Three main readings: polar-decomposition circuits, forward/backward compute budgets, and distribution shift under data scaling. Another 31 new-preprint/technical-blog briefs and 25 unverified revision notices retain their original dates. The Score-SDE classic derives the one-half factor in probability flow.
Muon's cost depends on reusing matrix products, not only polynomial degree. For normalized X, Polar Switch searches polynomial circuits with limited buffers; the corresponding singular-value map is an odd polynomial. [1]
Spectral map in exact arithmetic; not an elementwise rule for arbitrary noncommuting buffers
X=UΣV⊤,X←h(XX⊤)X=U[Σh(Σ2)]V⊤,p(σ)=σh(σ2)
Restricted circuit: k matrix products; both coefficients and buffer connections are searched
Xuyuan Xiong · Siyu Chen · Zihan Shao · Yue Su · Weiyang Jin · Ping Luo · Zhuoran Yang · Xihui Liu
First posted 2026-10-19 04:52 EDT · v1
Let T be forward loops and B≤T backward loops. Across 592 runs with 58–919M non-embedding parameters, repeated computation is mapped to effective parameters; N_once / N_rec count non-recurrent / recurrent parameters. [2]
Empirical fit; D counts training tokens, not a universal scaling theorem
Eight real tabular tasks scale to ten million samples, evaluated under random splits and temporal/group shifts. Error separates into a decreasing term and a floor for dataset d and method m: [3]
E is RMSE or 1−AP; shared exponents are shared within a dataset only
Ed,m(N)=ad,m(N/104)−b+cd,m,b=bdorbd,m
Task
Method-specific exponent R²
Shared exponent R²
Cooking
0.9938
0.9931
Jane Street
0.9312
0.9024
71 curves, 9 methods; mean R² drops by less than 0.01 on 7/8 tasks when sharing exponents. These are in-sample fits. [3]
Tuning on in-distribution validation can worsen out-of-distribution performance as data grows. Deployment-representative validation mitigates this in MLP experiments; adding OOD examples to PFN context does not always fix it. [3]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Dongyang Li · Mingsong Yan · Zheng Zhang · Sui Tang
First posted 2026-10-17 21:20 EDT · v1
Extends Muon using t-SVD and transform-domain operators. Preferred tensorizations vary across 51M–1.3B pretraining models; one transform's advantage is not universal. [4]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Tetiana Parshakova · Robert M. Gower · Paulo Orenstein
First posted 2026-10-17 15:41 EDT · v1
Connects Adam, Shampoo and Muon through structured gradient covariance, proposing MN-Muon. It beats Muon in small GPT comparisons, but is comparable to or slightly below NorMuon in the best medium-scale configurations. [5]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Alexander Gaponov · Grigory Malinovsky · Egor Shulgin · Peter Richtarik
First posted 2026-10-17 11:00 EDT · v1
Analyzes clipping alongside orthogonalization; the best optimizer in language-model experiments still depends on batch size. The abstract does not support an unconditional rate or uniform superiority to DP-Adam. [6]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Halcyon: does text-to-image need language pretraining?
Keshigeyan Chandrasegaran · Yue Zhao · Armin W. Thomas · Ehsan Adeli · Jiajun Wu · Juan Carlos Niebles · Li Fei-Fei · Michael Poli
First posted 2026-10-19 13:59 EDT · v1
Trains from scratch on 100M image–text pairs. Controlled experiments find no T2I gain from text-only pretraining. Cross-model compute ratios compare different training recipes, not strictly matched single-model ablations. [7]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Tianqi Liu · Hanfei Zhao · Qifeng Liang · Hui En Pang · Jiarui Xu · Sayang Mu · Penghao Qiu · YingSheng Zhang · Jun Wang · Ziang Cao · Mingze Sun · Yukang Cao · Fangzhou Hong · Zhaoxi Chen · Ziwei Liu
First posted 2026-10-19 13:59 EDT · v1
Uses about 10k hours of human video and 3k hours of robot experience for a cross-embodiment world model, reporting benefits from both data axes; no power-law exponent is verified here. [8]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Zekai Li · Jiayi Yu · Jinlu Zhang · Luyang Niu · Zekun Qi · Jun Zheng · Xuchuan Chen · Dairu Liu · Yintianrun Zhang · He Wang · Li Yi
First posted 2026-10-19 13:59 EDT · v1
Across 18 manipulation tasks with fixed interaction budgets, capability proxies and early feedback forecast self-improvement. Observational relationships do not identify causal effects of individual scaling axes. [9]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Yupeng Chang · Yahan Li · Chenlu Guo · Diana Inkpen · Yuan Wu · Yi Chang
First posted 2026-10-19 09:34 EDT · v1
Charges both prompt and completion tokens while allocating generation, judging and stopping online. Best in 22 of 24 configurations, within the compared policies and budget grid. [11]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Holds relevant documents fixed while adding distractors to study retrieval rankings and storage/retrieval granularity. This is corpus scaling, not parameter scaling. [12]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Builds a 2.83T-token resource across 22 languages and studies synthetic/natural text and English mixtures in continued pretraining. Mixture gains remain language- and evaluation-dependent. [13]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Minoo Ahmadi · Seyedarmin Azizi · Mehdi Kamal · Massoud Pedram
