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A loop invariant is a property of a loop that remains true before and after each execution of the loop. The identification of loop invariants is a critical step to support automated program safety assessment. Recent advancements in Large…

Software Engineering · Computer Science 2025-11-11 Mostafijur Rahman Akhond , Saikat Chakraborty , Gias Uddin

In-context Learning (ICL) is an emerging few-shot learning paradigm on Language Models (LMs) with inner mechanisms un-explored. There are already existing works describing the inner processing of ICL, while they struggle to capture all the…

Computation and Language · Computer Science 2025-02-21 Hakaze Cho , Mariko Kato , Yoshihiro Sakai , Naoya Inoue

Computing the probability of a formula given the probabilities or weights associated with other formulas is a natural extension of logical inference to the probabilistic setting. Surprisingly, this problem has received little attention in…

Artificial Intelligence · Computer Science 2012-03-19 Vibhav Gogate , Pedro Domingos

Inductive logic programming (ILP) is a form of logical machine learning. The goal is to search a hypothesis space for a hypothesis that generalises training examples and background knowledge. We introduce an approach that 'shrinks' the…

Artificial Intelligence · Computer Science 2026-05-18 Andrew Cropper , Filipe Gouveia , David M. Cerna

Particle splitting methods are considered for the estimation of rare events. The probability of interest is that a Markov process first enters a set $B$ before another set $A$, and it is assumed that this probability satisfies a large…

Probability · Mathematics 2007-11-14 Thomas Dean , Paul Dupuis

In probabilistic program analysis, quantitative analysis aims at deriving tight numerical bounds for probabilistic properties such as expectation and assertion probability. Most previous works consider numerical bounds over the whole…

Programming Languages · Computer Science 2026-01-06 Tengshun Yang , Shenghua Feng , Hongfei Fu , Naijun Zhan , Jingyu Ke , Shiyang Wu

In-Context Learning (ICL) has emerged as a pivotal capability of auto-regressive large language models, yet it is hindered by a notable sensitivity to the ordering of context examples regardless of their mutual independence. To address this…

Computation and Language · Computer Science 2025-05-09 Lizhe Fang , Yifei Wang , Khashayar Gatmiry , Lei Fang , Yisen Wang

Recent works on click-based interactive segmentation have demonstrated state-of-the-art results by using various inference-time optimization schemes. These methods are considerably more computationally expensive compared to feedforward…

Computer Vision and Pattern Recognition · Computer Science 2021-02-15 Konstantin Sofiiuk , Ilia A. Petrov , Anton Konushin

Separation Logic with inductive definitions is a well-known approach for deductive verification of programs that manipulate dynamic data structures. Deciding verification conditions in this context is usually based on user-provided lemmas…

Logic in Computer Science · Computer Science 2015-07-21 Constantin Enea , Mihaela Sighireanu , Zhilin Wu

A representation invariant is a property that holds of all values of abstract type produced by a module. Representation invariants play important roles in software engineering and program verification. In this paper, we develop a…

Programming Languages · Computer Science 2020-03-30 Anders Miltner , Saswat Padhi , Todd Millstein , David Walker

Several techniques for analysis and transformations are used in compilers. Among them, the peeling of loops for hoisting quasi-invariants can be used to optimize generated code, or simply ease developers' lives. In this paper, we introduce…

Programming Languages · Computer Science 2017-04-20 Jean-Yves Moyen , Thomas Rubiano , Thomas Seiller

Despite the crucial need for formal safety and security verification of programs, discovering loop invariants remains a significant challenge. Static analysis is a primary technique for inferring loop invariants but often relies on…

Programming Languages · Computer Science 2024-12-17 Ashish Kumar , Jilaun Zhang , Saeid Tizpaz-Niari , Gang Tan

Datasets often incorporate various functional patterns related to different aspects or regimes, which are typically not equally present throughout the dataset. We propose a novel, general-purpose partitioning algorithm that utilizes…

Machine Learning · Computer Science 2025-12-02 Marius Tacke , Matthias Busch , Kevin Linka , Christian J. Cyron , Roland C. Aydin

This paper presents a simple and effective visual prompting method for adapting pre-trained models to downstream recognition tasks. Our method includes two key designs. First, rather than directly adding together the prompt and the image,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Junyang Wu , Xianhang Li , Chen Wei , Huiyu Wang , Alan Yuille , Yuyin Zhou , Cihang Xie

Simulation plays a central role in scientific discovery. In many applications, the bottleneck is no longer running a simulator; it is choosing among large families of plausible simulators, each corresponding to different forward…

Contrastive Language-Image Pretraining (CLIP) has achieved remarkable success, but its performance can degrade when fine-tuned in out-of-distribution (OOD) scenarios. We model the prediction process using a Structural Causal Model (SCM) and…

Computer Vision and Pattern Recognition · Computer Science 2025-06-18 Zeen Song , Siyu Zhao , Xingyu Zhang , Jiangmeng Li , Changwen Zheng , Wenwen Qiang

In this paper, a method via sparse-sparse iteration for computing a sparse incomplete factorization of the inverse of a symmetric positive definite matrix is proposed. The resulting factorized sparse approximate inverse is used as a…

Numerical Analysis · Mathematics 2008-08-03 Davod Khojasteh Salkuyeh , Faezeh Toutounian

Bounded verification has proved useful to detect bugs and to increase confidence in the correctness of a program. In contrast to unbounded verification, reasoning about calls via (bounded) inlining and about loops via (bounded) unrolling…

Logic in Computer Science · Computer Science 2023-03-14 Thibault Dardinier , Gaurav Parthasarathy , Peter Müller

Prompting methods recently achieve impressive success in few-shot learning. These methods modify input samples with prompt sentence pieces, and decode label tokens to map samples to corresponding labels. However, such a paradigm is very…

Computation and Language · Computer Science 2022-04-05 Yutai Hou , Cheng Chen , Xianzhen Luo , Bohan Li , Wanxiang Che

Even with impressive advances in automated formal methods, certain problems in system verification and synthesis remain challenging. Examples include the verification of quantitative properties of software involving constraints on timing…

Logic in Computer Science · Computer Science 2015-03-19 Sanjit A. Seshia
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