调整后的余弦相似度无法正常工作

我在餐馆之间使用adjusted cosine similarity开发item-based collaborative filter以产生推荐 . 我设置了一切并且运行良好，但是当我尝试模拟可能的测试场景时，我得到了一些有趣的结果 .

我将从我的测试数据开始 . 我有2家餐馆，我想计算它们之间的相似性，3个用户都评价了2家餐厅相同 . 我将使用以下矩阵解释它：

User 1 | User 2 | User 3
Restaurant 1 |   1    |   2    |   1
Restaurant 2 |   1    |   2    |   1

我正在尝试使用以下函数计算相似度：
餐馆在我的代码中被称为 Subject .

public double ComputeSimilarity(Guid subject1, Guid subject2, IEnumerable<Review> allReviews)
{
    //This will create an IEnumerable of reviews from the same user on the 2 restaurants.
    var matches = (from R1 in allReviews.Where(x => x.SubjectId == subject1)
                   from R2 in allReviews.Where(x => x.SubjectId == subject2)
                   where R1.UserId == R2.UserId
                   select new { R1, R2 });            
    double num = 0.0f;
    double dem1 = 0.0f;
    double dem2 = 0.0f;
    //For the similarity between subjects, we use an adjusted cosine similarity.
    //More information on this can be found here: http://www10.org/cdrom/papers/519/node14.html
    foreach (var item in matches)
    {
        //First get the average of all reviews the user has given. This is used in the adjusted cosine similarity, read the article from the link for further explanation
        double avg = allReviews.Where(x => x.UserId == item.R1.UserId)
                               .Average(x => x.rating);
        num += ((item.R1.rating - avg) * (item.R2.rating - avg));
        dem1 += Math.Pow((item.R1.rating - avg), 2);
        dem2 += Math.Pow((item.R2.rating - avg), 2);
    }
    return (num / (Math.Sqrt(dem1) * Math.Sqrt(dem2)));
}

我的评论看起来像这样：

public class Review
{
    public Guid Id { get; set; }
    public int rating { get; set; } //This can be an integer between 1-5
    public Guid SubjectId { get; set; } //This is the guid of the subject the review has been left on
    public Guid UserId { get; set; } //This is the guid of the user who left the review
}

在所有其他场景中，该函数将计算主题之间的正确相似性 . 但是当我使用上面的测试数据（我预期的完美相似性）时，它会产生NaN .

这是我的代码中的错误还是调整后的余弦相似度中的错误？如果它导致NaN， grab 这个并插入 1 以获得相似性是否很好？

编辑：我也尝试过其他矩阵，我得到了更有趣的结果 .

User 1 | User 2 | User 3 | User 4 | User 5
Restaurant 1 |   1    |   2    |   1    |   1    |   2
Restaurant 2 |   1    |   2    |   1    |   1    |   2

这仍然导致NaN .

User 1 | User 2 | User 3 | User 4 | User 5
Restaurant 1 |   2    |   2    |   1    |   1    |   2
Restaurant 2 |   1    |   2    |   1    |   1    |   2

这导致 -1 的相似性