| # Copyright 2015 The TensorFlow Authors. All Rights Reserved. |
| # |
| # 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. |
| # ============================================================================== |
| """Operations for generating random numbers.""" |
| |
| from __future__ import absolute_import |
| from __future__ import division |
| from __future__ import print_function |
| |
| import numpy as np |
| |
| from tensorflow.python.framework import dtypes |
| from tensorflow.python.framework import ops |
| from tensorflow.python.framework import random_seed |
| from tensorflow.python.framework import tensor_util |
| from tensorflow.python.ops import array_ops |
| from tensorflow.python.ops import control_flow_ops |
| from tensorflow.python.ops import gen_random_ops |
| from tensorflow.python.ops import math_ops |
| |
| # go/tf-wildcard-import |
| # pylint: disable=wildcard-import |
| from tensorflow.python.ops.gen_random_ops import * |
| # pylint: enable=wildcard-import |
| |
| from tensorflow.python.util import deprecation |
| from tensorflow.python.util.tf_export import tf_export |
| |
| |
| @tf_export("random.normal", v1=["random.normal", "random_normal"]) |
| @deprecation.deprecated_endpoints("random_normal") |
| def random_normal(shape, |
| mean=0.0, |
| stddev=1.0, |
| dtype=dtypes.float32, |
| seed=None, |
| name=None): |
| """Outputs random values from a normal distribution. |
| |
| Args: |
| shape: A 1-D integer Tensor or Python array. The shape of the output tensor. |
| mean: A 0-D Tensor or Python value of type `dtype`. The mean of the normal |
| distribution. |
| stddev: A 0-D Tensor or Python value of type `dtype`. The standard deviation |
| of the normal distribution. |
| dtype: The type of the output. |
| seed: A Python integer. Used to create a random seed for the distribution. |
| See |
| `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: A name for the operation (optional). |
| |
| Returns: |
| A tensor of the specified shape filled with random normal values. |
| """ |
| with ops.name_scope(name, "random_normal", [shape, mean, stddev]) as name: |
| shape_tensor = tensor_util.shape_tensor(shape) |
| mean_tensor = ops.convert_to_tensor(mean, dtype=dtype, name="mean") |
| stddev_tensor = ops.convert_to_tensor(stddev, dtype=dtype, name="stddev") |
| seed1, seed2 = random_seed.get_seed(seed) |
| rnd = gen_random_ops.random_standard_normal( |
| shape_tensor, dtype, seed=seed1, seed2=seed2) |
| mul = rnd * stddev_tensor |
| value = math_ops.add(mul, mean_tensor, name=name) |
| return value |
| |
| |
| ops.NotDifferentiable("RandomStandardNormal") |
| |
| |
| def parameterized_truncated_normal(shape, |
| means=0.0, |
| stddevs=1.0, |
| minvals=-2.0, |
| maxvals=2.0, |
| dtype=dtypes.float32, |
| seed=None, |
| name=None): |
| """Outputs random values from a truncated normal distribution. |
| |
| The generated values follow a normal distribution with specified mean and |
| standard deviation, except that values whose magnitude is more than 2 standard |
| deviations from the mean are dropped and re-picked. |
| |
| Args: |
| shape: A 1-D integer Tensor or Python array. The shape of the output tensor. |
| means: A 0-D Tensor or Python value of type `dtype`. The mean of the |
| truncated normal distribution. |
| stddevs: A 0-D Tensor or Python value of type `dtype`. The standard |
| deviation of the truncated normal distribution. |
| minvals: A 0-D Tensor or Python value of type `dtype`. The minimum value of |
| the truncated normal distribution. |
| maxvals: A 0-D Tensor or Python value of type `dtype`. The maximum value of |
