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F.Take Backwards - Incorrect Gradient #19817

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ceisenach opened this issue Feb 2, 2021 · 7 comments
Closed

F.Take Backwards - Incorrect Gradient #19817

ceisenach opened this issue Feb 2, 2021 · 7 comments

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@ceisenach
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ceisenach commented Feb 2, 2021

Description

Backwards implementation of F.take computes incorrect gradient when used after sequence of transpose -> convolution -> transpose. any trainable parameters that receive gradients through the F.take operator are incorrect. Equivalent implementations using slice operators produce correct results.

Other Details

I have been unable to find any other scenario when it happens (for example, if one replaces the Conv Layers in the example below with a linear layer, there is no issue with the gradient computation).

I also encounter the bug on MXNet 1.5 and 1.6 (have not tested with earlier versions).

To Reproduce

Below I provide an example of a simple model with two implementations -- one that uses F.take (Model A) and one that uses F.slice_axis (Model B) instead.

def conv_layer(atrous_rates, num_channels):
    convs = HybridSequential()
    convs.add(HybridLambda(lambda F, x: F.transpose(x, (0, 2, 1))))
    for rate in atrous_rates:
        convs.add(Conv1D(num_channels, 3, padding=rate, dilation=rate, activation='tanh'))
    convs.add(HybridLambda(lambda F, x: F.transpose(x, (0, 2, 1))))
    return convs


class Model(HybridBlock):
    """
    Model takes tensors of shape N x T x C and produces predictions with shape N x T
    """

    def __init__(self, conv_units, atrous_rates, use_take=False, **kwargs):
        super().__init__(prefix=kwargs.get('prefix', None), params=kwargs.get('params', None))
        self.use_take = use_take
        with self.name_scope():
            self.convs = conv_layer(atrous_rates, conv_units)
            self.dense_out = Dense(1, flatten=False, activation='tanh')

    def hybrid_forward(self, F, X):
        X1 = X
        X2 = self.convs(X1)
        if self.use_take:
            X3 = F.take(X2, nd.array([1, 2, 3]), axis=-1)
        else:
            X3 = F.slice_axis(X2, begin=1, end=4, axis=-1)
        X4 = self.dense_out(X3)
        X4 = F.squeeze(X4, axis=-1)
        return X4

The script provided below instantiates both implementations with the same initial weights, computes L2Loss and prints the gradients from both models. A random seed is set so the output should be deterministic (and it is for Model B).

Steps to reproduce

  1. Download this script: https://gist.github.com/ceisenach/9ffed8343e5576748ec7d5623ffe6c46
  2. Run script (python take_bug.py)

Result

  1. As expected, output of forward pass is the same from both models
  2. Gradients (Model A): parameters in Model A that receive gradients through F.take are on the order of 1e28 (or in some cases are infinite). The results are non-deterministic
  3. Gradients (Model B): Gradient values seem reasonable and are deterministic (same results each time).

Example output from the script I provided

||g_param||_2: INF | Param: model0_conv0_weight
||g_param||_2: 7.21E+18 | Param: model0_conv0_bias
||g_param||_2: INF | Param: model0_conv1_weight
||g_param||_2: INF | Param: model0_conv1_bias
||g_param||_2: INF | Param: model0_conv2_weight
||g_param||_2: INF | Param: model0_conv2_bias
||g_param||_2: 1.38E-04 | Param: model0_dense0_weight
||g_param||_2: 1.06E-02 | Param: model0_dense0_bias

    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: INF
    *  ||g||_1: 1.77E+21
    *  ||g||_inf: 5.79E+20

    
||g_param||_2: 2.37E-04 | Param: model1_conv0_weight
||g_param||_2: 2.29E-05 | Param: model1_conv0_bias
||g_param||_2: 2.23E-04 | Param: model1_conv1_weight
||g_param||_2: 1.50E-04 | Param: model1_conv1_bias
||g_param||_2: 4.26E-04 | Param: model1_conv2_weight
||g_param||_2: 7.02E-04 | Param: model1_conv2_bias
||g_param||_2: 1.38E-04 | Param: model1_dense0_weight
||g_param||_2: 1.06E-02 | Param: model1_dense0_bias

    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: 1.06E-02
    *  ||g||_1: 1.75E-02
    *  ||g||_inf: 1.06E-02

    
==== Same outputs?
Y_hat1 - Yhat2 = 0.0000

It appears that there is either an OOB memory access or some values involved in the calculation are not initialized before they are used. I haven't attempted to track down the root cause.

