[SYCL] Optimize gradients calculations. (#10325)

---------

Co-authored-by: Dmitry Razdoburdin <>
This commit is contained in:
Dmitry Razdoburdin 2024-06-08 05:53:23 +02:00 committed by GitHub
parent c9f5fcaf21
commit 0c44067736
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3 changed files with 382 additions and 87 deletions

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@ -0,0 +1,240 @@
/**
* Copyright 2021-2024, XGBoost Contributors
* \file linalg_op.h
*/
#ifndef PLUGIN_SYCL_COMMON_LINALG_OP_H_
#define PLUGIN_SYCL_COMMON_LINALG_OP_H_
#include <vector>
#include <utility>
#include "../data.h"
#include <CL/sycl.hpp>
namespace xgboost {
namespace sycl {
namespace linalg {
struct WorkGroupsParams {
size_t n_workgroups;
size_t workgroup_size;
};
template <typename Fn>
::sycl::event GroupWiseKernel(::sycl::queue* qu, int* flag_ptr,
const std::vector<::sycl::event>& events,
const WorkGroupsParams& wg, Fn &&fn) {
::sycl::buffer<int, 1> flag_buf(flag_ptr, 1);
auto event = qu->submit([&](::sycl::handler& cgh) {
cgh.depends_on(events);
auto flag = flag_buf.get_access<::sycl::access::mode::write>(cgh);
cgh.parallel_for_work_group<>(::sycl::range<1>(wg.n_workgroups),
::sycl::range<1>(wg.workgroup_size),
[=](::sycl::group<1> group) {
group.parallel_for_work_item([&](::sycl::h_item<1> item) {
const size_t idx = item.get_global_id()[0];
fn(idx, flag);
});
});
});
return event;
}
struct Argument {
template <typename T>
operator T&&() const;
};
template <typename Fn, typename Is, typename = void>
struct ArgumentsPassedImpl
: std::false_type {};
template <typename Fn, size_t ...Is>
struct ArgumentsPassedImpl<Fn, std::index_sequence<Is...>,
decltype(std::declval<Fn>()(((void)Is, Argument{})...), void())>
: std::true_type {};
template <typename Fn, size_t N>
struct ArgumentsPassed : ArgumentsPassedImpl<Fn, std::make_index_sequence<N>> {};
template <typename OutputDType, typename InputDType,
size_t BatchSize, size_t MaxNumInputs>
class BatchProcessingHelper {
public:
static constexpr size_t kBatchSize = BatchSize;
using InputType = HostDeviceVector<InputDType>;
using OutputType = HostDeviceVector<OutputDType>;
private:
template <size_t NumInput = 0>
void Host2Buffers(InputDType* in_buffer_ptr, const InputType& input) {
/*
* Some inputs may have less than 1 sample per output symbol.
*/
const size_t sub_sample_rate = ndata_ * sample_rates_[NumInput+1] / input.Size();
const size_t n_samples = batch_size_ * sample_rates_[NumInput+1] / sub_sample_rate;
const InputDType* in_host_ptr = input.HostPointer() +
batch_begin_ * sample_rates_[NumInput+1] / sub_sample_rate;
events_[NumInput] =
qu_->memcpy(in_buffer_ptr, in_host_ptr, n_samples * sizeof(InputDType),
events_[MaxNumInputs - 2]);
}
template <size_t NumInput = 0, class... InputTypes>
void Host2Buffers(InputDType* in_buffer_ptr, const InputType& input,
const InputTypes&... other_inputs) {
// Make copy for the first input in the list
Host2Buffers<NumInput>(in_buffer_ptr, input);
// Recurent call for next inputs
InputDType* next_input = in_buffer_.Data() + in_buff_offsets_[NumInput + 1];
Host2Buffers<NumInput+1>(next_input, other_inputs...);
}
void Buffers2Host(OutputType* output) {
const size_t n_samples = batch_size_ * sample_rates_[0];
OutputDType* out_host_ptr = output->HostPointer() + batch_begin_* sample_rates_[0];
events_[MaxNumInputs - 1] =
qu_->memcpy(out_host_ptr, out_buffer_.DataConst(), n_samples * sizeof(OutputDType),
events_[MaxNumInputs - 2]);
}
void Buffers2Host(InputType* output) {
const size_t n_samples = batch_size_ * sample_rates_[1];
InputDType* out_host_ptr = output->HostPointer() + batch_begin_* sample_rates_[1];
events_[MaxNumInputs - 1] =
qu_->memcpy(out_host_ptr, in_buffer_.DataConst(), n_samples * sizeof(InputDType),
events_[MaxNumInputs - 2]);
}