| the truncated normal distribution. |
| dtype: The type of the output. |
| seed: A Python integer. Used to create a random seed for the distribution. |
| See |
| `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: A name for the operation (optional). |
| |
| Returns: |
| A tensor of the specified shape filled with random truncated normal values. |
| """ |
| with ops.name_scope(name, "parameterized_truncated_normal", |
| [shape, means, stddevs, minvals, maxvals]) as name: |
| shape_tensor = tensor_util.shape_tensor(shape) |
| means_tensor = ops.convert_to_tensor(means, dtype=dtype, name="means") |
| stddevs_tensor = ops.convert_to_tensor(stddevs, dtype=dtype, name="stddevs") |
| minvals_tensor = ops.convert_to_tensor(minvals, dtype=dtype, name="minvals") |
| maxvals_tensor = ops.convert_to_tensor(maxvals, dtype=dtype, name="maxvals") |
| seed1, seed2 = random_seed.get_seed(seed) |
| rnd = gen_random_ops.parameterized_truncated_normal( |
| shape_tensor, |
| means_tensor, |
| stddevs_tensor, |
| minvals_tensor, |
| maxvals_tensor, |
| seed=seed1, |
| seed2=seed2) |
| return rnd |
| |
| |
| @tf_export("random.truncated_normal", |
| v1=["random.truncated_normal", "truncated_normal"]) |
| @deprecation.deprecated_endpoints("truncated_normal") |
| def truncated_normal(shape, |
| mean=0.0, |
| stddev=1.0, |
| dtype=dtypes.float32, |
| seed=None, |
| name=None): |
| """Outputs random values from a truncated normal distribution. |
| |
| The generated values follow a normal distribution with specified mean and |
| standard deviation, except that values whose magnitude is more than 2 standard |
| deviations from the mean are dropped and re-picked. |
| |
| Args: |
| shape: A 1-D integer Tensor or Python array. The shape of the output tensor. |
| mean: A 0-D Tensor or Python value of type `dtype`. The mean of the |
| truncated normal distribution. |
| stddev: A 0-D Tensor or Python value of type `dtype`. The standard deviation |
| of the normal distribution, before truncation. |
| dtype: The type of the output. |
| seed: A Python integer. Used to create a random seed for the distribution. |
| See |
| `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: A name for the operation (optional). |
| |
| Returns: |
| A tensor of the specified shape filled with random truncated normal values. |
| """ |
| with ops.name_scope(name, "truncated_normal", [shape, mean, stddev]) as name: |
| shape_tensor = tensor_util.shape_tensor(shape) |
| mean_tensor = ops.convert_to_tensor(mean, dtype=dtype, name="mean") |
| stddev_tensor = ops.convert_to_tensor(stddev, dtype=dtype, name="stddev") |
| seed1, seed2 = random_seed.get_seed(seed) |
| rnd = gen_random_ops.truncated_normal( |
| shape_tensor, dtype, seed=seed1, seed2=seed2) |
| mul = rnd * stddev_tensor |
| value = math_ops.add(mul, mean_tensor, name=name) |
| return value |
| |
| |
| ops.NotDifferentiable("ParameterizedTruncatedNormal") |
| ops.NotDifferentiable("TruncatedNormal") |
| |
| |
| @tf_export("random.uniform", v1=["random.uniform", "random_uniform"]) |
| @deprecation.deprecated_endpoints("random_uniform") |
| def random_uniform(shape, |
| minval=0, |
| maxval=None, |
| dtype=dtypes.float32, |
| seed=None, |
| name=None): |
| """Outputs random values from a uniform distribution. |
| |
| The generated values follow a uniform distribution in the range |
| `[minval, maxval)`. The lower bound `minval` is included in the range, while |
| the upper bound `maxval` is excluded. |
| |
| For floats, the default range is `[0, 1)`. For ints, at least `maxval` must |
| be specified explicitly. |
| |