What have you tried to solve it?

In many cases, can workaround by using one of the slice operators and concatenation instead. They do not appear to have any issues.

Environment

OS: ubuntu 18.04
Python: 3.8.5
pip: 20.2.3
mxnet: 1.7.0 (Commit Hash: 64f737c)
numpy: 1.19.2

@ceisenach ceisenach changed the title F.Take Backwards Incorrect Gradient F.Take Backwards -- Incorrect Gradient Feb 2, 2021
@ceisenach ceisenach changed the title F.Take Backwards -- Incorrect Gradient F.Take Backwards - Incorrect Gradient Feb 2, 2021
@szha szha removed the needs triage label Feb 8, 2021
@szha
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szha commented Feb 8, 2021

I can confirm that this bug has been fixed on master branch. Here are the outputs from the master branch (after adopting the new Gluon interface)

script
import numpy as np
import mxnet as mx
from mxnet.gluon.nn import HybridBlock, Conv1D, HybridSequential, HybridLambda, Dense
from mxnet import autograd, nd
from mxnet.gluon.loss import L2Loss


def print_grads(model, ctx=mx.cpu()):
    pd = model.collect_params()
    total_grad_l2 = 0
    total_grad_l1 = 0
    total_grad_linf = 0
    for p in pd:
        try:
            g = pd[p].grad(ctx) / N
            g2 = (g**2).sum().as_in_context(mx.cpu()).asscalar()
            g1 = g.abs().sum().as_in_context(mx.cpu()).asscalar()
            ginf = g.max().as_in_context(mx.cpu()).asscalar()
            total_grad_linf = max(total_grad_linf, ginf)
            total_grad_l2 += g2
            total_grad_l1 += g1
            print(f"||g_param||_2: {g2**0.5:.2E} | Param: {p}")
        except Exception:
            pass
    grad_info = f"""
    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: {total_grad_l2**0.5:.2E}
    *  ||g||_1: {total_grad_l1:.2E}
    *  ||g||_inf: {total_grad_linf:.2E}

    """
    print(grad_info)


def run_model(model, loss, X, Y, num_iters=1):
    for i in range(num_iters):
        with autograd.record():
            Y_hat = model(X)
            ll = loss(Y_hat, Y)
            ll = ll.sum()
            ll.backward()
            print_grads(model)
    return Y_hat


def conv_layer(atrous_rates, num_channels):
    convs = HybridSequential()
    convs.add(HybridLambda(lambda F, x: F.transpose(x, (0, 2, 1))))
    for rate in atrous_rates:
        convs.add(Conv1D(num_channels, 3, padding=rate, dilation=rate, activation='tanh'))
    convs.add(HybridLambda(lambda F, x: F.transpose(x, (0, 2, 1))))
    return convs


class Model(HybridBlock):
    """
    Model takes tensors of shape N x T x C and produces predictions with shape N x T
    """

    def __init__(self, conv_units, atrous_rates, use_take=False, **kwargs):
        super().__init__()
        self.use_take = use_take
        self.convs = conv_layer(atrous_rates, conv_units)
        self.dense_out = Dense(1, flatten=False, activation='tanh')

    def hybrid_forward(self, F, X):
        X1 = X
        X2 = self.convs(X1)
        if self.use_take:
            X3 = F.take(X2, nd.array([1, 2, 3]), axis=-1)
        else:
            X3 = F.slice_axis(X2, begin=1, end=4, axis=-1)
        X4 = self.dense_out(X3)
        X4 = F.squeeze(X4, axis=-1)
        return X4


if __name__ == "__main__":
    N = 30
    T = 20
    C = 8
    conv_units = 5
    atrous_rates = [1, 2, 4]
    np.random.seed(1234)

    X = np.random.normal(size=(N, T, C))
    Y = np.random.normal(size=(N, T))
    X, Y = nd.array(X), nd.array(Y)

