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This chapter studies the problem of decomposing a tensor into a sum of constituent rank one tensors. While tensor decompositions are very useful in designing learning algorithms and data analysis, they are NP-hard in the worst-case. We will…

Data Structures and Algorithms · Computer Science 2020-07-31 Aravindan Vijayaraghavan

Multimodal retrieval, which seeks to retrieve relevant content across modalities such as text or image, supports applications from AI search to contents production. Despite the success of separate-encoder approaches like CLIP align…

Computation and Language · Computer Science 2025-10-20 Qiyu Wu , Shuyang Cui , Satoshi Hayakawa , Wei-Yao Wang , Hiromi Wakaki , Yuki Mitsufuji

Formal verification techniques have been playing an important role in pre-silicon validation processes. One of the most important points considered in performing formal verification is to define good verification scopes; we should define…

Logic in Computer Science · Computer Science 2011-11-09 Yasushi Umezawa , Takeshi Shimizu

Hybrid model architectures that combine computational primitives (e.g., Attention, MLP) in different ratios have shown promising performance beyond Transformers. Some studies have shown that different interleavings of primitives can affect…

Mechanized verification of liveness properties for infinite programs with effects and nondeterminism is challenging. Existing temporal reasoning frameworks operate at the level of models such as traces and automata. Reasoning happens at a…

Programming Languages · Computer Science 2025-08-22 Eleftherios Ioannidis , Yannick Zakowski , Steve Zdancewic , Sebastian Angel

Anomaly detection is critical in industrial manufacturing for ensuring product quality and improving efficiency in automated processes. The scarcity of anomalous samples limits traditional detection methods, making anomaly generation…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Xuan Tong , Yang Chang , Qing Zhao , Jiawen Yu , Boyang Wang , Junxiong Lin , Yuxuan Lin , Xinji Mai , Haoran Wang , Zeng Tao , Yan Wang , Wenqiang Zhang

Human cognition exhibits systematic compositionality, the algebraic ability to generate infinite novel combinations from finite learned components, which is the key to understanding and reasoning about complex logic. In this work, we…

Computation and Language · Computer Science 2024-10-11 Jun Zhao , Jingqi Tong , Yurong Mou , Ming Zhang , Qi Zhang , Xuanjing Huang

Multi-hop Reading Comprehension (RC) requires reasoning and aggregation across several paragraphs. We propose a system for multi-hop RC that decomposes a compositional question into simpler sub-questions that can be answered by…

Computation and Language · Computer Science 2019-07-02 Sewon Min , Victor Zhong , Luke Zettlemoyer , Hannaneh Hajishirzi

Systematic compositionality is the ability to recombine meaningful units with regular and predictable outcomes, and it's seen as key to humans' capacity for generalization in language. Recent work has studied systematic compositionality in…

Computation and Language · Computer Science 2018-07-20 João Loula , Marco Baroni , Brenden M. Lake

Large Language Models (LLMs) have shown significant advances in text generation but often lack the reliability needed for autonomous deployment in high-stakes domains like healthcare, law, and finance. Existing approaches rely on external…

Artificial Intelligence · Computer Science 2024-11-12 Ninad Naik

Technological advancement allows information to be shared in just a single click, which has enabled the rapid spread of false information. This makes automated fact-checking system necessary to ensure the safety and integrity of our online…

Artificial Intelligence · Computer Science 2025-12-02 Anab Maulana Barik , Shou Ziyi , Yang Kaiwen , Yang Qi , Shen Xin

Tensor, also known as multi-dimensional array, arises from many applications in signal processing, manufacturing processes, healthcare, among others. As one of the most popular methods in tensor literature, Robust tensor principal component…

Machine Learning · Statistics 2025-12-18 Bo Shen , Yutong Zhang , Zhenyu , Kong

In this study, we introduced a new benchmark consisting of a curated dataset and a defined evaluation process to assess the compositional reasoning capabilities of large language models within the chemistry domain. We designed and validated…

Computation and Language · Computer Science 2025-08-07 Mohammad Khodadad , Ali Shiraee Kasmaee , Mahdi Astaraki , Nicholas Sherck , Hamidreza Mahyar , Soheila Samiee

Claim decomposition plays a crucial role in the fact-checking process by breaking down complex claims into simpler atomic components and identifying their unfactual elements. Despite its importance, current research primarily focuses on…

Computation and Language · Computer Science 2025-09-08 Minghui Huang

Continual learning (CL) has spurred the development of several methods aimed at consolidating previous knowledge across sequential learning. Yet, the evaluations of these methods have primarily focused on the final output, such as changes…

Machine Learning · Computer Science 2024-08-20 Nishant Suresh Aswani , Amira Guesmi , Muhammad Abdullah Hanif , Muhammad Shafique

Modern software systems are often realized by coordinating multiple heterogeneous parts, each responsible for specific tasks. These parts must work together seamlessly to satisfy the overall system requirements. To verify such complex…

Software Engineering · Computer Science 2025-08-19 Tim Kräuter , Adrian Rutle , Yngve Lamo , Harald König , Francisco Durán

The LASSO is an attractive regularisation method for linear regression that combines variable selection with an efficient computation procedure. This paper is concerned with enhancing the performance of LASSO for square-free hierarchical…

Methodology · Statistics 2023-05-10 Shaoxiong Hu , Hugo Maruri-Aguliar , Zixiang Ma

We present a verification methodology for analysing the decision-making component in agent-based hybrid systems. Traditionally hybrid automata have been used to both implement and verify such systems, but hybrid automata based modelling,…

Logic in Computer Science · Computer Science 2013-10-10 Louise A. Dennis , Michael Fisher , Nicholas K. Lincoln , Alexei Lisitsa , Sandor M. Veres

While standard Empirical Risk Minimization (ERM) training is proven effective for image classification on in-distribution data, it fails to perform well on out-of-distribution samples. One of the main sources of distribution shift for image…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Fahimeh Hosseini Noohdani , Parsa Hosseini , Aryan Yazdan Parast , Hamidreza Yaghoubi Araghi , Mahdieh Soleymani Baghshah

Concolic testing is a popular dynamic validation technique that can be used for both model checking and automatic test case generation. We have recently introduced concolic testing in the context of logic programming. In contrast to…

Logic in Computer Science · Computer Science 2016-08-11 Fred Mesnard , Etienne Payet , German Vidal