Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
Gram Decay and Intrinsic Dimensions of Krylov Subspaces
ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
wiley +1 more source
Linking differences in personality to demography in the wandering albatross
Population dynamics are shaped by individual differences. With a good understanding of the relationships between individual differences and vital rates, population models can be improved to yield more realistic and detailed demographic projections. Personality is expected to shape individual differences in performance.
Joanie Van de Walle +7 more
wiley +1 more source
Representation Biases: Variance Is Not Always a Good Proxy for Importance. [PDF]
Lampinen AK, Chan SCY, Li Y, Hermann K.
europepmc +1 more source
Graph‐Theoretical Approach for Predicting Physicochemical Properties of Stiff‐Person Syndrome Drugs
Graph‐theoretical descriptors derived from M‐polynomials are integrated with quantitative structure–property relationship modeling and machine learning to uncover structure–property relationships of drugs used in stiff‐person syndrome. Strong correlations between degree‐based topological indices and key physicochemical properties are revealed ...
Jabbar Ali +3 more
wiley +1 more source
Modeling and analysis of fascioliasis disease with Katugampola fractional derivative: a memory-incorporated epidemiological approach. [PDF]
Pandey RK, Nisar KS.
europepmc +1 more source
Mathematical Modeling in Action: Design Principles for Mathematical Modeling Days
ABSTRACT Mathematical modeling is fundamental for numerous scientific and technical disciplines. CAMMP has taken on the challenge of providing high school students, university students, and teachers with authentic insights into modern, computer‐aided modeling practices.
Stephanie Hofmann +9 more
wiley +1 more source
A hybrid Daubechies wavelet collocation approach for a fractional-order SIR epidemic model with delay effects. [PDF]
Sarkar N, Sen M.
europepmc +1 more source
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley +1 more source

