Effectiveness of Hierarchical Softmax in Large Scale Classification Tasks
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Abstract (arXiv)
Typically, Softmax is used in the final layer of a neural network to get a probability distribution for output classes. But the main problem with Softmax is that it is computationally expensive for large scale data sets with large number of possible outputs. To approximate class probability efficiently on such large scale data sets we can use Hierarchical Softmax. LSHTC datasets were used to study the performance of the Hierarchical Softmax. LSHTC datasets have large number of categories. In this paper we evaluate and report the performance of normal Softmax Vs Hierarchical Softmax on LSHTC datasets. This evaluation used macro f1 score as a performance measure. The observation was that the performance of Hierarchical Softmax degrades as the number of classes increase.
Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). First posted on arXiv 13 Dec 2018.
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Citing papers per year: 2021: 1; 2022: 3; 2023: 2; 2024: 0; 2025: 1; 2026: 1.
8 papers.
- 2022Hierarchical Softmax for End-to-End Low-resource Multilingual Speech Recognitioncited by 7
- 2023Distributionally Robust Classification on a Data Budgetcited by 2
- 2021Predictive Representation Learning for Language Modelingcited by 1
- 2026Multi-View Stenosis Classification Leveraging Transformer-Based Multiple-Instance Learning Using Real-World Clinical Datacited by 1
- 2022The Tree Loss: Improving Generalization with Many Classescited by 0
- 2022TypoSwype: An Imaging Approach to Detect Typo-Squattingcited by 0
- 2023Indeterminate Probability Theorycited by 0
- 2025Cross-lingual Embedding Clustering for Hierarchical Softmax in Low-Resource Multilingual Speech Recognitioncited by 0
- 2026Multi-View Stenosis Classification Leveraging Transformer-Based Multiple-Instance Learning Using Real-World Clinical Data2 Feb 2026
- 2025Cross-lingual Embedding Clustering for Hierarchical Softmax in Low-Resource Multilingual Speech Recognition29 Jan 2025
- 2023Distributionally Robust Classification on a Data Budget7 Aug 2023
- 2023Indeterminate Probability Theory21 Mar 2023
- 2022TypoSwype: An Imaging Approach to Detect Typo-Squatting2 Sep 2022
- 2022The Tree Loss: Improving Generalization with Many Classes16 Apr 2022
- 2022Hierarchical Softmax for End-to-End Low-resource Multilingual Speech Recognition8 Apr 2022
- 2021Predictive Representation Learning for Language Modeling29 May 2021