    # Using F.take
    mx.random.seed(12354)
    model = Model(conv_units, atrous_rates, use_take=True)
    model.initialize()
    loss = L2Loss()
    Y_hat1 = run_model(model, loss, X, Y)

    # Using F.slice_axis
    mx.random.seed(12354)
    model2 = Model(conv_units, atrous_rates, use_take=False)
    model2.initialize()
    loss2 = L2Loss()
    Y_hat2 = run_model(model2, loss2, X, Y)

    delta = nd.abs(Y_hat1-Y_hat2).sum().asscalar()
    print("==== Same outputs?")
    print(f"Y_hat1 - Yhat2 = {delta:.4f}")
▶ python3 take_bug.py
[14:28:50] ../src/storage/storage.cc:199: Using Pooled (Naive) StorageManager for CPU
||g_param||_2: 2.37E-04 | Param: convs.1.weight
||g_param||_2: 2.29E-05 | Param: convs.1.bias
||g_param||_2: 2.23E-04 | Param: convs.2.weight
||g_param||_2: 1.50E-04 | Param: convs.2.bias
||g_param||_2: 4.26E-04 | Param: convs.3.weight
||g_param||_2: 7.02E-04 | Param: convs.3.bias
||g_param||_2: 1.38E-04 | Param: dense_out.weight
||g_param||_2: 1.06E-02 | Param: dense_out.bias

    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: 1.06E-02
    *  ||g||_1: 1.75E-02
    *  ||g||_inf: 1.06E-02


||g_param||_2: 2.37E-04 | Param: convs.1.weight
||g_param||_2: 2.29E-05 | Param: convs.1.bias
||g_param||_2: 2.23E-04 | Param: convs.2.weight
||g_param||_2: 1.50E-04 | Param: convs.2.bias
||g_param||_2: 4.26E-04 | Param: convs.3.weight
||g_param||_2: 7.02E-04 | Param: convs.3.bias
||g_param||_2: 1.38E-04 | Param: dense_out.weight
||g_param||_2: 1.06E-02 | Param: dense_out.bias

    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: 1.06E-02
    *  ||g||_1: 1.75E-02
    *  ||g||_inf: 1.06E-02


==== Same outputs?
Y_hat1 - Yhat2 = 0.0000

@szha szha added Operator v1.x Targeting v1.x branch labels Feb 8, 2021
@ceisenach
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Thanks for looking into this -- do you know which commit fixed the bug? Also, do you know which upcoming release would contain the bugfix?

@szha
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szha commented Feb 13, 2021

It's unclear to me. The following commits are only on master and not on v1.x:
e3d7866
c1098aa
344587f
50312af
18a784a

@szha
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szha commented Feb 13, 2021

Actually I think this bug appears to be non-deterministic. If I run the script a couple more times I get weird results such as the following, which happens on both v1.x and on master:

script
import numpy as np
import mxnet as mx
from mxnet.gluon.nn import HybridBlock, Conv1D, HybridSequential, HybridLambda, Dense
from mxnet import autograd, nd
from mxnet.gluon.loss import L2Loss

print(mx.__version__)
print(mx.runtime.feature_list())


def print_grads(model, ctx=mx.cpu()):
    pd = model.collect_params()
    total_grad_l2 = 0
    total_grad_l1 = 0
    total_grad_linf = 0
    for p in pd:
        try:
            g = pd[p].grad(ctx) / N
            g2 = (g**2).sum().as_in_context(mx.cpu()).asscalar()
            g1 = g.abs().sum().as_in_context(mx.cpu()).asscalar()
            ginf = g.max().as_in_context(mx.cpu()).asscalar()
            total_grad_linf = max(total_grad_linf, ginf)
            total_grad_l2 += g2
            total_grad_l1 += g1
            print(f"||g_param||_2: {g2**0.5:.2E} | Param: {p}")
        except Exception:
            pass
    grad_info = f"""
    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: {total_grad_l2**0.5:.2E}
    *  ||g||_1: {total_grad_l1:.2E}
    *  ||g||_inf: {total_grad_linf:.2E}
    """
    print(grad_info)


