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The additive margin softmax (AM-Softmax) loss has delivered remarkable performance in speaker verification. A supposed behavior of AM-Softmax is that it can shrink within-class variation by putting emphasis on target logits, which in turn…

Sound · Computer Science 2021-10-19 Lantian Li , Ruiqian Nai , Dong Wang

The maximum softmax probability (MSP) represents a default approach when evaluating uncertainty quantification for language model generation with structured output. Although cheap, it is often miscalibrated. Methods that probe the model's…

Machine Learning · Computer Science 2026-05-25 Aliai Eusebi , Alexander Herzog , Xiaoyu Liang , Marie Vasek , Enrico Mariconti , Lorenzo Cavallaro

Using a layered representation for motion estimation has the advantage of being able to cope with discontinuities and occlusions. In this paper, we learn to estimate optical flow by combining a layered motion representation with deep…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Xi Zhang , Di Ma , Xu Ouyang , Shanshan Jiang , Lin Gan , Gady Agam

Capsule Networks (CapsNet) use the Softmax function to convert the logits of the routing coefficients into a set of normalized values that signify the assignment probabilities between capsules in adjacent layers. We show that the use of…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Zhen Zhao , Ashley Kleinhans , Gursharan Sandhu , Ishan Patel , K. P. Unnikrishnan

To help evaluate and understand the latent capabilities of language models, this paper introduces an approach using optimized input embeddings, or 'soft prompts,' as a metric of conditional distance between a model and a target behavior.…

Machine Learning · Computer Science 2025-05-22 Ross Nordby

Certified verification of transformer attention requires bounding the softmax function over interval constraints on the pre-softmax scores. Existing verifiers relax softmax ndependently of the downstream objective, leaving avoidable slack.…

Machine Learning · Computer Science 2026-05-13 Navid Rezazadeh , Arash Gholami Davoodi

The softmax gating function is arguably the most popular choice in mixture of experts modeling. Despite its widespread use in practice, the softmax gating may lead to unnecessary competition among experts, potentially causing the…

Machine Learning · Statistics 2024-11-05 Huy Nguyen , Nhat Ho , Alessandro Rinaldo

Mixture of experts (MoE) has recently emerged as an effective framework to advance the efficiency and scalability of machine learning models by softly dividing complex tasks among multiple specialized sub-models termed experts. Central to…

Machine Learning · Statistics 2025-03-06 Huy Nguyen , Nhat Ho , Alessandro Rinaldo

Post-training quantization (PTQ) is the go-to compression technique for large generative models, such as stable diffusion or large language models. PTQ methods commonly keep the softmax activation in higher precision as it has been shown to…

Machine Learning · Computer Science 2023-09-06 Nilesh Prasad Pandey , Marios Fournarakis , Chirag Patel , Markus Nagel

Response functions linking regression predictors to properties of the response distribution are fundamental components in many statistical models. However, the choice of these functions is typically based on the domain of the modeled…

Methodology · Statistics 2025-02-04 Paul F. V. Wiemann , Thomas Kneib , Julien Hambuckers

The softmax loss and its variants are widely used as objectives for embedding learning, especially in applications like face recognition. However, the intra- and inter-class objectives in the softmax loss are entangled, therefore a…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Lanqing He , Zhongdao Wang , Yali Li , Shengjin Wang

Neural Network (NN) classifiers can assign extreme probabilities to samples that have not appeared during training (out-of-distribution samples) resulting in erroneous and unreliable predictions. One of the causes for this unwanted…

Signal Processing · Electrical Eng. & Systems 2020-10-12 Niccolò Antonello , Philip N. Garner

Deep convolutional neural networks (CNNs) trained with logistic and softmax losses have made significant advancement in visual recognition tasks in computer vision. When training data exhibit class imbalances, the class-wise reweighted…

Machine Learning · Computer Science 2020-03-06 Xiangrui Li , Xin Li , Deng Pan , Dongxiao Zhu

We introduce LL-RNNs (Log-Linear RNNs), an extension of Recurrent Neural Networks that replaces the softmax output layer by a log-linear output layer, of which the softmax is a special case. This conceptually simple move has two main…

Artificial Intelligence · Computer Science 2016-12-19 Marc Dymetman , Chunyang Xiao

We study the tradeoff between computational effort and classification accuracy in a cascade of deep neural networks. During inference, the user sets the acceptable accuracy degradation which then automatically determines confidence…

Machine Learning · Computer Science 2020-11-12 Konstantin Berestizshevsky , Guy Even

This work aims to develop a measure that can accurately rank the performance of various classifiers when they are tested on unlabeled data from out-of-distribution (OOD) distributions. We commence by demonstrating that conventional…

Machine Learning · Computer Science 2024-06-17 Weijie Tu , Weijian Deng , Liang Zheng , Tom Gedeon

Confidence calibration is of great importance to the reliability of decisions made by machine learning systems. However, discriminative classifiers based on deep neural networks are often criticized for producing overconfident predictions…

Machine Learning · Computer Science 2021-08-17 Yezhen Wang , Bo Li , Tong Che , Kaiyang Zhou , Ziwei Liu , Dongsheng Li

Classifiers in natural language processing (NLP) often have a large number of output classes. For example, neural language models (LMs) and machine translation (MT) models both predict tokens from a vocabulary of thousands. The Softmax…

Machine Learning · Computer Science 2022-03-22 Andreas Grivas , Nikolay Bogoychev , Adam Lopez

The Softmax loss is one of the most widely employed surrogate objectives for classification and ranking tasks. To elucidate its theoretical properties, the Fenchel-Young framework situates it as a canonical instance within a broad family of…

Machine Learning · Computer Science 2026-02-02 Yuanhao Pu , Defu Lian , Enhong Chen

Non-local (NL) block is a popular module that demonstrates the capability to model global contexts. However, NL block generally has heavy computation and memory costs, so it is impractical to apply the block to high-resolution feature maps.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Yooshin Cho , Youngsoo Kim , Hanbyel Cho , Jaesung Ahn , Hyeong Gwon Hong , Junmo Kim
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