DOSEN PROFIL LENGKAP

differentiable manifold M {\displaystyle M} of dimension n is called parallelizable if there exist smooth vector fields { V 1 , … , V n } {\displaystyle...

embarrassingly parallel workload or problem (also called embarrassingly parallelizable, perfectly parallel, delightfully parallel or pleasingly parallel) is...

GCM Galois/counter Encryption parallelizable Yes Decryption parallelizable Yes Random read access Yes Partial last block Yes...

width, [=](int x) { // Something parallelizable }); This still requires the developer to know that the loop is parallelizable, but all the other work is done...

PMAC, which stands for parallelizable MAC, is a message authentication code algorithm. It was created by Phillip Rogaway. PMAC is a method of taking a...

consider the case wherein the non-parallelizable part is reduced by a factor of O ′ {\displaystyle O'} , and the parallelizable part is correspondingly increased...

Integrity-aware parallelizable mode (IAPM) is a mode of operation for cryptographic block ciphers. As its name implies, it allows for a parallel mode of...

{\displaystyle M} . By definition, a manifold M {\displaystyle M} is parallelizable if and only if the tangent bundle is trivial. By definition, a manifold...

LLMs are typically based on transformer architecture, which is more parallelizable than earlier recurrent neural network models. Generative pre-trained...

communicating processing elements (PEs) to quickly and efficiently run highly parallelizable kernels. The "spatial" term comes from processing element instances...

is called parallelizable whenever it admits a parallelization. Every Lie group is a parallelizable manifold. The product of parallelizable manifolds is...

algorithms. Algorithms vary significantly in how parallelizable they are, ranging from easily parallelizable to completely unparallelizable. Further, a given...

does give S7 one important property: parallelizability. It turns out that the only spheres that are parallelizable are S1, S3, and S7. By using a matrix...

One of the basic structure theorems about Milnor fibers is they are parallelizable manifoldspg 75. Milnor fibers are special because they have the homotopy...

communication overhead is expensive. Iterative algorithms are generally parallelizable, but some problems have no parallel algorithms and are called inherently...

n + 1 {\displaystyle bP_{n+1}} represented by n-spheres that bound parallelizable manifolds. The structures of b P n + 1 {\displaystyle bP_{n+1}} and...

reason why the architecture is preferred by most modern LLMs is the parallelizability of the architecture over its predecessors. This ensures that the operations...

{\displaystyle R>0} ⁠. The only sphere that is not path-connected. Parallelizable. 1-sphere Commonly called a circle. Has a nontrivial fundamental group...

publication of Charanjit Jutla's integrity-aware CBC and integrity-aware parallelizable, IAPM, modes in 2000 (see OCB and chronology). Six different authenticated...

display used for real-time rendering. The rendering of images is a highly parallelizable activity, as frames and sometimes tiles can be calculated independently...

n\log n} n log ⁡ n {\displaystyle n\log n} n Yes No Merging Highly parallelizable (up to O(log n) using the Three Hungarians' Algorithm). In-Place Merge...

implementation of red–black trees can be more efficient and highly-parallelizable. In order to achieve its time complexities this implementation requires...

LLMs are typically based on transformer architecture, which is more parallelizable than earlier recurrent neural network models. Generative pre-trained...

similar to the way Amdahl's law relies on the distinction between "parallelizable" and "strictly serial". The second-system effect proposes that, when...

classes. That is, since ⁠ R n {\displaystyle \mathbb {R} ^{n}} ⁠ is parallelizable, the pullback of its tangent bundle to M is trivial; since this pullback...

due to the use of independent heads and the lack of recurrence. Its parallelizability was an important factor to its widespread use in large neural networks...

to their superior handling of long-range dependencies and greater parallelizability. Nevertheless, RNNs remain relevant for applications where computational...

were proposed using recurrent neural networks. However, the highly parallelizable self-attention was introduced in 2017 and successfully used in the Transformer...

sped up the process by roughly one-fifth. If the whole problem was parallelizable, the speed would also double. Therefore, throwing in more hardware is...

driven by increasing exploitation of parallelism. Applications are often parallelizable in two ways: either the same function is running across multiple areas...

simplicity of the counting sort algorithm and its use of the easily parallelizable prefix sum primitive also make it usable in more fine-grained parallel...

subsequent bit in the key. This procedure is also cache-local and highly parallelizable due to register independency, and thus performant on out-of-order execution...