def run_model(model, loss, X, Y, num_iters=1):
    for i in range(num_iters):
        with autograd.record():
            Y_hat = model(X)
            ll = loss(Y_hat, Y)
            ll = ll.sum()
            ll.backward()
            print_grads(model)
    return Y_hat


def conv_layer(atrous_rates, num_channels):
    convs = HybridSequential()
    convs.add(HybridLambda(lambda F, x: F.transpose(x, (0, 2, 1))))
    for rate in atrous_rates:
        convs.add(Conv1D(num_channels, 3, padding=rate, dilation=rate, activation='tanh'))
    convs.add(HybridLambda(lambda F, x: F.transpose(x, (0, 2, 1))))
    return convs


class Model(HybridBlock):
    """
    Model takes tensors of shape N x T x C and produces predictions with shape N x T
    """

    def __init__(self, conv_units, atrous_rates, use_take=False, **kwargs):
        super().__init__()
        self.use_take = use_take
        self.convs = conv_layer(atrous_rates, conv_units)
        self.dense_out = Dense(1, flatten=False, activation='tanh')

    def hybrid_forward(self, F, X):
        X1 = X
        X2 = self.convs(X1)
        if self.use_take:
            X3 = F.take(X2, nd.array([1, 2, 3]), axis=-1)
        else:
            X3 = F.slice_axis(X2, begin=1, end=4, axis=-1)
        X4 = self.dense_out(X3)
        X4 = F.squeeze(X4, axis=-1)
        return X4


if __name__ == "__main__":
    N = 30
    T = 20
    C = 8
    conv_units = 5
    atrous_rates = [1, 2, 4]
    np.random.seed(1234)

    X = np.random.normal(size=(N, T, C))
    Y = np.random.normal(size=(N, T))
    X, Y = nd.array(X), nd.array(Y)

    # Using F.take
    mx.random.seed(12354)
    model = Model(conv_units, atrous_rates, use_take=True)
    model.initialize()
    loss = L2Loss()
    Y_hat1 = run_model(model, loss, X, Y)

    # Using F.slice_axis
    mx.random.seed(12354)
    model2 = Model(conv_units, atrous_rates, use_take=False)
    model2.initialize()
    loss2 = L2Loss()
    Y_hat2 = run_model(model2, loss2, X, Y)

    delta = nd.abs(Y_hat1-Y_hat2).sum().asscalar()
    print("==== Same outputs?")
    print(f"Y_hat1 - Yhat2 = {delta:.4f}")
environment

