From 8eb9853dc8e0ca291729f8d246f26e6e82e733d0 Mon Sep 17 00:00:00 2001 From: Alejandro Saucedo Date: Mon, 31 Aug 2020 22:48:27 +0100 Subject: [PATCH] Added initial advanced example of logistic regression implementation --- README.md | 6 +- docs/images/logistic-regression.jpg | Bin 0 -> 293857 bytes docs/index.rst | 1 + docs/overview/advanced-examples.rst | 223 ++++++++++++++++++++++++++++ test/TestLogisticRegression.cpp | 21 ++- 5 files changed, 244 insertions(+), 7 deletions(-) create mode 100755 docs/images/logistic-regression.jpg create mode 100644 docs/overview/advanced-examples.rst diff --git a/README.md b/README.md index 1796d77c7..8a4e13492 100644 --- a/README.md +++ b/README.md @@ -170,7 +170,11 @@ int main() { } ``` -..and many more - check out the examples section in the documentation for more. +## Advanced Examples + +We cover more advanced examples and applications of Vulkan Kompute, such as machine learning algorithms built on top of Kompute. + +You can find these in the advanced examples documentation section, such as the [logistic regression example](https://axsaucedo.github.io/vulkan-kompute/overview/advanced-examples.html). ## Motivations diff --git a/docs/images/logistic-regression.jpg b/docs/images/logistic-regression.jpg new file mode 100755 index 0000000000000000000000000000000000000000..b11b28d46480e5c5cd91c1c380448136883d8b91 GIT binary patch literal 293857 zcmV)1K+V62P)Px#1ZP1_K>z@;j|==^1poj532;bRa{vGi!vFvd!vV){sAK>D03mcmSad^jWnpw_ zZ*Cw|X>DZyGB7eQIxsjoGch1CGCDFiIxsXOpIsFI0RMPNL_t(|Uc|izfL&G9HvHUP zrq|3Qne^UBAq5B_gx;Gp0YNNSKhH2+I+(+&?m0@`cE zZlAx+hriqZwq!|(Xo}}I@*4&G^m4yw9HiCH57MjR%J7^#{eQ>DLoMW~6ss`$h@j!C3gFKeuWvXLPZ^#)tU%ICKxqoP- zn`f}j9QWFFPTkI@hySadJPm`pRR&2DId+|7rcFC}jcxhs{-Z_ulHjNA9pvUEdqk87 z9VAwtYJZB~M622)J!jiL3K9p)Kaw=~DH;xJqE8!(WMX>Y{5<%$qYe4vDu1U-PO&}z zbN7FwIP_>6)H4<7rR2e{gKZGxstszJXx6DZHb|#F^JbjncS)5Rts}PE$IUcLx6!%( zOo0Dn*I>zW>(GkZ?S{|iv(G`m&t!CG-S_`+mw#Dwt&~+DCg!k?LB?2%WUlsMMU1nJ 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In this section we cover a set of advanced examples including machine learning and data processing applications that showcase the more advanced capabilities of Kompute. + + +Logistic Regression Example +------------------ + +Logistic regression is oftens seen as the hello world in machine learning so we will be using it for our examples. + +.. image:: ../images/logistic-regression.jpg + :width: 300px + +In summary, we have: + +* Vector `X` with input data (with a pair of inputs `Xi` and `Xj`) +* Output `Y` with expected predictions + +With this we will: + +* Optimize the function simplified as `Y = WX + b` +* We'll want our program to learn the parameters `W` and `b` + +Converting to Kompute Terminology +~~~~~~~~~~~~~~~~~~~~~~ + +We will have to convert this into Kompute terminology. + +First specifically around the inputs, we will be using the following: + +* Two vertors for the variable `X`, vector `Xi` and `Xj` +* One vector `Y` for the true predictions +* A vector `W` containing the two input weight values to use for inference +* A vector `B` containing a single input parameter for `b` + +.. code-block:: cpp + :linenos: + + std::vector wInVec = { 0.001, 0.001 }; + std::vector bInVec = { 0 }; + + std::shared_ptr xI{ new kp::Tensor({ 0, 1, 1, 1, 1 })}; + std::shared_ptr xJ{ new kp::Tensor({ 0, 0, 0, 1, 1 })}; + + std::shared_ptr y{ new kp::Tensor({ 0, 0, 0, 1, 1 })}; + + std::shared_ptr wIn{ + new kp::Tensor(wInVec, kp::Tensor::TensorTypes::eStaging)}; + + std::shared_ptr bIn{ + new kp::Tensor(bInVec, kp::Tensor::TensorTypes::eStaging)}; + + +We will have the following output vectors: + +* Two output vectors `Wi` and `Wj` to store all the deltas to perform gradient descent on W +* One output vector `Bout` to store all the deltas to perform gradient descent on B + +.. code-block:: cpp + :linenos: + + std::shared_ptr wOutI{ new kp::Tensor({ 0, 0, 0, 0, 0 })}; + std::shared_ptr wOutJ{ new kp::Tensor({ 0, 0, 0, 0, 0 })}; + + std::shared_ptr bOut{ new kp::Tensor({ 0, 0, 0, 0, 0 })}; + + +Now that we have the inputs and outputs we will be able to use them in the processing. The workflow we will be using is the following: + +1. Create a Sequence to record and submit GPU commands +2. Submit OpCreateTensor to create all the tensors +3. Record the OpAlgo with the Logistic Regresion shader +4. Loop across number of