL;
  training_stage_ = 0;
  num_training_stages_ = 2;
  InitIterations();
}

// Sets the unicharset properties using the given script_dir as a source of
// script unicharsets. If the flag TF_COMPRESS_UNICHARSET is true, also sets
// up the recoder_ to simplify the unicharset.
void LSTMTrainer::SetUnicharsetProperties(const STRING& script_dir) {
  tprintf("Setting unichar properties\n");
  for (int s = 0; s < GetUnicharset().get_script_table_size(); ++s) {
    if (strcmp("NULL", GetUnicharset().get_script_from_script_id(s)) == 0)
      continue;
    // Load the unicharset for the script if available.
    STRING filename = script_dir + "/" +
                      GetUnicharset().get_script_from_script_id(s) +
                      ".unicharset";
    UNICHARSET script_set;
    GenericVector<char> data;
    if ((*file_reader_)(filename, &data) &&
        script_set.load_from_inmemory_file(&data[0], data.size())) {
      tprintf("Setting properties for script %s\n",
              GetUnicharset().get_script_from_script_id(s));
      ccutil_.unicharset.SetPropertiesFromOther(script_set);
    }
  }
  if (IsRecoding()) {
    STRING filename = script_dir + "/radical-stroke.txt";
    GenericVector<char> data;
    if ((*file_reader_)(filename, &data)) {
      data += '\0';
      STRING stroke_table = &data[0];
      if (recoder_.ComputeEncoding(GetUnicharset(), null_char_,
                                   &stroke_table)) {
        RecodedCharID code;
        recoder_.EncodeUnichar(null_char_, &code);
        null_char_ = code(0);
        // Space should encode as itself.
        recoder_.EncodeUnichar(UNICHAR_SPACE, &code);
        ASSERT_HOST(code(0) == UNICHAR_SPACE);
        return;
      }
    } else {
      tprintf("Failed to load radical-stroke info from: %s\n",
              filename.string());
    }
    training_flags_ &= ~TF_COMPRESS_UNICHARSET;
  }
}

// Outputs the string and periodically displays the given network inputs
// as an image in the given window, and the corresponding labels at the
// corresponding x_starts.
// Returns false if the truth string is empty.
bool LSTMTrainer::DebugLSTMTraining(const NetworkIO& inputs,
                                    const ImageData& trainingdata,
                                    const NetworkIO& fwd_outputs,
                                    const GenericVector<int>& truth_labels,
                                    const NetworkIO& outputs) {
  const STRING& truth_text = DecodeLabels(truth_labels);
  if (truth_text.string() == NULL || truth_text.length() <= 0) {
    tprintf("Empty truth string at decode time!\n");
    return false;
  }
  if (debug_interval_ != 0) {
    // Get class labels, xcoords and string.
    GenericVector<int> labels;
    GenericVector<int> xcoords;
    LabelsFromOutputs(outputs, 0.0f, &labels, &xcoords);
    STRING text = DecodeLabels(labels);
    tprintf("Iteration %d: ALIGNED TRUTH : %s\n",
            training_iteration(), text.string());
    if (debug_interval_ > 0 && training_iteration() % debug_interval_ == 0) {
      tprintf("TRAINING activation path for truth string %s\n",
              truth_text.string());
      DebugActivationPath(outputs, labels, xcoords);
      DisplayForward(inputs, labels, xcoords, "LSTMTraining", &align_win_);
      if (OutputLossType() == LT_CTC) {
        DisplayTargets(fwd_outputs, "CTC Outputs", &ctc_win_);
        DisplayTargets(outputs, "CTC Targets", &target_win_);
      }
    }
  }
  return true;
}

