English
Related papers

Related papers: A Quantitative Evaluation of Approximate Softmax F…

200 papers

Modern machine learning forces practitioners to choose between powerful but expensive deep networks and fast but limited classical algorithms. Here we introduce Soft Learning, a framework that maintains a library of heterogeneous…

Machine Learning · Computer Science 2026-05-20 Mohammed Aledhari , Ali Aledhari , Fatimah Aledhari , Mohamed Rahouti

Learning distributed representations, or embeddings, that encode the relational similarity patterns among objects is a relevant task in machine learning. A popular method to learn the embedding matrices $X, Y$ is optimizing a loss function…

Machine Learning · Computer Science 2025-06-03 Lorenzo Dall'Amico , Enrico Maria Belliardo

The emergence of neural network capabilities invariably leads to a significant surge in computational demands due to expanding model sizes and increased computational complexity. To reduce model size and lower inference costs, recent…

Hardware Architecture · Computer Science 2025-01-22 Guoyu Li , Shengyu Ye , Chunyun Chen , Yang Wang , Fan Yang , Ting Cao , Cheng Liu , Mohamed M. Sabry , Mao Yang

Noisy labels pose a common challenge for training accurate deep neural networks. To mitigate label noise, prior studies have proposed various robust loss functions to achieve noise tolerance in the presence of label noise, particularly…

Machine Learning · Computer Science 2025-08-05 Jialiang Wang , Xiong Zhou , Deming Zhai , Junjun Jiang , Xiangyang Ji , Xianming Liu

We empirically investigate the (negative) expected accuracy as an alternative loss function to cross entropy (negative log likelihood) for classification tasks. Coupled with softmax activation, it has small derivatives over most of its…

Machine Learning · Computer Science 2019-05-03 Ozan İrsoy

Deploying deep neural networks (DNNs) on resource-constrained edge devices such as FPGAs requires a careful balance among latency, power, and hardware resource usage, while maintaining high accuracy. Existing Lookup Table (LUT)-based DNNs…

Hardware Architecture · Computer Science 2026-01-16 Binglei Lou , Ruilin Wu , Philip Leong

This paper presents an analysis regarding an influence of the Distance Metric Learning (DML) loss functions on the supervised fine-tuning of the language models for classification tasks. We experimented with known datasets from SentEval…

Computation and Language · Computer Science 2022-11-29 Witold Sosnowski , Karolina Seweryn , Anna Wróblewska , Piotr Gawrysiak

Prompt tuning is a parameter-efficient way to deploy large-scale pre-trained models to downstream tasks by adding task-specific tokens. In terms of vision-language pre-trained (VLP) models, prompt tuning often requires a large number of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Qiong Wu , Shubin Huang , Yiyi Zhou , Pingyang Dai , Annan Shu , Guannan Jiang , Rongrong Ji

In dense retrieval, deep encoders provide embeddings for both inputs and targets, and the softmax function is used to parameterize a distribution over a large number of candidate targets (e.g., textual passages for information retrieval).…

Machine Learning · Computer Science 2024-09-04 Nicholas Monath , Will Grathwohl , Michael Boratko , Rob Fergus , Andrew McCallum , Manzil Zaheer

Function approximation is a generic process in a variety of computational problems, from data interpolation to the solution of differential equations and inverse problems. In this work, a unified approach for such techniques is…

Numerical Analysis · Mathematics 2019-10-01 Nikolaos P. Bakas

Prompt-tuning is an emerging strategy to adapt large language models (LLM) to downstream tasks by learning a (soft-)prompt parameter from data. Despite its success in LLMs, there is limited theoretical understanding of the power of…

Machine Learning · Computer Science 2023-06-07 Samet Oymak , Ankit Singh Rawat , Mahdi Soltanolkotabi , Christos Thrampoulidis

Normalization methods improve both optimization and generalization of ConvNets. To further boost performance, the recently-proposed switchable normalization (SN) provides a new perspective for deep learning: it learns to select different…

Computer Vision and Pattern Recognition · Computer Science 2019-03-12 Wenqi Shao , Tianjian Meng , Jingyu Li , Ruimao Zhang , Yudian Li , Xiaogang Wang , Ping Luo

We consider approximation rates of sparsely connected deep rectified linear unit (ReLU) and rectified power unit (RePU) neural networks for functions in Besov spaces $B^\alpha_{q}(L^p)$ in arbitrary dimension $d$, on general domains. We…

Functional Analysis · Mathematics 2022-03-25 Mazen Ali , Anthony Nouy

Learning systems match predicted scores to observations over some domain. Often, it is critical to produce accurate predictions in some subset (or region) of the domain, yet less important to accurately predict in other regions. We…

Machine Learning · Computer Science 2025-06-11 Gil I. Shamir , Manfred K. Warmuth

One of the main challenges for feature representation in deep learning-based classification is the design of appropriate loss functions that exhibit strong discriminative power. The classical softmax loss does not explicitly encourage…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Xiong Zhou , Xianming Liu , Deming Zhai , Junjun Jiang , Xin Gao , Xiangyang Ji

Transformer model has gained prominence as a popular deep neural network architecture for neural language processing (NLP) and computer vision (CV) applications. However, the extensive use of nonlinear operations, like softmax, poses a…

Hardware Architecture · Computer Science 2024-11-21 Shuai Dong , Junyi Yang , Xiaoqi Peng , Hongyang Shang , Ye Ke , Xiaofeng Yang , Hongjie Liu , Arindam Basu

This paper presents a framework in which hierarchical softmax is used to create a global hierarchical classifier. The approach is applicable for any classification task where there is a natural hierarchy among classes. We show empirical…

Machine Learning · Statistics 2023-08-03 Jetze Schuurmans , Flavius Frasincar

Recently, the robustness of deep learning models has received widespread attention, and various methods for improving model robustness have been proposed, including adversarial training, model architecture modification, design of loss…

Machine Learning · Computer Science 2023-03-23 Hao Wang , Chen Li , Jinzhe Jiang , Xin Zhang , Yaqian Zhao , Weifeng Gong

Softmax-based dot-product attention is a cornerstone of Transformer architectures, enabling remarkable capabilities such as in-context learning. However, as context lengths increase, a fundamental limitation of the softmax function emerges:…

Machine Learning · Computer Science 2026-02-12 Sai Surya Duvvuri , Nirmal Patel , Nilesh Gupta , Inderjit S. Dhillon

The training for deep neural networks (DNNs) demands immense energy consumption, which restricts the development of deep learning as well as increases carbon emissions. Thus, the study of energy-efficient training for DNNs is essential. In…

Machine Learning · Computer Science 2023-03-01 Chang Liu , Rui Zhang , Xishan Zhang , Yifan Hao , Zidong Du , Xing Hu , Ling Li , Qi Guo