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Flare7K: APhenomenological Nighttime Flare Removal Dataset (Supplementary Material)

Neural Information Processing Systems

In this supplementary material, we present additional details of the proposed Flare7K dataset and experimental settings and show more results. Figure 1: Illustration of a simplified lens system. In the lens and aperture plane, the light passes through the dirty aperture and lens system, leaving a scattering flare on the image plane. In this section, we use a simplified Fourier optics model to illustrate how different kinds of scattering flares occur. A basic lens system can be viewed as a combination of one convex lens, one aperture, and an image plane as shown in Figure 1. We set the optical center as the origin of a coordinate system. Then, the light source's position is (x0,y0, z0). It is a combination of aperture function eAλ(x,y) and a lens function eTL(x,y). Supposing the focus of the lens is f and the lens is ideal. After adjusting the origin of x1 and x2, Equation (11) can be viewed as a standard Fourier transformation. Thus, the point spread function (PSF) which is the square of the amplitude of the image plane's optical field can be written as: PSFλ = |F{eAλ(x,y)}|2. Since stains with depth may bring phase shift for the aperture function, the PSFλ may vary with the wavelength λof the light source.


Trump's DOJ Indicted the SPLC. His Supporters Are Already Looking for the Next Target.

Mother Jones

His Supporters Are Already Looking for the Next Target. "Grok has thoughts on who to look at next." Acting Attorney General Todd Blanche and FBI Director Kash Patel hold a press conference on their prosecution of the Southern Poverty Law Center on April 21, 2026. Get your news from a source that's not owned and controlled by oligarchs. The Justice Department this week announced criminal charges against the Southern Poverty Law Center, alleging that the longtime civil rights watchdog had defrauded its own donors by secretly paying large sums of money to informants within various hate groups.


materials

Neural Information Processing Systems

A.1 Access instructions OpenProteinSet is hosted by the Registry of Open Data on AWS (RODA) and can be accessed at the following link: registry.opendata.aws/openfold/. A.2 Documentation and intended uses We include a datasheet [1] in Section B. Detailed documentation on the precise structure and content of the dataset is provided on the dataset's landing page. A.3 Data format All OpenProteinSet files are in standard plaintext formats (A3M for MSAs, HHSearch format for template hits, and PDB for structure files) that can be read by a wide variety of bioinformatics software. A.5 License OpenProteinSet is made available under the CCBY 4.0 license. A copy of the license is provided with the dataset.




The DOJ is backing xAI in its lawsuit against Colorado

Engadget

The Department of Justice has announced that it's intervening on the behalf of xAI in the company's recent lawsuit against the state of Colorado. The law is set to go into effect in June, and the DOJ is now asking a Colorado District Court to declare it unconstitutional. In xAI's original argument, Colorado Bill SB24-205 violated the company's First Amendment rights by forcing its developers to change how they create AI products and compelling them to align their products with Colorado's views on diversity and discrimination. The DOJ acknowledges those concerns in its complaint, but specifically focuses its argument on the idea that the law violates the Equal Protection Clause of the Fourteenth Amendment. According to the DOJ, because the law relies on demographics and statistical disparities as evidence of discrimination, it will essentially require developers to distort an AI system's outputs and discriminate based on race, sex, religion and other protected characteristics, a violation of the Fourteenth Amendment.


What you need to know as Elon Musk's lawsuit against Sam Altman begins

Engadget

What you need to know as Elon Musk's lawsuit against Sam Altman begins It's sure to be cringe, and may end up costing OpenAI billions. OpenAI CEO Sam Altman speaks during the BlackRock Infrastructure Summit on March 11, 2026 in Washington, DC. In a few short days, jury selection will begin in the long-awaited case. At the end of that process, an Oakland federal court will task nine regular people with deciding if OpenAI defrauded Elon Musk when it announced, and recently completed, its reorganization to become a more traditional for-profit business . More than just being the venue where two billionaires will air their grievances against one another in public, the trial has the potential to reshape the AI industry.




Assumptions and Likelihoods in More Detail

Neural Information Processing Systems

A.1 Notation Let T be a failure time with CDFF. T's survival function is defined by F = 1 F. We denote failure models by FθT. Let C be a censoring time with CDFG, survival function G, and model GθC. Under right-censoring, define U = min(T,C), = 1 [T C] and we observe (Xi,Ui, i). We use G(t) to denote P(C t).