First posted 2026-10-19 03:30 EDT · v1
Uses Chopthin and retention to reduce lineage collapse in diffusion-language decoding. Oracle coverage improves, with final accuracy improving in 11/12 cases. Reset ESS alone does not establish restored diversity. [14]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Zhaonan Li · Zelei Cheng · Amritansh Mishra · Chia-Hsuan Lee · Mann Patel · Sambit Sahu · Ben Zhou · William M. Campbell
First posted 2026-10-19 02:13 EDT · v1
Expands top-k for a 4B code model under 150M tokens. It beats fixed k=10 but is close to the best fixed k=20; the single test run ties. This does not establish universal superiority to fixed policies. [15]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Zhongyin Wang · Zhaoqian Xue · Junting Mu · Haozheng Liu · Ye Yuan · Haolun Wu · Lingyao Li
First posted 2026-10-19 00:29 EDT · v1
Evaluates 35 model pairings with a small decision model reading truncated traces. Cost benefits are offline held-out estimates, not direct measurements of online deployment savings. [16]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Spherical fixed-point reasoning and adaptive halting
Arber Zela · Artavazd Maranjyan · Pol Puigdemont · David Berghaus · Valentyn Boreiko · Volkan Cevher
First posted 2026-10-18 21:45 EDT · v1
Constrains recurrent states to a sphere and chooses depth through fixed-point residuals. The abstract describes conditional stability; without full assumptions, it is not reported as unconditional convergence. [17]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
At matched compute, curriculum learning improves implicit long-horizon reasoning, but look-ahead saturates; scaling training does not remove the observed task-specific ceiling. [18]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Includes GPU load and energy in inference-budget control, trading accuracy against latency and throughput. Equal token budgets need not mean equal system cost. [19]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Refreshes latent noise to preserve search diversity for test-time scaling of deterministic flow matching. This is not simply replacing the original ODE with a reverse diffusion SDE. [20]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Search uses a frozen decision model's yes score; fully solved puzzles rise from 2 to 30 out of 128. The 15× ratio starts from a small baseline and should not replace absolute success rates. [21]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Hossein Shahabadi · Raya Namazi · Mahdieh Soleymani Baghshah
First posted 2026-10-18 12:42 EDT · v1
Uses attention to target local candidates in visual autoregressive generation under a search budget. Relative gains on targeted categories are not overall image-quality gains. [22]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
GeoART: geometric selection for camera-conditioned video
Scales test-time compute with geometry-aware candidate refinement and confidence gating, without extra training. The abstract is insufficient to verify strictly matched-budget superiority. [23]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
BatchParScale: sparse communication across streams
Hans Peter Lyngsøe Raaschou-jensen · M. Onurcan Kaya · Desmond Elliott
First posted 2026-10-18 09:14 EDT · v1
Mixes states between parallel streams at selected positions, improving language modeling. Loss gains and factual-retrieval gains do not coincide and should not be conflated. [24]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Uses online signal tests to shorten reasoning. The Ville-type bound controls signal false alarms under the relevant null, not the final-answer error rate. [25]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Changho Lee · Janghoon Han · Rajdeep Mukherjee · Yeda Song · Lening Nick Cui · Xinya Du · Honglak Lee
First posted 2026-10-17 22:28 EDT · v1
Centers gradients, removes leading directions and gates matches to select target-relevant reasoning data. Evidence is experimental across budgets and model sizes, not a universally optimal mixture theorem. [26]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Across 20 models and six benchmarks, paraphrase sampling separates accessibility from reliability. Higher mean scores do not imply reliability improves on every problem. [27]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Yuxuan Zhou · Junyuan Shang · Tianyu Wang · Chunrui Zheng · Zichang Liu · Wenbin Chang · Shuohuan Wang · Dianhai Yu
First posted 2026-10-17 12:18 EDT · v1
