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Context-free language (CFL) reachability is a standard approach in static analyses, where the analysis question is phrased as a language reachability problem on a graph $G$ wrt a CFL L. While CFLs lack the expressiveness needed for high…

Programming Languages · Computer Science 2024-11-15 Giovanna Kobus Conrado , Adam Husted Kjelstrøm , Andreas Pavlogiannis , Jaco van de Pol

We study the problem of grammar-constrained context-free language reachability in graphs, focusing on complexity and empirical performance. We present an algorithmic framework for evaluating reachability queries constrained by context-free…

Data Structures and Algorithms · Computer Science 2026-03-02 Faruk Alpay , Levent Sarioglu

Many problems in static program analysis can be modeled as the context-free language (CFL) reachability problem on directed labeled graphs. The CFL reachability problem can be generally solved in time $O(n^3)$, where $n$ is the number of…

Formal Languages and Automata Theory · Computer Science 2023-08-21 Paraschos Koutris , Shaleen Deep

Many context-sensitive data flow analyses can be formulated as a variant of the all-pairs Dyck-CFL reachability problem, which, in general, is of sub-cubic time complexity and quadratic space complexity. Such high complexity significantly…

Computation and Language · Computer Science 2021-09-06 Qingkai Shi , Yongchao Wang , Charles Zhang

The fully connected conditional random field (CRF) with Gaussian pairwise potentials has proven popular and effective for multi-class semantic segmentation. While the energy of a dense CRF can be minimized accurately using a linear…

Computer Vision and Pattern Recognition · Computer Science 2017-02-15 Thalaiyasingam Ajanthan , Alban Desmaison , Rudy Bunel , Mathieu Salzmann , Philip H. S. Torr , M. Pawan Kumar

In this paper, we consider the problem of planar graph-based simultaneous localization and mapping (SLAM) that involves both poses of the autonomous agent and positions of observed landmarks. We present CPL-SLAM, an efficient and…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Taosha Fan , Hanlin Wang , Michael Rubenstein , Todd Murphey

We propose a new algorithm for solving the graph-fused lasso (GFL), a method for parameter estimation that operates under the assumption that the signal tends to be locally constant over a predefined graph structure. Our key insight is to…

Machine Learning · Statistics 2015-06-02 Wesley Tansey , James G. Scott

In 1975, Valiant showed that Boolean matrix multiplication can be used for parsing context-free grammars (CFGs), yielding the asympotically fastest (although not practical) CFG parsing algorithm known. We prove a dual result: any CFG parser…

Computation and Language · Computer Science 2007-05-23 Lillian Lee

In this paper we study the fine-grained complexity of the CFL reachability problem. We first present one of the existing algorithms for the problem and an overview of conditional lower bounds based on widely believed hypotheses. We then use…

Computational Complexity · Computer Science 2023-06-29 Aleksandra Istomina , Semyon Grigorev , Ekaterina Shemetova

We experiment graph-based Semi-Supervised Learning (SSL) of Conditional Random Fields (CRF) for the application of Spoken Language Understanding (SLU) on unaligned data. The aligned labels for examples are obtained using IBM Model. We adapt…

Computation and Language · Computer Science 2017-01-31 Mohammad Aliannejadi , Masoud Kiaeeha , Shahram Khadivi , Saeed Shiry Ghidary

In recent years, there has been a growing interest in mathematical models leading to the minimization, in a symmetric matrix space, of a Bregman divergence coupled with a regularization term. We address problems of this type within a…

Optimization and Control · Mathematics 2022-06-10 A. Benfenati , E. Chouzenoux , J. -C. Pesquet

We propose a method to control the attributes of Language Models (LMs) for the text generation task using Causal Average Treatment Effect (ATE) scores and counterfactual augmentation. We explore this method, in the context of LM…

Computation and Language · Computer Science 2023-10-04 Rahul Madhavan , Rishabh Garg , Kahini Wadhawan , Sameep Mehta

Dense conditional random fields (CRFs) have become a popular framework for modelling several problems in computer vision such as stereo correspondence and multi-class semantic segmentation. By modelling long-range interactions, dense CRFs…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Thomas Joy , Alban Desmaison , Thalaiyasingam Ajanthan , Rudy Bunel , Mathieu Salzmann , Pushmeet Kohli , Philip H. S. Torr , M. Pawan Kumar

The holy grail of machine learning is to enable Continual Federated Learning (CFL) to enhance the efficiency, privacy, and scalability of AI systems while learning from streaming data. The primary challenge of a CFL system is to overcome…

Machine Learning · Computer Science 2025-11-11 Satish Kumar Keshri , Nazreen Shah , Ranjitha Prasad

Reachability analysis is a fundamental program analysis with a wide variety of applications. We present FlowCFL, a framework for type-based reachability analysis in the presence of mutable data. Interestingly, the underlying semantics of…

Programming Languages · Computer Science 2020-05-15 Ana Milanova

Exact recovery of a sparse solution for an underdetermined system of linear equations implies full search among all possible subsets of the dictionary, which is computationally intractable, while l1 minimization will do the job when a…

Information Theory · Computer Science 2014-12-22 Mohsen Joneidi , Mahdi Barzegar Khalilsarai , Alireza Zaeemzadeh , Nazanin Rahnavard

We introduce an extension to the CLRS algorithmic learning benchmark, prioritizing scalability and the utilization of sparse representations. Many algorithms in CLRS require global memory or information exchange, mirrored in its execution…

Machine Learning · Computer Science 2023-11-21 Julian Minder , Florian Grötschla , Joël Mathys , Roger Wattenhofer

Collaborative filtering (CF) is a popular technique in today's recommender systems, and matrix approximation-based CF methods have achieved great success in both rating prediction and top-N recommendation tasks. However, real-world…

Machine Learning · Computer Science 2018-11-07 Dongsheng Li , Chao Chen , Qin Lv , Junchi Yan , Li Shang , Stephen M. Chu

The computational cost of many signal processing and machine learning techniques is often dominated by the cost of applying certain linear operators to high-dimensional vectors. This paper introduces an algorithm aimed at reducing the…

Machine Learning · Computer Science 2016-03-30 Luc Le Magoarou , Rémi Gribonval

The GraphBLAS high performance library standard has yielded capabilities beyond enabling graph algorithms to be readily expressed in the language of linear algebra. These GraphBLAS capabilities enable new performant ways of thinking about…

Data Structures and Algorithms · Computer Science 2025-09-24 Hayden Jananthan , Jeremy Kepner , Michael Jones , Vijay Gadepally , Michael Houle , Peter Michaleas , Chasen Milner , Alex Pentland
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