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Structure-preserving numerical methods are crucial for achieving long-time accurate, stable, consistent and physically meaningful simulations. In this talk, we present H^1 and H(div) conforming spectr...
In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow,surface diffusion flow, Willmore flow, etc., which arise from materials science...
In this talk, we present our work on structure-preserving machine learning (ML) moment closure models for the radiative transfer equation. Most of the existing ML closure models are not able to guaran...
We show how to construct structure-preserving signatures (SPS) and unbounded quasi-adaptive non-interactive zero-knowledge (USS QA-NIZK) proofs with a tight security reduction to simple assumptions, b...
In their celebrated work, Groth and Sahai [EUROCRYPT'08, SICOMP' 12] constructed non-interactive zero-knowledge (NIZK) proofs for general bilinear group arithmetic relations, which spawned the entire ...
Re-randomizable RCCA-secure public key encryption (Rand-RCCA PKE) schemes reconcile the property of re-randomizability of the ciphertexts with the need of security against chosen-ciphertexts attacks.
Structure-Preserving Signatures (SPSs) are a useful tool for the design of modular cryptographic protocols. Recent series of works have shown that by limiting the message space of those schemes to the...
Lower bounds for structure-preserving signature (SPS) schemes based on non-interactive assumptions have only been established in the case of unilateral messages, i.e. schemes signing tuples of group e...
We provide a structure-preserving signature (SPS) scheme with an (almost) tight security reduction to a standard assumption. Compared to the state-of-the-art tightly secure SPS scheme of Abe et al.
Structure Preserving Signatures (SPS) allow the signatures and the messages signed to be further encrypted while retaining the ability to be proven valid under zero-knowledge. In particular, SPS are t...
Structure-Preserving Signatures (SPSs) are an important tool for the design of modular cryptographic protocols. It has been proven that such schemes in the most efficient Type-3 bilinear group setting...
In structure-preserving cryptography, every building block shares the same bilinear groups. These groups must be generated for a specific, a prior fixed security level, and thus it is vital that the s...
We show that the recent structure-preserving signature (SPS) scheme of Kiltz, Pan and Wee [CRYPTO 2015], provably secure under the standard bilinear pairings group assumption SXDH, can be improved to ...
In this paper, we bridge the gap between structure-preserving signatures (SPSs) and fully structure-preserving signatures (FSPSs). In SPSs, all the messages, signatures, and verification keys consist ...
Structure-preserving signatures are an important cryptographic primitive that is useful for the design of modular cryptographic protocols. It has been proven that structure-preserving signatures (in t...

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