micro-operations, then analyze and reorder the micro-operations to detect parallelizable operations that may be issued to more than one execution unit at once...

non-trivial by the hairy ball theorem. In general, a manifold is said to be parallelizable if, and only if, its tangent bundle is trivial. Vector bundles are almost...

improvement is achieved by balancing enhancements to both parallelizable and non-parallelizable components of a task. Furthermore, it reveals that increasing...

of a Lie group acts transitively on the Lie group Every Lie group is parallelizable, and hence an orientable manifold (there is a bundle isomorphism between...

uses a Matlab SVM solver to find the solution. Because SVM is easily parallelizable, the code can be faster than Glmnet on modern hardware. SpaSM, a Matlab...

[clarification needed] A similar problem occurs when the result of a parallelizable instruction is used as input for a branch. Most modern CPUs guess which...

main loop of Prim's algorithm is inherently sequential and thus not parallelizable. However, the inner loop, which determines the next edge of minimum...

supporting specific HPC workloads, particularly those that are highly parallelizable and event-driven, by leveraging its scalability and elasticity. The...

pretrain-fine-tune workflow, but uses a Transformer with implications for more parallelizable training. Peters ME, Neumann M, Iyyer M, Gardner M, Clark C, Lee K,...

org The basic unit of a parallel program is kernel. A kernel is any parallelizable task used to perform a specific job. More often functions can be realized...

twice. In order to solve this problem, Halevi and Rogaway introduced a parallelizable variant called EME (ECB–mask–ECB). It works in the following way: the...

whole Map/Reduce consists of mapping and reducing; both operations are parallelizable, the former due to its element-wise nature, the latter due to associativity...

This makes the Givens rotation algorithm more bandwidth efficient and parallelizable than the Householder reflection technique. It is possible to compute...

Sepp Hochreiter. One of the 2 blocks (mLSTM) of the architecture are parallelizable like the Transformer architecture, the other ones (sLSTM) allow state...

P-complete, when using NC reductions, can be thought of as "probably not parallelizable" or "probably inherently sequential". The parallel computer in the definition...

Retrieved 2017-01-11. ESPITAU, Thomas et al. MITAKA: A Simpler, Parallelizable, Maskable Variant of Falcon. 2021. ALKIM, E. et al. The Lattice-Based...

{\displaystyle TU\cong U\times {\mathbb {R} ^{n}}} . Since not every manifold is parallelizable, a vielbein can generally only be chosen locally (i.e. only on a coordinate...

ISBN 978-3-540-45311-6. Pal, Pinakpani; Sarkar, Palash (2003). PARSHA-256 – A new parallelizable hash Function and a multithreaded implementation. Lecture Notes in Computer...

P = NP question, the P-complete problems, viewed as the "probably not parallelizable" or "probably inherently sequential" problems, serves in a similar manner...

anomalies. Unlike traditional RNNs, SRUs are designed to be faster and more parallelizable, offering a better fit for real-time anomaly detection in complex systems...

characteristic is 0 by the product property. More generally, any compact parallelizable manifold, including any compact Lie group, has Euler characteristic 0...

Zheng, J.; Saquib, S. S.; Sauer, K.; Bouman, C. A. (2000-10-01). "Parallelizable Bayesian tomography algorithms with rapid, guaranteed convergence"....

map and reduce capabilities. MapReduce is a framework for processing parallelizable problems across large datasets using a large number of computers (nodes)...

homotopy spheres that bound an n + 1 {\displaystyle n+1} -dimensional parallelizable manifold (note that in modern notation it has become customary to denote...

universally used as it provides maximum likelihood performance and is highly parallelizable. Viterbi decoders are thus easy to implement in VLSI hardware and in...

approaches and also increased translation speed because a CNN encoder is parallelizable, whereas an RNN encoder has to encode one token at a time due to its...

Benjamin, New York-Amsterdam x+203 pp.MR 0258020 Bott–Duffin inverse Parallelizable manifold Thom's and Bott's proofs of the Lefschetz hyperplane theorem...

faster to encode and decode compared to HEIC with x265. It is also parallelizable. Lossy compression possible through the optional quantization of transform...

operations, the implementation of AVL trees can be more efficient and highly-parallelizable. The function Join on two AVL trees t1 and t2 and a key k will return...

the Skein paper defines optional features such as randomized hashing, parallelizable tree hashing, a stream cipher, personalization, and a key derivation...

