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The geometric evolution of token representations in large language models (LLMs) presents a fundamental paradox: while human language inherently organizes semantic information in low-dimensional spaces ($\sim 10^1$ dimensions), modern LLMs…

Computation and Language · Computer Science 2025-03-31 Zhuo-Yang Song , Zeyu Li , Qing-Hong Cao , Ming-xing Luo , Hua Xing Zhu

We propose a method to create document representations that reflect their internal structure. We modify Tree-LSTMs to hierarchically merge basic elements such as words and sentences into blocks of increasing complexity. Our Structure…

Computation and Language · Computer Science 2019-10-08 Khalil Mrini , Claudiu Musat , Michael Baeriswyl , Martin Jaggi

Large language models (LLMs) are in need of sufficient contexts to handle many critical applications, such as retrieval augmented generation and few-shot learning. However, due to the constrained window size, the LLMs can only access to the…

Computation and Language · Computer Science 2024-01-17 Ninglu Shao , Shitao Xiao , Zheng Liu , Peitian Zhang

Representation learning is important for solving sequence-to-sequence problems in natural language processing. Representation learning transforms raw data into vector-form representations while preserving their features. However, data with…

Computation and Language · Computer Science 2023-01-12 Yunhao Yang , Zhaokun Xue , Andrew Whinston

The latent code of the recent popular model StyleGAN has learned disentangled representations thanks to the multi-layer style-based generator. Embedding a given image back to the latent space of StyleGAN enables wide interesting semantic…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Shanyan Guan , Ying Tai , Bingbing Ni , Feida Zhu , Feiyue Huang , Xiaokang Yang

We address the problem of learning hierarchical deep neural network policies for reinforcement learning. In contrast to methods that explicitly restrict or cripple lower layers of a hierarchy to force them to use higher-level modulating…

Machine Learning · Computer Science 2018-09-05 Tuomas Haarnoja , Kristian Hartikainen , Pieter Abbeel , Sergey Levine

A powerful and flexible approach to structured prediction consists in embedding the structured objects to be predicted into a feature space of possibly infinite dimension by means of output kernels, and then, solving a regression problem in…

Machine Learning · Statistics 2020-11-03 Luc Brogat-Motte , Alessandro Rudi , Céline Brouard , Juho Rousu , Florence d'Alché-Buc

We extend the framework of variational autoencoders to represent transformations explicitly in the latent space. In the family of hierarchical graphical models that emerges, the latent space is populated by higher order objects that are…

Machine Learning · Computer Science 2020-04-24 Giorgio Giannone , Saeed Saremi , Jonathan Masci , Christian Osendorfer

We extend the recent latent recurrent modeling to sequential input streams. By interleaving fast, recurrent latent updates with self-organizational ability between slow observation updates, our method facilitates the learning of stable…

Machine Learning · Computer Science 2026-04-23 Shota Takashiro , Masanori Koyama , Takeru Miyato , Yusuke Iwasawa , Yutaka Matsuo , Kohei Hayashi

This paper addresses the limitations of large language models in understanding long-term context. It proposes a model architecture equipped with a long-term memory mechanism to improve the retention and retrieval of semantic information…

Computation and Language · Computer Science 2025-05-30 Yue Xing , Tao Yang , Yijiashun Qi , Minggu Wei , Yu Cheng , Honghui Xin

Large Language Models (LLMs) have been shown to organize the representations of input sequences into straighter neural trajectories in their deep layers, which has been hypothesized to facilitate next-token prediction via linear…

Computation and Language · Computer Science 2026-02-02 Eghbal A. Hosseini , Yuxuan Li , Yasaman Bahri , Declan Campbell , Andrew Kyle Lampinen

This research aims to unravel how large language models (LLMs) iteratively refine token predictions through internal processing. We utilized a logit lens technique to analyze the model's token predictions derived from intermediate…

Computation and Language · Computer Science 2025-06-10 Jaturong Kongmanee

Source code representation with deep learning techniques is an important research field. There have been many studies that learn sequential or structural information for code representation. But sequence-based models and non-sequence-models…

Software Engineering · Computer Science 2023-03-15 Kechi Zhang , Zhuo Li , Zhi Jin , Ge Li

This paper describes a hierarchical learning strategy for generating sparse representations of multivariate datasets. The hierarchy arises from approximation spaces considered at successively finer scales. A detailed analysis of stability,…

Machine Learning · Statistics 2019-10-23 Prashant Shekhar , Abani Patra

Topology optimization enables the design of highly efficient and complex structures, but conventional iterative methods, such as SIMP-based approaches, often suffer from high computational costs and sensitivity to initial conditions.…

Computational Engineering, Finance, and Science · Computer Science 2025-09-18 Aaron Lutheran , Srijan Das , Alireza Tabarraei

Although Multimodal Large Language Models (MLLMs) have demonstrated remarkable capabilities in vision, language, and video understanding tasks, scaling them to long-form speech remains a critical bottleneck due to the explosive growth of…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-03 Junseok Lee , Sangyong Lee , Chang-Jae Chun

We present a geometric framework for understanding Transformer-based language models, drawing an explicit analogy to General Relativity. Queries and keys induce an effective metric on representation space, and attention acts as a discrete…

Machine Learning · Computer Science 2025-11-06 Riccardo Di Sipio , Jairo Diaz-Rodriguez , Luis Serrano

Latent space models for network data characterize each node through a vector of latent features whose pairwise similarities define the edge probabilities among the pairs of nodes. Although this formulation has led to successful…

Methodology · Statistics 2026-04-06 Federico Pavone , Daniele Durante , Robin J. Ryder

Kernel classifiers and regressors designed for structured data, such as sequences, trees and graphs, have significantly advanced a number of interdisciplinary areas such as computational biology and drug design. Typically, kernels are…

Machine Learning · Computer Science 2020-01-14 Hanjun Dai , Bo Dai , Le Song

Foundation models for structured electronic health records (EHRs) are pretrained on longitudinal sequences of timestamped clinical events to learn adaptable patient representations. Tokenization -- how these timelines are converted into…

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