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We present an adaptive methodology for the solution of (linear and) non-linear time dependent problems that is especially tailored for massively parallel computations. The basic concept is to solve for large blocks of space-time unknowns…

Computational Physics · Physics 2016-08-30 Robert Dyja , Baskar Ganapathysubramanian , Kristoffer G. van der Zee

Large language models (LLMs) empowered by chain-of-thought reasoning have achieved impressive accuracy on complex tasks but suffer from excessive inference costs and latency when applied uniformly to all problems. We propose SABER…

Computation and Language · Computer Science 2025-08-15 Kai Zhao , Yanjun Zhao , Jiaming Song , Shien He , Lusheng Zhang , Qiang Zhang , Tianjiao Li

Scaling inference-time computation has enabled Large Language Models (LLMs) to achieve strong reasoning performance, but inherently sequential decoding leads to substantial latency, especially on complex tasks. Recent work on adaptive…

Machine Learning · Computer Science 2025-12-10 Long Lian , Sida Wang , Felix Juefei-Xu , Tsu-Jui Fu , Xiuyu Li , Adam Yala , Trevor Darrell , Alane Suhr , Yuandong Tian , Xi Victoria Lin

We introduce Buffer of Thoughts (BoT), a novel and versatile thought-augmented reasoning approach for enhancing accuracy, efficiency and robustness of large language models (LLMs). Specifically, we propose meta-buffer to store a series of…

Computation and Language · Computer Science 2024-10-15 Ling Yang , Zhaochen Yu , Tianjun Zhang , Shiyi Cao , Minkai Xu , Wentao Zhang , Joseph E. Gonzalez , Bin Cui

Test-time scaling (TTS) -- the dynamic allocation of compute during inference -- is a promising direction for improving reasoning in large language models (LLMs). However, a systematic comparison of well-known TTS strategies under identical…

Computation and Language · Computer Science 2025-12-02 Aradhye Agarwal , Ayan Sengupta , Tanmoy Chakraborty

Test-Time Scaling (TTS) enhances the reasoning capabilities of large language models by allocating additional inference compute to explore the solution space. However, existing parallel TTS methods typically keep branches isolated during…

Computation and Language · Computer Science 2026-05-27 Xinglin Wang , Hao Lin , Shaoxiong Feng , Peiwen Yuan , Yiwei Li , Jiayi Shi , Yueqi Zhang , Chuyi Tan , Ji Zhang , Boyuan Pan , Yao Hu , Kan Li

Reinforcement Learning (RL) has become a cornerstone for improving the performance of Large Language Models (LLMs). However, its rollout phase constitutes a significant efficiency bottleneck, mainly arising from the long-tail bubbles across…

Machine Learning · Computer Science 2026-05-12 Yuhang Xu , Kaibin Tian , Yang Tian , Zhice Yang , Yifeng Yu , Yan Li , Shengzhong Liu , Fan Wu , Guihai Chen

Current research efforts are focused on enhancing the thinking and reasoning capability of large language model (LLM) by prompting, data-driven emergence and inference-time computation. In this study, we consider stimulating language…

Computation and Language · Computer Science 2026-04-30 Ningyuan Xi , Xiaoyu Wang , Yetao Wu , Teng Chen , Qingqing Gu , Yue Zhao , Jinxian Qu , Zhonglin Jiang , Yong Chen , Luo Ji

There is growing demand for performing inference with hundreds of thousands of input tokens on trained transformer models. Inference at this extreme scale demands significant computational resources, hindering the application of…

Computation and Language · Computer Science 2025-02-13 Ryan Synk , Monte Hoover , John Kirchenbauer , Neel Jain , Alex Stein , Manli Shu , Josue Melendez Sanchez , Ramani Duraiswami , Tom Goldstein

Large Language Models (LLMs) often struggle with computational efficiency and error propagation in multi-step reasoning tasks. While recent advancements on prompting and post-training have enabled LLMs to perform step-wise reasoning, they…

Artificial Intelligence · Computer Science 2026-05-08 Yuan Sui , Yufei He , Tri Cao , Simeng Han , Yulin Chen , Bryan Hooi

Large language model inference is both memory-intensive and time-consuming, often requiring distributed algorithms to efficiently scale. Various model parallelism strategies are used in multi-gpu training and inference to partition…

Diffusion large language models (dLLMs) have recently drawn considerable attention within the research community as a promising alternative to autoregressive generation, offering parallel token prediction and lower inference latency. Yet,…

Computation and Language · Computer Science 2025-10-01 Zigeng Chen , Gongfan Fang , Xinyin Ma , Ruonan Yu , Xinchao Wang

Training Large Language Models (LLMs) typically involves a two-stage pipeline at the output layer: hidden states are projected into vocabulary logits via a linear transformation (lm_head), followed by cross-entropy loss computation against…

Machine Learning · Computer Science 2025-11-25 Jianbing Dong , Jianbin Chang

Large language models (LLMs) increasingly solve difficult problems by producing "reasoning traces" before emitting a final response. However, it remains unclear how accuracy and decision commitment evolve along a reasoning trajectory, and…

Machine Learning · Computer Science 2026-02-02 Marthe Ballon , Brecht Verbeken , Vincent Ginis , Andres Algaba

Multimodal large language models (MLLMs) have extended the success of large language models (LLMs) to multiple data types, such as image, text and audio, achieving significant performance in various domains, including multimodal…

Computation and Language · Computer Science 2025-06-03 Weiqi Feng , Yangrui Chen , Shaoyu Wang , Yanghua Peng , Haibin Lin , Minlan Yu

Reasoning Large Language Models (LLMs) enable test-time scaling, with dataset-level accuracy improving as the token budget increases, motivating adaptive reasoning -- spending tokens when they improve reliability and stopping early when…

Artificial Intelligence · Computer Science 2026-05-15 Xi Wang , Anushri Suresh , Alvin Zhang , Rishi More , William Jurayj , Benjamin Van Durme , Mehrdad Farajtabar , Daniel Khashabi , Eric Nalisnick

Large reasoning models (LRMs) excel at complex reasoning tasks but typically generate lengthy sequential chains-of-thought, resulting in long inference times before arriving at the final answer. To address this challenge, we introduce…

Artificial Intelligence · Computer Science 2025-12-04 Emil Biju , Shayan Talaei , Zhemin Huang , Mohammadreza Pourreza , Azalia Mirhoseini , Amin Saberi

Most efforts to improve the reasoning capabilities of large language models (LLMs) involve either scaling the number of parameters and the size of training data, or scaling inference computation by letting models generate complex chains of…

Machine Learning · Computer Science 2025-10-10 Yeskendir Koishekenov , Aldo Lipani , Nicola Cancedda

Large language models (LLMs) exhibit a strong capacity for in-context learning: Given labeled examples, they can generate good predictions without parameter updates. However, many interactive settings go beyond static prediction to online…

Machine Learning · Computer Science 2026-05-12 Emile Anand , Abdullah Ateyeh , Xinyuan Cao , Max Dabagia

Pipeline parallelism is widely used to scale the training of transformer-based large language models, various works have been done to improve its throughput and memory footprint. In this paper, we address a frequently overlooked issue: the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Man Tsung Yeung , Penghui Qi , Min Lin , Xinyi Wan