| In the integer case, the random integers are slightly biased unless |
| `maxval - minval` is an exact power of two. The bias is small for values of |
| `maxval - minval` significantly smaller than the range of the output (either |
| `2**32` or `2**64`). |
| |
| Args: |
| shape: A 1-D integer Tensor or Python array. The shape of the output tensor. |
| minval: A 0-D Tensor or Python value of type `dtype`. The lower bound on the |
| range of random values to generate. Defaults to 0. |
| maxval: A 0-D Tensor or Python value of type `dtype`. The upper bound on |
| the range of random values to generate. Defaults to 1 if `dtype` is |
| floating point. |
| dtype: The type of the output: `float16`, `float32`, `float64`, `int32`, |
| or `int64`. |
| seed: A Python integer. Used to create a random seed for the distribution. |
| See `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: A name for the operation (optional). |
| |
| Returns: |
| A tensor of the specified shape filled with random uniform values. |
| |
| Raises: |
| ValueError: If `dtype` is integral and `maxval` is not specified. |
| """ |
| dtype = dtypes.as_dtype(dtype) |
| if dtype not in (dtypes.float16, dtypes.bfloat16, dtypes.float32, |
| dtypes.float64, dtypes.int32, dtypes.int64): |
| raise ValueError("Invalid dtype %r" % dtype) |
| if maxval is None: |
| if dtype.is_integer: |
| raise ValueError("Must specify maxval for integer dtype %r" % dtype) |
| maxval = 1 |
| with ops.name_scope(name, "random_uniform", [shape, minval, maxval]) as name: |
| shape = tensor_util.shape_tensor(shape) |
| minval = ops.convert_to_tensor(minval, dtype=dtype, name="min") |
| maxval = ops.convert_to_tensor(maxval, dtype=dtype, name="max") |
| seed1, seed2 = random_seed.get_seed(seed) |
| if dtype.is_integer: |
| return gen_random_ops.random_uniform_int( |
| shape, minval, maxval, seed=seed1, seed2=seed2, name=name) |
| else: |
| rnd = gen_random_ops.random_uniform(shape, dtype, seed=seed1, seed2=seed2) |
| return math_ops.add(rnd * (maxval - minval), minval, name=name) |
| |
| |
| ops.NotDifferentiable("RandomUniform") |
| |
| |
| @tf_export("random.shuffle", v1=["random.shuffle", "random_shuffle"]) |
| @deprecation.deprecated_endpoints("random_shuffle") |
| def random_shuffle(value, seed=None, name=None): |
| """Randomly shuffles a tensor along its first dimension. |
| |
| The tensor is shuffled along dimension 0, such that each `value[j]` is mapped |
| to one and only one `output[i]`. For example, a mapping that might occur for a |
| 3x2 tensor is: |
| |
| ```python |
| [[1, 2], [[5, 6], |
| [3, 4], ==> [1, 2], |
| [5, 6]] [3, 4]] |
| ``` |
| |
| Args: |
| value: A Tensor to be shuffled. |
| seed: A Python integer. Used to create a random seed for the distribution. |
| See |
| `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: A name for the operation (optional). |
| |
| Returns: |
| A tensor of same shape and type as `value`, shuffled along its first |
| dimension. |
| """ |
| seed1, seed2 = random_seed.get_seed(seed) |
| return gen_random_ops.random_shuffle( |
| value, seed=seed1, seed2=seed2, name=name) |
| |
| |
| @tf_export("image.random_crop", v1=["image.random_crop", "random_crop"]) |
| @deprecation.deprecated_endpoints("random_crop") |
| def random_crop(value, size, seed=None, name=None): |
| """Randomly crops a tensor to a given size. |
| |
| Slices a shape `size` portion out of `value` at a uniformly chosen offset. |
| Requires `value.shape >= size`. |
| |
| If a dimension should not be cropped, pass the full size of that dimension. |
| For example, RGB images can be cropped with |
