用于点积的更高效的Tensorflow Matmul（需要较低的三角形结果）

Question

我想知道是否有可能提高 X.T X.其中X的形状为（N，M），即

class registerHelper extends dbHelper {

  // properties
  private $contentTypeForResponse;
  private $connection;
  private $tableMapper;

  // constructor
  public function __construct($contentTypeForResponse) {
    $this->contentTypeForResponse = $contentTypeForResponse;
    $this->connection = $this->getConnection($contentTypeForResponse);
    $this->tableMapper = array(
        "id" => REG_ID,
        "firstName" => REG_FNAME,
        "lastName" => REG_LNAME,
        "email" => REG_EMAIL,
        "password" => REG_PSW,
        "gender" => REG_GENDER,
        "mobileNumber" => REG_MOBILE_NUM,
        "avatar" => REG_AVATAR_URL,
        "createdAt" => REG_CREATED_AT,
        "updatedAt" => REG_UPDATED_AT,
        "mobileVerified" => REG_IS_MOB_VERIFY,
        "emailVerified" => REG_IS_EMAIL_VERIFY,
        "dob" => REG_DOB
    );
  }

  public function updateReg($requestMethod) {
    if ($requestMethod !== "POST") {
      $this->showError($this->contentTypeForResponse, "Request method should be POST.");
    }

    $postArray = $_POST;     // in case for form data or url encoded data
    // $postArray = $this->jsonValidate($this->contentTypeForResponse, file_get_contents('php://input'));
    if (empty($postArray)) {
      $this->showError($this->contentTypeForResponse, "Parameters are missing.");
    }

    $queryParam = array();
    $queryParam["id"] = isset($postArray["id"]) ? $postArray["id"] : $this->showError($this->contentTypeForResponse, "key 'id' missing.");

    // check here whether user already exists or not
    $this->isIdExists($queryParam["id"]);

    $queryParam["avatar"] = isset($_FILES["avatar"]) ? $this->uploadImage($this->contentTypeForResponse, $_FILES["avatar"]) : null;
    $queryParam["password"] = isset($postArray["password"]) ? $postArray["password"] : null;
    $queryParam["firstName"] = isset($postArray["firstName"]) ? $postArray["firstName"] : null;
    $queryParam["lastName"] = isset($postArray["lastName"]) ? $postArray["lastName"] : null;
    $queryParam["gender"] = isset($postArray["gender"]) ? $postArray["gender"] : null;
    $queryParam["mobileNumber"] = isset($postArray["mobileNumber"]) ? $postArray["mobileNumber"] : null;
    $queryParam["dob"] = isset($postArray["dob"]) ? $postArray["dob"] : null;
    $queryParam["updatedAt"] = $this->getDateTime("UTC", "UTC", DateTime::ATOM, $this->contentTypeForResponse);
    $queryParam["emailVerified"] = isset($postArray["emailVerified"]) ? $postArray["emailVerified"] : null;
    $queryParam["mobileVerified"] = isset($postArray["mobileVerified"]) ? $postArray["mobileVerified"] : null;

    $query = "UPDATE " . TABLE_REG . " SET ";
    foreach ($queryParam as $key => $value) {
      if ($key === "id" || is_null($value)) {
        continue;
      }
      $query .= $this->tableMapper[$key] . " = :" . $key . ", ";
    }
    $query = rtrim($query, ", ") . " WHERE "
            . REG_ID . " = :id"; // . " AND " // uncomment for more filters

    $stmt = $this->connection->prepare($query);
    foreach ($queryParam as $key => $value) {
      if (is_null($value)) {
        continue;
      }
      $stmt->bindParam(":" . $key, $queryParam[$key]);
    }
    $success = $stmt->execute();

    if ($success === FALSE) {
      $this->connection = null;
      $this->showError($this->contentTypeForResponse, "Profile updation failed. Please try again.");
    }

    $this->connection = null;

    $result = array(
        "title" => "Success!",
        "message" => "Profile updated successfully."
    );
    $this->showSuccess($this->contentTypeForResponse, "EDIT PROFILE", $result);
  }

  private function isIdExists($id) {
    $stmt = $this->connection->prepare("SELECT " . REG_EMAIL . " FROM " . TABLE_REG . " WHERE "
            . REG_ID . " = :id");
    $stmt->bindParam(":id", $id);
    $success = $stmt->execute();

    if ($success === FALSE) {
      $this->connection = null;
      $this->showError($this->contentTypeForResponse, "Failed at User ID exists check. Please try again.");
    }

    // $this->connection = null;
    // set the resulting array to associative
    $result = $stmt->fetchAll(PDO::FETCH_ASSOC);
    if (empty($result) === TRUE) {
      $this->connection = null;
      $this->showError($this->contentTypeForResponse, "Specified 'id' not found in users table. Please provide correct ID.");
    }
  }
}

使用https://www.tensorflow.org/api_docs/python/tf/linalg/LinearOperatorLowerTriangular

但是我不确定如何将其应用于此问题

形状为（M，M）的结果显然是对称的，上三角部分只是下三角的转置。

使用tensorflow是否有可能以任何直接的方式实现？

欢呼！