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The Chrysalis project is a proposed method for post-quantum cryptography using the Riemann sphere. To this end, Riemann primitives are introduced in addition to a novel implementation of this new method. Chrysalis itself is the first…

Cryptography and Security · Computer Science 2023-07-26 Ian Malloy

Recent years have seen an increasing emphasis on information security, and various encryption methods have been proposed. However, for symmetric encryption methods, the well-known encryption techniques still rely on the key space to…

Cryptography and Security · Computer Science 2020-03-12 Xiang Li , Peng Wang

Most modern cryptographic systems, such as RSA and the Diffie-Hellman Key Exchange, rely on "trapdoor" mathematical functions that are presumed to be computationally difficult with existing tools. However, quantum computers will be able to…

Cryptography and Security · Computer Science 2025-05-15 Alexander Meyer

Masking-based post-hoc explanation methods, such as KernelSHAP and LIME, estimate local feature importance by querying a black-box model under randomized perturbations. This paper formulates this procedure as communication over a query…

Artificial Intelligence · Computer Science 2026-04-21 Erciyes Karakaya , Ozgur Ercetin

Imaging Inverse problems aim to reconstruct an underlying image from undersampled, coded, and noisy observations. Within the wide range of reconstruction frameworks, the unrolling algorithm is one of the most popular due to the synergistic…

Image and Video Processing · Electrical Eng. & Systems 2026-04-16 Roman Jacome , Romario Gualdrón-Hurtado , Leon Suarez-Rodriguez , Henry Arguello

A method is proposed for solving equality constrained nonlinear optimization problems involving twice continuously differentiable functions. The method employs a trust funnel approach consisting of two phases: a first phase to locate an…

Numerical Analysis · Mathematics 2017-07-04 Frank E. Curtis , Daniel P. Robinson , Mohammadreza Samadi

This paper investigates a reconciliation method in order to establish an errorless secret key in a QKD protocol. Classical key distribution protocols are no longer unconditionally secure because computational complexity of mathematical…

Quantum Physics · Physics 2020-02-19 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

This work presents PANTR, an efficient solver for nonconvex constrained optimization problems, that is well-suited as an inner solver for an augmented Lagrangian method. The proposed scheme combines forward-backward iterations with…

Optimization and Control · Mathematics 2023-06-30 Alexander Bodard , Pieter Pas , Panagiotis Patrinos

A weakness of next-hop routing is that following a link or router failure there may be no routes between some source-destination pairs, or packets may get stuck in a routing loop as the protocol operates to establish new routes. In this…

Data Structures and Algorithms · Computer Science 2014-11-12 Glencora Borradaile , W. Sean Kennedy , Gordon Wilfong , Lisa Zhang

We propose a permutation-invariant loss function designed for the neural networks reconstructing a set of elements without considering the order within its vector representation. Unlike popular approaches for encoding and decoding a set,…

Machine Learning · Computer Science 2018-12-06 Masataro Asai

So far, only the results on 3 qubit spaces (both on superconducting and ion-trap realisations of quantum processors) have beaten the classical unstructured search in the expected number of oracle calls using optimal protocols in both…

Neural cryptography is based on synchronization of tree parity machines by mutual learning. We extend previous key-exchange protocols by replacing random inputs with queries depending on the current state of the neural networks. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andreas Ruttor , Wolfgang Kinzel , Ido Kanter

The analysis of quantum algorithms which query random, invertible permutations has been a long-standing challenge in cryptography. Many techniques which apply to random oracles fail, or are not known to generalize to this setting. As a…

Quantum Physics · Physics 2025-09-24 Joseph Carolan

Conventional unsupervised hashing methods usually take advantage of similarity graphs, which are either pre-computed in the high-dimensional space or obtained from random anchor points. On the one hand, existing methods uncouple the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Yuming Shen , Jie Qin , Jiaxin Chen , Mengyang Yu , Li Liu , Fan Zhu , Fumin Shen , Ling Shao

Automatic annotation of short-text data to a large number of target labels, referred to as Short Text Extreme Classification, has found numerous applications including prediction of related searches and product recommendation. In this…

Computation and Language · Computer Science 2024-05-06 Siddhant Kharbanda , Atmadeep Banerjee , Devaansh Gupta , Akash Palrecha , Rohit Babbar

We present the High-speed Order-Preserving Encoder (HOPE) for in-memory search trees. HOPE is a fast dictionary-based compressor that encodes arbitrary keys while preserving their order. HOPE's approach is to identify common key patterns at…

Databases · Computer Science 2020-03-06 Huanchen Zhang , Xiaoxuan Liu , David G. Andersen , Michael Kaminsky , Kimberly Keeton , Andrew Pavlo

In the permutation inversion problem, the task is to find the preimage of some challenge value, given oracle access to the permutation. This is a fundamental problem in query complexity, and appears in many contexts, particularly…

Quantum Physics · Physics 2024-04-23 Gorjan Alagic , Chen Bai , Alexander Poremba , Kaiyan Shi

Second-order Newton-type algorithms that leverage the exact Hessian or its approximation are central to solve nonlinear optimization problems. However, their applications in solving large-scale nonconvex problems are hindered by three…

Optimization and Control · Mathematics 2026-04-08 Krishan Kumar , Ashutosh Sharma , Gauransh Dingwani , Nikhil Gupta , Vaishnavi Gupta , Ishan Bajaj

We describe a new algorithm, Minesweeper, that is able to satisfy stronger runtime guarantees than previous join algorithms (colloquially, `beyond worst-case guarantees') for data in indexed search trees. Our first contribution is…

Databases · Computer Science 2014-04-01 Hung Q. Ngo , Dung T. Nguyen , Christopher Ré , Atri Rudra

By resorting to basic features of topological knot theory we propose a (classical) cryptographic protocol based on the `difficulty' of decomposing complex knots generated as connected sums of prime knots and their mutants. The scheme…

Mathematical Physics · Physics 2011-12-26 Annalisa Marzuoli , Giandomenico Palumbo