| `size = [crop_height, crop_width, 3]`. |
| |
| Args: |
| value: Input tensor to crop. |
| size: 1-D tensor with size the rank of `value`. |
| seed: Python integer. Used to create a random seed. See |
| `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: A name for this operation (optional). |
| |
| Returns: |
| A cropped tensor of the same rank as `value` and shape `size`. |
| """ |
| # TODO(shlens): Implement edge case to guarantee output size dimensions. |
| # If size > value.shape, zero pad the result so that it always has shape |
| # exactly size. |
| with ops.name_scope(name, "random_crop", [value, size]) as name: |
| value = ops.convert_to_tensor(value, name="value") |
| size = ops.convert_to_tensor(size, dtype=dtypes.int32, name="size") |
| shape = array_ops.shape(value) |
| check = control_flow_ops.Assert( |
| math_ops.reduce_all(shape >= size), |
| ["Need value.shape >= size, got ", shape, size], |
| summarize=1000) |
| shape = control_flow_ops.with_dependencies([check], shape) |
| limit = shape - size + 1 |
| offset = random_uniform( |
| array_ops.shape(shape), |
| dtype=size.dtype, |
| maxval=size.dtype.max, |
| seed=seed) % limit |
| return array_ops.slice(value, offset, size, name=name) |
| |
| |
| @tf_export(v1=["random.multinomial", "multinomial"]) |
| @deprecation.deprecated( |
| date=None, instructions="Use `tf.random.categorical` instead.") |
| def multinomial(logits, num_samples, seed=None, name=None, output_dtype=None): |
| """Draws samples from a multinomial distribution. |
| |
| Example: |
| |
| ```python |
| # samples has shape [1, 5], where each value is either 0 or 1 with equal |
| # probability. |
| samples = tf.random.categorical(tf.math.log([[10., 10.]]), 5) |
| ``` |
| |
| Args: |
| logits: 2-D Tensor with shape `[batch_size, num_classes]`. Each slice |
| `[i, :]` represents the unnormalized log-probabilities for all classes. |
| num_samples: 0-D. Number of independent samples to draw for each row slice. |
| seed: A Python integer. Used to create a random seed for the distribution. |
| See `tf.compat.v1.set_random_seed` for behavior. |
| name: Optional name for the operation. |
| output_dtype: integer type to use for the output. Defaults to int64. |
| |
| Returns: |
| The drawn samples of shape `[batch_size, num_samples]`. |
| """ |
| with ops.name_scope(name, "multinomial", [logits]): |
| return multinomial_categorical_impl(logits, num_samples, output_dtype, seed) |
| |
| |
| @tf_export("random.categorical") |
| def categorical(logits, num_samples, dtype=None, seed=None, name=None): |
| """Draws samples from a categorical distribution. |
| |
| Example: |
| |
| ```python |
| # samples has shape [1, 5], where each value is either 0 or 1 with equal |
| # probability. |
| samples = tf.random.categorical(tf.math.log([[10., 10.]]), 5) |
| ``` |
| |
| Args: |
| logits: 2-D Tensor with shape `[batch_size, num_classes]`. Each slice |
| `[i, :]` represents the unnormalized log-probabilities for all classes. |
| num_samples: 0-D. Number of independent samples to draw for each row slice. |
| dtype: integer type to use for the output. Defaults to int64. |
| seed: A Python integer. Used to create a random seed for the distribution. |
| See `tf.compat.v1.set_random_seed` for behavior. |
| name: Optional name for the operation. |
| |
| Returns: |
| The drawn samples of shape `[batch_size, num_samples]`. |
| """ |
| with ops.name_scope(name, "categorical", [logits]): |
| return multinomial_categorical_impl(logits, num_samples, dtype, seed) |
| |
| |
| def multinomial_categorical_impl(logits, num_samples, dtype, seed): |