template <size_t NumInputs = 1, typename Fn, class... InputTypes>
void Call(Fn &&fn, const InputDType* input, const InputTypes*... other_inputs) {
static_assert(NumInputs <= MaxNumInputs,
"To many arguments in the passed function");
/* Passed lambda may have less inputs than MaxNumInputs,
* need to pass only requared number of arguments
*/
// 1 for events, 1 for batch_size, 1 for output
if constexpr (ArgumentsPassed<Fn, NumInputs + 1 + 1 + 1>::value) {
events_[MaxNumInputs - 2] = fn(events_, batch_size_,
out_buffer_.Data(), input, other_inputs...);
} else {
const InputDType* next_input = in_buffer_.DataConst() +
in_buff_offsets_[MaxNumInputs - 1 - NumInputs];
Call<NumInputs+1>(std::forward<Fn>(fn), next_input, input, other_inputs...);
}
}
template <size_t NumInputs = 1, typename Fn, class... InputTypes>
void Call(Fn &&fn, InputDType* io, const InputDType* input, const InputTypes*... other_inputs) {
static_assert(NumInputs <= MaxNumInputs,
"To many arguments in the passed function");
if constexpr (ArgumentsPassed<Fn, NumInputs + 1 + 1>::value) {
events_[MaxNumInputs - 2] = fn(events_, batch_size_,
io, input, other_inputs...);
} else {
const InputDType* next_input = in_buffer_.DataConst() +
in_buff_offsets_[MaxNumInputs - NumInputs];
Call<NumInputs+1>(std::forward<Fn>(fn), io, next_input, input, other_inputs...);
}
}
template <size_t NumInputs = 1, typename Fn>
void Call(Fn &&fn, InputDType* io) {
static_assert(NumInputs <= MaxNumInputs,
"To many arguments in the passed function");
if constexpr (ArgumentsPassed<Fn, NumInputs + 1 + 1>::value) {
events_[MaxNumInputs - 2] = fn(events_, batch_size_, io);
} else {
const InputDType* next_input = in_buffer_.DataConst() +
in_buff_offsets_[MaxNumInputs - 1];
Call<NumInputs+1>(std::forward<Fn>(fn), io, next_input);
}
}
public:
BatchProcessingHelper() = default;
// The first element of sample_rate always corresonds to output sample rate
void InitBuffers(::sycl::queue* qu, const std::vector<int>& sample_rate) {
assert(sample_rate.size() == MaxNumInputs + 1);
sample_rates_ = sample_rate;
qu_ = qu;
events_.resize(MaxNumInputs + 2);
out_buffer_.Resize(qu, kBatchSize * sample_rate.front());
in_buff_offsets_[0] = 0;
for (size_t i = 1; i < MaxNumInputs; ++i) {
in_buff_offsets_[i] = in_buff_offsets_[i - 1] + kBatchSize * sample_rate[i];
}
const size_t in_buff_size = in_buff_offsets_.back() + kBatchSize * sample_rate.back();
in_buffer_.Resize(qu, in_buff_size);
}
/*
* Batch-wise proces on sycl device
* output = fn(inputs)
*/
template <typename Fn, class... InputTypes>
void Calculate(Fn &&fn, OutputType* output, const InputTypes&... inputs) {
ndata_ = output->Size() / sample_rates_.front();
const size_t nBatch = ndata_ / kBatchSize + (ndata_ % kBatchSize > 0);
for (size_t batch = 0; batch < nBatch; ++batch) {
batch_begin_ = batch * kBatchSize;
batch_end_ = (batch == nBatch - 1) ? ndata_ : batch_begin_ + kBatchSize;
batch_size_ = batch_end_ - batch_begin_;
// Iteratively copy all inputs to device buffers
Host2Buffers(in_buffer_.Data(), inputs...);
// Pack buffers and call function
// We shift input pointer to keep the same order of inputs after packing
Call(std::forward<Fn>(fn), in_buffer_.DataConst() + in_buff_offsets_.back());
// Copy results to host
Buffers2Host(output);
}
}
/*
* Batch-wise proces on sycl device
* input = fn(input, other_inputs)
*/
template <typename Fn, class... InputTypes>
void Calculate(Fn &&fn, InputType* input, const InputTypes&... other_inputs) {
ndata_ = input->Size();
const size_t nBatch = ndata_ / kBatchSize + (ndata_ % kBatchSize > 0);
for (size_t batch = 0; batch < nBatch; ++batch) {
batch_begin_ = batch * kBatchSize;
batch_end_ = (batch == nBatch - 1) ? ndata_ : batch_begin_ + kBatchSize;
batch_size_ = batch_end_ - batch_begin_;
// Iteratively copy all inputs to device buffers.
