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A fertile area of recent research has demonstrated concrete polynomial time lower bounds for solving natural hard problems on restricted computational models. Among these problems are Satisfiability, Vertex Cover, Hamilton Path, Mod6-SAT,…

Computational Complexity · Computer Science 2010-02-03 Ryan Williams

The fast-growing amount of information on the Internet makes the research in automatic document summarization very urgent. It is an effective solution for information overload. Many approaches have been proposed based on different…

Computation and Language · Computer Science 2018-08-01 Kamal Al-Sabahi , Zuping Zhang , Jun Long , Khaled Alwesabi

The computational complexity of solving random 3-Satisfiability (3-SAT) problems is investigated. 3-SAT is a representative example of hard computational tasks; it consists in knowing whether a set of alpha N randomly drawn logical…

Statistical Mechanics · Physics 2009-10-31 Simona Cocco , Remi Monasson

Scaling inference compute enhances reasoning in large language models (LLMs), with long chains-of-thought (CoTs) enabling strategies like backtracking and error correction. Reinforcement learning (RL) has emerged as a crucial method for…

Computation and Language · Computer Science 2025-02-06 Edward Yeo , Yuxuan Tong , Morry Niu , Graham Neubig , Xiang Yue

Recent breakthroughs in large language models (LLMs) have effectively improved their reasoning abilities, particularly on mathematical and logical problems that have verifiable answers, through techniques such as supervised finetuning (SFT)…

Artificial Intelligence · Computer Science 2025-06-02 Hongyi James Cai , Junlin Wang , Xiaoyin Chen , Bhuwan Dhingra

To address the problem of long-tail distribution for the large vocabulary object detection task, existing methods usually divide the whole categories into several groups and treat each group with different strategies. These methods bring…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Tong Wang , Yousong Zhu , Chaoyang Zhao , Wei Zeng , Jinqiao Wang , Ming Tang

All pairs similarity search is a problem where a set of data objects is given and the task is to find all pairs of objects that have similarity above a certain threshold for a given similarity measure-of-interest. When the number of points…

Information Retrieval · Computer Science 2016-06-29 Aniket Chakrabarti , Srinivasan Parthasarathy

This paper describes a localized algorithm for the topological simplification of scalar data, an essential pre-processing step of topological data analysis (TDA). Given a scalar field f and a selection of extrema to preserve, the proposed…

Data Structures and Algorithms · Computer Science 2020-09-02 Jonas Lukasczyk , Christoph Garth , Ross Maciejewski , Julien Tierny

The Long Short-Term Memory (LSTM) layer is an important advancement in the field of neural networks and machine learning, allowing for effective training and impressive inference performance. LSTM-based neural networks have been…

Neural and Evolutionary Computing · Computer Science 2019-01-04 Daniel Kent , Fathi M. Salem

This article introduces SatHyS (SAT HYbrid Solver), a novel hybrid approach for propositional satisfiability. It combines local search and conflict driven clause learning (CDCL) scheme. Each time the local search part reaches a local…

Artificial Intelligence · Computer Science 2009-10-08 Gilles Audenard , Jean-Marie Lagniez , Bertrand Mazure , Lakhdar Saïs

Long-tail recognition tackles the natural non-uniformly distributed data in real-world scenarios. While modern classifiers perform well on populated classes, its performance degrades significantly on tail classes. Humans, however, are less…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Tz-Ying Wu , Pedro Morgado , Pei Wang , Chih-Hui Ho , Nuno Vasconcelos

Reinforcement learning exhibits potential in enhancing the reasoning abilities of large language models, yet it is hard to scale for the low sample efficiency during the rollout phase. Existing methods attempt to improve efficiency by…

Machine Learning · Computer Science 2026-02-02 Deyang Kong , Qi Guo , Xiangyu Xi , Wei Wang , Jingang Wang , Xunliang Cai , Shikun Zhang , Wei Ye

Large Language Models (LLMs) have shown impressive performance in mathematical reasoning tasks when guided by Chain-of-Thought (CoT) prompting. However, they tend to produce highly confident yet incorrect outputs, which poses significant…

Machine Learning · Computer Science 2025-06-11 Zhenjiang Mao , Artem Bisliouk , Rohith Reddy Nama , Ivan Ruchkin

Real-world classification problems typically exhibit an imbalanced or long-tailed label distribution, wherein many labels are associated with only a few samples. This poses a challenge for generalisation on such labels, and also makes…

Machine Learning · Computer Science 2021-07-13 Aditya Krishna Menon , Sadeep Jayasumana , Ankit Singh Rawat , Himanshu Jain , Andreas Veit , Sanjiv Kumar

Structured, procedural reasoning is essential for Large Language Models (LLMs), especially in mathematics. While post-training methods have improved LLM performance, they still fall short in capturing deep procedural logic on complex tasks.…

Artificial Intelligence · Computer Science 2025-08-27 Zhichao Yang , Zhaoxin Fan , Gen Li , Yuanze Hu , Xinyu Wang , Ye Qiu , Xin Wang , Yifan Sun , Wenjun Wu

Despite their success in many natural language tasks, solving math problems remains a significant challenge for large language models (LLMs). A large gap exists between LLMs' pass-at-one and pass-at-N performance in solving math problems,…

Computation and Language · Computer Science 2023-10-17 Yixin Liu , Avi Singh , C. Daniel Freeman , John D. Co-Reyes , Peter J. Liu

Logic-based abduction finds important applications in artificial intelligence and related areas. One application example is in finding explanations for observed phenomena. Propositional abduction is a restriction of abduction to the…

Artificial Intelligence · Computer Science 2016-04-29 Alexey Ignatiev , Antonio Morgado , Joao Marques-Silva

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

Synthesizing a program that realizes a logical specification is a classical problem in computer science. We examine a particular type of program synthesis, where the objective is to synthesize a strategy that reacts to a potentially…

Artificial Intelligence · Computer Science 2020-01-01 Alberto Camacho , Sheila A. McIlraith

We are interested in understanding how well Transformer language models (TLMs) can perform reasoning tasks when trained on knowledge encoded in the form of natural language. We investigate their systematic generalization abilities on a…

Machine Learning · Computer Science 2020-10-22 Nicolas Gontier , Koustuv Sinha , Siva Reddy , Christopher Pal
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