iterations: + 4-a. Submit algo operation on LR shader + 4-b. Re-calculate weights from loss +5. Print output weights and bias + +1. Create a sequence to record and submit GPU commands +~~~~~~~~~~~~~~~~~~~~~~ + +.. code-block:: cpp + :linenos: + + kp::Manager mgr; + + if (std::shared_ptr sq = + mgr.getOrCreateManagedSequence("createTensors").lock()) + { + // ... + +2. Submit OpCreateTensor to create all the tensors +~~~~~~~~~~~~~~~~~~~~~~ + +.. code-block:: cpp + :linenos: + + sq->begin(); + + sq->record(params); + + sq->end(); + sq->eval(); + + +3. Record the OpAlgo with the Logistic Regresion shader +~~~~~~~~~~~~~~~~~~~~~~ + +.. code-block:: cpp + :linenos: + + sq->begin(); + + sq->record>( + params, + true, // Whether to copy output from device + "test/shaders/glsl/test_logistic_regression.comp"); + + sq->end(); + +4. Loop across number of iterations + 4-a. Submit algo operation on LR shader +~~~~~~~~~~~~~~~~~~~~~~ + +.. code-block:: cpp + :linenos: + + // Iterate across all expected iterations + for (size_t i = 0; i < ITERATIONS; i++) + { + sq->eval(); + + + 4-b. Re-calculate weights from loss + +.. code-block:: cpp + :linenos: + + for(size_t j = 0; j < bOut->size(); j++) { + wInVec[0] -= wOutI->data()[j]; + wInVec[1] -= wOutJ->data()[j]; + bInVec[0] -= bOut->data()[j]; + } + wIn->setData(wInVec); + bIn->setData(bInVec); + +5. Print output weights and bias +~~~~~~~~~~~~~~~~~~~~~~ + + +.. code-block:: cpp + :linenos: + + REQUIRE(wIn->data()[0] < 0.01); + REQUIRE(wIn->data()[1] > 1.0); + REQUIRE(bIn->data()[0] < 0.0); + + SPDLOG_DEBUG("Result wIn: {}, bIn: {}", + wIn->data(), bIn->data()); + +Logistic Regression Compute Shader +------------------------ + +Finally you can see the shader used for the logistic regression usecase below: + +.. code-block:: cpp + :linenos: + + #version 450 + + layout (constant_id = 0) const uint M = 0; + + layout (local_size_x = 1) in; + + layout(set = 0, binding = 0) buffer bxi { float xi[]; }; + layout(set = 0, binding = 1) buffer bxj { float xj[]; }; + layout(set = 0, binding = 2) buffer by { float y[]; }; + layout(set = 0, binding = 3) buffer bwin { float win[]; }; + layout(set = 0, binding = 4) buffer bwouti { float wouti[]; }; + layout(set = 0, binding = 5) buffer bwoutj { float woutj[]; }; + layout(set = 0, binding = 6) buffer bbin { float bin[]; }; + layout(set = 0, binding = 7) buffer bbout { float bout[]; }; + + float learningRate = 0.1; + float m = float(M); + + float sigmoid(float z) { + return 1.0 / (1.0 + exp(-z)); + } + + float inference(vec2 x, vec2 w, float b) { + float z = dot(w, x) + b; + float yHat = sigmoid(z); + return yHat; + } + + float calculateLoss(float yHat, float y) { + return -(y * log(yHat) + (1.0 - y) * log(1.0 - yHat)); + } + + void main() { + uint idx = gl_GlobalInvocationID.x; + + vec2 wCurr = vec2(win[0], win[1]); + float bCurr = bin[0]; + + vec2 xCurr = vec2(xi[idx], xj[idx]); + float yCurr = y[idx]; + + float yHat = inference(xCurr, wCurr, bCurr); + float loss = calculateLoss(yHat, yCurr); + + float dZ = yHat - yCurr; + vec2 dW = (1. / m) * xCurr * dZ; + float dB = (1. / m) * dZ; + wouti[idx] = learningRate * dW.x; + woutj[idx] = learningRate * dW.y; + bout[idx] = learningRate * dB; + } + + + + diff --git a/test/TestLogisticRegression.cpp b/test/TestLogisticRegression.cpp index e2d3aa5c0..f87edacd6 100644 --- a/test/TestLogisticRegression.cpp +++ b/test/TestLogisticRegression.cpp @@ -33,20 +33,26 @@ TEST_CASE("test_logistic_regression") { kp::Manager mgr; if (std::shared_ptr sq = - mgr.getOrCreateManagedSequence("testSq").lock()) { + mgr.getOrCreateManagedSequence("createTensors").lock()) { + sq->begin(); sq->record(params); - sq->record>( - params, - true, // Whether to copy output from device - "test/shaders/glsl/test_logistic_regression.comp"); - sq->end(); + sq->eval(); // Iterate across all expected iterations for (size_t i = 0; i < ITERATIONS; i++) { + sq->begin(); + + sq->record>( + params, + true, // Whether to copy output from device + "test/shaders/glsl/test_logistic_regression.comp"); + + sq->end(); + sq->eval(); // TODO: Reference of data instead of full value copy every time @@ -75,4 +81,7 @@ TEST_CASE("test_logistic_regression") { REQUIRE(wIn->data()[0] < 0.01); REQUIRE(wIn->data()[1] > 1.0); REQUIRE(bIn->data()[0] < 0.0); + + SPDLOG_DEBUG("Result wIn: {}, bIn: {}", + wIn->data(), bIn->data()); }