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An efficient and flexible engine for computing fixed points is critical for many practical applications. In this paper, we firstly present a goal-directed fixed point computation strategy in the logic programming paradigm. The strategy…

Programming Languages · Computer Science 2007-05-23 Hai-Feng Guo , Gopal Gupta

Conversational-memory systems increasingly transform dialogue history into facts, summaries, timelines, and other source-linked descendants, so a single source turn can coexist with several derived memories in the same retrieval index. This…

Information Retrieval · Computer Science 2026-05-26 Sugam Panthi , Rabab Abdelfattah

Recent advancements in long-context modeling have enhanced language models (LMs) for complex tasks across multiple NLP applications. Despite this progress, we find that these models struggle with multi-hop reasoning and exhibit decreased…

Computation and Language · Computer Science 2024-08-07 Yanyang Li , Shuo Liang , Michael R. Lyu , Liwei Wang

Modern foundation model architectures rely on attention mechanisms to effectively capture context. However, these methods require linear or quadratic memory in terms of the number of inputs/datapoints, limiting their applicability in…

Machine Learning · Computer Science 2023-06-23 Leo Feng , Frederick Tung , Hossein Hajimirsadeghi , Yoshua Bengio , Mohamed Osama Ahmed

Nominal algebra includes $\alpha$-equality and freshness constraints on nominal terms endowed with a nominal set semantics that facilitates reasoning about languages with binders. Nominal unification is decidable and unitary, however, its…

Logic in Computer Science · Computer Science 2024-12-18 Ali K. Caires-Santos , Maribel Fernández , Daniele Nantes-Sobrinho

Numeric static analysis for Java has a broad range of potentially useful applications, including array bounds checking and resource usage estimation. However, designing a scalable numeric static analysis for real-world Java programs…

Programming Languages · Computer Science 2018-08-31 Shiyi Wei , Piotr Mardziel , Andrew Ruef , Jeffrey S. Foster , Michael Hicks

Large Language Models (LLMs) are increasingly applied to forecasting. To evaluate this capability while mitigating pre-training data contamination, several living benchmarks have been proposed. However, existing benchmarks either lack the…

Machine Learning · Computer Science 2026-05-19 Mingtian Tan , Mihir Parmar , Palash Goyal , Chun-Liang Li , Nanyun Peng , Thomas Hartvigsen , Jinsung Yoon , Tomas Pfister

Attention is the critical component of a transformer. Yet the quadratic computational complexity of vanilla full attention in the input size and the inability of its linear attention variant to focus have been challenges for computer vision…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Nhat Thanh Tran , Fanghui Xue , Shuai Zhang , Jiancheng Lyu , Yunling Zheng , Yingyong Qi , Jack Xin

The design of complex self-organising systems producing life-like phenomena, such as the open-ended evolution of virtual creatures, is one of the main goals of artificial life. Lenia, a family of cellular automata (CA) generalizing Conway's…

Neural and Evolutionary Computing · Computer Science 2023-03-27 Erwan Plantec , Gautier Hamon , Mayalen Etcheverry , Pierre-Yves Oudeyer , Clément Moulin-Frier , Bert Wang-Chak Chan

Stochastic HYPE is a novel process algebra that models stochastic, instantaneous and continuous behaviour. It develops the flow-based approach of the hybrid process algebra HYPE by replacing non-urgent events with events with…

Systems and Control · Computer Science 2014-11-18 Luca Bortolussi , Vashti Galpin , Jane Hillston

Uncertainty in Logic Programming has been investigated during the last decades, dealing with various extensions of the classical LP paradigm and different applications. Existing proposals rely on different approaches, such as clause…

Logic in Computer Science · Computer Science 2010-07-22 Mario Rodríguez-Artalejo , Carlos A. Romero-Díaz

Localized persistent neural activity can encode delayed estimates of continuous variables. Common experiments require that subjects store and report the feature value (e.g., orientation) of a particular cue (e.g., oriented bar on a screen)…

Neurons and Cognition · Quantitative Biology 2024-08-01 Heather L Cihak , Zachary P Kilpatrick

The quadratic cost of attention limits the scalability of long-context LLMs, especially under limited hardware memory budgets. While attention is often sparse, existing static sparse methods cannot adapt to task- or input-dependent…

Computation and Language · Computer Science 2026-05-29 Siheng Xiong , Joe Zou , Faramarz Fekri , Yae Jee Cho

Information flows by routes inside the network via mechanisms implemented in the model. These routes can be represented as graphs where nodes correspond to token representations and edges to operations inside the network. We automatically…

Computation and Language · Computer Science 2024-04-18 Javier Ferrando , Elena Voita

Precise analysis of pointer information plays an important role in many static analysis techniques and tools today. The precision, however, must be balanced against the scalability of the analysis. This paper focusses on improving the…

Programming Languages · Computer Science 2017-02-21 Ankush Das , Akash Lal

Knowledge editing is pivotal for efficiently updating the parametric memory of Large Language Models (LLMs), enabling them to function as evolving agents in dynamic environments. However, mainstream in-parameter knowledge editing approaches…

Computation and Language · Computer Science 2026-05-21 Xiyu Liu , Zhengxiao Liu , Naibin Gu , Zheng Lin , Weiping Wang

Classical multivariate principal component analysis has been extended to functional data and termed functional principal component analysis (FPCA). Most existing FPCA approaches do not accommodate covariate information, and it is the goal…

Statistics Theory · Mathematics 2010-03-02 Ci-Ren Jiang , Jane-Ling Wang

Principal Component Analysis (PCA) is a transform for finding the principal components (PCs) that represent features of random data. PCA also provides a reconstruction of the PCs to the original data. We consider an extension of PCA which…

Methodology · Statistics 2021-11-05 Pablo Soto-Quiros , Anatoli Torokhti

Foundational marked temporal point process (MTPP) models, such as the Hawkes process, often use inexpressive model families in order to offer interpretable parameterizations of event data. On the other hand, neural MTPPs models forego this…

Machine Learning · Statistics 2025-11-04 Alex Boyd , Andrew Warrington , Taha Kass-Hout , Parminder Bhatia , Danica Xiao

We consider streaming, one-pass principal component analysis (PCA), in the high-dimensional regime, with limited memory. Here, $p$-dimensional samples are presented sequentially, and the goal is to produce the $k$-dimensional subspace that…

Machine Learning · Statistics 2013-07-02 Ioannis Mitliagkas , Constantine Caramanis , Prateek Jain