// Displays the network targets as line a line graph.
void LSTMTrainer::DisplayTargets(const NetworkIO& targets,
                                 const char* window_name, ScrollView** window) {
#ifndef GRAPHICS_DISABLED  // do nothing if there's no graphics.
  int width = targets.Width();
  int num_features = targets.NumFeatures();
  Network::ClearWindow(true, window_name, width * kTargetXScale, kTargetYScale,
                       window);
  for (int c = 0; c < num_features; ++c) {
    int color = c % (ScrollView::GREEN_YELLOW - 1) + 2;
    (*window)->Pen(static_cast<ScrollView::Color>(color));
    int start_t = -1;
    for (int t = 0; t < width; ++t) {
      double target = targets.f(t)[c];
      target *= kTargetYScale;
      if (target >= 1) {
        if (start_t < 0) {
          (*window)->SetCursor(t - 1, 0);
          start_t = t;
        }
        (*window)->DrawTo(t, target);
      } else if (start_t >= 0) {
        (*window)->DrawTo(t, 0);
        (*window)->DrawTo(start_t - 1, 0);
        start_t = -1;
      }
    }
    if (start_t >= 0) {
      (*window)->DrawTo(width, 0);
      (*window)->DrawTo(start_t - 1, 0);
    }
  }
  (*window)->Update();
#endif  // GRAPHICS_DISABLED
}

// Builds a no-compromises target where the first positions should be the
// truth labels and the rest is padded with the null_char_.
bool LSTMTrainer::ComputeTextTargets(const NetworkIO& outputs,
                                     const GenericVector<int>& truth_labels,
                                     NetworkIO* targets) {
  if (truth_labels.size() > targets->Width()) {
    tprintf("Error: transcription %s too long to fit into target of width %d\n",
            DecodeLabels(truth_labels).string(), targets->Width());
    return false;
  }
  for (int i = 0; i < truth_labels.size() && i < targets->Width(); ++i) {
    targets->SetActivations(i, truth_labels[i], 1.0);
  }
  for (int i = truth_labels.size(); i < targets->Width(); ++i) {
    targets->SetActivations(i, null_char_, 1.0);
  }
  return true;
}

// Builds a target using standard CTC. truth_labels should be pre-padded with
// nulls wherever desired. They don't have to be between all labels.
// outputs is input-output, as it gets clipped to minimum probability.
bool LSTMTrainer::ComputeCTCTargets(const GenericVector<int>& truth_labels,
                                    NetworkIO* outputs, NetworkIO* targets) {
  // Bottom-clip outputs to a minimum probability.
  CTC::NormalizeProbs(outputs);
  return CTC::ComputeCTCTargets(truth_labels, null_char_,
                                outputs->float_array(), targets);
}

// Computes network errors, and stores the results in the rolling buffers,
// along with the supplied text_error.
// Returns the delta error of the current sample (not running average.)
double LSTMTrainer::ComputeErrorRates(const NetworkIO& deltas,
                                      double char_error, double word_error) {
  UpdateErrorBuffer(ComputeRMSError(deltas), ET_RMS);
  // Delta error is the fraction of timesteps with >0.5 error in the top choice
  // score. If zero, then the top choice characters are guaranteed correct,
  // even when there is residue in the RMS error.
  double delta_error = ComputeWinnerError(deltas);
  UpdateErrorBuffer(delta_error, ET_DELTA);
  UpdateErrorBuffer(word_error, ET_WORD_RECERR);
  UpdateErrorBuffer(char_error, ET_CHAR_ERROR);
  // Skip ratio measures the difference between sample_iteration_ and
  // training_iteration_, which reflects the number of unusable samples,
  // usually due to unencodable truth text, or the text not fitting in the
  // space for the output.
  double skip_count = sample_iteration_ - prev_sample_iteration_;
  UpdateErrorBuffer(skip_count, ET_SKIP_RATIO);
  return delta_error;
}

// Computes the network activation RMS error rate.
double LSTMTrainer::ComputeRMSError(const NetworkIO& deltas) {
  double total_error = 0.0;
  int width = deltas.Width();
  int num_classes = deltas.NumFeatures();
  for (int t = 0; t < width; ++t) {
    const float* class_errs = deltas.f(t);
    for (int c = 0; c < num_classes; ++c) {
      double error = class_errs[c];
      total_error += error * error;
    }
  }
  return sqrt(total_error / (width * num_classes));
}