from commit bca8de8

----------Python Info----------
Version      : 3.8.7
Compiler     : Clang 12.0.0 (clang-1200.0.32.28)
Build        : ('default', 'Dec 30 2020 10:14:55')
Arch         : ('64bit', '')
------------Pip Info-----------
Version      : 20.3.3
Directory    : /usr/local/lib/python3.8/site-packages/pip
----------MXNet Info-----------
Version      : 2.0.0
Directory    : /Users/zhasheng/mxnet/python/mxnet
Commit hash file "/Users/zhasheng/mxnet/python/mxnet/COMMIT_HASH" not found. Not installed from pre-built package or built from source.
Library      : ['/Users/zhasheng/mxnet/python/mxnet/../../build/libmxnet.dylib']
Build features:
✖ CUDA
✖ CUDNN
✖ NCCL
✖ TENSORRT
✖ CUTENSOR
✔ CPU_SSE
✔ CPU_SSE2
✔ CPU_SSE3
✔ CPU_SSE4_1
✔ CPU_SSE4_2
✖ CPU_SSE4A
✔ CPU_AVX
✖ CPU_AVX2
✖ OPENMP
✖ SSE
✔ F16C
✖ JEMALLOC
✖ BLAS_OPEN
✖ BLAS_ATLAS
✖ BLAS_MKL
✔ BLAS_APPLE
✔ LAPACK
✔ MKLDNN
✖ OPENCV
✖ DIST_KVSTORE
✖ INT64_TENSOR_SIZE
✔ SIGNAL_HANDLER
✔ DEBUG
✖ TVM_OP
----------System Info----------
Platform     : macOS-11.2.1-x86_64-i386-64bit
system       : Darwin
node         : a483e79ab3ab
release      : 20.3.0
version      : Darwin Kernel Version 20.3.0: Thu Jan 21 00:07:06 PST 2021; root:xnu-7195.81.3~1/RELEASE_X86_64
----------Hardware Info----------
machine      : x86_64
processor    : i386
b'machdep.cpu.brand_string: Intel(R) Core(TM) i7-8569U CPU @ 2.80GHz'
b'machdep.cpu.features: FPU VME DE PSE TSC MSR PAE MCE CX8 APIC SEP MTRR PGE MCA CMOV PAT PSE36 CLFSH DS ACPI MMX FXSR SSE SSE2 SS HTT TM PBE SSE3 PCLMULQDQ DTES64 MON DSCPL VMX EST TM2 SSSE3 FMA CX16 TPR PDCM SSE4.1 SSE4.2 x2APIC MOVBE POPCNT AES PCID XSAVE OSXSAVE SEGLIM64 TSCTMR AVX1.0 RDRAND F16C'
b'machdep.cpu.leaf7_features: RDWRFSGS TSC_THREAD_OFFSET SGX BMI1 AVX2 SMEP BMI2 ERMS INVPCID FPU_CSDS MPX RDSEED ADX SMAP CLFSOPT IPT MDCLEAR TSXFA IBRS STIBP L1DF SSBD'
b'machdep.cpu.extfeatures: SYSCALL XD 1GBPAGE EM64T LAHF LZCNT PREFETCHW RDTSCP TSCI'
----------Network Test----------
Setting timeout: 10
Timing for MXNet: https://github.com/apache/incubator-mxnet, DNS: 0.0137 sec, LOAD: 0.2581 sec.
Timing for Gluon Tutorial(en): http://gluon.mxnet.io, DNS: 0.0852 sec, LOAD: 0.2603 sec.
Error open Gluon Tutorial(cn): https://zh.gluon.ai, <urlopen error [SSL: CERTIFICATE_VERIFY_FAILED] certificate verify failed: certificate has expired (_ssl.c:1125)>, DNS finished in 0.23605990409851074 sec.
Timing for FashionMNIST: https://apache-mxnet.s3-accelerate.dualstack.amazonaws.com/gluon/dataset/fashion-mnist/train-labels-idx1-ubyte.gz, DNS: 0.0248 sec, LOAD: 0.2969 sec.
Timing for PYPI: https://pypi.python.org/pypi/pip, DNS: 0.0103 sec, LOAD: 0.3477 sec.
Error open Conda: https://repo.continuum.io/pkgs/free/, HTTP Error 403: Forbidden, DNS finished in 0.014931201934814453 sec.
----------Environment----------
CC="/usr/local/opt/llvm/bin/clang"
CXX="/usr/local/opt/llvm/bin/clang++"
KMP_DUPLICATE_LIB_OK="True"
KMP_INIT_AT_FORK="FALSE"
2.0.0
[✖ CUDA, ✖ CUDNN, ✖ NCCL, ✖ TENSORRT, ✖ CUTENSOR, ✔ CPU_SSE, ✔ CPU_SSE2, ✔ CPU_SSE3, ✔ CPU_SSE4_1, ✔ CPU_SSE4_2, ✖ CPU_SSE4A, ✔ CPU_AVX, ✖ CPU_AVX2, ✖ OPENMP, ✖ SSE, ✔ F16C, ✖ JEMALLOC, ✖ BLAS_OPEN, ✖ BLAS_ATLAS, ✖ BLAS_MKL, ✔ BLAS_APPLE, ✔ LAPACK, ✔ MKLDNN, ✖ OPENCV, ✖ DIST_KVSTORE, ✖ INT64_TENSOR_SIZE, ✔ SIGNAL_HANDLER, ✔ DEBUG, ✖ TVM_OP]
[13:57:38] ../src/storage/storage.cc:199: Using Pooled (Naive) StorageManager for CPU
||g_param||_2: 2.27E+11 | Param: convs.1.weight
||g_param||_2: 2.15E+10 | Param: convs.1.bias
||g_param||_2: 2.46E+11 | Param: convs.2.weight
||g_param||_2: 4.30E+11 | Param: convs.2.bias
||g_param||_2: 2.54E+11 | Param: convs.3.weight
||g_param||_2: 2.66E+12 | Param: convs.3.bias
||g_param||_2: 1.38E-04 | Param: dense_out.weight
||g_param||_2: 1.06E-02 | Param: dense_out.bias

