def freeze_batch_norm_2d(module, module_match={}, name=""):
    """
    Converts all `BatchNorm2d` and `SyncBatchNorm` layers of provided module into `FrozenBatchNorm2d`. If `module` is
    itself an instance of either `BatchNorm2d` or `SyncBatchNorm`, it is converted into `FrozenBatchNorm2d` and
    returned. Otherwise, the module is walked recursively and submodules are converted in place.

    Args:
        module (torch.nn.Module): Any PyTorch module.
        module_match (dict): Dictionary of full module names to freeze (all if empty)
        name (str): Full module name (prefix)

    Returns:
        torch.nn.Module: Resulting module

    Inspired by https://github.com/pytorch/pytorch/blob/a5895f85be0f10212791145bfedc0261d364f103/torch/nn/modules/batchnorm.py#L762
    """
    res = module
    is_match = True
    if module_match:
        is_match = name in module_match
    if is_match and isinstance(
        module, (nn.modules.batchnorm.BatchNorm2d, nn.modules.batchnorm.SyncBatchNorm)
    ):
        res = FrozenBatchNorm2d(module.num_features)
        res.num_features = module.num_features
        res.affine = module.affine
        if module.affine:
            res.weight.data = module.weight.data.clone().detach()
            res.bias.data = module.bias.data.clone().detach()
        res.running_mean.data = module.running_mean.data
        res.running_var.data = module.running_var.data
        res.eps = module.eps
    else:
        for child_name, child in module.named_children():
            full_child_name = ".".join([name, child_name]) if name else child_name
            new_child = freeze_batch_norm_2d(child, module_match, full_child_name)
            if new_child is not child:
                res.add_module(child_name, new_child)
    return res
Converts all `BatchNorm2d` and `SyncBatchNorm` layers of provided module into `FrozenBatchNorm2d`. If `module` is
itself an instance of either `BatchNorm2d` or `SyncBatchNorm`, it is converted into `FrozenBatchNorm2d` and
returned. Otherwise, the module is walked recursively and submodules are converted in place.

Args:
module (torch.nn.Module): Any PyTorch module.
module_match (dict): Dictionary of full module names to freeze (all if empty)
name (str): Full module name (prefix)

Returns:
torch.nn.Module: Resulting module

Inspired by https://github.com/pytorch/pytorch/blob/a5895f85be0f10212791145bfedc0261d364f103/torch/nn/modules/batchnorm.py#L762
models/tta/picoaudio/picoaudio/audioldm/clap/open_clip/utils.py