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The Alphabet Projection of Mass Spectrometry Data

Selection on $X_1 + X_1 + \cdots X_m$ via Cartesian product tree

Performance of algorithms for selection on $X_1+X-2+\cdots+X_m$ are compared empirically, demonstrating the benefit of the algorithm proposed here.
arXiv (opens in a new tab)

On Solving Probabilistic Linear Diophantine Equations

The “trimmed p -convolution tree” is introduced an approach that generalizes the applicability of the existing methods and achieves a runtime within a log -factor or better compared to the best existing methods.
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Understanding the correlation function of the inhomogeneous hard-sphere fluid

Soft fundamental measure theory functional for the Weeks-Chandler-Andersen repulsive potential.

We introduce a soft fundamental measure theory functional for the purely repulsive Weeks-Chandler-Andersen (WCA) fluid. This classical density functional could serve as a reference fluid for…
PubMed (opens in a new tab)

Selection on X1+X2+⋅⋅⋅ + Xm with layer-ordered heaps

Selection on X1 + X1 + ... Xm via Cartesian product tree

ZERO-KNOWLEDGE DE NOVO ALGORITHMS FOR ANALYZING SMALL MOLECULES USING MASS SPECTROMETRY

Optimal construction of a layer-ordered heap

A few algorithms for constructing LOHs are introduced, their complexity is analyzed, and it is demonstrated that one algorithm is optimal for building a LOH of any rank $\alpha$.
arXiv (opens in a new tab)

Selection on $X_1+X_2+\cdots + X_m$ with layer-ordered heaps

The ``layer-ordered heap,'' a simple special class of heap with which a new, fast selection algorithm on the Cartesian product of arrays of length $n$ has runtime is introduced.
arXiv (opens in a new tab)
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