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Glama
IBM

MCP Math Server

by IBM

adam_optimizer

Optimize functions using adaptive moment estimation to adjust learning rates during training for improved convergence in numerical optimization problems.

Instructions

Perform Adam optimization (adaptive moment estimation) for efficient training (Domain: numerical, Category: optimization)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
fYes
grad_fYes
x0Yes
learning_rateNo
beta1No
beta2No
epsilonNo
max_iterationsNo
toleranceNo
Behavior1/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

The description provides minimal behavioral information beyond the basic purpose. With no annotations provided, the description carries full burden but fails to disclose important traits: it doesn't mention whether this is a read-only or destructive operation, what permissions might be needed, computational complexity, convergence behavior, error handling, or what the output looks like. For a complex optimization tool with 9 parameters, this lack of behavioral context is a significant gap.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is extremely concise - a single sentence with parenthetical domain/category information. There's no wasted verbiage, and it's front-loaded with the core purpose. However, for such a complex tool, this brevity comes at the cost of completeness, making it more under-specified than optimally concise.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness1/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the tool's complexity (9 parameters, optimization algorithm), complete lack of annotations, 0% schema description coverage, and no output schema, the description is severely inadequate. It doesn't explain what the tool returns, how to interpret results, error conditions, performance characteristics, or practical usage considerations. For a numerical optimization tool that likely returns convergence results or optimized parameters, this minimal description leaves the agent with insufficient guidance.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters1/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

With 0% schema description coverage for all 9 parameters, the description provides absolutely no information about parameter meanings, formats, or usage. It doesn't explain what 'f' and 'grad_f' should contain (function definitions? mathematical expressions?), what 'x0' represents (initial guess vector), or the significance of hyperparameters like beta1, beta2, epsilon. The description fails to compensate for the complete lack of schema documentation.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states the tool performs 'Adam optimization (adaptive moment estimation)' for 'efficient training', which is a specific verb (optimize) with a resource (training process). It distinguishes from siblings by specifying a particular optimization algorithm (Adam) rather than generic operations like gradient descent or coordinate descent. However, it doesn't explicitly differentiate from other optimization siblings like gradient_descent or gradient_descent_momentum beyond naming the algorithm.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides no guidance on when to use this tool versus alternatives. While it mentions 'efficient training' and the domain/category, it doesn't specify scenarios where Adam is preferred over other optimization methods available in the sibling list (like gradient_descent, gradient_descent_momentum, coordinate_descent, or nelder_mead). There's no mention of prerequisites, typical use cases, or comparison with other optimization approaches.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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