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We investigated some difficulties that students often face when studying linear algebra at the undergraduate level, and identified some common mistakes and difficulties they often encountered when dealing with topics that require…

History and Overview · Mathematics 2023-03-31 N. Karjanto

Encrypted computation opens up promising avenues across a plethora of application domains, including machine learning, health-care, finance, and control. Arithmetic homomorphic encryption, in particular, is a natural fit for cloud-based…

Cryptography and Security · Computer Science 2024-10-29 Janis Adamek , Philipp Binfet , Nils Schlüter , Moritz Schulze Darup

The encoder-decoder models for unsupervised sentence representation learning tend to discard the decoder after being trained on a large unlabelled corpus, since only the encoder is needed to map the input sentence into a vector…

Neural and Evolutionary Computing · Computer Science 2019-06-03 Shuai Tang , Virginia R. de Sa

This paper proposes a generic approach for providing enhanced security to communication systems which encode their data for reliability before encrypting it through a stream cipher for security. We call this counter-intuitive technique the…

Cryptography and Security · Computer Science 2010-08-06 Frederique Oggier , Miodrag J. Mihaljevic

We introduce partial differential encodings of Boolean functions as a way of measuring the complexity of Boolean functions. These encodings enable us to derive from group actions non-trivial bounds on the Chow-Rank of polynomials used to…

Computational Complexity · Computer Science 2022-12-02 Edinah K. Gnang , Rongyu Xu

Protecting the confidentiality of private data and using it for useful collaboration have long been at odds. Modern cryptography is bridging this gap through rapid growth in secure protocols such as multi-party computation,…

Cryptography and Security · Computer Science 2023-06-12 Maximilian Zinkus , Yinzhi Cao , Matthew Green

The NeuroSAT neural network architecture was recently introduced for predicting properties of propositional formulae. When trained to predict the satisfiability of toy problems, it was shown to find solutions and unsatisfiable cores on its…

Neural and Evolutionary Computing · Computer Science 2019-07-23 Daniel Selsam , Nikolaj Bjørner

A new stream of research was born in the last decade with the goal of mining itemsets of interest using Constraint Programming (CP). This has promoted a natural way to combine complex constraints in a highly flexible manner. Although CP…

Artificial Intelligence · Computer Science 2012-07-27 Rui Henriques , Inês Lynce , Vasco Manquinho

This article is concerned with the application of the program extraction technique to a new class of problems: the synthesis of decision procedures for the classical satisfiability problem that are correct by construction. To this end, we…

Logic in Computer Science · Computer Science 2015-07-01 Ulrich Berger , Andrew Lawrence , Fredrik Nordvall Forsberg , Monika Seisenberger

Many constraint satisfaction problems involve synthesizing subgraphs that satisfy certain reachability constraints. This paper presents programs in Picat for four problems selected from the recent LP/CP programming competitions. The…

Artificial Intelligence · Computer Science 2021-09-20 Neng-Fa Zhou

Specifying a prior distribution is an essential part of solving Bayesian inverse problems. The prior encodes a belief on the nature of the solution and this regularizes the problem. In this article we completely characterize a Gaussian…

Numerical Analysis · Mathematics 2024-06-26 Kim Batselier

There have been several efforts to apply quantum SAT solving methods to factor large integers. While these methods may provide insight into quantum SAT solving, to date they have not led to a convincing path to integer factorization that is…

Cryptography and Security · Computer Science 2019-10-23 Michele Mosca , João Marcos Vensi Basso , Sebastian R. Verschoor

In order to classify the indeterministic termination behavior of the open source SAT solver CryptoMiniSat in multi-threading mode while processing hard to solve boolean satisfiability problem instances, internal solver runtime parameters…

Artificial Intelligence · Computer Science 2021-12-20 A. -M. Leventi-Peetz , Jörg-Volker Peetz , Martina Rohde

Cardinality constraints are important in many Sat problems; previous studies provide contradictory conclusions about the best encoding to use. Here, three encodings are compared: Sinz's sequential-counter, Bailleux and Boufkhad's…

Logic in Computer Science · Computer Science 2018-11-01 Ed Wynn

Foundational optimization embeddings have recently emerged as powerful pre-trained representations for mixed-integer programming (MIP) problems. These embeddings were shown to enable cross-domain transfer and reduce reliance on…

Machine Learning · Computer Science 2026-04-20 Koyena Pal , Serdar Kadioglu

Multimedia contents are inherently sensitive signals that must be protected whenever they are outsourced to an untrusted environment. This problem becomes a challenge when the untrusted environment must perform some processing on the…

Cryptography and Security · Computer Science 2018-01-30 Alberto Pedrouzo-Ulloa , Juan Ramón Troncoso-Pastoriza , Fernando Pérez-González

Inferring road graphs from satellite imagery is a challenging computer vision task. Prior solutions fall into two categories: (1) pixel-wise segmentation-based approaches, which predict whether each pixel is on a road, and (2) graph-based…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Songtao He , Favyen Bastani , Satvat Jagwani , Mohammad Alizadeh , Hari Balakrishnan , Sanjay Chawla , Mohamed M. Elshrif , Samuel Madden , Amin Sadeghi

Quantum annealers (QAs) are specialized quantum computers that minimize objective functions over discrete variables by physically exploiting quantum effects. Current QA platforms allow for the optimization of quadratic objectives defined…

Emerging Technologies · Computer Science 2018-11-07 Zhengbing Bian , Fabian Chudak , William Macready , Aidan Roy , Roberto Sebastiani , Stefano Varotti

Transformer-based approaches have revolutionized image super-resolution by modeling long-range dependencies. However, the quadratic computational complexity of vanilla self-attention mechanisms poses significant challenges, often leading to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Dinh Phu Tran , Thao Do , Saad Wazir , Seongah Kim , Seon Kwon Kim , Daeyoung Kim

Despite recent successes in natural language processing and computer vision, Transformer suffers from the scalability problem when dealing with graphs. The computational complexity is unacceptable for large-scale graphs, e.g., knowledge…

Machine Learning · Computer Science 2022-02-23 Lingbing Guo , Qiang Zhang , Huajun Chen