// Computes network activation winner error rate. (Number of values that are
// in error by >= 0.5 divided by number of time-steps.) More closely related
// to final character error than RMS, but still directly calculable from
// just the deltas. Because of the binary nature of the targets, zero winner
// error is a sufficient but not necessary condition for zero char error.
double LSTMTrainer::ComputeWinnerError(const NetworkIO& deltas) {
  int num_errors = 0;
  int width = deltas.Width();
  int num_classes = deltas.NumFeatures();
  for (int t = 0; t < width; ++t) {
    const float* class_errs = deltas.f(t);
    for (int c = 0; c < num_classes; ++c) {
      float abs_delta = fabs(class_errs[c]);
      // TODO(rays) Filtering cases where the delta is very large to cut out
      // GT errors doesn't work. Find a better way or get better truth.
      if (0.5 <= abs_delta)
        ++num_errors;
    }
  }
  return static_cast<double>(num_errors) / width;
}

// Computes a very simple bag of chars char error rate.
double LSTMTrainer::ComputeCharError(const GenericVector<int>& truth_str,
                                     const GenericVector<int>& ocr_str) {
  GenericVector<int> label_counts;
  label_counts.init_to_size(NumOutputs(), 0);
  int truth_size = 0;
  for (int i = 0; i < truth_str.size(); ++i) {
    if (truth_str[i] != null_char_) {
      ++label_counts[truth_str[i]];
      ++truth_size;
    }
  }
  for (int i = 0; i < ocr_str.size(); ++i) {
    if (ocr_str[i] != null_char_) {
      --label_counts[ocr_str[i]];
    }
  }
  int char_errors = 0;
  for (int i = 0; i < label_counts.size(); ++i) {
    char_errors += abs(label_counts[i]);
  }
  if (truth_size == 0) {
    return (char_errors == 0) ? 0.0 : 1.0;
  }
  return static_cast<double>(char_errors) / truth_size;
}

// Computes word recall error rate using a very simple bag of words algorithm.
// NOTE that this is destructive on both input strings.
double LSTMTrainer::ComputeWordError(STRING* truth_str, STRING* ocr_str) {
  typedef std::unordered_map<std::string, int, std::hash<std::string> > StrMap;
  GenericVector<STRING> truth_words, ocr_words;
  truth_str->split(' ', &truth_words);
  if (truth_words.empty()) return 0.0;
  ocr_str->split(' ', &ocr_words);
  StrMap word_counts;
  for (int i = 0; i < truth_words.size(); ++i) {
    std::string truth_word(truth_words[i].string());
    StrMap::iterator it = word_counts.find(truth_word);
    if (it == word_counts.end())
      word_counts.insert(std::make_pair(truth_word, 1));
    else
      ++it->second;
  }
  for (int i = 0; i < ocr_words.size(); ++i) {
    std::string ocr_word(ocr_words[i].string());
    StrMap::iterator it = word_counts.find(ocr_word);
    if (it == word_counts.end())
      word_counts.insert(std::make_pair(ocr_word, -1));
    else
      --it->second;
  }
  int word_recall_errs = 0;
  for (StrMap::const_iterator it = word_counts.begin(); it != word_counts.end();
       ++it) {
    if (it->second > 0) word_recall_errs += it->second;
  }
  return static_cast<double>(word_recall_errs) / truth_words.size();
}

// Updates the error buffer and corresponding mean of the given type with
// the new_error.
void LSTMTrainer::UpdateErrorBuffer(double new_error, ErrorTypes type) {
  int index = training_iteration_ % kRollingBufferSize_;
  error_buffers_[type][index] = new_error;
  // Compute the mean error.
  int mean_count = MIN(training_iteration_ + 1, error_buffers_[type].size());
  double buffer_sum = 0.0;
  for (int i = 0; i < mean_count; ++i) buffer_sum += error_buffers_[type][i];
  double mean = buffer_sum / mean_count;
  // Trim precision to 1/1000 of 1%.
  error_rates_[type] = IntCastRounded(100000.0 * mean) / 1000.0;
}