| """Implementation for random.categorical (v1) and random.categorical (v2).""" |
| logits = ops.convert_to_tensor(logits, name="logits") |
| seed1, seed2 = random_seed.get_seed(seed) |
| return gen_random_ops.multinomial( |
| logits, num_samples, seed=seed1, seed2=seed2, output_dtype=dtype) |
| |
| |
| ops.NotDifferentiable("Multinomial") |
| |
| |
| @tf_export("random.gamma", v1=["random.gamma", "random_gamma"]) |
| @deprecation.deprecated_endpoints("random_gamma") |
| def random_gamma(shape, |
| alpha, |
| beta=None, |
| dtype=dtypes.float32, |
| seed=None, |
| name=None): |
| """Draws `shape` samples from each of the given Gamma distribution(s). |
| |
| `alpha` is the shape parameter describing the distribution(s), and `beta` is |
| the inverse scale parameter(s). |
| |
| Note: Because internal calculations are done using `float64` and casting has |
| `floor` semantics, we must manually map zero outcomes to the smallest |
| possible positive floating-point value, i.e., `np.finfo(dtype).tiny`. This |
| means that `np.finfo(dtype).tiny` occurs more frequently than it otherwise |
| should. This bias can only happen for small values of `alpha`, i.e., |
| `alpha << 1` or large values of `beta`, i.e., `beta >> 1`. |
| |
| The samples are differentiable w.r.t. alpha and beta. |
| The derivatives are computed using the approach described in the paper |
| |
| [Michael Figurnov, Shakir Mohamed, Andriy Mnih. |
| Implicit Reparameterization Gradients, 2018](https://arxiv.org/abs/1805.08498) |
| |
| Example: |
| |
| ```python |
| samples = tf.random.gamma([10], [0.5, 1.5]) |
| # samples has shape [10, 2], where each slice [:, 0] and [:, 1] represents |
| # the samples drawn from each distribution |
| |
| samples = tf.random.gamma([7, 5], [0.5, 1.5]) |
| # samples has shape [7, 5, 2], where each slice [:, :, 0] and [:, :, 1] |
| # represents the 7x5 samples drawn from each of the two distributions |
| |
| alpha = tf.constant([[1.],[3.],[5.]]) |
| beta = tf.constant([[3., 4.]]) |
| samples = tf.random.gamma([30], alpha=alpha, beta=beta) |
| # samples has shape [30, 3, 2], with 30 samples each of 3x2 distributions. |
| |
| loss = tf.reduce_mean(tf.square(samples)) |
| dloss_dalpha, dloss_dbeta = tf.gradients(loss, [alpha, beta]) |
| # unbiased stochastic derivatives of the loss function |
| alpha.shape == dloss_dalpha.shape # True |
| beta.shape == dloss_dbeta.shape # True |
| ``` |
| |
| Args: |
| shape: A 1-D integer Tensor or Python array. The shape of the output samples |
| to be drawn per alpha/beta-parameterized distribution. |
| alpha: A Tensor or Python value or N-D array of type `dtype`. `alpha` |
| provides the shape parameter(s) describing the gamma distribution(s) to |
| sample. Must be broadcastable with `beta`. |
| beta: A Tensor or Python value or N-D array of type `dtype`. Defaults to 1. |
| `beta` provides the inverse scale parameter(s) of the gamma |
| distribution(s) to sample. Must be broadcastable with `alpha`. |
| dtype: The type of alpha, beta, and the output: `float16`, `float32`, or |
| `float64`. |
| seed: A Python integer. Used to create a random seed for the distributions. |
| See |
| `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: Optional name for the operation. |
| |
| Returns: |
| samples: a `Tensor` of shape |
| `tf.concat([shape, tf.shape(alpha + beta)], axis=0)` with values of type |
| `dtype`. |
| """ |
| with ops.name_scope(name, "random_gamma", [shape, alpha, beta]): |
| shape = ops.convert_to_tensor(shape, name="shape", dtype=dtypes.int32) |
| alpha = ops.convert_to_tensor(alpha, name="alpha", dtype=dtype) |
