Coherence score 0.4 is good or bad?

I need to know whether coherence score of 0.4 is good or bad? I use LDA as topic modelling algorithm.

What is the average coherence score in this context.

Coherence measures the relative distance between words within a topic. There are two major types C_V typically 0 < x < 1 and uMass -14 < x < 14. It's rare to see a coherence of 1 or +.9 unless the words being measured are either identical words or bigrams. Like United and States would likely return a coherence score of ~.94 or hero and hero would return a coherence of 1. The overall coherence score of a topic is the average of the distances between words. I try and attain a .7 in my LDAs if I'm using c_v I think that is a strong topic correlation. I would say:

.3 is bad

.4 is low

.55 is okay

.65 might be as good as it is going to get

.7 is nice

.8 is unlikely and

.9 is probably wrong

Low coherence fixes:

adjust your parameters alpha = .1, beta = .01 or .001, random_state = 123, etc
get better data
at .4 you probably have the wrong number of topics check out https://datascienceplus.com/evaluation-of-topic-modeling-topic-coherence/ for what is known as the elbow method - it gives you a graph of the optimal number of topics for greatest coherence in your data set. I'm using mallet which has pretty good coherance here is code to check coherence for different numbers of topics:

def compute_coherence_values(dictionary, corpus, texts, limit, start=2, step=3):
    """
    Compute c_v coherence for various number of topics

    Parameters:
    ----------
    dictionary : Gensim dictionary
    corpus : Gensim corpus
    texts : List of input texts
    limit : Max num of topics

    Returns:
    -------
    model_list : List of LDA topic models
    coherence_values : Coherence values corresponding to the LDA model with respective number of topics
    """
    coherence_values = []
    model_list = []
    for num_topics in range(start, limit, step):
        model = gensim.models.wrappers.LdaMallet(mallet_path, corpus=corpus, num_topics=num_topics, id2word=id2word)
        model_list.append(model)
        coherencemodel = CoherenceModel(model=model, texts=texts, dictionary=dictionary, coherence='c_v')
        coherence_values.append(coherencemodel.get_coherence())

    return model_list, coherence_values
# Can take a long time to run.
model_list, coherence_values = compute_coherence_values(dictionary=id2word, corpus=corpus, texts=data_lemmatized, start=2, limit=40, step=6)
# Show graph
limit=40; start=2; step=6;
x = range(start, limit, step)
plt.plot(x, coherence_values)
plt.xlabel("Num Topics")
plt.ylabel("Coherence score")
plt.legend(("coherence_values"), loc='best')
plt.show()

# Print the coherence scores
for m, cv in zip(x, coherence_values):
    print("Num Topics =", m, " has Coherence Value of", round(cv, 4))
    
# Select the model and print the topics
optimal_model = model_list[3]
model_topics = optimal_model.show_topics(formatted=False)
pprint(optimal_model.print_topics(num_words=10))

I hope this helps :)