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The Softmax function is used in the final layer of nearly all existing sequence-to-sequence models for language generation. However, it is usually the slowest layer to compute which limits the vocabulary size to a subset of most frequent…

Computation and Language · Computer Science 2019-03-25 Sachin Kumar , Yulia Tsvetkov

Dual-encoder (DE) models are widely used in retrieval tasks, most commonly studied on open QA benchmarks that are often characterized by multi-class and limited training data. In contrast, their performance in multi-label and data-rich…

Machine Learning · Computer Science 2024-03-19 Nilesh Gupta , Devvrit Khatri , Ankit S Rawat , Srinadh Bhojanapalli , Prateek Jain , Inderjit Dhillon

In this paper, we propose Selective Output Smoothing Regularization, a novel regularization method for training the Convolutional Neural Networks (CNNs). Inspired by the diverse effects on training from different samples, Selective Output…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Xuan Cheng , Tianshu Xie , Xiaomin Wang , Qifeng Weng , Minghui Liu , Jiali Deng , Ming Liu

Recent advancements in discrete image generation showed that scaling the VQ codebook size significantly improves reconstruction fidelity. However, training generative models with a large VQ codebook remains challenging, typically requiring…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Shufan Li , Jiuxiang Gu , Kangning Liu , Zhe Lin , Aditya Grover , Jason Kuen

Loss functions play a crucial role in deep metric learning thus a variety of them have been proposed. Some supervise the learning process by pairwise or tripletwise similarity constraints while others take advantage of structured similarity…

Machine Learning · Computer Science 2019-11-25 Xinshao Wang , Elyor Kodirov , Yang Hua , Neil Robertson

Medical images commonly exhibit multiple abnormalities. Predicting them requires multi-class classifiers whose training and desired reliable performance can be affected by a combination of factors, such as, dataset size, data source,…

Image and Video Processing · Electrical Eng. & Systems 2021-11-16 Sivaramakrishnan Rajaraman , Ghada Zamzmi , Sameer Antani

As language models grow ever larger, so do their vocabularies. This has shifted the memory footprint of LLMs during training disproportionately to one single layer: the cross-entropy in the loss computation. Cross-entropy builds up a logit…

Machine Learning · Computer Science 2025-03-12 Erik Wijmans , Brody Huval , Alexander Hertzberg , Vladlen Koltun , Philipp Krähenbühl

Semantic segmentation is a scene understanding task at the heart of safety-critical applications where robustness to corrupted inputs is essential. Implicit Background Estimation (IBE) has demonstrated to be a promising technique to improve…

Computer Vision and Pattern Recognition · Computer Science 2020-09-03 Charles Lehman , Dogancan Temel , Ghassan AlRegib

This paper focusses on the optimal implementation of a Mean Variance Estimation network (MVE network) (Nix and Weigend, 1994). This type of network is often used as a building block for uncertainty estimation methods in a regression…

Machine Learning · Statistics 2023-08-04 Laurens Sluijterman , Eric Cator , Tom Heskes

Recent development of Deep Reinforcement Learning (DRL) has demonstrated superior performance of neural networks in solving challenging problems with large or even continuous state spaces. One specific approach is to deploy neural networks…

Machine Learning · Computer Science 2022-03-15 Martin Gottwald , Sven Gronauer , Hao Shen , Klaus Diepold

Assessing disease severity with ordinal classes, where each class reflects increasing severity levels, benefits from loss functions designed for this ordinal structure. Traditional categorical loss functions, like Cross-Entropy (CE), often…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Gorkem Polat , Ümit Mert Çağlar , Alptekin Temizel

A common practice in most of deep convolutional neural architectures is to employ fully-connected layers followed by Softmax activation to minimize cross-entropy loss for the sake of classification. Recent studies show that substitution or…

Machine Learning · Computer Science 2017-10-23 Arash Shahriari

Sparse mixture of experts (SMoE) offers an appealing solution to scale up the model complexity beyond the mean of increasing the network's depth or width. However, we argue that effective SMoE training remains challenging because of the…

Artificial Intelligence · Computer Science 2025-05-20 Nam V. Nguyen , Huy Nguyen , Quang Pham , Van Nguyen , Savitha Ramasamy , Nhat Ho

Extreme learning machine (ELM) as an emerging branch of shallow networks has shown its excellent generalization and fast learning speed. However, for blended data, the robustness of ELM is weak because its weights and biases of hidden nodes…

Machine Learning · Computer Science 2014-09-24 Bo Han , Bo He , Mengmeng Ma , Tingting Sun , Tianhong Yan , Amaury Lendasse

Neural networks trained on standard image classification data sets are shown to be less resistant to data set bias. It is necessary to comprehend the behavior objective function that might correspond to superior performance for data with…

Machine Learning · Computer Science 2022-11-16 Gnyanesh Bangaru , Lalith Bharadwaj Baru , Kiran Chakravarthula

This paper proposes a way to combine the Mesh Adaptive Direct Search (MADS) algorithm with the Cross-Entropy (CE) method for non smooth constrained optimization. The CE method is used as a Search step by the MADS algorithm. The result of…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Romain Couderc , Jean Bigeon

Most of the parameters in large vocabulary models are used in embedding layer to map categorical features to vectors and in softmax layer for classification weights. This is a bottle-neck in memory constraint on-device training applications…

Machine Learning · Computer Science 2018-11-21 Ehsan Variani , Ananda Theertha Suresh , Mitchel Weintraub

Since the BOSS competition, in 2010, most steganalysis approaches use a learning methodology involving two steps: feature extraction, such as the Rich Models (RM), for the image representation, and use of the Ensemble Classifier (EC) for…

Multimedia · Computer Science 2018-01-15 Lionel Pibre , Pasquet Jérôme , Dino Ienco , Marc Chaumont

Deep subspace clustering networks have attracted much attention in subspace clustering, in which an auto-encoder non-linearly maps the input data into a latent space, and a fully connected layer named self-expressiveness module is…

Computer Vision and Pattern Recognition · Computer Science 2021-09-01 Zhihao Peng , Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

Softmax is popular normalization method used in machine learning. Deep learning solutions like Transformer or BERT use the softmax function intensively, so it is worthwhile to optimize its performance. This article presents our methodology…

Mathematical Software · Computer Science 2019-05-28 Jacek Czaja , Michal Gallus , Tomasz Patejko , Jian Tang