// inputs are pased by const reference
Host2Buffers(in_buffer_.Data(), *(input), other_inputs...);
// Pack buffers and call function
// We shift input pointer to keep the same order of inputs after packing
Call(std::forward<Fn>(fn), in_buffer_.Data());
// Copy results to host
Buffers2Host(input);
}
}
private:
std::array<int, MaxNumInputs> in_buff_offsets_;
std::vector<int> sample_rates_;
size_t ndata_;
size_t batch_begin_;
size_t batch_end_;
// is not equal to kBatchSize for the last batch
size_t batch_size_;
::sycl::queue* qu_;
std::vector<::sycl::event> events_;
USMVector<InputDType, MemoryType::on_device> in_buffer_;
USMVector<OutputDType, MemoryType::on_device> out_buffer_;
};
} // namespace linalg
} // namespace sycl
} // namespace xgboost
#endif // PLUGIN_SYCL_COMMON_LINALG_OP_H_

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@ -22,7 +22,10 @@
#include "../../../src/objective/multiclass_param.h" #include "../../../src/objective/multiclass_param.h"
#include "../common/linalg_op.h"
#include "../device_manager.h" #include "../device_manager.h"
#include "../data.h"
#include <CL/sycl.hpp> #include <CL/sycl.hpp>
namespace xgboost { namespace xgboost {
@ -32,6 +35,15 @@ namespace obj {
DMLC_REGISTRY_FILE_TAG(multiclass_obj_sycl); DMLC_REGISTRY_FILE_TAG(multiclass_obj_sycl);
class SoftmaxMultiClassObj : public ObjFunction { class SoftmaxMultiClassObj : public ObjFunction {
mutable bool are_buffs_init = false;
void InitBuffers(const std::vector<int>& sample_rate) const {
if (!are_buffs_init) {
batch_processor_.InitBuffers(&qu_, sample_rate);
are_buffs_init = true;
}
}
public: public:
explicit SoftmaxMultiClassObj(bool output_prob) explicit SoftmaxMultiClassObj(bool output_prob)
: output_prob_(output_prob) {} : output_prob_(output_prob) {}
@ -44,7 +56,7 @@ class SoftmaxMultiClassObj : public ObjFunction {
void GetGradient(const HostDeviceVector<bst_float>& preds, void GetGradient(const HostDeviceVector<bst_float>& preds,
const MetaInfo& info, const MetaInfo& info,
int iter, int iter,
linalg::Matrix<GradientPair>* out_gpair) override { xgboost::linalg::Matrix<GradientPair>* out_gpair) override {
if (preds.Size() == 0) return; if (preds.Size() == 0) return;
if (info.labels.Size() == 0) return; if (info.labels.Size() == 0) return;
@ -66,54 +78,68 @@ class SoftmaxMultiClassObj : public ObjFunction {
<< "Number of weights should be equal to number of data points."; << "Number of weights should be equal to number of data points.";
} }
::sycl::buffer<bst_float, 1> preds_buf(preds.HostPointer(), preds.Size());
::sycl::buffer<bst_float, 1> labels_buf(info.labels.Data()->HostPointer(), info.labels.Size());
::sycl::buffer<GradientPair, 1> out_gpair_buf(out_gpair->Data()->HostPointer(),
out_gpair->Size());
::sycl::buffer<bst_float, 1> weights_buf(is_null_weight ? NULL : info.weights_.HostPointer(),
is_null_weight ? 1 : info.weights_.Size());
int flag = 1; int flag = 1;
{ auto objective_fn = [=, &flag]
::sycl::buffer<int, 1> flag_buf(&flag, 1); (const std::vector<::sycl::event>& events,
qu_.submit([&](::sycl::handler& cgh) { size_t ndata,
auto preds_acc = preds_buf.get_access<::sycl::access::mode::read>(cgh); GradientPair* out_gpair,
auto labels_acc = labels_buf.get_access<::sycl::access::mode::read>(cgh); const bst_float* preds,
