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Quantum loop models are well studied objects in the context of lattice gauge theories and topological quantum computing. They usually carry long range entanglement that is captured by the topological entanglement entropy. I consider…

Quantum Physics · Physics 2024-03-06 Zhao Zhang

Transformer language models encode the notion of word order using positional information. Most commonly, this positional information is represented by absolute position embeddings (APEs), that are learned from the pretraining data. However,…

Computation and Language · Computer Science 2022-10-25 Koustuv Sinha , Amirhossein Kazemnejad , Siva Reddy , Joelle Pineau , Dieuwke Hupkes , Adina Williams

The adoption of Transformer-based architectures in the medical domain is growing rapidly. In medical imaging, the analysis of complex shapes - such as organs, tissues, or other anatomical structures - combined with the often anisotropic…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Nabil Jabareen , Dongsheng Yuan , Dingming Liu , Foo-Wei Ten , Sören Lukassen

In transformers, the positional encoding (PE) provides essential information that distinguishes the position and order amongst tokens in a sequence. Most prior investigations of PE effects on generalization were tailored to 1D input…

Machine Learning · Computer Science 2025-06-24 Takuya Ito , Luca Cocchi , Tim Klinger , Parikshit Ram , Murray Campbell , Luke Hearne

Extending LLM context windows is crucial for long range tasks. RoPE-based position interpolation (PI) methods like linear and frequency-aware scaling extend input lengths without retraining, while post-training quantization (PTQ) enables…

Machine Learning · Computer Science 2025-09-19 Ye Qiao , Sitao Huang

Hyperbolic rotation is commonly used to effectively model knowledge graphs and their inherent hierarchies. However, existing hyperbolic rotation models rely on logarithmic and exponential mappings for feature transformation. These models…

Artificial Intelligence · Computer Science 2024-11-08 Qiuyu Liang , Weihua Wang , Feilong Bao , Guanglai Gao

Auto-regressive neural sequence models have been shown to be effective across text generation tasks. However, their left-to-right decoding order prevents generation from being parallelized. Insertion Transformer (Stern et al., 2019) is an…

Computation and Language · Computer Science 2023-02-01 Zhisong Zhang , Yizhe Zhang , Bill Dolan

The distinguishing power of graph transformers is closely tied to the choice of positional encoding: features used to augment the base transformer with information about the graph. There are two primary types of positional encoding:…

Machine Learning · Computer Science 2024-08-26 Mitchell Black , Zhengchao Wan , Gal Mishne , Amir Nayyeri , Yusu Wang

Geographic data is fundamentally local. Disease outbreaks cluster in population centers, ecological patterns emerge along coastlines, and economic activity concentrates within country borders. Machine learning models that encode geographic…

Machine Learning · Computer Science 2026-02-03 Arjun Rao , Ruth Crasto , Tessa Ooms , David Rolnick , Konstantin Klemmer , Marc Rußwurm

The black-box nature of deep learning models in NLP hinders their widespread application. The research focus has shifted to Hierarchical Attribution (HA) for its ability to model feature interactions. Recent works model non-contiguous…

Computation and Language · Computer Science 2024-06-13 Qian Chen , Dongyang Li , Xiaofeng He , Hongzhao Li , Hongyu Yi

Positional encodings enable Transformers to incorporate sequential information, yet their theoretical understanding remains limited to two properties: distance attenuation and translation invariance. Because natural language lacks purely…

Machine Learning · Computer Science 2026-02-11 Zihan Gu , Ruoyu Chen , Han Zhang , Hua Zhang , Yue Hu

Embedding models play a pivot role in modern NLP applications such as IR and RAG. While the context limit of LLMs has been pushed beyond 1 million tokens, embedding models are still confined to a narrow context window not exceeding 8k…

Computation and Language · Computer Science 2024-11-08 Dawei Zhu , Liang Wang , Nan Yang , Yifan Song , Wenhao Wu , Furu Wei , Sujian Li

We propose a new class of deep reinforcement learning (RL) algorithms that model latent representations in hyperbolic space. Sequential decision-making requires reasoning about the possible future consequences of current behavior.…

Machine Learning · Computer Science 2022-10-05 Edoardo Cetin , Benjamin Chamberlain , Michael Bronstein , Jonathan J Hunt

Transformers have demonstrated outstanding performance in many applications of deep learning. When applied to time series data, transformers require effective position encoding to capture the ordering of the time series data. The efficacy…

Machine Learning · Computer Science 2024-02-21 Navid Mohammadi Foumani , Chang Wei Tan , Geoffrey I. Webb , Mahsa Salehi

Rotary Position Embeddings (RoPE) have been shown to effectively encode positional information in transformer-based language models. However, these models fail to generalize past the sequence length they were trained on. We present YaRN…

Computation and Language · Computer Science 2026-02-10 Bowen Peng , Jeffrey Quesnelle , Honglu Fan , Enrico Shippole

The non-Euclidean geometry of hyperbolic spaces has recently garnered considerable attention in the realm of representation learning. Current endeavors in hyperbolic representation largely presuppose that the underlying hierarchies can be…

Machine Learning · Computer Science 2023-06-16 Menglin Yang , Min Zhou , Rex Ying , Yankai Chen , Irwin King

Length extrapolation has attracted considerable attention recently since it allows transformers to be tested on longer sequences than those used in training. Previous research has shown that this property can be attained by using carefully…

Computation and Language · Computer Science 2023-12-20 Zhen Qin , Yiran Zhong , Hui Deng

The development of effective explainability tools for Transformers is a crucial pursuit in deep learning research. One of the most promising approaches in this domain is Layer-wise Relevance Propagation (LRP), which propagates relevance…

Machine Learning · Computer Science 2025-06-04 Yarden Bakish , Itamar Zimerman , Hila Chefer , Lior Wolf

Explaining closed-source Large Language Model (LLM) outputs is challenging because API access prevents gradient-based attribution, while perturbation methods are costly and noisy when they depend on regenerated text. We introduce…

Computation and Language · Computer Science 2026-02-20 Isaac Picov , Ritesh Goru

The prevalent use of Byte Pair Encoding (BPE) in Large Language Models (LLMs) facilitates robust handling of subword units and avoids issues of out-of-vocabulary words. Despite its success, a critical challenge persists: long tokens, rich…

Computation and Language · Computer Science 2024-11-11 Haoran Lian , Yizhe Xiong , Zijia Lin , Jianwei Niu , Shasha Mo , Hui Chen , Peng Liu , Guiguang Ding