Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, Volume 113, Issue 1, Page 38-56, September 2026.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Mirror Descent and Exponentiated Gradient Algorithms Using Trace-Form Entropies. [PDF]
Entropy (Basel)Cichocki A +3 more
europepmc +1 more source
Use of Bayesian Networks for the Forensic Evaluation of Gunshot Residue
WIREs Forensic Science, Volume 8, Issue 3, September 2026.Bayesian Networks can help evaluate gunshot residue given activity level propositions. This review discusses the different approaches that have been taken in the past and the challenges we are facing, with recommendations for future research. ABSTRACT Gunshot residue is a common type of trace considered in forensic science.
Yingxiu Guo +2 more
wiley +1 more source
Perfect adaptation in eukaryotic gradient sensing using cooperative allosteric binding. [PDF]
Phys Rev ESrinivasan V, Wang W, Camley BA.
europepmc +1 more source
Using Drones for Large Mammal Monitoring
Mammal Review, Volume 56, Issue 3, September 2026.Drones were used to obtain video data on animals and locations and distance from the midline was automatically determined by our pipeline so that the input for Distance sampling is generated. ABSTRACT Introduction The emergence of drones has profoundly transformed the field of large mammal monitoring, offering unprecedented capabilities for data ...
Chaim Chai Elchik +4 more
wiley +1 more source
Optimal and typical L 2 discrepancy of 2-dimensional lattices. [PDF]
Ann Mat Pura ApplBorda B.
europepmc +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Model-Driven Deep Learning Enables Speckle-Free Holography for 3D Parallel Nanofabrication. [PDF]
Research (Wash D C)Liu K +5 more
europepmc +1 more source
On Kotzig's Perfect Set Problem of Hamiltonian Cycle Decompositions of the Complete Graph
Journal of Combinatorial Designs, Volume 34, Issue 8, Page 388-409, August 2026.ABSTRACT A Hamiltonian cycle decomposition (HCD) of K n is a set of Hamiltonian cycles in which each 1‐path of K n appears exactly once. A Dudeney set of K n is a set of Hamiltonian cycles in which each 2‐path of K n appears exactly once. Kotzig's perfect set of HCDs of K n is a set of HCDs whose union forms a Dudeney set.
Nobuaki Mutoh
wiley +1 more source
Testing Using the DCP Probe of a Subgrade Modeled from Difficult-to-Compact Sand in a Calibration Chamber. [PDF]
Materials (Basel)Tymosiak D +6 more
europepmc +1 more source