auto weights_acc = weights_buf.get_access<::sycl::access::mode::read>(cgh); const bst_float* labels,
auto out_gpair_acc = out_gpair_buf.get_access<::sycl::access::mode::write>(cgh); const bst_float* weights) {
auto flag_buf_acc = flag_buf.get_access<::sycl::access::mode::write>(cgh); const size_t wg_size = 32;
cgh.parallel_for<>(::sycl::range<1>(ndata), [=](::sycl::id<1> pid) { const size_t nwgs = ndata / wg_size + (ndata % wg_size > 0);
int idx = pid[0]; return linalg::GroupWiseKernel(&qu_, &flag, events, {nwgs, wg_size},
[=] (size_t idx, auto flag) {
bst_float const * point = &preds_acc[idx * nclass]; const bst_float* pred = preds + idx * nclass;
// Part of Softmax function // Part of Softmax function
bst_float wmax = std::numeric_limits<bst_float>::min(); bst_float wmax = std::numeric_limits<bst_float>::min();
for (int k = 0; k < nclass; k++) { wmax = ::sycl::max(point[k], wmax); } for (int k = 0; k < nclass; k++) { wmax = ::sycl::max(pred[k], wmax); }
float wsum = 0.0f; bst_float wsum = 0.0f;
for (int k = 0; k < nclass; k++) { wsum += ::sycl::exp(point[k] - wmax); } for (int k = 0; k < nclass; k++) { wsum += ::sycl::exp(pred[k] - wmax); }
auto label = labels_acc[idx]; bst_float label = labels[idx];
if (label < 0 || label >= nclass) { if (label < 0 || label >= nclass) {
flag_buf_acc[0] = 0; AtomicRef<int> flag_ref(flag[0]);
flag_ref = 0;
label = 0; label = 0;
} }
bst_float wt = is_null_weight ? 1.0f : weights_acc[idx];
bst_float wt = is_null_weight ? 1.0f : weights[idx];
for (int k = 0; k < nclass; ++k) { for (int k = 0; k < nclass; ++k) {
bst_float p = expf(point[k] - wmax) / static_cast<float>(wsum); bst_float p = expf(pred[k] - wmax) / static_cast<float>(wsum);
const float eps = 1e-16f; const float eps = 1e-16f;
const bst_float h = ::sycl::max(2.0f * p * (1.0f - p) * wt, eps); const bst_float h = ::sycl::max(2.0f * p * (1.0f - p) * wt, eps);
p = label == k ? p - 1.0f : p; p = label == k ? p - 1.0f : p;
out_gpair_acc[idx * nclass + k] = GradientPair(p * wt, h); out_gpair[idx * nclass + k] = GradientPair(p * wt, h);
} }
}); });
}).wait(); };
// out_gpair and preds have nclass points per sample
// labels and weights have 1 points per sample
InitBuffers({nclass, nclass, 1, 1});
if (is_null_weight) {
// Output is passed by pointer
// Inputs are passed by const reference
batch_processor_.Calculate(std::move(objective_fn),
out_gpair->Data(),
preds,
*(info.labels.Data()));
} else {
batch_processor_.Calculate(std::move(objective_fn),
out_gpair->Data(),
preds,
*(info.labels.Data()),
info.weights_);
} }
// flag_buf is destroyed, content is copyed to the "flag" qu_.wait_and_throw();
if (flag == 0) { if (flag == 0) {
LOG(FATAL) << "SYCL::SoftmaxMultiClassObj: label must be in [0, num_class)."; LOG(FATAL) << "SYCL::SoftmaxMultiClassObj: label must be in [0, num_class).";
} }
} }
void PredTransform(HostDeviceVector<bst_float>* io_preds) const override { void PredTransform(HostDeviceVector<bst_float>* io_preds) const override {
this->Transform(io_preds, output_prob_); this->Transform(io_preds, output_prob_);
} }
@ -190,6 +216,8 @@ class SoftmaxMultiClassObj : public ObjFunction {
sycl::DeviceManager device_manager; sycl::DeviceManager device_manager;
mutable ::sycl::queue qu_; mutable ::sycl::queue qu_;
static constexpr size_t kBatchSize = 1u << 22;
