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Transformers have dominated sequence processing tasks for the past seven years -- most notably language modeling. However, the inherent quadratic complexity of their attention mechanism remains a significant bottleneck as context length…

Computation and Language · Computer Science 2025-10-08 Alexander M. Fichtl , Jeremias Bohn , Josefin Kelber , Edoardo Mosca , Georg Groh

Theoretical efforts to prove advantages of Transformers in comparison with classical architectures such as feedforward and recurrent neural networks have mostly focused on representational power. In this work, we take an alternative…

Machine Learning · Statistics 2025-03-17 Alireza Mousavi-Hosseini , Clayton Sanford , Denny Wu , Murat A. Erdogdu

Transformers were initially introduced for natural language processing (NLP) tasks, but fast they were adopted by most deep learning fields, including computer vision. They measure the relationships between pairs of input tokens (words in…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Robin Courant , Maika Edberg , Nicolas Dufour , Vicky Kalogeiton

Time series forecasting is a key component in many industrial and business decision processes and recurrent neural network (RNN) based models have achieved impressive progress on various time series forecasting tasks. However, most of the…

Machine Learning · Computer Science 2021-01-26 Zekai Chen , Jiaze E , Xiao Zhang , Hao Sheng , Xiuzheng Cheng

Standard transformers entangle all computation in a single residual stream, obscuring which components perform which functions. We introduce the Dual-Stream Transformer, which decomposes the residual stream into two functionally distinct…

Computation and Language · Computer Science 2026-03-10 J. Clayton Kerce , Alexis Fox

Many machine learning tasks such as multiple instance learning, 3D shape recognition, and few-shot image classification are defined on sets of instances. Since solutions to such problems do not depend on the order of elements of the set,…

Machine Learning · Computer Science 2019-05-28 Juho Lee , Yoonho Lee , Jungtaek Kim , Adam R. Kosiorek , Seungjin Choi , Yee Whye Teh

Whereas deep neural networks were first mostly used for classification tasks, they are rapidly expanding in the realm of structured output problems, where the observed target is composed of multiple random variables that have a rich joint…

Neural and Evolutionary Computing · Computer Science 2016-11-15 Kyunghyun Cho , Aaron Courville , Yoshua Bengio

Viewing Transformers as interacting particle systems, we describe the geometry of learned representations when the weights are not time dependent. We show that particles, representing tokens, tend to cluster toward particular limiting…

Machine Learning · Computer Science 2024-02-14 Borjan Geshkovski , Cyril Letrouit , Yury Polyanskiy , Philippe Rigollet

Interpretability is an important aspect of the trustworthiness of a model's predictions. Transformer's predictions are widely explained by the attention weights, i.e., a probability distribution generated at its self-attention unit (head).…

Computation and Language · Computer Science 2021-06-03 Rishabh Bhardwaj , Navonil Majumder , Soujanya Poria , Eduard Hovy

The Transformer architecture has become a cornerstone of modern artificial intelligence, but its core self-attention mechanism suffers from a complexity bottleneck that scales quadratically with sequence length, severely limiting its…

Machine Learning · Computer Science 2025-08-29 Zhongpan Tang

State-of-the-art deep reading comprehension models are dominated by recurrent neural nets. Their sequential nature is a natural fit for language, but it also precludes parallelization within an instances and often becomes the bottleneck for…

Computation and Language · Computer Science 2017-11-15 Felix Wu , Ni Lao , John Blitzer , Guandao Yang , Kilian Weinberger

We present a novel multi-parent crossover operator in genetic algorithms (GAs) called ``Deep Neural Crossover'' (DNC). Unlike conventional GA crossover operators that rely on a random selection of parental genes, DNC leverages the…

Neural and Evolutionary Computing · Computer Science 2024-07-22 Eliad Shem-Tov , Achiya Elyasaf

Transformers have achieved remarkable success in time series modeling, yet their internal mechanisms remain opaque. This work demystifies the Transformer encoder by establishing its fundamental equivalence to a Graph Convolutional Network…

Machine Learning · Computer Science 2025-10-21 Chen Zhang , Weixin Bu , Wendong Xu , Runsheng Yu , Yik-Chung Wu , Ngai Wong

The quadratic complexity of dot-product attention introduced in Transformer remains a fundamental bottleneck impeding the progress of foundation models toward unbounded context lengths. Addressing this challenge, we introduce the Deep…

Machine Learning · Computer Science 2025-09-03 Yifan Zhang

Graph learning architectures based on the k-dimensional Weisfeiler-Leman (k-WL) hierarchy offer a theoretically well-understood expressive power. However, such architectures often fail to deliver solid predictive performance on real-world…

Machine Learning · Computer Science 2024-11-11 Luis Müller , Daniel Kusuma , Blai Bonet , Christopher Morris

While Transformer architectures have demonstrated impressive scalability across domains, they continue to face challenges in long-context reasoning, computational efficiency, and structural generalization - largely due to rigid layer…

Computation and Language · Computer Science 2025-10-03 Haochen You , Baojing Liu

Modern neural networks of the transformer family require the practitioner to decide, before training begins, how many attention heads to use, how deep the network should be, and how wide each component should be. These decisions are made…

Machine Learning · Computer Science 2026-04-03 Giansalvo Cirrincione

Transformer tends to overallocate attention to irrelevant context. In this work, we introduce Diff Transformer, which amplifies attention to the relevant context while canceling noise. Specifically, the differential attention mechanism…

Computation and Language · Computer Science 2025-04-08 Tianzhu Ye , Li Dong , Yuqing Xia , Yutao Sun , Yi Zhu , Gao Huang , Furu Wei

We study the capabilities of the transformer architecture with varying depth. Specifically, we designed a novel set of sequence learning tasks to systematically evaluate and comprehend how the depth of transformer affects its ability to…

Machine Learning · Computer Science 2024-04-03 Xingwu Chen , Difan Zou

Learning vector representations for programs is a critical step in applying deep learning techniques for program understanding tasks. Various neural network models are proposed to learn from tree-structured program representations, e.g.,…

Software Engineering · Computer Science 2023-01-10 Wenhan Wang , Kechi Zhang , Ge Li , Shangqing Liu , Anran Li , Zhi Jin , Yang Liu