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Monte Carlo methods are often necessary for the implementation of optimal Bayesian estimators. A fundamental technique that can be used to generate samples from virtually any target probability distribution is the so-called rejection…

Computation · Statistics 2011-11-22 Luca Martino , Joaquín Míguez

We study channel simulation and distributed matching, two fundamental problems with several applications to machine learning, using a recently introduced generalization of the standard rejection sampling (RS) algorithm known as Ensemble…

Information Theory · Computer Science 2025-10-08 Buu Phan , Ashish Khisti

Speculative decoding is a promising approach for accelerating large language models. The primary idea is to use a lightweight draft model to speculate the output of the target model for multiple subsequent timesteps, and then verify them in…

Computation and Language · Computer Science 2025-11-06 Yepeng Weng , Qiao Hu , Xujie Chen , Li Liu , Dianwen Mei , Huishi Qiu , Jiang Tian , Zhongchao Shi

The recent advancements in large language models (LLMs) have been extraordinary, yet the escalating inference costs associated with them present challenges in real-world applications. To address these challenges, we propose a novel approach…

Computation and Language · Computer Science 2024-06-07 Jiahao Liu , Qifan Wang , Jingang Wang , Xunliang Cai

Aligning large language models (LLMs) with human preferences has become a critical step in their development. Recent research has increasingly focused on test-time alignment, where additional compute is allocated during inference to enhance…

Computation and Language · Computer Science 2025-09-24 Bolian Li , Yanran Wu , Xinyu Luo , Ruqi Zhang

Subset selection from massive data with noised information is increasingly popular for various applications. This problem is still highly challenging as current methods are generally slow in speed and sensitive to outliers. To address the…

Machine Learning · Computer Science 2014-11-18 Feiyun Zhu , Bin Fan , Xinliang Zhu , Ying Wang , Shiming Xiang , Chunhong Pan

The dominant approach to generating from language models subject to some constraint is locally constrained decoding (LCD), incrementally sampling tokens at each time step such that the constraint is never violated. Typically, this is…

Speculative decoding has emerged as an effective approach for accelerating autoregressive inference by parallelizing token generation through a draft-then-verify paradigm. However, existing methods rely on static drafting lengths and rigid…

Computation and Language · Computer Science 2026-05-29 Jaydip Sen , Subhasis Dasgupta , Hetvi Waghela

This chapter explores advancements in decoding strategies for large language models (LLMs), focusing on enhancing the Locally Typical Sampling (LTS) algorithm. Traditional decoding methods, such as top-k and nucleus sampling, often struggle…

Computation and Language · Computer Science 2025-06-12 Jaydip Sen , Saptarshi Sengupta , Subhasis Dasgupta

Autoregressive decoding in Large Language Models (LLMs) generates one token per step, causing high inference latency. Speculative decoding (SD) mitigates this through a guess-and-verify strategy, but existing training-free variants face…

Computation and Language · Computer Science 2026-04-17 Zihong Zhang , Zuchao Li , Lefei Zhang , Ping Wang , Hai Zhao

Accents play a pivotal role in shaping human communication, enhancing our ability to convey and comprehend messages with clarity and cultural nuance. While there has been significant progress in Automatic Speech Recognition (ASR),…

Computation and Language · Computer Science 2025-06-24 Bonaventure F. P. Dossou

Large language models (LLMs) suffer from high inference latency due to the auto-regressive decoding process. Speculative decoding accelerates inference by generating multiple draft tokens using a lightweight model and verifying them in…

Machine Learning · Computer Science 2025-05-27 Yixuan Wang , Yijun Liu , Shiyu ji , Yuzhuang Xu , Yang Xu , Qingfu Zhu , Wanxiang Che

Large language models (LLMs) have recently shown great advances in a variety of tasks, including natural language understanding and generation. However, their use in high-stakes decision-making scenarios is still limited due to the…

Computation and Language · Computer Science 2023-11-14 Jiefeng Chen , Jinsung Yoon , Sayna Ebrahimi , Sercan O Arik , Tomas Pfister , Somesh Jha

Aligning large language models (LLMs) with human preferences is essential for their applications. Recently, decoding-time alignment has emerged as an effective plug-and-play technique that avoids fine-tuning model parameters. This approach…

Computation and Language · Computer Science 2025-08-05 Bolian Li , Yifan Wang , Anamika Lochab , Ananth Grama , Ruqi Zhang

Speculative decoding (SD) accelerates LLM inference by verifying draft tokens in parallel. However, this method presents a critical trade-off: it improves throughput in low-load, memory-bound systems but degrades performance in high-load,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-04 Rui Li , Zhaoning Zhang , Libo Zhang , Huaimin Wang , Xiang Fu , Zhiquan Lai

How can we detect anomalies: that is, samples that significantly differ from a given set of high-dimensional data, such as images or sensor data? This is a practical problem with numerous applications and is also relevant to the goal of…

Machine Learning · Computer Science 2022-06-16 Adam Goodge , Bryan Hooi , See Kiong Ng , Wee Siong Ng

Large language models (LLMs) have achieved impressive results on multi-step mathematical reasoning, yet at the cost of high computational overhead. This challenge is particularly acute for test-time scaling methods such as parallel…

Machine Learning · Computer Science 2026-03-24 Yuanlin Chu , Bo Wang , Xiang Liu , Hong Chen , Aiwei Liu , Xuming Hu

Speculative sampling has emerged as an important technique for accelerating the auto-regressive generation process of large language models (LLMs) by utilizing a draft-then-verify mechanism to produce multiple tokens per forward pass. While…

Computation and Language · Computer Science 2025-03-12 Weilin Zhao , Tengyu Pan , Xu Han , Yudi Zhang , Ao Sun , Yuxiang Huang , Kaihuo Zhang , Weilun Zhao , Yuxuan Li , Jianyong Wang , Zhiyuan Liu , Maosong Sun

Inference with modern Large Language Models (LLMs) is expensive and time-consuming, and speculative sampling has proven to be an effective solution. Most speculative sampling methods such as EAGLE use a static draft tree, implicitly…

Computation and Language · Computer Science 2024-07-02 Yuhui Li , Fangyun Wei , Chao Zhang , Hongyang Zhang

Autoregressive decoding inherently limits the inference throughput of Large Language Model (LLM) due to its sequential dependency. Speculative decoding mitigates this by verifying multiple predicted tokens in parallel, but its efficiency…

Computation and Language · Computer Science 2025-10-27 Siran Liu , Yang Ye , Qianchao Zhu , Zane Cao , Yongchao He