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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,657 papers · 148 categories

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1122 · Jun 201819922001200920172026
19 results for subword

New combinatorial framework for geometric realizations of subword complexes.

problem Proving or disproving geometric realizations of subword complexes of Coxeter groups.
method Algebraic combinatorics and discrete geometry framework, parameter matrices.
result Existence of parameter matrices equivalent to realizability of subword complexes as chirotopes.

The study proves a theorem about subword complexity for free group automorphisms.

problem Analyzing subword complexity for attracting fixed points of automorphisms of free groups.
method Combinatorial arguments and train tracks.
result Subword complexity of attracting fixed points is equivalent to n, n log log n, n log n, or n^2.

We propose several ways of reusing subword embeddings and other weights in subword-aware neural language models. The proposed techniques do not benefit a competitive character-aware model, but some of them improve the performance of syllable- and morpheme-aware models while showing significant reductions in model sizes…

2018-02-23abs ↗pdf ↗

This paper undertakes a study of the structure of the fibers of the Chevalley exponentiation maps f(i1,,id)f_{(i_1,\dots ,i_d)}. The fibers of these maps f(i1,,id)f_{(i_1,\dots ,i_d)} encode the nonnegative real relations amongst exponentiated Chevalley generators. Our main theorems show that the fibers admit cell stratifications, t…

2019-03-04abs ↗pdf ↗

Study on representations of four-punctured sphere group in hyperbolic spaces.

problem Understanding representations of the four-punctured sphere group.
method Investigation into simple-stable and Bowditch representations in Gromov-hyperbolic spaces.
result Simple-stable representations and Bowditch representations are equivalent.

We investigate intersections of geodesic lines in H2H^2 and in an associated tree T, proving the following result. Let M be a punctured hyperbolic torus and let γγ be a closed geodesic in M. Any edge of any triangle formed by distinct geodesic lines in the preimage of γγ in H2H^2 is shorter then γγ. However, a simil…

2018-06-08abs ↗pdf ↗

We introduce Probabilistic FastText, a new model for word embeddings that can capture multiple word senses, sub-word structure, and uncertainty information. In particular, we represent each word with a Gaussian mixture density, where the mean of a mixture component is given by the sum of n-grams. This representation al…

2018-06-07abs ↗pdf ↗

SAFER method certifies robustness to word substitutions without model structure.

problem Certified robustness against synonymous word substitutions in NLP models.
method Randomized smoothing with stochastic ensemble of randomized inputs.
result Significantly outperforms state-of-the-art methods for certified robustness.