    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: 2.73E+12
    *  ||g||_1: 1.19E+13
    *  ||g||_inf: 1.86E+12

||g_param||_2: 2.37E-04 | Param: convs.1.weight
||g_param||_2: 2.29E-05 | Param: convs.1.bias
||g_param||_2: 2.23E-04 | Param: convs.2.weight
||g_param||_2: 1.50E-04 | Param: convs.2.bias
||g_param||_2: 4.26E-04 | Param: convs.3.weight
||g_param||_2: 7.02E-04 | Param: convs.3.bias
||g_param||_2: 1.38E-04 | Param: dense_out.weight
||g_param||_2: 1.06E-02 | Param: dense_out.bias

    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: 1.06E-02
    *  ||g||_1: 1.75E-02
    *  ||g||_inf: 1.06E-02

==== Same outputs?
Y_hat1 - Yhat2 = 0.0000

Update: if I turn off mkldnn, the results are consistently different

2.0.0
[✖ CUDA, ✖ CUDNN, ✖ NCCL, ✖ TENSORRT, ✖ CUTENSOR, ✔ CPU_SSE, ✔ CPU_SSE2, ✔ CPU_SSE3, ✔ CPU_SSE
4_1, ✔ CPU_SSE4_2, ✖ CPU_SSE4A, ✔ CPU_AVX, ✖ CPU_AVX2, ✖ OPENMP, ✖ SSE, ✔ F16C, ✖ JEMALLOC, ✖
BLAS_OPEN, ✖ BLAS_ATLAS, ✖ BLAS_MKL, ✔ BLAS_APPLE, ✔ LAPACK, ✖ MKLDNN, ✖ OPENCV, ✖ DIST_KVSTOR
E, ✖ INT64_TENSOR_SIZE, ✔ SIGNAL_HANDLER, ✔ DEBUG, ✖ TVM_OP]
||g_param||_2: 3.91E-03 | Param: convs.1.weight
||g_param||_2: 1.57E-04 | Param: convs.1.bias
||g_param||_2: 5.76E-03 | Param: convs.2.weight
||g_param||_2: 7.88E-04 | Param: convs.2.bias
||g_param||_2: 6.51E-03 | Param: convs.3.weight
||g_param||_2: 5.04E-03 | Param: convs.3.bias
||g_param||_2: 1.38E-04 | Param: dense_out.weight
||g_param||_2: 1.06E-02 | Param: dense_out.bias

    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: 1.51E-02
    *  ||g||_1: 1.39E-01
    *  ||g||_inf: 1.06E-02

||g_param||_2: 2.37E-04 | Param: convs.1.weight
||g_param||_2: 2.29E-05 | Param: convs.1.bias
||g_param||_2: 2.23E-04 | Param: convs.2.weight
||g_param||_2: 1.50E-04 | Param: convs.2.bias
||g_param||_2: 4.26E-04 | Param: convs.3.weight
||g_param||_2: 7.02E-04 | Param: convs.3.bias
||g_param||_2: 1.38E-04 | Param: dense_out.weight
||g_param||_2: 1.06E-02 | Param: dense_out.bias

    -------------------------------------------
    -------  Grad Info
    *  ||g||_2: 1.06E-02
    *  ||g||_1: 1.75E-02
    *  ||g||_inf: 1.06E-02

==== Same outputs?
Y_hat1 - Yhat2 = 0.0000

@szha szha removed the v1.x Targeting v1.x branch label Feb 13, 2021
@ceisenach
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Yeah I observe similar behavior on v1.x -- sometimes the grad calculation is correct, but most of the time they are different

@waytrue17
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I think the issue should be fixed by #20166. Would we close the issue? @ceisenach @szha

@ceisenach
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ceisenach commented Sep 20, 2021

When I use the latest nightly builds, I no longer observe the bug, so it seems resolved to me. Thanks for the fix!

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