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A heuristic model procedure for determining satisfiability of CNF-formulae is set up and described by nonlinear recursion relations for m (number of clauses), n (number of variables) and clause filling k. The system mimicked by the…

Computational Complexity · Computer Science 2014-11-12 Bernd R. Schuh

A function $f:\mathbb{Z}_n \to \mathbb{C}$ can be represented as a linear combination $f(x)=\sum_{\alpha \in \mathbb{Z}_n}\widehat{f}(\alpha) \chi_{\alpha,n}(x)$ where $\widehat{f}$ is the (discrete) Fourier transform of $f$. Clearly, the…

Classical Analysis and ODEs · Mathematics 2016-10-27 Joel Laity , Barak Shani

In the field of information retrieval, query expansion (QE) has long been used as a technique to deal with the fundamental issue of word mismatch between a user's query and the target information. In the context of the relationship between…

Information Retrieval · Computer Science 2022-08-16 Hiteshwar Kumar Azad , Akshay Deepak

We describe the emergence of a Convolution Bottleneck (CBN) structure in CNNs, where the network uses its first few layers to transform the input representation into a representation that is supported only along a few frequencies and…

Machine Learning · Computer Science 2025-03-07 Yuxiao Wen , Arthur Jacot

Recent studies have shown that sequence-to-sequence (seq2seq) models struggle with compositional generalization (CG), i.e., the ability to systematically generalize to unseen compositions of seen components. There is mounting evidence that…

Computation and Language · Computer Science 2023-10-19 Lei Lin , Shuangtao Li , Yafang Zheng , Biao Fu , Shan Liu , Yidong Chen , Xiaodong Shi

In this paper, we present the first comprehensive categorization of essential commonsense knowledge for answering the Winograd Schema Challenge (WSC). For each of the questions, we invite annotators to first provide reasons for making…

Artificial Intelligence · Computer Science 2020-05-13 Hongming Zhang , Xinran Zhao , Yangqiu Song

Trust in counterfactual explanations depends critically on whether their recommended changes are truly minimal: suboptimal explanations may vastly overshoot the actual changes needed to alter a decision, and heuristic errors can affect…

Machine Learning · Computer Science 2026-05-08 Awa Khouna , Youssouf Emine , Julien Ferry , Thibaut Vidal

Ultra-fine entity typing (UFET) predicts extremely free-formed types (e.g., president, politician) of a given entity mention (e.g., Joe Biden) in context. State-of-the-art (SOTA) methods use the cross-encoder (CE) based architecture. CE…

Computation and Language · Computer Science 2022-12-20 Chengyue Jiang , Wenyang Hui , Yong Jiang , Xiaobin Wang , Pengjun Xie , Kewei Tu

Many deep learning architectures for semantic segmentation involve a Fully Convolutional Neural Network (FCN) followed by a Conditional Random Field (CRF) to carry out inference over an image. These models typically involve unary potentials…

Computer Vision and Pattern Recognition · Computer Science 2018-05-25 Cristina Mata , Guy Ben-Yosef , Boris Katz

Circuit Satisfiability (CSAT) plays a pivotal role in Electronic Design Automation. The standard workflow for solving CSAT problems converts circuits into Conjunctive Normal Form (CNF) and employs generic SAT solvers powered by…

Artificial Intelligence · Computer Science 2025-08-07 Jiaying Zhu , Ziyang Zheng , Zhengyuan Shi , Yalun Cai , Qiang Xu

We extend the results of Part I by considering a new class of agreement tasks, the so-called k-Threshold Agreement tasks (previously introduced by Charron-Bost and Le Fessant). These tasks naturally interpolate between Atomic Commitment and…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Bernadette Charron-Bost

Deep learning has recently achieved remarkable performance in image classification tasks, which depends heavily on massive annotation. However, the classification mechanism of existing deep learning models seems to contrast to humans'…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zunlei Feng , Tian Qiu , Sai Wu , Xiaotuan Jin , Zengliang He , Mingli Song , Huiqiong Wang

Most existing works on continual learning (CL) focus on overcoming the catastrophic forgetting (CF) problem, with dynamic models and replay methods performing exceptionally well. However, since current works tend to assume exclusivity or…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Sijia Wang , Yoojin Choi , Junya Chen , Mostafa El-Khamy , Ricardo Henao

The infinite affine Lie algebras of type ABCD, also called $\widehat{\mathfrak{gl}}(\infty)$, $\widehat{\mathfrak{o}}(\infty)$, $\widehat{\mathfrak{sp}}(\infty)$, are equivalent to subalgebras of the quantum $W_{1+\infty}$ algebras. They…

High Energy Physics - Theory · Physics 2021-06-16 Jean-Emile Bourgine

Conformal prediction (CP) is widely presented as distribution-free predictive inference with finite-sample marginal coverage under exchangeability. We argue that CP is best understood as a rank-calibrated descendant of the…

Statistics Theory · Mathematics 2025-12-30 Jyotishka Datta , Nicholas G. Polson , Vadim Sokolov , Daniel Zantedeschi

In the competing risks problem, an important role is played by the cumulative incidence function (CIF), whose value at time $t$ is the probability of failure by time $t$ from a particular type of failure in the presence of other risks. In…

Statistics Theory · Mathematics 2007-06-13 Hammou El Barmi , Hari Mukerjee

As a fundamental task in Information Retrieval and Computational Linguistics, sentence representation has profound implications for a wide range of practical applications such as text clustering, content analysis, question-answering…

Computation and Language · Computer Science 2025-05-02 Bowen Zhang , Zixin Song , Chunping Li

In order to oversee advanced AI systems, it is important to understand their underlying decision-making process. When prompted, large language models (LLMs) can provide natural language explanations or reasoning traces that sound plausible…

Computation and Language · Computer Science 2024-06-10 Noah Y. Siegel , Oana-Maria Camburu , Nicolas Heess , Maria Perez-Ortiz

Task-incremental continual learning refers to continually training a model in a sequence of tasks while overcoming the problem of catastrophic forgetting (CF). The issue arrives for the reason that the learned representations are forgotten…

Machine Learning · Computer Science 2023-05-23 Yun Luo , Xiaotian Lin , Zhen Yang , Fandong Meng , Jie Zhou , Yue Zhang

Knowledge bases are important resources for a variety of natural language processing tasks but suffer from incompleteness. We propose a novel embedding model, \emph{ITransF}, to perform knowledge base completion. Equipped with a sparse…

Computation and Language · Computer Science 2017-05-04 Qizhe Xie , Xuezhe Ma , Zihang Dai , Eduard Hovy
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