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A Nesting-Free Normal Form for Nested Conditions in Finite Lattices of Subgraphs

[Submitted on 26 Jan 2026 (v1), last revised 1 Jun 2026 (this version, v3)] Title:A Nesting-Free Normal Form for Nested Conditions in Finite Lattices of Subgraphs View PDF HTML (experimental)Abstract:We present a nesting-free normal form for the formalism of nested conditions and constraints in the context of finite lattices of subgraphs. Submission history From: Jens Kosiol [view email][v1]

arXiv CS 8d ago

The Grothendieck Constant is Less Than $\frac{\pi}{2 \log (1+ \sqrt{2})} - 10^{-5}$

Computer Science > Data Structures and Algorithms [Submitted on 2 Jun 2026 (v1), last revised 6 Jun 2026 (this version, v2)] Title:The Grothendieck Constant is Less Than $\fracπ{2 \log (1+ \sqrt{2})} - 10^{-5}$ View PDF HTML (experimental)Abstract:We prove that the Grothendieck constant $K_G 0$. Submission history From: Pravesh K Kothari [view email][v1] Tue, 2 Jun 2026 17:59:53 UTC (829 KB)

arXiv CS 1d ago

Stepsize Hedging: an Alternative Mechanism for Accelerating Gradient Descent

Mathematics > Optimization and Control [Submitted on 29 May 2026 (v1), last revised 2 Jun 2026 (this version, v2)] Title:Stepsize Hedging: an Alternative Mechanism for Accelerating Gradient Descent View PDFAbstract:Can gradient descent be accelerated by just choosing better stepsizes?

arXiv CS 7d ago

Obituary: Aristophanes Dimakis

Physics > History and Philosophy of Physics [Submitted on 11 Aug 2021 (v1), last revised 4 Jun 2026 (this version, v3)] Title:Obituary: Aristophanes Dimakis View PDF HTML (experimental)Abstract:The theoretical physicist and mathematician Aristophanes Dimakis passed away on July 8, 2021, at the age of 68, in Athens, Greece. We briefly review his life, career and scientific achievements.

arXiv Physics 2d ago

Approximating Probabilistic Inference in Statistical EL with Knowledge Graph Embeddings

Computer Science > Artificial Intelligence [Submitted on 16 Jul 2024 (v1), last revised 2 Jun 2026 (this version, v2)] Title:Approximating Probabilistic Inference in Statistical EL with Knowledge Graph Embeddings View PDF HTML (experimental)Abstract:Statistical information is ubiquitous but drawing valid conclusions from it is prohibitively hard. We explain how knowledge graph embeddings can be used to approximate probabilistic inference efficiently using the example of Statistical EL (SEL),...

arXiv CS 7d ago

Optimal Wiener-Filter Solutions for Denoising of Graph Signals on Directed Graphs

Electrical Engineering and Systems Science > Signal Processing [Submitted on 5 Jun 2026] Title:Optimal Wiener-Filter Solutions for Denoising of Graph Signals on Directed Graphs View PDF HTML (experimental)Abstract:Graph signal processing has opened new avenues to the canonical denoising problem in interesting settings.

arXiv CS 1d ago

Unsupervised Learning Based Focal Stack Camera Depth Estimation

Electrical Engineering and Systems Science > Image and Video Processing [Submitted on 14 Mar 2022 (v1), last revised 3 Jun 2026 (this version, v3)] Title:Unsupervised Learning Based Focal Stack Camera Depth Estimation View PDFAbstract:We propose an unsupervised deep learning based method to estimate depth from focal stack camera images. On the NYU-v2 dataset, our method achieves much better depth estimation accuracy compared to single-image based methods.

arXiv CS 2d ago

Atmospheric Methane Removal as a Third Climate Intervention: Termination Risks and Air Pollutant Effects

Physics > Atmospheric and Oceanic Physics [Submitted on 24 Jan 2026 (v1), last revised 29 May 2026 (this version, v3)] Title:Atmospheric Methane Removal as a Third Climate Intervention: Termination Risks and Air Pollutant Effects View PDFAbstract:Atmospheric Methane Removal (AMR) is a third class of climate intervention, along with Carbon Dioxide Removal (CDR) and Solar Radiation Management (SRM). We show that, unlike CDR, the avoided warming by AMR is not durable due to methane's short...

arXiv Physics 8d ago

Generative Models and Statistical Validation

High Energy Physics - Phenomenology [Submitted on 28 May 2026] Title:Generative Models and Statistical Validation View PDF HTML (experimental)Abstract:Generative machine learning has become an essential tool in theoretical and experimental physics, especially in the context of fast surrogates and density estimators. In this work, we first introduce the underlying framework of modern generative networks and then discuss challenges in quantifying their accuracy, precision, and statistical power.

arXiv Physics 9d ago

Do Transformers Need Three Projections? Systematic Study of QKV Variants

Computer Science > Machine Learning [Submitted on 1 Jun 2026] Title:Do Transformers Need Three Projections? Systematic Study of QKV Variants View PDF HTML (experimental)Abstract:Transformers have become the standard solution for various AI tasks, with the query, key, and value (QKV) attention formulation playing a central role.

Hacker News 5d ago