mutable linalg::BatchProcessingHelper<GradientPair, bst_float, kBatchSize, 3> batch_processor_;
}; };
XGBOOST_REGISTER_OBJECTIVE(SoftmaxMultiClass, "multi:softmax_sycl") XGBOOST_REGISTER_OBJECTIVE(SoftmaxMultiClass, "multi:softmax_sycl")

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@ -27,7 +27,10 @@
#pragma GCC diagnostic pop #pragma GCC diagnostic pop
#include "../../../src/objective/regression_param.h" #include "../../../src/objective/regression_param.h"
#include "../common/linalg_op.h"
#include "../device_manager.h" #include "../device_manager.h"
#include "../data.h"
#include <CL/sycl.hpp> #include <CL/sycl.hpp>
@ -41,6 +44,14 @@ template<typename Loss>
class RegLossObj : public ObjFunction { class RegLossObj : public ObjFunction {
protected: protected:
HostDeviceVector<int> label_correct_; HostDeviceVector<int> label_correct_;
mutable bool are_buffs_init = false;
void InitBuffers() const {
if (!are_buffs_init) {
batch_processor_.InitBuffers(&qu_, {1, 1, 1, 1});
are_buffs_init = true;
}
}
public: public:
RegLossObj() = default; RegLossObj() = default;
@ -53,7 +64,7 @@ class RegLossObj : public ObjFunction {
void GetGradient(const HostDeviceVector<bst_float>& preds, void GetGradient(const HostDeviceVector<bst_float>& preds,
const MetaInfo &info, const MetaInfo &info,
int iter, int iter,
linalg::Matrix<GradientPair>* out_gpair) override { xgboost::linalg::Matrix<GradientPair>* out_gpair) override {
if (info.labels.Size() == 0) return; if (info.labels.Size() == 0) return;
CHECK_EQ(preds.Size(), info.labels.Size()) CHECK_EQ(preds.Size(), info.labels.Size())
<< " " << "labels are not correctly provided" << " " << "labels are not correctly provided"
@ -70,13 +81,6 @@ class RegLossObj : public ObjFunction {
bool is_null_weight = info.weights_.Size() == 0; bool is_null_weight = info.weights_.Size() == 0;
::sycl::buffer<bst_float, 1> preds_buf(preds.HostPointer(), preds.Size());
::sycl::buffer<bst_float, 1> labels_buf(info.labels.Data()->HostPointer(), info.labels.Size());
::sycl::buffer<GradientPair, 1> out_gpair_buf(out_gpair->Data()->HostPointer(),
out_gpair->Size());
::sycl::buffer<bst_float, 1> weights_buf(is_null_weight ? NULL : info.weights_.HostPointer(),
is_null_weight ? 1 : info.weights_.Size());
auto scale_pos_weight = param_.scale_pos_weight; auto scale_pos_weight = param_.scale_pos_weight;
if (!is_null_weight) { if (!is_null_weight) {
CHECK_EQ(info.weights_.Size(), info.labels.Shape(0)) CHECK_EQ(info.weights_.Size(), info.labels.Shape(0))
@ -84,32 +88,48 @@ class RegLossObj : public ObjFunction {
} }
int flag = 1; int flag = 1;
{ auto objective_fn = [=, &flag]
::sycl::buffer<int, 1> flag_buf(&flag, 1); (const std::vector<::sycl::event>& events,
qu_.submit([&](::sycl::handler& cgh) { size_t ndata,
auto preds_acc = preds_buf.get_access<::sycl::access::mode::read>(cgh); GradientPair* out_gpair,
auto labels_acc = labels_buf.get_access<::sycl::access::mode::read>(cgh); const bst_float* preds,
auto weights_acc = weights_buf.get_access<::sycl::access::mode::read>(cgh); const bst_float* labels,
auto out_gpair_acc = out_gpair_buf.get_access<::sycl::access::mode::write>(cgh); const bst_float* weights) {
auto flag_buf_acc = flag_buf.get_access<::sycl::access::mode::write>(cgh); const size_t wg_size = 32;
