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Coverage-guided fuzzers are powerful automated bug-finding tools. They mutate program inputs, observe coverage, and save any input that hits an unexplored path for future mutation. Unfortunately, without knowledge of input formats--for…

Cryptography and Security · Computer Science 2025-07-09 Harrison Green , Claire Le Goues , Fraser Brown

Diffusion models have achieved unprecedented success in text-aligned generation, largely driven by Classifier-Free Guidance (CFG). However, standard CFG operates strictly on instantaneous gradients, omitting the intrinsic curvature of the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Haosen Li , Wenshuo Chen , Shaofeng Liang , Lei Wang , Kaishen Yuan , Yutao Yue

The paper introduces a new lossless, highly robust compression algorithm that similar with LZW algorithm, yet the algorithm discards dictionary processing and uses irregular sequences with massive, random information instead. Then the paper…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Rui Zhu

Certifiable robustness gives the guarantee that small perturbations around an input to a classifier will not change the prediction. There are two approaches to provide certifiable robustness to adversarial examples: a) explicitly training…

Machine Learning · Computer Science 2025-08-04 Meiyu Zhong , Ravi Tandon

Persistence modules are representations of products of totally ordered sets in the category of vector spaces. They appear naturally in the representation theory of algebras, but in recent years they have also found applications in other…

Algebraic Topology · Mathematics 2024-11-04 Steve Oudot

Text-to-image generation models have made significant progress in producing high-quality images from textual descriptions, yet they continue to struggle with maintaining subject consistency across multiple images, a fundamental requirement…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Mingxiao Li , Mang Ning , Marie-Francine Moens

In this work, we study several variants of matrix reduction via Gaussian elimination that try to keep the reduced matrix sparse. The motivation comes from the growing field of topological data analysis where matrix reduction is the major…

Computational Geometry · Computer Science 2024-06-14 Ulrich Bauer , Talha Bin Masood , Barbara Giunti , Guillaume Houry , Michael Kerber , Abhishek Rathod

Decompressing a file made by the gzip program at an arbitrary location is in principle impossible, due to the nature of the DEFLATE compression algorithm. Consequently, no existing program can take advantage of parallelism to rapidly…

Data Structures and Algorithms · Computer Science 2019-05-20 Maël Kerbiriou , Rayan Chikhi

An algorithm is presented that constructs an acyclic partial matching on the cells of a given simplicial complex from a vector-valued function defined on the vertices and extended to each simplex by taking the least common upper bound of…

Computational Geometry · Computer Science 2017-03-24 Madjid Allili , Tomasz Kaczynski , Claudia Landi , Filippo Masoni

Objective: Spike sorting is a fundamental step in analysing extracellular recordings, enabling the isolation of single-neuron activity. However, it remains a challenging problem because extracellular traces mix overlapping spikes from…

Signal Processing · Electrical Eng. & Systems 2025-06-12 Vasileios Georgiadis , Panagiotis C. Petrantonakis

The persistence barcode is a topological descriptor of data that plays a fundamental role in topological data analysis. Given a filtration of data, the persistence barcode tracks the evolution of its homology groups. In this paper, we…

Computational Geometry · Computer Science 2025-10-14 Tao Hou , Salman Parsa , Bei Wang

The Lipschitz constant plays a crucial role in certifying the robustness of neural networks to input perturbations. Since calculating the exact Lipschitz constant is NP-hard, efforts have been made to obtain tight upper bounds on the…

Machine Learning · Computer Science 2024-10-30 Yuezhu Xu , S. Sivaranjani

The persistent homology pipeline includes the reduction of a, so-called, boundary matrix. We extend the work of Bauer et al. (2014) and Chen et al. (2011) where they show how to use dependencies in the boundary matrix to adapt the reduction…

Algebraic Topology · Mathematics 2017-08-17 Rodrigo Mendoza-Smith , Jared Tanner

Markov chain Monte Carlo (MCMC) is a key algorithm in computational statistics, and as datasets grow larger and models grow more complex, many popular MCMC algorithms become too computationally expensive to be practical. Recent progress has…

Methodology · Statistics 2022-03-01 Filippo Pagani , Augustin Chevallier , Sam Power , Thomas House , Simon Cotter

It has been shown that $1$-parameter persistence modules have a very simple classification, namely there is a discrete invariant called a barcode that completely characterizes $1$-parameter persistence modules up to isomorphism. In…

Algebraic Topology · Mathematics 2021-11-02 Samantha Moore

Temporal graphs are commonly used to represent complex systems and track the evolution of their constituents over time. Visualizing these graphs is crucial as it allows one to quickly identify anomalies, trends, patterns, and other…

Human-Computer Interaction · Computer Science 2025-02-24 Raphaël Tinarrage , Jean R. Ponciano , Claudio D. G. Linhares , Agma J. M. Traina , Jorge Poco

Stability of persistence diagrams under slight perturbations is a key characteristic behind the validity and growing popularity of topological data analysis in exploring real-world data. Central to this stability is the use of Bottleneck…

Computational Geometry · Computer Science 2020-10-12 Paul Samuel Ignacio , Jay-Anne Bulauan , David Uminsky

The theory of multidimensional persistence captures the topology of a multifiltration -- a multiparameter family of increasing spaces. Multifiltrations arise naturally in the topological analysis of scientific data. In this paper, we give a…

Computational Geometry · Computer Science 2010-11-22 Gunnar Carlsson , Gurjeet Singh , Afra Zomorodian

Storing and archiving data produced by next-generation sequencing (NGS) is a huge burden for research institutions. Reference-based compression algorithms are effective in dealing with these data. Our work focuses on compressing FASTQ…

Information Theory · Computer Science 2024-04-04 Yuanjian Liu , Huihao Luo , Zhijun Han , Yao Hu , Yehui Yang , Kyle Chard , Sheng Di , Ian Foster , Jiesheng Wu

We consider the problem of producing compact architectures for text classification, such that the full model fits in a limited amount of memory. After considering different solutions inspired by the hashing literature, we propose a method…

Computation and Language · Computer Science 2016-12-19 Armand Joulin , Edouard Grave , Piotr Bojanowski , Matthijs Douze , Hérve Jégou , Tomas Mikolov