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We generalize the problem of reconstructing strings from their substring compositions first introduced by Acharya et al. in 2015 motivated by polymer-based advanced data storage systems utilizing mass spectrometry. Namely, we see strings as…

Combinatorics · Mathematics 2025-04-02 Antoine Dailly , Tuomo Lehtilä

Run-Length Encoding (RLE) is one of the most fundamental tools in data compression. However, its compression power drops significantly if there lacks consecutive elements in the sequence. In extreme cases, the output of the encoder may…

Data Structures and Algorithms · Computer Science 2023-12-29 Xutan Peng , Yi Zhang , Dejia Peng , Jiafa Zhu

While large-scale neural language models, such as GPT2 and BART, have achieved impressive results on various text generation tasks, they tend to get stuck in undesirable sentence-level loops with maximization-based decoding algorithms…

Computation and Language · Computer Science 2022-10-11 Jin Xu , Xiaojiang Liu , Jianhao Yan , Deng Cai , Huayang Li , Jian Li

Technology progress in DNA sequencing boosts the genomic database growth at faster and faster rate. Compression, accompanied with random access capabilities, is the key to maintain those huge amounts of data. In this paper we present an…

Computational Engineering, Finance, and Science · Computer Science 2011-03-14 Szymon Grabowski , Sebastian Deorowicz

Deep reinforcement learning (DRL) has delivered strong results in domains such as Atari and Go, but it still suffers from high sample cost and weak transfer beyond the training setting. A common response is to reuse information from…

Machine Learning · Computer Science 2026-05-05 Ujjwal Patil , Javad Ghofrani

Composite endpoints are widely used in cardiovascular clinical trials to improve statistical efficiency while preserving clinical relevance. The Win Ratio (WR) measure and more general frameworks of Win Statistics have emerged as…

Methodology · Statistics 2025-11-24 Yunhan Mou , Fan Li , Denise Esserman , Yuan Huang

Lossless data compression has been widely studied in computer science. One of the most widely used lossless data compressions is Lempel-Zip(LZ) 77 parsing, which achieves a high compression ratio. Bidirectional (a.k.a. macro) parsing is a…

Data Structures and Algorithms · Computer Science 2018-12-12 Takaaki Nishimoto , Yasuo Tabei

The advent of "next-generation" DNA sequencing (NGS) technologies has meant that collections of hundreds of millions of DNA sequences are now commonplace in bioinformatics. Knowing the longest common prefix array (LCP) of such a collection…

Data Structures and Algorithms · Computer Science 2013-05-02 Markus J. Bauer , Anthony J. Cox , Giovanna Rosone , Marinella Sciortino

Reinforcement learning (RL) has emerged as an effective post-training paradigm for enhancing the reasoning capabilities of multimodal large language model (MLLM). However, current RL pipelines often suffer from training inefficiencies…

Machine Learning · Computer Science 2026-03-04 Linghao Zhu , Yiran Guan , Dingkang Liang , Jianzhong Ju , Zhenbo Luo , Bin Qin , Jian Luan , Yuliang Liu , Xiang Bai

Matching statistics were introduced to solve the approximate string matching problem, which is a recurrent subroutine in bioinformatics applications. In 2010, Ohlebusch et al. [SPIRE 2010] proposed a time and space efficient algorithm for…

Data Structures and Algorithms · Computer Science 2023-01-16 Alessio Conte , Nicola Cotumaccio , Travis Gagie , Giovanni Manzini , Nicola Prezza , Marinella Sciortino

Using Reinforcement Learning with Verifiable Rewards (RLVR) to optimize Large Language Models (LLMs) can be conceptualized as progressively editing a query's `Reasoning Tree'. This process involves exploring nodes (tokens) and dynamically…

Artificial Intelligence · Computer Science 2026-04-28 Hong Wang , Zhezheng Hao , Jian Luo , Chenxing Wei , Yao Shu , Lei Liu , Qiang Lin , Hande Dong , Jiawei Chen

Joining records with all other records that meet a linkage condition can result in an astronomically large number of combinations due to many-to-many relationships. For such challenging (acyclic) joins, a random sample over the join result…

Databases · Computer Science 2022-01-11 Michael Shekelyan , Graham Cormode , Peter Triantafillou , Ali Shanghooshabad , Qingzhi Ma

Despite transformers' impressive accuracy, their computational cost is often prohibitive to use with limited computational resources. Most previous approaches to improve inference efficiency require a separate model for each possible…

Computation and Language · Computer Science 2021-06-15 Gyuwan Kim , Kyunghyun Cho

The combinatorics of RNA plays a central role in biology. Mathematical biologists have several commonly-used models for RNA: words in a fixed alphabet (representing the primary sequence of nucleotides) and plane trees (representing the…

Combinatorics · Mathematics 2017-06-23 Frances Black , Elizabeth Drellich , Julianna Tymoczko

Relative compression, where a set of similar strings are compressed with respect to a reference string, is a very effective method of compressing DNA datasets containing multiple similar sequences. Relative compression is fast to perform…

Quantitative Methods · Quantitative Biology 2011-06-21 Shanika Kuruppu , Simon Puglisi , Justin Zobel

The problem of storing a set of strings --- a string dictionary --- in compact form appears naturally in many cases. While classically it has represented a small part of the whole data to be processed (e.g., for Natural Language processing…

Data Structures and Algorithms · Computer Science 2011-01-31 Nieves R. Brisaboa , Rodrigo Cánovas , Miguel A. Martínez-Prieto , Gonzalo Navarro

Data deduplication saves storage space by identifying and removing repeats in the data stream. Compared with traditional compression methods, data deduplication schemes are more time efficient and are thus widely used in large scale storage…

Information Theory · Computer Science 2022-05-30 Hao Lou , Farzad Farnoud

Retrieving keywords (bidwords) with the same intent as query, referred to as close variant keywords, is of prime importance for effective targeted search advertising. For head and torso search queries, sponsored search engines use a huge…

Computation and Language · Computer Science 2021-06-08 Akash Kumar Mohankumar , Nikit Begwani , Amit Singh

We describe a combinatorial approach for investigating properties of rational numbers. The overall approach rests on structural bijections between rational numbers and familiar combinatorial objects, namely rooted trees. We emphasize that…

Combinatorics · Mathematics 2012-01-13 Edinah K. Gnang , Chetan Tonde

Large language models can exhibit emergent reasoning behaviors, often manifested as recurring lexical patterns (e.g., "wait," indicating verification). However, complex reasoning trajectories remain sparse in unconstrained sampling, and…

Artificial Intelligence · Computer Science 2026-03-03 Po-Nien Kung , Zhen Yang , Jeffrey Luo , Cheng-Fu Yang , Haikang Deng , Zi-Yi Dou , Yinfei Yang , Nanyun Peng , Zhe Gan , Kai-Wei Chang
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