QATS is a new polylog-time approximate decoding procedure for HMMs that builds admissible state sequences by locally maximizing likelihoods over paths with at most three segments via adaptive ternary segmentation and cumulative sum storage.
Four transformations on the Catalan triangle
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
abstract
In this paper, we define four transformations on the classical Catalan triangle $\mathcal{C}=(C_{n,k})_{n\geq k\geq 0}$ with $C_{n,k}=\frac{k+1}{n+1}\binom{2n-k}{n}$. The first three ones are based on the determinant and the forth is utilizing the permanent of a square matrix. It not only produces many known and new identities involving Catalan numbers, but also provides a new viewpoint on combinatorial triangles.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
StereoTales shows that all tested LLMs emit harmful stereotypes in open-ended stories, with associations adapting to prompt language and targeting locally salient groups rather than transferring uniformly across languages.
The authors create e-processes for monotonicity and unimodality testing that achieve power one and consistent mode estimation under i.i.d. sampling.
ICDN is a neural network that models log-demand from log-prices so elasticities can be derived exactly by differentiation, showing better out-of-sample performance than log-log benchmarks on beer sales data.
A horizon-aware Prophet model forecasts rail passenger assistance demand and feeds into a risk-based staffing framework, cutting forecast error by up to 76.9% and halving failed assistance deliveries.
Mathematical proofs are inherently reproducible by nature, unlike computational experiments which require shared code for equivalent scientific diligence.
citing papers explorer
-
Quick Adaptive Ternary Segmentation: An Efficient Decoding Procedure For Hidden Markov Models
QATS is a new polylog-time approximate decoding procedure for HMMs that builds admissible state sequences by locally maximizing likelihoods over paths with at most three segments via adaptive ternary segmentation and cumulative sum storage.
-
StereoTales: A Multilingual Framework for Open-Ended Stereotype Discovery in LLMs
StereoTales shows that all tested LLMs emit harmful stereotypes in open-ended stories, with associations adapting to prompt language and targeting locally salient groups rather than transferring uniformly across languages.
-
E-values and sequential power-one tests for monotonicity and unimodality
The authors create e-processes for monotonicity and unimodality testing that achieve power one and consistent mode estimation under i.i.d. sampling.
-
Integrable Elasticity via Neural Demand Potentials
ICDN is a neural network that models log-demand from log-prices so elasticities can be derived exactly by differentiation, showing better out-of-sample performance than log-log benchmarks on beer sales data.
-
Horizon-Aware Forecasting of Passenger Assistance Demand for Rail Station Workforce Planning
A horizon-aware Prophet model forecasts rail passenger assistance demand and feeds into a risk-based staffing framework, cutting forecast error by up to 76.9% and halving failed assistance deliveries.
-
Truth, Proof, and Reproducibility: There's no counter-attack for the codeless
Mathematical proofs are inherently reproducible by nature, unlike computational experiments which require shared code for equivalent scientific diligence.