Tootfinder

The Reflexive Integrated Information Unit: A Differentiable Primitive for Artificial Consciousness
Gnankan Landry Regis N'guessan, Issa Karambal
https://arxiv.org/abs/2506.13825

The Reflexive Integrated Information Unit: A Differentiable Primitive for Artificial Consciousness
Research on artificial consciousness lacks the equivalent of the perceptron: a small, trainable module that can be copied, benchmarked, and iteratively improved. We introduce the Reflexive Integrated Information Unit (RIIU), a recurrent cell that augments its hidden state $h$ with two additional vectors: (i) a meta-state $μ$ that records the cell's own causal footprint, and (ii) a broadcast buffer $B$ that exposes that footprint to the rest of the network. A sliding-window covariance and a dif…

Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs
Julius P. J. Krebbekx, Roland T\'oth, Amritam Das
https://arxiv.org/abs/2506.13518

Reset Controller Analysis and Design for Unstable Linear Plants using Scaled Relative Graphs
In technical communique, we develop a graphical design procedure for reset controllers for unstable LTI plants based on recent developments on Scaled Relative Graph analysis, yielding an $L_2$-gain performance bound. The stabilizing controller consists of a second order reset element in parallel with a proportional gain. The proposed method goes beyond existing approaches that are limited to stable systems only, providing a well-applicable approach to design problems in practice where the plant…

Energy and photon centroids of spatiotemporal light pulses and consequences for their intrinsic orbital angular momentum
Titouan Gadeyne, Thierry Ruchon
https://arxiv.org/abs/2506.13535

Energy and photon centroids of spatiotemporal light pulses and consequences for their intrinsic orbital angular momentum
An ongoing debate surrounding the intrinsic transverse orbital angular momentum (OAM) attributed to spatiotemporal optical vortex (STOV) light pulses has raised the energy and photon-density centroids as two alternative frameworks to define the center of a free electromagnetic wavepacket. We herein derive, within a single formalism, lowest-order expressions for the positions and velocities of both centroids, directly applicable to an arbitrary scalar, near-paraxial and quasi-monochromatic pulse…

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves
Jefferson Baudin
https://arxiv.org/abs/2506.14647 https://arxi…

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves
We prove a Witt vector version of the usual Grauert-Riemenschneider vanishing theorem over fields of positive characteristic, solving a question raised by Blickle, Esnault, Chatzistamatiaou and Rülling. We then deduce some rationality consequences for $F$-rational singularities.

London-based Definely, whose AI tools help law firms draft and review legal contracts, raised a $30M Series B led by Revaia, with Clio and others participating (Cate Lawrence/Tech.eu)
https://tech.eu/2025/06/09/uk-legaltech-de…

UK legaltech Definely secures $30M to boost global reach and AI development
UK legaltech company Definely has raised $30 million in Series B funding to accelerate its global expansion and AI product roadmap. This additional funding brings the total amount raised by Definely since its inception to $40 million. Launched in 2020 by Nnamdi Emelifeonwu and Feargus MacDaei, Definely was born from lived experience, including that of co-founder MacDaeid, who is registered blind after being diagnosed with a degenerative eye condition at age 11. Throughout his life, he consiste…

Amendments to the Montana Consumer Data Privacy Act Bring Big Changes to Big Sky Country
https://fpf.org/blog/amendments-to-the-montana-consumer-data-privacy-act-bring-big-changes-to-big-sky-country/

Source Identification Problem for a Nonlinear Subdiffusion Equation
R. R. Ashurov, O. T. Mukhiddinova
https://arxiv.org/abs/2506.11519 https://

Source Identification Problem for a Nonlinear Subdiffusion Equation
The work is devoted to the study of the inverse problem of determining the right-hand side of a nonlinear subdiffusion equation with a Caputo derivative with respect to time. Nonlinearity of the equation means that the right-hand side of the equation depends nonlinearly on the solution of the equation. The inverse problem consists of reconstructing the coefficient of the right-hand side, which depends on both time and spatial variables, under a measurement in an integral form. Similar inverse p…

Iterative Annealing Mechanism for Protein and RNA Chaperones
Changbong Hyeon, D. Thirumalai
https://arxiv.org/abs/2506.12645 https://…

Iterative Annealing Mechanism for Protein and RNA Chaperones
Molecular chaperones are machines that consume copious amount of ATP to drive misfolded proteins or RNA to fold into functionally competent native states. Because the folding landscapes of biomolecules with complex native state topology are rugged consisting of multiple minima that are separated by large free energy barriers, folding occurs by the kinetic partitioning mechanism according to which only a small fraction of the molecules reach the folded state in biologically viable times. The res…

Galaxies at the edges: a complete census of MACS J0416.1-2403 cluster
Rossella Ragusa, Maurizio D'Addona, Amata Mercurio, Marcella Longhetti, Marisa Girardi, Marianna Annunziatella, Nicolas Estrada, Claudio Grillo, Angela Iovino, Giula Rodighiero, Piero Rosati, Benedetta Vulcani, Giuseppe Angora, Hans Bohringer, Massimo Brescia, Gabriel Bartosch Caminha, Gayoung Chon, Fedor Getman, Aniello Grado, Marco Gullieuszik, Luca Limatola, Alessia Moretti, Luisa Pecoraro

Galaxies at the edges: a complete census of MACS J0416.1-2403 cluster
Numerous studies have established that the environment influences the physical properties of a galaxy. While gas inflows supply the fuel for SF, high density and temperature conditions suppress SF activity through various quenching processes. Investigations into large scale structures, such as filaments and overdense regions in the cluster outskirts, have focused on the low z. To move to intermediate z and explore galaxy pathways combined with environmental effects, it is crucial to join wide f…

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