Softmax function

area: Machine learning · 5 papers in the last 7 days

\mathrm{softmax}(z)_i = \frac{e^{z_i}}{\sum_{j=1}^{K} e^{z_j}}

Turns a vector of scores into probabilities.

LaTeX: \mathrm{softmax}(z)_i = \frac{e^{z_i}}{\sum_{j=1}^{K} e^{z_j}}

Names searched for: softmax

Key findings

Softmax function was mentioned in 42 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #24 of the 104 equations and models mentioned.
By journal category: AI (37), Finance (3) and Operations Research (2).
Most of them appeared in International Journal of Computer Vision (6), Neural Networks (5) and Expert Systems with Applications (5).
Often mentioned together with Scaled dot-product attention (Transformer) (26), Convolutional neural network (CNN) (21) and Cross-entropy loss (21).
Datasets named in the same papers: OR-Library (8), ImageNet (7) and CIFAR-10 / CIFAR-100 (4).
From Apr 2024 to Sep 2026, 72 archived papers mentioned Softmax function in their title, abstract or keywords, most of them in Sep 2026 (10).

Mentions over 30 months

Papers mentioning it by publication month, Apr 2024 to Sep 2026 (titles, abstracts and keywords)
Trend	Apr 24–Sep 24	Oct 24–Sep 25	Oct 25–Sep 26	30 months
	19	31	22	72

