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We consider the problem of sampling $n$ numbers from the range $\{1,\ldots,N\}$ without replacement on modern architectures. The main result is a simple divide-and-conquer scheme that makes sequential algorithms more cache efficient and…

Data Structures and Algorithms · Computer Science 2019-11-18 Peter Sanders , Sebastian Lamm , Lorenz Hübschle-Schneider , Emanuel Schrade , Carsten Dachsbacher

Large language models increasingly rely on explicit reasoning chains and can produce multiple plausible responses for a given context. We study the candidate sampler that produces the set of plausible responses contrasting the ancestral…

Computation and Language · Computer Science 2025-09-23 Sergey Troshin , Irina Saparina , Antske Fokkens , Vlad Niculae

Recent advancements in improving the reasoning capabilities of Large Language Models have underscored the efficacy of Process Reward Models (PRMs) in addressing intermediate errors through structured feedback mechanisms. This study analyzes…

Computation and Language · Computer Science 2025-06-03 Zhengyu Chen , Yudong Wang , Teng Xiao , Ruochen Zhou , Xuesheng Yang , Wei Wang , Zhifang Sui , Jingang Wang

Parallel thinking improves LLM reasoning through multi-path sampling and aggregation. In standard evaluations, due to a lack of sample-specific priors, all samples share a global budget chosen to maximize dataset accuracy. However, many…

Machine Learning · Computer Science 2026-05-12 Yiming Wang , Zhuosheng Zhang , Rui Wang

Reasoning language models (RLMs) achieve strong performance on complex reasoning tasks, yet they still exhibit a multilingual reasoning gap, performing better in high-resource languages than in low-resource ones. While recent efforts have…

Computation and Language · Computer Science 2026-04-14 Deokhyung Kang , Seonjeong Hwang , Daehui Kim , Hyounghun Kim , Gary Geunbae Lee

LLM serving systems typically treat user prompts as monolithic inputs, optimizing inference through decoding tricks or inter-query batching. However, many real-world prompts contain latent semantic parallelism--decomposable structures where…

Machine Learning · Computer Science 2025-10-22 Steven Kolawole , Keshav Santhanam , Virginia Smith , Pratiksha Thaker

Large Reasoning Models (LRMs) such as DeepSeek-R1 and OpenAI o1 have demonstrated remarkable capabilities in various reasoning tasks. Their strong capability to generate and reason over intermediate thoughts has also led to arguments that…

Computation and Language · Computer Science 2025-10-17 Saurabh Srivastava , Ziyu Yao

Sentence Representation Learning (SRL) is a fundamental task in Natural Language Processing (NLP), with the Contrastive Learning of Sentence Embeddings (CSE) being the mainstream technique due to its superior performance. An intriguing…

Computation and Language · Computer Science 2023-12-20 Mingxin Li , Richong Zhang , Zhijie Nie , Yongyi Mao

While the reasoning capabilities of Large Language Models (LLMs) excel in analytical tasks such as mathematics and code generation, their utility for abstractive summarization remains widely assumed but largely unverified. To bridge this…

Computation and Language · Computer Science 2025-12-10 Haohan Yuan , Haopeng Zhang

Reasoning-augmented search agents such as Search-R1, trained via reinforcement learning with verifiable rewards (RLVR), demonstrate remarkable capabilities in multi-step information retrieval from external knowledge sources. These agents…

Computation and Language · Computer Science 2025-08-14 Shu Zhao , Tan Yu , Anbang Xu , Japinder Singh , Aaditya Shukla , Rama Akkiraju

Recently, the reasoning capabilities of large reasoning models (LRMs), such as DeepSeek-R1, have seen significant advancements through the slow thinking process. Despite these achievements, the substantial computational demands of LRMs…

Artificial Intelligence · Computer Science 2025-04-15 Chengyu Wang , Taolin Zhang , Richang Hong , Jun Huang

Large Language Models (LLMs), particularly smaller variants, still struggle with complex reasoning tasks. While inference-time prompting can guide reasoning, existing methods often rely on sequential queries. Ensemble approaches offer a…

Computation and Language · Computer Science 2025-10-28 Gregory Kang Ruey Lau , Wenyang Hu , Diwen Liu , Jizhuo Chen , See-Kiong Ng , Bryan Kian Hsiang Low

Large reasoning models (LRMs) exhibit unprecedented capabilities in solving complex problems through Chain-of-Thought (CoT) reasoning. However, recent studies reveal that their final answers often contradict their own reasoning traces. We…

Artificial Intelligence · Computer Science 2026-03-03 Yuhui Wang , Changjiang Li , Guangke Chen , Jiacheng Liang , Ting Wang

Large reasoning models (LRMs) have exhibited the capacity of enhancing reasoning performance via internal test-time scaling. Building upon this, a promising direction is to further scale test-time compute to unlock even greater reasoning…

Artificial Intelligence · Computer Science 2025-06-10 Jian Wang , Boyan Zhu , Chak Tou Leong , Yongqi Li , Wenjie Li

Test-time scaling (TTS) has gained widespread attention for enhancing LLM reasoning. Existing approaches such as Best-of-N and majority voting are limited as their performance depends on the quality of candidate responses, making them…

Machine Learning · Computer Science 2026-04-28 Qibin Wang , Pu Zhao , Shaohan Huang , Fangkai Yang , Lu Wang , Furu Wei , Qingwei Lin , Saravan Rajmohan , Dongmei Zhang

Recent advances in large language models (LLMs) have accelerated progress toward artificial general intelligence, with inference-time scaling emerging as a key technique. Contemporary approaches leverage either sequential reasoning…

Computation and Language · Computer Science 2025-07-10 Zenan Xu , Zexuan Qiu , Guanhua Huang , Kun Li , Siheng Li , Chenchen Zhang , Kejiao Li , Qi Yi , Yuhao Jiang , Bo Zhou , Fengzong Lian , Zhanhui Kang

Large Reasoning Models (LRMs) have demonstrated impressive capabilities but suffer from cognitive inefficiencies like "overthinking" simple problems and "underthinking" complex ones. While existing methods that use supervised fine-tuning…

Artificial Intelligence · Computer Science 2026-03-24 Tian Liang , Wenxiang Jiao , Zhiwei He , Jiahao Xu , Haitao Mi , Dong Yu

Neural algorithmic reasoners are parallel processors. Teaching them sequential algorithms contradicts this nature, rendering a significant share of their computations redundant. Parallel algorithms however may exploit their full…

Machine Learning · Computer Science 2024-01-04 Valerie Engelmayer , Dobrik Georgiev , Petar Veličković

Reasoning models represent a significant advance in LLM capabilities, particularly for complex reasoning tasks such as mathematics and coding. Previous studies confirm that parallel test-time compute-sampling multiple solutions and…

Machine Learning · Computer Science 2025-10-27 Raul Cavalcante Dinardi , Bruno Yamamoto , Anna Helena Reali Costa , Artur Jordao

Large Language Models (LLMs) have achieved state-of-the-art performance on a broad range of Natural Language Processing (NLP) tasks, including document processing and code generation. Autoregressive Language Models (ARMs), which generate…