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Rethinking the Role of Positional Encoding: Sliding-Window Transformers without PE Remain Turing Complete

Announce Type: new Abstract: Positional encoding (PE) is widely viewed as necessary for transformers to process ordered sequences: without them, the next-token map appears permutation-invariant in its context tokens. This intuition underlies all prior universality results, which rely on positional information to prove that transformers with chain-of-thought can perform arbitrary computation, i.e., they are Turing complete. We revisit this belief in the regime most relevant to long-form...

arXiv CS 8d ago

PE-MHL: Physics-Encoded Modular Hybrid Layers for Scalable Learning of Complex Systems

arXiv:2606.04290v1 Announce Type: new Abstract: Hybrid models that combine physics-based and data-driven components have shown strong potential for achieving accuracy and interpretability in control applications. While recent methods have made progress in incorporating physical consistency, challenges remain in scalability, robustness to noise, and control of model complexity. This paper proposes a Physics-Encoded Modular Hybrid Layer (PE-MHL) framework, in which a baseline physics-based...

arXiv CS 6d ago

Rethinking the Role of Positional Encoding: Sliding-Window Transformers without PE Remain Turing Complete

arXiv:2606.01532v2 Announce Type: replace Abstract: Positional encoding (PE) is widely viewed as necessary for transformers to process ordered sequences: without them, the next-token map appears permutation-invariant in its context tokens. This intuition underlies all prior universality results, which rely on positional information to prove that transformers with chain-of-thought can perform arbitrary computation, i.e., they are Turing complete. We revisit this belief in the regime most...

arXiv CS 7d ago

'Ek bihari, sab pe bhari': Sooryavanshi receives Virat Kohli's special praise

Virat Kohli had a special message for teenage sensation Vaibhav Sooryavanshi following the conclusion of a remarkable IPL 2026 season. It was a night that celebrated two of the tournament's biggest stars, one who led his team to championship glory and another who captured the imagination of cricket fans with a breakthrough campaign for the ages. After Royal Challengers Bengaluru secured their second consecutive IPL title, Kohli was seen congratulating Sooryavanshi, who swept the season awards.

Times of India 7d ago

'Ek Bihari, sab pe bhari': After a record-breaking IPL, Sooryavanshi gets his India moment

Vaibhav Sooryavanshi's childhood coach Manish Ojha describes his ward as a "God's child" and credits fate and divine guidance for bringing the youngster to his academy. "A couple of years ago, I thanked Vaibhav's father (Sanjeev Sooryavanshi) for bringing the kid to me. Ispe bhagwaan ka haath hai (He is God's child).

Times of India 4d ago

“Koi mat aana yaha pe” Kedarnath Dham pilgrim shares her harrowing experience

An Indian traveller's experience of her recent pilgrimage to Kedarnath Yatra is receiving attention among travellers for reasons other than the actual destination; rather, due to the difficulties which she has encountered during her journey. In one of her videos posted online, she states that she had made extensive plans for her Kedarnath Yatra well ahead of time. The journey, however, turned out to be a test of patience and not the spiritual experience that she had expected it to be.

Times of India 8d ago

PE teacher banned after ringing colleague 70 times on Christmas Day

Ben Russell was also found to be in possession of cocaine after he was arrested on Boxing Day

The Independent UK 12d ago

Nestle’s Longtime PE Partner Drops Out of Bidding for Perrier

A bird's nest logo sits on display at the Nestle SA headquarters in Vevey, Switzerland, on Wednesday, Feb. 12, 2019. While Nestle’s 2019 sales growth accelerated, analysts doubt the world’s largest food company will achieve growth above 4% this year.

Bloomberg Markets 1d ago

PE-Owned JetBio Plans Landmark Green Jet Fuel Plant in Brazil

An aircraft flies past the April full moon, in Frankfurt, on April 1.

Bloomberg Markets 8d ago