| beta = ops.convert_to_tensor( |
| beta if beta is not None else 1, name="beta", dtype=dtype) |
| alpha_broadcast = alpha + array_ops.zeros_like(beta) |
| seed1, seed2 = random_seed.get_seed(seed) |
| return math_ops.maximum( |
| np.finfo(dtype.as_numpy_dtype).tiny, |
| gen_random_ops.random_gamma( |
| shape, alpha_broadcast, seed=seed1, seed2=seed2) / beta) |
| |
| |
| @tf_export(v1=["random.poisson", "random_poisson"]) |
| @deprecation.deprecated_endpoints("random_poisson") |
| def random_poisson(lam, shape, dtype=dtypes.float32, seed=None, name=None): |
| """Draws `shape` samples from each of the given Poisson distribution(s). |
| |
| `lam` is the rate parameter describing the distribution(s). |
| |
| Example: |
| |
| ```python |
| samples = tf.random.poisson([0.5, 1.5], [10]) |
| # samples has shape [10, 2], where each slice [:, 0] and [:, 1] represents |
| # the samples drawn from each distribution |
| |
| samples = tf.random.poisson([12.2, 3.3], [7, 5]) |
| # samples has shape [7, 5, 2], where each slice [:, :, 0] and [:, :, 1] |
| # represents the 7x5 samples drawn from each of the two distributions |
| ``` |
| |
| Args: |
| lam: A Tensor or Python value or N-D array of type `dtype`. |
| `lam` provides the rate parameter(s) describing the poisson |
| distribution(s) to sample. |
| shape: A 1-D integer Tensor or Python array. The shape of the output samples |
| to be drawn per "rate"-parameterized distribution. |
| dtype: The type of the output: `float16`, `float32`, `float64`, `int32` or |
| `int64`. |
| seed: A Python integer. Used to create a random seed for the distributions. |
| See |
| `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: Optional name for the operation. |
| |
| Returns: |
| samples: a `Tensor` of shape `tf.concat([shape, tf.shape(lam)], axis=0)` |
| with values of type `dtype`. |
| """ |
| return random_poisson_v2(shape, lam, dtype, seed, name) |
| |
| |
| @tf_export("random.poisson", v1=[]) |
| def random_poisson_v2(shape, lam, dtype=dtypes.float32, seed=None, name=None): |
| """Draws `shape` samples from each of the given Poisson distribution(s). |
| |
| `lam` is the rate parameter describing the distribution(s). |
| |
| Example: |
| |
| ```python |
| samples = tf.random.poisson([10], [0.5, 1.5]) |
| # samples has shape [10, 2], where each slice [:, 0] and [:, 1] represents |
| # the samples drawn from each distribution |
| |
| samples = tf.random.poisson([7, 5], [12.2, 3.3]) |
| # samples has shape [7, 5, 2], where each slice [:, :, 0] and [:, :, 1] |
| # represents the 7x5 samples drawn from each of the two distributions |
| ``` |
| |
| Args: |
| shape: A 1-D integer Tensor or Python array. The shape of the output samples |
| to be drawn per "rate"-parameterized distribution. |
| lam: A Tensor or Python value or N-D array of type `dtype`. |
| `lam` provides the rate parameter(s) describing the poisson |
| distribution(s) to sample. |
| dtype: The type of the output: `float16`, `float32`, `float64`, `int32` or |
| `int64`. |
| seed: A Python integer. Used to create a random seed for the distributions. |
| See |
| `tf.compat.v1.set_random_seed` |
| for behavior. |
| name: Optional name for the operation. |
| |
| Returns: |
| samples: a `Tensor` of shape `tf.concat([shape, tf.shape(lam)], axis=0)` |
| with values of type `dtype`. |
| """ |
| with ops.name_scope(name, "random_poisson", [lam, shape]): |
| shape = ops.convert_to_tensor(shape, name="shape", dtype=dtypes.int32) |
| seed1, seed2 = random_seed.get_seed(seed) |
| return gen_random_ops.random_poisson_v2( |
| shape, lam, dtype=dtype, seed=seed1, seed2=seed2) |