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The core component of attention is the scoring function, which transforms the inputs into low-dimensional queries and keys and takes the dot product of each pair. While the low-dimensional projection improves efficiency, it causes…

Machine Learning · Computer Science 2025-09-10 Yilun Kuang , Noah Amsel , Sanae Lotfi , Shikai Qiu , Andres Potapczynski , Andrew Gordon Wilson

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 study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable functions, while the other function is proper, lower…

Optimization and Control · Mathematics 2023-05-12 Duy-Nhat Phan , Sedi Bartz , Nilabja Guha , Hung M. Phan

Mixture-of-experts models provide a flexible framework for learning complex probabilistic input-output relationships by combining multiple expert models through an input-dependent gating mechanism. These models have become increasingly…

Machine Learning · Statistics 2026-04-23 Nicola Bariletto , Huy Nguyen , Nhat Ho , Alessandro Rinaldo

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

We introduce adaptive input representations for neural language modeling which extend the adaptive softmax of Grave et al. (2017) to input representations of variable capacity. There are several choices on how to factorize the input and…

Computation and Language · Computer Science 2019-02-26 Alexei Baevski , Michael Auli

Multimodal learning mimics the reasoning process of the human multi-sensory system, which is used to perceive the surrounding world. While making a prediction, the human brain tends to relate crucial cues from multiple sources of…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Lang Su , Chuqing Hu , Guofa Li , Dongpu Cao

The Gumbel-Softmax probability distribution allows learning discrete tokens in generative learning, while the Gumbel-Argmax probability distribution is useful in learning discrete structures in discriminative learning. Despite the efforts…

Machine Learning · Computer Science 2024-06-05 Hedda Cohen Indelman , Tamir Hazan

The attention mechanism in text generation is memory-bounded due to its sequential characteristics. Therefore, off-chip memory accesses should be minimized for faster execution. Although previous methods addressed this by pruning…

Hardware Architecture · Computer Science 2024-07-23 Junyoung Park , Myeonggu Kang , Yunki Han , Yanggon Kim , Jaekang Shin , Lee-Sup Kim

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

In replay-based methods for continual learning, replaying input samples in episodic memory has shown its effectiveness in alleviating catastrophic forgetting. However, the potential key factor of cross-entropy loss with softmax in causing…

Machine Learning · Computer Science 2024-01-25 Hoyong Kim , Minchan Kwon , Kangil Kim

Multi-modal learning is a fast growing area in artificial intelligence. It tries to help machines understand complex things by combining information from different sources, like images, text, and audio. By using the strengths of each…

Machine Learning · Computer Science 2025-12-22 Qihang Jin , Enze Ge , Yuhang Xie , Hongying Luo , Junhao Song , Ziqian Bi , Chia Xin Liang , Jibin Guan , Joe Yeong , Xinyuan Song , Junfeng Hao

Person re-identification is a challenging task because of the high intra-class variance induced by the unrestricted nuisance factors of variations such as pose, illumination, viewpoint, background, and sensor noise. Recent approaches…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Sinan Sabri , Zaigham Randhawa , Gianfranco Doretto

Monotonicity constraints are powerful regularizers in statistical modelling. They can support fairness in computer-aided decision making and increase plausibility in data-driven scientific models. The seminal min-max (MM) neural network…

Machine Learning · Computer Science 2024-05-28 Christian Igel

Neural networks and other machine learning models compute continuous representations, while humans communicate with discrete symbols. Reconciling these two forms of communication is desirable to generate human-readable interpretations or to…

Machine Learning · Computer Science 2021-04-05 André F. T. Martins

As multimodal learning finds applications in a wide variety of high-stakes societal tasks, investigating their robustness becomes important. Existing work has focused on understanding the robustness of vision-and-language models to…

Machine Learning · Computer Science 2022-11-07 Gaurav Verma , Vishwa Vinay , Ryan A. Rossi , Srijan Kumar

Multimodal sentiment analysis (MSA) leverages heterogeneous data sources to interpret the complex nature of human sentiments. Despite significant progress in multimodal architecture design, the field lacks comprehensive regularization…

Computation and Language · Computer Science 2023-12-20 Efthymios Georgiou , Yannis Avrithis , Alexandros Potamianos

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

Many problems in signal processing and machine learning can be formalized as weak submodular optimization tasks. For such problems, a simple greedy algorithm (\textsc{Greedy}) is guaranteed to find a solution achieving the objective with a…

Discrete Mathematics · Computer Science 2021-11-24 Abolfazl Hashemi , Haris Vikalo , Gustavo de Veciana

As the core operator of Transformers, Softmax Attention exhibits excellent global modeling capabilities. However, its quadratic complexity limits its applicability to vision tasks. In contrast, Linear Attention shares a similar formulation…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Qihang Fan , Huaibo Huang , Yuang Ai , Ran He