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Related Articles from SNS
Ordinals and recursively defined functions on the reals
arXiv:2311.17210v5 Announce Type: replace-cross Abstract: We determine sufficient conditions under which certain recursively defined functions are well defined for all real inputs. Given a function $f:\mathbb R\to\mathbb R$, call a decreasing sequence $x_1>x_2>x_3>\cdots$ "$f$-bad" if $f(x_1)>f(x_2)>f(x_3)>\cdots$, and call the function $f$ "ordinal decreasing" if there exist no infinite $f$-bad sequences. We prove the following result:
TabSODA: Tabular Diffusion based Imputation with Skip Pattern Detection and Ordinal Awareness
arXiv:2606.05361v1 Announce Type: cross Abstract: Missing data imputation in large-scale surveys faces two challenges that are not well handled by current tabular diffusion methods. First, \emph{structural skips}, cells made inapplicable by questionnaire design, should not be imputed but are often conflated with item nonresponse. Second, \emph{ordinal} responses encode ordered categories, yet most pipelines treat them as nominal levels through one-hot or analog-bit encodings.
Pairwise Reference Alignment as a Model-Level Ordinal Observable
Announce Type: new Abstract: Pairwise preference data is widely used in language-model evaluation and alignment, often for model ranking, reward modeling, or preference optimization. This note formulates a more basic measurement question: given a reference distribution of pairwise preferences, what model-level quantity is estimated when we test whether a model ranks preferred responses above rejected responses? We define pairwise reference alignment as an ordinal observable induced by a...
Cabinet backs ordinance to ease tax rules for foreign investors in some securities
The Union Cabinet on Wednesday recommended an ordinance to ease tax rules for foreign investors in some categories of securities. The details of the proposal moved by the finance ministry were not immediately available. However, it is being seen as an effort to help strengthen the rupee, which has weakened 6% against the US dollar as foreign portfolio investors have pulled out a record Rs 2.6 lakh crore from equities since Jan.
Emergent Ordinal Geometry in Transformers Trained on Local Comparisons
arXiv:2606.01269v2 Announce Type: replace Abstract: Transitive inference is the challenge of inferring that A < C from knowing only adjacent relations (A < B, B < C). It is solved by humans and animals not through logical chaining but via an analogue mental number line, whose signature is the symbolic distance effect: distant comparisons are easier than nearby ones. We ask whether Transformers acquire the same primitive, training small models exclusively on adjacent comparisons from a hidden...
Emergent Ordinal Geometry in Transformers Trained on Local Comparisons
arXiv:2606.01269v1 Announce Type: new Abstract: Transitive inference is the challenge of inferring that A < C from knowing only adjacent relations (A < B, B < C). It is solved by humans and animals not through logical chaining but via an analogue mental number line, whose signature is the symbolic distance effect: distant comparisons are easier than nearby ones. We ask whether Transformers acquire the same primitive, training small models exclusively on adjacent comparisons from a hidden...
Russell T Davies hits out at Gwyneth Paltrow and 'privileged' Hollywood stars over intimacy co‑ordinator remarks
The Welsh screenwriter made the comments ahead of his new Channel 4 drama, Tip Toe.
Govt exempts capital gains tax on FIIs' govt bond investments
With an aim to attract foreign capital, the government on Friday promulgated an ordinance to exempt capital gains tax on investments made by Foreign Institutional Investors in government securities, according to a PTI report. The move is aimed at making Indian debt markets more attractive to overseas investors while helping shield the economy from the effects of the continuing Iran conflict. The Union Cabinet, chaired by Prime Minister Narendra Modi, approved an ordinance on Wednesday to...
Learning Transferable Predictability Representations
Announce Type: new Abstract: We study the problem of assigning a scalar score to a short trajectory window that reflects its position on an ordered continuum of predictability regimes, spanning structured deterministic dynamics to unstructured stochastic noise. Existing methods address deterministic-versus-stochastic discrimination within a single system and do not produce scores with a consistent numerical interpretation across systems. We formalize this as ordinal estimation over a...
ArrowFlow: Hierarchical Machine Learning in the Space of Permutations
Announce Type: replace Abstract: We introduce ArrowFlow, a machine learning architecture that operates entirely in the space of permutations. Its computational units are ranking filters, learned orderings that compare inputs via Spearman's footrule distance and update through permutation-matrix accumulation, a non-gradient rule rooted in displacement evidence. Layers compose hierarchically: each layer's output ranking becomes the next layer's input, enabling deep ordinal representation...