Papers mentioning Softmax function, newest first.
Date	Title	Journal	Authors	Affiliations
2026-10-24	A priority-aware dual-channel feature fusion method for urban rail service traffic classification	Applied Intelligence	Xinpeng Liu, Junhui Zhao, Zhengyuan Wu et al.	Beijing Jiaotong University
2026-10-23	From pixels to profits: trading arbitrage portfolios based on image representations	Financial markets and portfolio management	Niklas Paluszkiewicz	Universität Ulm
2026-10-22	Research on the spatiotemporal prediction of supply chain finance risk contagion based on a dynamic graph attention diffusion mechanism	Financial Innovation	Yulong Zhang, Yulong Zhang, Yaqing Zhang et al.	Hengshui University; Columbia University
2026-10-22	Cut the chit-chat: a new framework for the application of generative language models for portfolio construction	Annals of Operations Research	Francesco A. Fabozzi, Ionuţ Florescu	Stevens Institute of Technology
2026-10-20	Test-Time Computing for Referring Multimodal Large Language Models	International Journal of Computer Vision	Mingrui Wu, Hao Chen, Jiayi Ji et al.	Xiamen University; Tsinghua University; Nankai University
2026-10-19	Reusability report: multi-sample omics network inference operates in distinct robustness regimes defined by prior knowledge and data availability	Nature Machine Intelligence	Xabier Martinez‐de‐Morentin, Sameer Ahmad Khan, Itziar Cenzano et al.	King Abdullah University of Science and Technology; Ilia State University; Karolinska University Hospital; …
2026-10-19	DReX: An explainable deep learning-based multimodal recommendation framework	Knowledge-Based Systems	Adamya Shyam, Venkateswara Rao Kagita, Bharti Rana et al.	University of Delhi; National Institute of Technology Warangal
2026-10-17	CorrCLIPv2: Harnessing Unlabeled Images for Open-Vocabulary Semantic Segmentation	International Journal of Computer Vision	D H Zhang, Fagui Liu, Quan Tang et al.	South China University of Technology; Peng Cheng Laboratory
2026-10-17	MonoPRIO: Adaptive prior conditioning for unified monocular 3D object detection	Pattern Recognition	Leon Davies, Qinggang Meng, Mohamad Saada et al.	Loughborough University; University of Southern Denmark
2026-10-16	ITEACH-Net: Inverted teacher-student search network for emotion recognition in conversation	Artificial Intelligence	Haiyang Sun, Zheng Lian, Chenglong Wang et al.	Chinese Academy of Sciences; Institute of Automation; University of Chinese Academy of Sciences; …
2026-10-15	pDOC-STANet: A spatiotemporal attention network for automatic assessment of prolonged disorders of consciousness using fNIRS	Applied Intelligence	Zehai Li, Yuxin Xing, Shuwei Wang et al.	Zhejiang Normal University; Wenzhou Medical University; Zhejiang Taizhou Hospital; …
2026-10-14	Dynamic gain neuromodulation attenuates stability gaps during continual joint training	Neural Networks	Alejandro Rodriguez-Garcia, Anindya Ghosh, Srikanth Ramaswamy	Newcastle University
2026-10-12	Gaussian Splatting for real-time scene reconstruction: Methods, systems, and trade-offs	Pattern Recognition	Ashim Dahal, Rabab Abdelfattah, Nick Rahimi	University of Southern Mississippi
2026-10-11	LiteSent: a lightweight adaptive multi-scale framework for social media and review-based sentiment classification	Knowledge-Based Systems	Dharmendra Dangi, Dheeraj Kumar Dixit, Amit Bhagat	Indian Institute of Information Technology Bhopal; Madhav Institute of Technology & Science; Maulana Azad National Institute of Technology
2026-10-10	Adjusting modal contributions via differential-driven SoftMax fusion for RGB-IR object detection	Neural Networks	Hang Yu, Jun Zhang, Rui Ding et al.	Chongqing University; Civil Aviation Administration of China
2026-10-08	JTCSE: Joint tensor-modulus constraints and cross-attention for unsupervised contrastive learning of sentence embeddings	Neural Networks	Tianyu Zong, Bingkang Shi, Hongzhu Yi et al.	University of Chinese Academy of Sciences
2026-10-06	Chronologically consistent large language models	Journal of Financial Economics	Songrun He, Linying Lv, Asaf Manela et al.	Chinese University of Hong Kong; Washington University in St. Louis; University of Iowa
2026-10-03	Uncertainty quantification for trustworthy deep learning: Methods and measures	Neural Networks	H. Martin Gillis, Thomas P. Trappenberg	Dalhousie University
2026-10-02	RL-Axial: Learning When to Compute Global Context for Multimodal Segmentation	Cognitive Computation	Dong Xing, Hang Yang, Jinhe Zhang et al.	Chinese Academy of Sciences; Changchun Institute of Optics, Fine Mechanics and Physics; University of Chinese Academy of Sciences
2026-10-01	TFMNet: A Decomposition-Driven Hierarchical Framework for Multi-Step Forecasting of Nonstationary Industrial Time Series	Expert Systems with Applications	Wenkui Bian, Dakuo He, Runda Jia et al.	Northeastern University; Beijing General Research Institute of Mining and Metallurgy
2026-10-01	Alzheimer’s multimodal diagnosis: enhancing cross-attention between speech and text	Neural Computing and Applications	Kewen Ding, Azadeh Noori Hoshyar, Tanusri Bhattacharya et al.	Federation University; Western Sydney University; Myer Foundation; …
2026-10-01	ARION: Attention-Optimized Transformer Inference on Encrypted Data	Expert Systems with Applications	Linhan Yang, Jingwei Chen, Wangchen Dai et al.	Sun Yat-sen University; Chongqing Institute of Green and Intelligent Technology; University of Chinese Academy of Sciences; …