The same argument shows, more generally, that every Lie group must be parallelizable. The notion of a pseudogroup provides a flexible generalization of atlases...

approximate curved surfaces accurately, they can be processed with simple, parallelizable operations. A Reyes renderer tessellates high-level primitives into...

numerical analysis of simulation results. Several actions have been made parallelizable with OpenMP and MPI. pytraj is its Python wrapper. LEaP (tleap/xleap)...

covariantly constant on locally symmetric spaces, and so these are locally parallelizable; this is the Cartan–Ambrose–Hicks theorem. Killing vector fields can...

functions differ from ParallelHash, the FIPS standardized Keccak-based parallelizable hash function, with regard to the parallelism, in that they are faster...

instrument independent manner, the TomoPy code was developed, which is a parallelizable high performance tomography library.[citation needed] "Release 1.15...

group of diffeomorphism classes of exotic (4n − 1)-spheres which bound parallelizable manifolds involves Bernoulli numbers. Let ESn be the number of such...

parameters and 12.6% fewer MACs. The quantum advantage stems from the parallelizability of Hadamard gates. While classical computation of the Hadamard transform...

is the cyclic subgroup represented by homotopy spheres that bound a parallelizable manifold, πS n is the nth stable homotopy group of spheres, and J is...

problems. Signal processing: fast Fourier transform (FFT) and other highly parallelizable functions are difficult to manually check results when written in code...

children of nodes from the right tree remain unchanged. The algorithm is parallelizable since on each level of recursion, each of the two sub-problems can be...

pairs of pants along their boundary components. Parallelizable – A smooth manifold is parallelizable if it admits a smooth global frame. This is equivalent...

the operator Δ M {\displaystyle \Delta _{M}} if the manifold is not parallelizable, i.e. if the tangent bundle is not trivial, there is no canonical procedure...

bundle admits a global section. In this case, the manifold is called parallelizable. If P {\displaystyle P} is a principal G {\displaystyle G} -bundle and...

(since R N {\displaystyle \mathbf {R} ^{N}} is contractible, hence parallelizable), so [ T N ] + [ T M / N ] = 0 {\displaystyle [\mathrm {T} N]+[\mathrm...

or "parallelize" all the tangent planes of such a surface: the only parallelizable closed surfaces are those homeomorphic to a torus. Parallel transport...

{\displaystyle X} is trivial. In particular, every Hilbert manifold is parallelizable. Every smooth Hilbert manifold can be smoothly embedded onto an open...

John; Wolf, Joel L.; Yu, Philip S. "Approximate algorithms scheduling parallelizable tasks | Proceedings of the fourth annual ACM symposium on Parallel algorithms...

neighboring elements, thus all operations of DGTD are local and easily parallelizable. Similar to FETD, DGTD employs unstructured mesh and is capable of high-order...

published several papers including "Quantum Approximate Optimization With Parallelizable Gates" and "Quantum Optimization via Four-Body Rydberg Gates". In January...

which could then be analysed, reordered, and renamed in order to detect parallelizable operations that may be issued to more than one execution unit at once...

T-Sponges, and Cryptanalysis of GLUON-64, FSE 2014, with Leo Perrin PAEQ: Parallelizable Permutation-Based Authenticated Encryption, ISC 2014, with Alex Biryukov...

{O}}(p\log p)} depth. Meyer, U.; Sanders, P. (2003-10-01). "Δ-stepping: a parallelizable shortest path algorithm". Journal of Algorithms. 1998 European Symposium...

computing, loop scheduling is the problem of assigning proper iterations of parallelizable loops among n processors to achieve load balancing and maintain data...

bundle. A global section will exist (by definition) only when M is parallelizable, which implies strong topological restrictions. In number theory there...

method has many advantages – it is robust, easy to understand, highly parallelizable (because each direction can be computed independently), versatile (there...

even sphere is nontrivial—i.e., S 2 n {\displaystyle S^{2n}} is not a parallelizable manifold, and cannot admit a Lie group structure. For odd spheres, S2n−1...

243: 118–121. Zbl 0070.30401. Forster, Otto (1967). "Some remarks on parallelizable Stein manifolds". Bulletin of the American Mathematical Society. 73...

implementation of weight-balanced trees can be more efficient and highly-parallelizable. Join The function Join is on two weight-balanced trees t1 and t2 and...

