How do I invert BooleanToVisibilityConverter?

Instead of inverting, you can achieve the same goal by using a generic IValueConverter implementation that can convert a Boolean value to configurable target values for true and false. Below is one such implementation:

public class BooleanConverter<T> : IValueConverter
{
    public BooleanConverter(T trueValue, T falseValue)
    {
        True = trueValue;
        False = falseValue;
    }

    public T True { get; set; }
    public T False { get; set; }

    public virtual object Convert(object value, Type targetType, object parameter, CultureInfo culture)
    {
        return value is bool && ((bool) value) ? True : False;
    }

    public virtual object ConvertBack(object value, Type targetType, object parameter, CultureInfo culture)
    {
        return value is T && EqualityComparer<T>.Default.Equals((T) value, True);
    }
}

Next, subclass it where T is Visibility:

public sealed class BooleanToVisibilityConverter : BooleanConverter<Visibility>
{
    public BooleanToVisibilityConverter() : 
        base(Visibility.Visible, Visibility.Collapsed) {}
}

Finally, this is how you could use BooleanToVisibilityConverter above in XAML and configure it to, for example, use Collapsed for true and Visible for false:

<Application.Resources>
    <app:BooleanToVisibilityConverter 
        x:Key="BooleanToVisibilityConverter" 
        True="Collapsed" 
        False="Visible" />
</Application.Resources>

This inversion is useful when you want to bind to a Boolean property named IsHidden as opposed IsVisible.

Write your own is the best solution for now. Here is an example of a Converter that can do both way Normal and Inverted. If you have any problems with this just ask.

[ValueConversion(typeof(bool), typeof(Visibility))]
public class InvertableBooleanToVisibilityConverter : IValueConverter
{
    enum Parameters
    {
        Normal, Inverted
    }

    public object Convert(object value, Type targetType,
                          object parameter, CultureInfo culture)
    {
        var boolValue = (bool)value;
        var direction = (Parameters)Enum.Parse(typeof(Parameters), (string)parameter);

        if(direction == Parameters.Inverted)
            return !boolValue? Visibility.Visible : Visibility.Collapsed;

        return boolValue? Visibility.Visible : Visibility.Collapsed;
    }

    public object ConvertBack(object value, Type targetType,
        object parameter, CultureInfo culture)
    {
        return null;
    }
}

<UserControl.Resources>
  <Converters:InvertableBooleanToVisibilityConverter x:Key="_Converter"/>
</UserControl.Resources>

<Button Visibility="{Binding IsRunning, Converter={StaticResource _Converter}, ConverterParameter=Inverted}">Start</Button>