Tootfinder

Beyond Semantic Understanding: Preserving Collaborative Frequency Components in LLM-based Recommendation
Minhao Wang, Yunhang He, Cong Xu, Zhangchi Zhu, Wei Zhang
https://arxiv.org/abs/2508.10312

Beyond Semantic Understanding: Preserving Collaborative Frequency Components in LLM-based Recommendation
Recommender systems in concert with Large Language Models (LLMs) present promising avenues for generating semantically-informed recommendations. However, LLM-based recommenders exhibit a tendency to overemphasize semantic correlations within users' interaction history. When taking pretrained collaborative ID embeddings as input, LLM-based recommenders progressively weaken the inherent collaborative signals as the embeddings propagate through LLM backbones layer by layer, as opposed to tradition…

A triple torsion linking form and 3-manifolds in $S^4$
Michael Freedman, Vyacheslav Krushkal
https://arxiv.org/abs/2506.11941 https://

A triple torsion linking form and 3-manifolds in $S^4$
Given a rational homology 3-sphere $M$, we introduce a triple linking form on $H_1(M; \mathbb{Z})$, defined when the classical torsion linking pairing of three homology classes vanishes pairwise. If $M$ is the boundary of a simply-connected 4-manifold $N$, the triple linking form can be computed in terms of the higher order intersection form on $N$, introduced by Matsumoto. We use these methods to formulate an embedding obstruction for rational homology spheres in $S^4$, extending a 1938 theore…

Learning Obfuscations Of LLM Embedding Sequences: Stained Glass Transform
Jay Roberts, Kyle Mylonakis, Sidhartha Roy, Kaan Kale
https://arxiv.org/abs/2506.09452

Learning Obfuscations Of LLM Embedding Sequences: Stained Glass Transform
The high cost of ownership of AI compute infrastructure and challenges of robust serving of large language models (LLMs) has led to a surge in managed Model-as-a-service deployments. Even when enterprises choose on-premises deployments, the compute infrastructure is typically shared across many teams in order to maximize the return on investment. In both scenarios the deployed models operate only on plaintext data, and so enterprise data owners must allow their data to appear in plaintext on a …

Multi-Faceted Large Embedding Tables for Pinterest Ads Ranking
Runze Su, Jiayin Jin, Jiacheng Li, Sihan Wang, Guangtong Bai, Zelun Wang, Li Tang, Yixiong Meng, Huasen Wu, Zhimeng Pan, Kungang Li, Han Sun, Zhifang Liu, Haoyang Li, Siping Ji, Ling Leng, Prathibha Deshikachar
https://arxiv.org/abs/2508.05700

Multi-Faceted Large Embedding Tables for Pinterest Ads Ranking
Large embedding tables are indispensable in modern recommendation systems, thanks to their ability to effectively capture and memorize intricate details of interactions among diverse entities. As we explore integrating large embedding tables into Pinterest's ads ranking models, we encountered not only common challenges such as sparsity and scalability, but also several obstacles unique to our context. Notably, our initial attempts to train large embedding tables from scratch resulted in neutral…

How Does a Virtual Agent Decide Where to Look? - Symbolic Cognitive Reasoning for Embodied Head Rotation
Juyeong Hwang, Seong-Eun Hon, JaeYoung Seon, Hyeongyeop Kang
https://arxiv.org/abs/2508.08930

How Does a Virtual Agent Decide Where to Look? - Symbolic Cognitive Reasoning for Embodied Head Rotation
Natural head rotation is critical for believable embodied virtual agents, yet this micro-level behavior remains largely underexplored. While head-rotation prediction algorithms could, in principle, reproduce this behavior, they typically focus on visually salient stimuli and overlook the cognitive motives that guide head rotation. This yields agents that look at conspicuous objects while overlooking obstacles or task-relevant cues, diminishing realism in a virtual environment. We introduce SCOR…

Stability of discrete-symmetry flocks: sandwich state, traveling domains and motility-induced pinning
Swarnajit Chatterjee, Mintu Karmakar, Matthieu Mangeat, Heiko Rieger, Raja Paul
https://arxiv.org/abs/2507.08187

Stability of discrete-symmetry flocks: sandwich state, traveling domains and motility-induced pinning
Polar flocks in discrete active systems are often assumed to be robust, yet recent studies reveal their fragility under both imposed and spontaneous fluctuations. Here, we revisit the four-state active Potts model (APM) and show that its globally ordered phase is metastable across a broad swath of parameter space. Small counter-propagating droplets disrupt the flocking phase by inducing a persistent sandwich state, where the droplet-induced opposite-polarity lane remains embedded within the ori…

Embedded contact homology of the unit cotangent bundle of the Klein bottle
Marcelo Miranda, Vinicius G. B. Ramos
https://arxiv.org/abs/2508.06400 https://a…

Embedded contact homology of the unit cotangent bundle of the Klein bottle
We give a combinatorial description of the embedded contact homology chain complex of the unit cotangent bundle of the Klein bottle with the standard flat Riemannian metric. Using pseudoholomorphic curves coming from the associated differential, we find an obstruction theorem for symplectic embeddings of toric domains $X_Ω\subset \mathbb{C}^2$ into the unit disk cotangent bundle $D^*K$. As an application we compute the Gromov width of $D^*K$.

The Trump administration’s deployment of national guard troops to Los Angeles
to intervene in civilian protests in the face of opposition from the Californian governor
is a major escalation that risks the politicisation of the US military, armed service veterans are warning.
Former top military figures have told the Guardian that the decision to put up to 2,000 troops under federal control and send them into the streets of LA
is a violation of the military’s commitmen…

Cubic torus obstructions of small Betti number
Marie Kramer
https://arxiv.org/abs/2507.00876 https://arxiv.org/pdf/2507.00876

Cubic torus obstructions of small Betti number
The embeddability of graphs into surfaces has been studied for nearly a century. While the complete set of topological obstructions is known for the sphere and the real projective plane, there are only partial results for the torus. Here we present a theoretical classification of cubic torus obstructions with Betti number at most eight.

Valencia Street desperately needs wider sidewalks: they're absurdly substandard for the pedestrian traffic they carry. But there’s no plan for that, so the city is about to plant a new tree here that will then be an obstacle in the middle of the sidewalk when finally widened 🫠