2026-10-01	Rebuilding to remember: Reconstruction-driven regularization for information-preserving in clustering graph pooling	Pattern Recognition	Wenju Hou, Jie Hong, Jialin Liu et al.	Jilin University; Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University; Sun Yat-sen University
2026-10-01	SYNAPSE-X: a calibration-aware vision transformer framework for selective referral in multi-class brain tumor MRI classification	Neural Computing and Applications	Sadaf Tabatabaee, Mohammad T. Khasawneh	Binghamton University
2026-10-01	Incentive deadlocks and collaborative breakthroughs in digital transformation: an agent‑based evolutionary game of platform strategies for traditional logistics enterprises	Transportation Research Part E Logistics and Transportation Review	Yutong Wu, Weimin Ma	Tongji University
2026-10-01	DIRU: dendrite-inspired recurrent units for learning chaotic dynamics and neonatal epilepsy time series	Neural Computing and Applications	Alessandro Crimi, Cristiano Micheli, Tiziana Currieri et al.	University of Agriculture in Krakow; AGH University of Krakow; Technische Universität Ilmenau; …
2026-10-01	RDD: Improving Structure from Motion with a Robust Feature Detector and Descriptor	International Journal of Computer Vision	G Chen, Tianwen Fu, Haiwei Chen et al.	University of Southern California; Creative Technologies (United States)
2026-10-01	ANNE: adaptive neuron network expansion for 2D medical image segmentation	Applied Intelligence	Abel A. Reyes, Sidike Paheding	Michigan Technological University; Fairfield University
2026-10-01	From 3D perception to safety reasoning: an intelligent hybrid framework for real-time underground mine monitoring	Expert Systems with Applications	Pasindu Ranasinghe, Simit Raval, Dibyayan Patra et al.	UNSW Sydney; University of Southern Queensland
2026-10-01	CLIDD: Cross-Layer Independent Deformable Description for Efficient and Discriminative Local Feature Representation	International Journal of Computer Vision	Haodi Yao, Fenghua He, Ning Hao et al.	Harbin Institute of Technology; Beijing Institute for General Artificial Intelligence
2026-10-01	HR-INR: Continuous Space-Time Video Super-Resolution via Event Camera	International Journal of Computer Vision	Yunfan Lu, Yusheng Wang, Zipeng Wang et al.	The Hong Kong University of Science and Technology (Guangzhou); The University of Tokyo; Hong Kong University of Science and Technology; …
2026-10-01	Privacy Leakage on DNNs: A Survey of Model Inversion Attacks and Defenses	International Journal of Computer Vision	Hao Fang, Yixiang Qiu, Hongyao Yu et al.	Tsinghua Shenzhen International Graduate School; Tsinghua University; Harbin Institute of Technology; …
2026-09-30	ASSMamba: Prototype-conditioned spectral routing and direction-aware state-space learning for hyperspectral image classification	Expert Systems with Applications	Lei Zhu, Yikai Su, Liang Dong et al.
2026-09-30	TIC: Co-optimization of training and inference for efficient image-text retrieval	Neural Networks	尤忠祥, Shiyuan Yang, Zhixin Li	Guangxi Normal University
2026-09-30	Towards optimized forward–forward training for neural networks	Artificial Intelligence Review	Yomna Abdulgawad Elnady, Amany Mahmoud Sarhan, Mohammad Ali Eita	Tanta University; ElSewedy University of Technology
2026-09-29	Rethinking linear attention as fast weight programmers with routing and nonlinearity	Expert Systems with Applications	Yuan Cao, Dong Wang	Beijing Jiaotong University
2026-09-28	Self-Organized Context Dependent Processing in Neural Networks	Cognitive Computation	Hao GuangFu, Yang Chen, Sainan Qin et al.	Chinese Academy of Sciences; Institute of Automation; University of Chinese Academy of Sciences; …
2026-09-28	Exponential decay-augmented transformers for interpretable temporal reasoning	Knowledge-Based Systems	Jothi Prakash V, S. Arul Antran Vijay	Karpagam Academy of Higher Education
2026-09-28	CausalCACTUS: A Causally Consistent and Context-Aware Framework for Counterfactual Explanations	Machine Learning	Zhendong Wang, Diego García, José María Enguita et al.	KTH Royal Institute of Technology; Universidad de Oviedo
2026-09-28	Mapping the RAG landscape: a four-axis taxonomy of efficiency, defense, interactivity, and reasoning	Artificial Intelligence Review	Meghana Sunil, Vaddepalli Shravya, Shravan Venkatraman et al.	Vellore Institute of Technology University; Mohamed bin Zayed University of Artificial Intelligence
2026-09-28	scDEAN: a lightweight adaptive fusion model for clustering scRNA-seq data	Applied Intelligence	Subhashis Chatterjee, Rohit Bose	Indian Institute of Technology Dhanbad
2026-09-28	DAMEL: Dual-axis multi-expert learning for class-imbalanced learning	Knowledge-Based Systems	Hyuck Lee, Taemin Park, Heeyoung Kim	Korea Advanced Institute of Science and Technology

Cite this page

Scholar4AI. (2026). Softmax function. Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/softmax-function

@misc{scholar4ai-equations-softmax-function,
  author = {{Scholar4AI}},
  title = {Softmax function},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/softmax-function}},
  urldate = {2026-10-26},
  note = {Journal Research Rankings; data from OpenAlex (CC0); licensed CC BY-NC 4.0}
}

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