Uses a shared final block and multi-step objectives to increase effective depth, comparing gains within budgets. Parameter sharing alone does not establish end-to-end cost savings. [28]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Aaron Maiwald · Roderick McNeill · Jaeyoung Lee · Matthew A. Clarke · Lennart Justen · Alejandro Acelas · Ivo Andrews · Giles Harper-Donnelly · Adam Moore · Sophie Rose · Oliver M. Crook · Felix Jackson
First posted 2026-10-19 12:08 EDT · v1
Data-filtering effects in protein language models vary with model scale, while later fine-tuning can weaken their durability. This brief records only scaling and distributional findings. [29]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Harrison Zhao · Lei Huang · Fei Liu · Wen Shi · Zijian Jin
First posted 2026-10-19 01:55 EDT · v1
A signal–noise model fitted at small group size tracks gradient alignment at larger groups. Filtering and packing reduce measured training time by about 40%, while rollout generation is unchanged. [30]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Saurav Jha · Qianli Liao · Robert Vernon · Sarath Chandar · Quentin Fournier
First posted 2026-10-19 13:12 EDT · v1
Compares 155M unique parameters trained on 2T tokens with a 350M baseline. Adaptive gating further reduces expected depth, with task-dependent accuracy trade-offs; included for test-time compute scaling. [31]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Gaussian surrogates yield finite-sample risks: more student samples need not remove teacher bias, and fixed representations help below a sample-size threshold. The surrogate assumptions are essential. [32]
Brief · New preprintBased on the abstract; full theorems and experimental tables not checked
Geng Li · Guohao Chen · Shilin Shan · Jianfei Yang
First posted 2026-10-17 11:15 EDT · v1
Across eight pruning methods, three VLMs and nine benchmarks, equal token counts entail different end-to-end costs; speedup rankings change under a common capability-preservation target. [33]
Brief · Technical blogRead training setup, tool-use tables and negative results; not reproduced
The SFT-trained 0.4B model scores 74 on a 100-item tool test. Adding long-chain ToolMind data scores 49; stronger on-policy distillation reaches 75 but hurts Italian instruction-following and academic metrics, so it is excluded from the release. Over-refusal and mixture adjustments are also documented. Small tests, unreleased synthetic data and limited replication constrain generalization. [34]
Version watch · Not counted as new researchBased on current abstracts and version records; full-text revisions not compared
All updated within the search window; first-posted and version dates listed individually
Topic descriptions identify the papers; they do not claim that these findings first appear in the revisions. Previously covered SLDBench, ICS and self-orchestration are not counted again as news.
Paper / source
Authors
First / current version
Topic
Vision-language models see more about agriculture than they report, and test-time scaling remains bounded by parametric knowledge [35]
Earl Ranario · Jared Smith · Lars Lundqvist · Urmil Jatin Chandarana · Bharath Sridhar · J Mason Earles
Hanqing Zhu · Wenyan Cong · Zhizhou Sha · Sagnik Mukherjee · Xinyuan Song · David González-Martínez · Xiaoxia Wu · Yuandong Tian · Shiwei Liu · David Z. Pan · Zhangyang "Atlas" Wang
First 2026-07-21 13:51 / v2 2026-10-19 13:46 EDT
ISO: RLVR optimization linked to Muon geometry
Test-Time Augmentation for LLMs: Where to Inject Diversity at Inference Time [37]
Nikita Kozodoi · Zainab Afolabi · Jack Butler
First 2026-08-10 05:31 / v2 2026-10-19 09:05 EDT
Test-time augmentation versus reasoning diversity
Open-sci-ref-0.02: open reference baselines for reproducible language model and dataset comparison [38]
Marianna Nezhurina · Harsh Raj · Victor May · Jörg Franke · Taishi Nakamura · Timur Carstensen · Niccolò Ajroldi · Ville Komulainen · David Salinas · Jenia Jitsev
First 2025-09-10 17:13 / v4 2026-10-19 07:25 EDT
Open scaling baselines across models and datasets
Bayesian Preference Learning for Test-Time Steerable Reward Models [39]
Jiwoo Hong · Shao Tang · Zhipeng Wang
First 2026-02-09 10:55 / v3 2026-10-19 03:59 EDT
Demonstration-count scaling in preference reward models
Power Distribution Bridges Sampling, Self-Reward RL, and Self-Distillation [40]
Akiyoshi Tomihari · Issei Sato
First 2026-05-06 02:42 / v2 2026-10-19 01:50 EDT
Inference cost of power sampling versus distillation
VISTA: Test-Time Compositional Alignment for Visual Autoregressive Generation [41]
NCSN (2019) learned scores at multiple noise levels; DDPM (2020) learned discrete denoising chains. Score-SDE unifies them in continuous time: can one score define both stochastic sampling and a deterministic flow? This is historical reading, not news. [60][61]
p_t is the forward marginal density, W Brownian motion; here g is scalar and time-dependent only
dXt=f(Xt,t)dt+g(t)dWt,s∗(x,t)=∇xlogpt(x)
Denoising score matching: tractable perturbation kernels supervise the marginal score via conditional scores