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Decoder-only Transformers often struggle with complex reasoning tasks, particularly arithmetic reasoning requiring multiple sequential operations. In this work, we identify representation collapse in the model's intermediate layers as a key…

Machine Learning · Computer Science 2025-03-21 Md Rifat Arefin , Gopeshh Subbaraj , Nicolas Gontier , Yann LeCun , Irina Rish , Ravid Shwartz-Ziv , Christopher Pal

Vector quantization is a fundamental operation for data compression and vector search. To obtain high accuracy, multi-codebook methods represent each vector using codewords across several codebooks. Residual quantization (RQ) is one such…

Machine Learning · Computer Science 2024-05-22 Iris A. M. Huijben , Matthijs Douze , Matthew Muckley , Ruud J. G. van Sloun , Jakob Verbeek

Visualization and topic modeling are widely used approaches for text analysis. Traditional visualization methods find low-dimensional representations of documents in the visualization space (typically 2D or 3D) that can be displayed using a…

Computation and Language · Computer Science 2020-10-27 Dang Pham , Tuan M. V. Le

Quantization has been proven to be an effective method for reducing the computing and/or storage cost of DNNs. However, the trade-off between the quantization bitwidth and final accuracy is complex and non-convex, which makes it difficult…

Computer Vision and Pattern Recognition · Computer Science 2020-06-11 Cheng Gong , Yao Chen , Ye Lu , Tao Li , Cong Hao , Deming Chen

Vector-quantized based models have recently demonstrated strong potential for visual prior modeling. However, existing VQ-based methods simply encode visual features with nearest codebook items and train index predictor with code-level…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Qifan Li , Jiale Zou , Jinhua Zhang , Wei Long , Xingyu Zhou , Shuhang Gu

Speech tokenization is crucial in digital speech processing, converting continuous speech signals into discrete units for various computational tasks. This paper introduces a novel speech tokenizer with broad applicability across downstream…

Machine Learning · Computer Science 2025-07-10 Wonjin Jung , Sungil Kang , Dong-Yeon Cho

In Transformer architectures, tokens\textemdash discrete units derived from raw data\textemdash are formed by segmenting inputs into fixed-length chunks. Each token is then mapped to an embedding, enabling parallel attention computations…

Machine Learning · Computer Science 2026-01-14 Zhenglun Kong , Yize Li , Fanhu Zeng , Lei Xin , Shvat Messica , Xue Lin , Pu Zhao , Manolis Kellis , Hao Tang , Marinka Zitnik

Vectorization is a compiler optimization that replaces multiple operations on scalar values with a single operation on vector values. Although common in traditional compilers such as rustc, clang, and gcc, vectorization is not common in the…

Unifying multimodal understanding, generation and reconstruction representation in a single tokenizer remains a key challenge in building unified models. Previous research predominantly attempts to address this in a dual encoder paradigm,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Sinan Du , Jiahao Guo , Bo Li , Shuhao Cui , Zhengzhuo Xu , Yifu Luo , Yongxian Wei , Kun Gai , Xinggang Wang , Kai Wu , Chun Yuan

In vector quantization the number of vectors used to construct the codebook is always an undefined problem, there is always a compromise between the number of vectors and the quantity of information lost during the compression. In this text…

Probability · Mathematics 2007-05-23 Rami Kanhouche

Vectors of data are at the heart of machine learning and data mining. Recently, vector quantization methods have shown great promise in reducing both the time and space costs of operating on vectors. We introduce a vector quantization…

Performance · Computer Science 2017-07-03 Davis W Blalock , John V Guttag

Vector quantization has emerged as a powerful tool in large-scale multimodal models, unifying heterogeneous representations through discrete token encoding. However, its effectiveness hinges on robust codebook design. Current…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Hongxuan Li , Wencheng Zhu , Huiying Xu , Xinzhong Zhu , Pengfei Zhu

A range of recent works addresses the problem of compression of sequence of tokens into a shorter sequence of real-valued vectors to be used as inputs instead of token embeddings or key-value cache. These approaches are focused on reduction…

Computation and Language · Computer Science 2025-06-24 Yuri Kuratov , Mikhail Arkhipov , Aydar Bulatov , Mikhail Burtsev

Codebook collapse is a common problem in training deep generative models with discrete representation spaces like Vector Quantized Variational Autoencoders (VQ-VAEs). We observe that the same problem arises for the alternatively designed…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Gulcin Baykal , Melih Kandemir , Gozde Unal

Nowadays, there are many diffusion and autoregressive models that show impressive results for generating images from text and other input domains. However, these methods are not intended for ultra-high-resolution image synthesis. Vector…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Maria Dziuba , Ivan Jarsky , Valeria Efimova , Andrey Filchenkov

Vector quantization is a fundamental technique for compression and large-scale nearest neighbor search. For high-accuracy operating points, multi-codebook quantization associates data vectors with one element from each of multiple…

Machine Learning · Computer Science 2025-01-08 Théophane Vallaeys , Matthew Muckley , Jakob Verbeek , Matthijs Douze

Differentiable vector graphics have enabled powerful gradient-based optimization of vector primitives directly from raster images. However, existing frameworks formulate this as a flat optimization problem, forcing hundreds to thousands of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Jaerin Lee , Kanggeon Lee , Kyoung Mu Lee

Many machine learning algorithms represent input data with vector embeddings or discrete codes. When inputs exhibit compositional structure (e.g. objects built from parts or procedures from subroutines), it is natural to ask whether this…

Machine Learning · Computer Science 2019-04-09 Jacob Andreas

In this paper a variation of the classic vector quantization problem is considered. In the standard formulation, a quantizer is designed to minimize the distortion between input and output when the number of reconstruction points is fixed.…

Information Theory · Computer Science 2021-06-01 Joseph Chataignon , Stefano Rini

Autoregressive (AR) models have recently shown strong performance in image generation, where a critical component is the visual tokenizer (VT) that maps continuous pixel inputs to discrete token sequences. The quality of the VT largely…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Huawei Lin , Tong Geng , Zhaozhuo Xu , Weijie Zhao