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Next-token prediction is conventionally done using decoder-only Transformers with causal attention, as this approach allows for efficient reuse of keys and values. What if we were not compute-limited, should we still use decoder-only…

Machine Learning · Computer Science 2025-02-05 Ethan Ewer , Daewon Chae , Thomas Zeng , Jinkyu Kim , Kangwook Lee

Decoder-only transformers compute the conditional probability of the next token from a sequence of past observations. This paper derives, from first principles, inference architectures that solve the same prediction problem - and in doing…

Machine Learning · Computer Science 2026-05-18 Aditya Kudre , Heng-Sheng Chang , Prashant G. Mehta

Probabilistic next-token prediction trained using cross-entropy loss is the basis of most large language models. Given a sequence of previous values, next-token prediction assigns a probability to each possible next value in the vocabulary.…

Machine Learning · Statistics 2025-05-19 Jacob Trauger , Ambuj Tewari

Transformers, especially the decoder-only variants, are the backbone of most modern large language models; yet we do not have much understanding of their expressive power except for the simple $1$-layer case. Due to the difficulty of…

Machine Learning · Computer Science 2024-12-05 Lijie Chen , Binghui Peng , Hongxun Wu

Causal decoder-only transformer models used for generative language modelling, such as Generative Pre-trained Transformers (GPT), are trained to predict the next token in a sequence based only on its previous tokens. Despite this simple…

Computation and Language · Computer Science 2024-10-25 Nicholas Walker

Transformers replace recurrence with a memory that grows with sequence length and self-attention that enables ad-hoc lookups over past tokens. Consequently, they lack an inherent incentive to compress history into compact latent states with…

Language prediction is constrained by informational entropy intrinsic to language, such that there exists a limit to how accurate any language model can become and equivalently a lower bound to language compression. The most efficient…

Computation and Language · Computer Science 2025-11-14 Benjamin L. Badger , Matthew Neligeorge

We propose a new model for multi-token prediction in transformers, aiming to enhance sampling efficiency without compromising accuracy. Motivated by recent work that predicts the probabilities of subsequent tokens using multiple heads, we…

Machine Learning · Computer Science 2025-02-11 Artem Basharin , Andrei Chertkov , Ivan Oseledets

Multi-token prediction (MTP) has been proposed as an auxiliary objective to improve next-token prediction (NTP) in language model training but shows inconsistent improvements, underperforming in standard NLP benchmarks. We found MTP's exact…

Machine Learning · Computer Science 2026-02-17 Zayd M. K. Zuhri , Erland Hilman Fuadi , Alham Fikri Aji

We investigate the capacity of transformers to learn algorithms involving their context while solely being trained using next token prediction. We set up Markov chains with random transition matrices and we train transformers to predict the…

Machine Learning · Computer Science 2025-08-07 Simon Lepage , Jeremie Mary , David Picard

Large language models display remarkable capabilities in logical and mathematical reasoning, allowing them to solve complex tasks. Interestingly, these abilities emerge in networks trained on the simple task of next-token prediction. In…

Machine Learning · Computer Science 2024-07-31 Eran Malach

Causal Transformers are trained to predict the next token for a given context. While it is widely accepted that self-attention is crucial for encoding the causal structure of sequences, the precise underlying mechanism behind this…

Machine Learning · Statistics 2025-03-04 Michael E. Sander , Gabriel Peyré

Transformer-based language models are trained on large datasets to predict the next token given an input sequence. Despite this simple training objective, they have led to revolutionary advances in natural language processing. Underlying…

Machine Learning · Computer Science 2024-03-14 Yingcong Li , Yixiao Huang , M. Emrullah Ildiz , Ankit Singh Rawat , Samet Oymak

Next-token predictors often appear to develop internal representations of the latent world and its rules. The probabilistic nature of these models suggests a deep connection between the structure of the world and the geometry of probability…

Machine Learning · Computer Science 2026-03-18 Sasha Brenner , Thomas R. Knösche , Nico Scherf

While next-token prediction (NTP) has been the standard objective for training language models, it often struggles to capture global structure in reasoning tasks. Multi-token prediction (MTP) has recently emerged as a promising alternative,…

Machine Learning · Computer Science 2026-04-15 Jianhao Huang , Zhanpeng Zhou , Renqiu Xia , Baharan Mirzasoleiman , Weijie Su , Wei Huang

Characterizing neural networks in terms of better-understood formal systems has the potential to yield new insights into the power and limitations of these networks. Doing so for transformers remains an active area of research. Bhattamishra…

Machine Learning · Computer Science 2023-11-14 David Chiang , Peter Cholak , Anand Pillay

Large language models (LLMs) have been widely employed across various application domains, yet their black-box nature poses significant challenges to understanding how these models process input data internally to make predictions. In this…

Machine Learning · Computer Science 2025-09-03 Hangfeng He , Weijie J. Su

We present an approach to pose object recognition as next token prediction. The idea is to apply a language decoder that auto-regressively predicts the text tokens from image embeddings to form labels. To ground this prediction process in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Kaiyu Yue , Bor-Chun Chen , Jonas Geiping , Hengduo Li , Tom Goldstein , Ser-Nam Lim

In Neural Machine Translation (NMT), each token prediction is conditioned on the source sentence and the target prefix (what has been previously translated at a decoding step). However, previous work on interpretability in NMT has mainly…

Computation and Language · Computer Science 2022-11-08 Javier Ferrando , Gerard I. Gállego , Belen Alastruey , Carlos Escolano , Marta R. Costa-jussà

We study how information propagates in decoder-only Transformers, which are the architectural backbone of most existing frontier large language models (LLMs). We rely on a theoretical signal propagation analysis -- specifically, we analyse…

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