ISSN 0002-9939. Fernández, Marisa; Gotay, Mark J.; Gray, Alfred (1988). "Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds". Proceedings of the...

hours.[citation needed] Fractal generation algorithms display extreme parallelizability. Fractal-generating software was rewritten to make use of multi-threaded...

1007/BF01112815. S2CID 121327739. Forster, Otto (1967). "Some remarks on parallelizable Stein manifolds". Bulletin of the American Mathematical Society. 73...

consequence, it can use subterm-independence to divide a program into parallelizable portions. The Cuneiform scheduler distributes these portions to worker...

functions in the complexity class AC0 (a class representing highly parallelizable computational problems), Linial and his co-authors show that these functions...

for a wide motion search of many different blocks. SAD is also easily parallelizable since it analyzes each pixel separately, making it easily implementable...

{\displaystyle T_{i}} may be computed independently, the algorithm is highly parallelizable. Berkowitz, Stuart J. (30 March 1984). "On computing the determinant...

framing anomaly. This imposes that Σ {\displaystyle \Sigma } must be a parallelizable 2d manifold, which is also a strong restriction: for example, if Σ {\displaystyle...

2-sphere. A manifold that does have a global moving frame is called parallelizable. Note for example how the unit directions of latitude and longitude...

complete set of invariants): for instance, orientable 3-manifolds are parallelizable (Steenrod's theorem in low-dimensional topology), so all characteristic...

bundle TM. Hence, the four-dimensional spacetime manifold M must be a parallelizable manifold. The tetrad field was introduced to allow the distant comparison...

isolating state within function calls, and can potentially make code more parallelizable. Continuation-passing style Friedman, Daniel; Wand, Mitchell (April...

which are based on xUnit) XUnit.net JUnit "NUnit 3 Test Adapter". "Parallelizable Attribute". GitHub. "TestCaseData". GitHub. Prouse, Rob (2015-11-04)...

improved over the years. Nowadays, the algorithms are highly efficient and parallelizable. In 2016, with Intel Core i5 processors with SIMD instructions enabled...

correlation among the samples from the posterior, and relatively poor parallelizability. Likewise, the ideas of sequential Monte Carlo (SMC) and population...

possible globally in a continuous fashion if and only if the manifold is parallelizable. As before, frames can be specified in terms of a given coordinate basis...

f(A)\subset B} . p-adic homotopy theory The p-adic homotopy theory. parallelizable path class An equivalence class of paths (two paths are equivalent if...

p} is a frame at x {\displaystyle x} . It follows that a manifold is parallelizable if and only if the frame bundle of M {\displaystyle M} admits a global...

frames and coordinate charts, the manifold not being required to be parallelizable. ND4J: N-dimensional arrays for the JVM is a Java library for basic...

2025-12-01. Fernández, Marisa; Gotay, Mark J.; Gray, Alfred (1988). "Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds". Proceedings of the...

\mathbb {R} )} . A world manifold X {\displaystyle X} is said to be parallelizable if the tangent bundle T X {\displaystyle TX} and, accordingly, the frame...

2025. Fernández, Marisa; Gotay, Mark J.; Gray, Alfred (1988). "Compact Parallelizable Four Dimensional Symplectic and Complex Manifolds". Proceedings of the...

{\displaystyle bP_{n+1}} is the cyclic subgroup of n-spheres that bound a parallelizable manifold of dimension n + 1 {\displaystyle n+1} , π n S {\displaystyle...

linear connection on T X {\displaystyle TX} ) is well defined only on a parallelizable manifold X {\displaystyle X} . In field theory, one meets a problem...

GraphCrunch is a comprehensive, parallelizable, and easily extendible open source software tool for analyzing and modeling large biological networks (or...

Monte Carlo simulation of photon migration in turbid media is a highly parallelizable problem, where a large number of photons are propagated independently...

arXiv:1104.4523 [math.AT]. Ranicki, Andrew (2011). "Commentary on "On the parallelizability of the spheres" by R. Bott and J. Milnor and "On the nonexistence...

change in the message and an intermediate value in ECOH computation. Parallelizability: This means the computation of the P i ′ s {\displaystyle P_{i}'s}...

high-performance methods (potentially applicable within embedded devices) Parallelizable (e.g.: possible GPU implementation) Predictability: O ( D log ⁡ D )...

this for two reasons: It exhibits much better cache locality. It is parallelizable. The Fisher-Yates shuffle is not. Performance vs Fisher-Yates was measured...