cgh.parallel_for<>(::sycl::range<1>(ndata), [=](::sycl::id<1> pid) { const size_t nwgs = ndata / wg_size + (ndata % wg_size > 0);
int idx = pid[0]; return linalg::GroupWiseKernel(&qu_, &flag, events, {nwgs, wg_size},
bst_float p = Loss::PredTransform(preds_acc[idx]); [=] (size_t idx, auto flag) {
bst_float w = is_null_weight ? 1.0f : weights_acc[idx/n_targets]; const bst_float pred = Loss::PredTransform(preds[idx]);
bst_float label = labels_acc[idx]; bst_float weight = is_null_weight ? 1.0f : weights[idx/n_targets];
const bst_float label = labels[idx];
if (label == 1.0f) { if (label == 1.0f) {
w *= scale_pos_weight; weight *= scale_pos_weight;
} }
if (!Loss::CheckLabel(label)) { if (!Loss::CheckLabel(label)) {
// If there is an incorrect label, the host code will know. AtomicRef<int> flag_ref(flag[0]);
flag_buf_acc[0] = 0; flag_ref = 0;
} }
out_gpair_acc[idx] = GradientPair(Loss::FirstOrderGradient(p, label) * w, out_gpair[idx] = GradientPair(Loss::FirstOrderGradient(pred, label) * weight,
Loss::SecondOrderGradient(p, label) * w); Loss::SecondOrderGradient(pred, label) * weight);
}); });
}).wait(); };
InitBuffers();
if (is_null_weight) {
// Output is passed by pointer
// Inputs are passed by const reference
batch_processor_.Calculate(std::move(objective_fn),
out_gpair->Data(),
preds,
*(info.labels.Data()));
} else {
batch_processor_.Calculate(std::move(objective_fn),
out_gpair->Data(),
preds,
*(info.labels.Data()),
info.weights_);
} }
// flag_buf is destroyed, content is copyed to the "flag" qu_.wait_and_throw();
if (flag == 0) { if (flag == 0) {
LOG(FATAL) << Loss::LabelErrorMsg(); LOG(FATAL) << Loss::LabelErrorMsg();
@ -121,18 +141,23 @@ class RegLossObj : public ObjFunction {
return Loss::DefaultEvalMetric(); return Loss::DefaultEvalMetric();
} }
void PredTransform(HostDeviceVector<float> *io_preds) const override { void PredTransform(HostDeviceVector<bst_float> *io_preds) const override {
size_t const ndata = io_preds->Size(); size_t const ndata = io_preds->Size();
if (ndata == 0) return; if (ndata == 0) return;
::sycl::buffer<bst_float, 1> io_preds_buf(io_preds->HostPointer(), io_preds->Size()); InitBuffers();
qu_.submit([&](::sycl::handler& cgh) { batch_processor_.Calculate([=] (const std::vector<::sycl::event>& events,
auto io_preds_acc = io_preds_buf.get_access<::sycl::access::mode::read_write>(cgh); size_t ndata,
bst_float* io_preds) {
return qu_.submit([&](::sycl::handler& cgh) {
cgh.depends_on(events);
cgh.parallel_for<>(::sycl::range<1>(ndata), [=](::sycl::id<1> pid) { cgh.parallel_for<>(::sycl::range<1>(ndata), [=](::sycl::id<1> pid) {
int idx = pid[0]; int idx = pid[0];
io_preds_acc[idx] = Loss::PredTransform(io_preds_acc[idx]); io_preds[idx] = Loss::PredTransform(io_preds[idx]);
}); });
}).wait(); });
}, io_preds);
qu_.wait_and_throw();
} }
float ProbToMargin(float base_score) const override { float ProbToMargin(float base_score) const override {
@ -163,6 +188,8 @@ class RegLossObj : public ObjFunction {
sycl::DeviceManager device_manager; sycl::DeviceManager device_manager;
mutable ::sycl::queue qu_; mutable ::sycl::queue qu_;
static constexpr size_t kBatchSize = 1u << 22;
mutable linalg::BatchProcessingHelper<GradientPair, bst_float, kBatchSize, 3> batch_processor_;
}; };
XGBOOST_REGISTER_OBJECTIVE(SquaredLossRegression, XGBOOST_REGISTER_OBJECTIVE(SquaredLossRegression,