// Rolls error buffers and reports the current means.
void LSTMTrainer::RollErrorBuffers() {
  prev_sample_iteration_ = sample_iteration_;
  if (NewSingleError(ET_DELTA) > 0.0)
    ++learning_iteration_;
  else
    last_perfect_training_iteration_ = training_iteration_;
  ++training_iteration_;
  if (debug_interval_ != 0) {
    tprintf("Mean rms=%g%%, delta=%g%%, train=%g%%(%g%%), skip ratio=%g%%\n",
            error_rates_[ET_RMS], error_rates_[ET_DELTA],
            error_rates_[ET_CHAR_ERROR], error_rates_[ET_WORD_RECERR],
            error_rates_[ET_SKIP_RATIO]);
  }
}

// Given that error_rate is either a new min or max, updates the best/worst
// error rates, and record of progress.
// Tester is an externally supplied callback function that tests on some
// data set with a given model and records the error rates in a graph.
STRING LSTMTrainer::UpdateErrorGraph(int iteration, double error_rate,
                                     const GenericVector<char>& model_data,
                                     TestCallback tester) {
  if (error_rate > best_error_rate_
      && iteration < best_iteration_ + kErrorGraphInterval) {
    // Too soon to record a new point.
    if (tester != NULL)
      return tester->Run(worst_iteration_, NULL, worst_model_data_,
                         CurrentTrainingStage());
    else
      return "";
  }
  STRING result;
  // NOTE: there are 2 asymmetries here:
  // 1. We are computing the global minimum, but the local maximum in between.
  // 2. If the tester returns an empty string, indicating that it is busy,
  //    call it repeatedly on new local maxima to test the previous min, but
  //    not the other way around, as there is little point testing the maxima
  //    between very frequent minima.
  if (error_rate < best_error_rate_) {
    // This is a new (global) minimum.
    if (tester != NULL) {
      result = tester->Run(worst_iteration_, worst_error_rates_,
                           worst_model_data_, CurrentTrainingStage());
      worst_model_data_.truncate(0);
      best_model_data_ = model_data;
    }
    best_error_rate_ = error_rate;
    memcpy(best_error_rates_, error_rates_, sizeof(error_rates_));
    best_iteration_ = iteration;
    best_error_history_.push_back(error_rate);
    best_error_iterations_.push_back(iteration);
    // Compute 2% decay time.
    double two_percent_more = error_rate + 2.0;
    int i;
    for (i = best_error_history_.size() - 1;
         i >= 0 && best_error_history_[i] < two_percent_more; --i) {
    }
    int old_iteration = i >= 0 ? best_error_iterations_[i] : 0;
    improvement_steps_ = iteration - old_iteration;
    tprintf("2 Percent improvement time=%d, best error was %g @ %d\n",
            improvement_steps_, i >= 0 ? best_error_history_[i] : 100.0,
            old_iteration);
  } else if (error_rate > best_error_rate_) {
    // This is a new (local) maximum.
    if (tester != NULL) {
      if (best_model_data_.empty()) {
        // Allow for multiple data points with "worst" error rate.
        result = tester->Run(worst_iteration_, worst_error_rates_,
                             worst_model_data_, CurrentTrainingStage());
      } else {
        result = tester->Run(best_iteration_, best_error_rates_,
                             best_model_data_, CurrentTrainingStage());
      }
      if (result.length() > 0)
        best_model_data_.truncate(0);
      worst_model_data_ = model_data;
    }
  }
  worst_error_rate_ = error_rate;
  memcpy(worst_error_rates_, error_rates_, sizeof(error_rates_));
  worst_iteration_ = iteration;
  return result;
}

}  // namespace tesseract.